Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is cooperative [PERIOD] Batman is agreeable [PERIOD] Batman is tender [PERIOD] Batman is difficult [PERIOD] Batman is embarrassed [PERIOD] Batman is messy [PERIOD] Batman is modern [PERIOD] Batman is old-fashioned [PERIOD] Batman is combative [PERIOD] Batman is selfish [PERIOD] Batman is unpleasant [PERI... | Proof chain:
No rule concludes “precious.”
| 0 | 1 |
Facts: Batman is shy [PERIOD] Batman is long [PERIOD] Batman is aggressive [PERIOD] Batman is curious [PERIOD] Batman is victorious [PERIOD] Batman is homely [PERIOD] Batman is witty [PERIOD] Batman is weary [PERIOD] Batman is sincere [PERIOD] Batman is embarrassed [PERIOD] Batman is popular [PERIOD] Batman is exubera... | Proof chain:
long ∧ witty ∧ aggressive ⇒ distinct
| 1 | 1 |
Facts: Batman is crowded [PERIOD] Batman is impatient [PERIOD] Batman is stupid [PERIOD] Batman is wide-eyed [PERIOD] Batman is jittery [PERIOD] Batman is ambitious [PERIOD] Batman is grumpy [PERIOD] Batman is attractive [PERIOD] Batman is different [PERIOD] Batman is supportive [PERIOD] Batman is victorious [PERIOD] ... | Proof chain:
wide-eyed ⇒ nervous
| 1 | 1 |
Facts: Batman is worried [PERIOD] Batman is sincere [PERIOD] Batman is outstanding [PERIOD] Batman is weary [PERIOD] Batman is silly [PERIOD] Batman is blushing [PERIOD] Batman is messy [PERIOD] Batman is pleasant [PERIOD] Batman is stormy [PERIOD] Batman is wrong [PERIOD]
Rules:
messy [AND] sleepy [AND] hilarious [IM... | Proof chain:
pleasant ⇒ scared
| 1 | 1 |
Facts: Batman is thoughtless [PERIOD]
Rules:
outstanding [IMPLY] polite [PERIOD]
thoughtless [AND] messy [IMPLY] modern [PERIOD]
helpless [AND] joyous [IMPLY] polite [PERIOD]
frightened [AND] clumsy [AND] zealous [IMPLY] outstanding [PERIOD]
outstanding [AND] polite [IMPLY] rational [PERIOD]
helpless [AND] shiny [IMPL... | Proof chain:
Cannot apply rule “rational ∧ pessimistic ⇒ joyous” because missing: rational, pessimistic.
| 0 | 1 |
Facts: Batman is good [PERIOD] Batman is popular [PERIOD] Batman is long [PERIOD] Batman is helpful [PERIOD] Batman is anxious [PERIOD] Batman is fearless [PERIOD] Batman is amused [PERIOD] Batman is bright [PERIOD] Batman is easy [PERIOD]
Rules:
long [AND] tame [AND] stormy [IMPLY] modern [PERIOD]
loving [AND] bored ... | Proof chain:
popular ⇒ loving
| 1 | 1 |
Facts: Batman is fearless [PERIOD] Batman is frantic [PERIOD] Batman is talkative [PERIOD] Batman is sensible [PERIOD] Batman is uptight [PERIOD] Batman is precious [PERIOD] Batman is good [PERIOD] Batman is serious [PERIOD] Batman is sleepy [PERIOD]
Rules:
precious [AND] fearless [AND] talkative [IMPLY] muddy [PERIOD... | Proof chain:
No rule concludes “confident.”
| 0 | 1 |
Facts:
Rules:
muddy [AND] loving [AND] average [IMPLY] curious [PERIOD]
condemned [AND] innocent [AND] gleaming [IMPLY] curious [PERIOD]
muddy [IMPLY] elated [PERIOD]
gleaming [IMPLY] perfect [PERIOD]
old-fashioned [AND] loving [AND] wandering [IMPLY] gleaming [PERIOD]
worried [IMPLY] loving [PERIOD]
loving [AND] wand... | Proof chain:
Cannot apply rule “old-fashioned ∧ condemned ∧ elated ⇒ average” because missing: old-fashioned, condemned, elated.
| 0 | 1 |
Facts: Batman is wrong [PERIOD] Batman is long [PERIOD] Batman is glamorous [PERIOD] Batman is vivacious [PERIOD] Batman is zealous [PERIOD] Batman is charming [PERIOD] Batman is unpleasant [PERIOD] Batman is fearless [PERIOD] Batman is confident [PERIOD] Batman is exuberant [PERIOD]
Rules:
confident [AND] polite [IMP... | Proof chain:
No rule concludes “homely.”
| 0 | 1 |
Facts: Batman is confused [PERIOD] Batman is stupid [PERIOD]
Rules:
plain [AND] sincere [IMPLY] confused [PERIOD]
outstanding [IMPLY] hypocritical [PERIOD]
ugly [AND] plain [IMPLY] hypocritical [PERIOD]
plain [AND] hilarious [AND] perfect [IMPLY] confused [PERIOD]
hilarious [AND] ugly [AND] hypocritical [IMPLY] outsta... | Proof chain:
No rule concludes “ugly.”
| 0 | 1 |
Facts: Batman is shiny [PERIOD] Batman is charming [PERIOD] Batman is thoughtless [PERIOD] Batman is good [PERIOD] Batman is enchanting [PERIOD] Batman is diplomatic [PERIOD] Batman is fancy [PERIOD] Batman is wide-eyed [PERIOD] Batman is beautiful [PERIOD] Batman is sincere [PERIOD] Batman is fearless [PERIOD] Batman... | Proof chain:
diplomatic ⇒ blushing
| 1 | 1 |
Facts: Batman is broad-minded [PERIOD] Batman is stormy [PERIOD] Batman is vivacious [PERIOD] Batman is careless [PERIOD] Batman is crowded [PERIOD] Batman is wandering [PERIOD] Batman is excited [PERIOD] Batman is sleepy [PERIOD] Batman is zealous [PERIOD]
Rules:
mysterious [AND] charming [AND] stormy [IMPLY] broad-m... | Proof chain:
zealous ⇒ charming
| 1 | 1 |
Facts:
Rules:
dull [AND] old-fashioned [AND] pleasant [IMPLY] agreeable [PERIOD]
supportive [AND] dull [IMPLY] agreeable [PERIOD]
jittery [IMPLY] old-fashioned [PERIOD]
pleasant [IMPLY] dull [PERIOD]
Query: Batman is fragile [PERIOD] | Proof chain:
No rule concludes “fragile.”
| 0 | 1 |
Facts: Batman is rational [PERIOD] Batman is scared [PERIOD] Batman is talkative [PERIOD] Batman is straightforward [PERIOD] Batman is gifted [PERIOD] Batman is troubled [PERIOD] Batman is inquisitive [PERIOD] Batman is attractive [PERIOD] Batman is joyous [PERIOD] Batman is homely [PERIOD] Batman is modern [PERIOD] B... | Proof chain:
gifted ∧ modern ∧ straightforward ⇒ busy
| 1 | 1 |
Facts: Batman is cooperative [PERIOD] Batman is supportive [PERIOD] Batman is lonely [PERIOD] Batman is jittery [PERIOD] Batman is clumsy [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
distinct [AND] combative [IMPLY] lonely [PERIOD]
elated [AND] rude [AND] clumsy [IMPLY] lonely [PERIOD]
fine [AND] sleepy [IMPLY] el... | Proof chain:
No rule concludes “thoughtful.”
| 0 | 1 |
Facts: Batman is wrong [PERIOD] Batman is uptight [PERIOD]
Rules:
tame [AND] tender [AND] popular [IMPLY] friendly [PERIOD]
innocent [AND] friendly [AND] tender [IMPLY] unpleasant [PERIOD]
friendly [AND] unpleasant [AND] worrisome [IMPLY] lucky [PERIOD]
unpleasant [AND] uptight [IMPLY] gorgeous [PERIOD]
tender [AND] p... | Proof chain:
No rule concludes “tame.”
| 0 | 1 |
Facts: Batman is versatile [PERIOD] Batman is stormy [PERIOD] Batman is hypocritical [PERIOD]
Rules:
wrong [AND] scared [AND] thoughtful [IMPLY] clumsy [PERIOD]
confident [AND] versatile [IMPLY] condemned [PERIOD]
straightforward [AND] hypocritical [AND] confident [IMPLY] pessimistic [PERIOD]
cruel [IMPLY] condemned [... | Proof chain:
Cannot apply rule “wrong ∧ scared ∧ thoughtful ⇒ clumsy” because missing: wrong, scared, thoughtful.
| 0 | 1 |
Facts: Batman is loving [PERIOD] Batman is excited [PERIOD] Batman is aggressive [PERIOD] Batman is tidy [PERIOD] Batman is amused [PERIOD]
Rules:
condemned [AND] excited [AND] shiny [IMPLY] smart [PERIOD]
excited [IMPLY] beautiful [PERIOD]
lonely [AND] gleaming [AND] ambitious [IMPLY] worried [PERIOD]
beautiful [AND]... | Proof chain:
No rule concludes “hurt.”
| 0 | 1 |
Facts: Batman is zealous [PERIOD] Batman is inquisitive [PERIOD] Batman is foolish [PERIOD] Batman is lucky [PERIOD] Batman is muddy [PERIOD] Batman is friendly [PERIOD] Batman is serious [PERIOD]
Rules:
light [IMPLY] foolish [PERIOD]
confused [AND] wide-eyed [AND] foolish [IMPLY] inquisitive [PERIOD]
light [AND] crow... | Proof chain:
foolish ∧ serious ⇒ wide-eyed
| 1 | 1 |
Facts: Batman is different [PERIOD] Batman is tender [PERIOD]
Rules:
thoughtful [AND] hurt [AND] versatile [IMPLY] alert [PERIOD]
silly [AND] proud [IMPLY] victorious [PERIOD]
alert [AND] spotless [AND] tender [IMPLY] hurt [PERIOD]
silly [IMPLY] different [PERIOD]
alert [IMPLY] victorious [PERIOD]
silly [AND] wanderin... | Proof chain:
tender ⇒ hurt
| 1 | 1 |
Facts: Batman is enchanting [PERIOD]
Rules:
naughty [AND] tense [IMPLY] scared [PERIOD]
lonely [IMPLY] hilarious [PERIOD]
distinct [AND] scared [AND] tense [IMPLY] versatile [PERIOD]
distinct [AND] difficult [IMPLY] excited [PERIOD]
distinct [AND] tense [IMPLY] enchanting [PERIOD]
comfortable [IMPLY] enchanting [PERIO... | Proof chain:
enchanting ⇒ versatile
| 1 | 1 |
Facts: Batman is gorgeous [PERIOD] Batman is tidy [PERIOD] Batman is tame [PERIOD]
Rules:
fearless [IMPLY] sincere [PERIOD]
Query: Batman is beautiful [PERIOD] | Proof chain:
No rule concludes “beautiful.”
| 0 | 1 |
Facts: Batman is confused [PERIOD] Batman is elegant [PERIOD] Batman is tired [PERIOD] Batman is smart [PERIOD] Batman is bossy [PERIOD] Batman is busy [PERIOD] Batman is cute [PERIOD] Batman is selfish [PERIOD] Batman is amused [PERIOD] Batman is curious [PERIOD] Batman is stormy [PERIOD] Batman is aggressive [PERIOD... | Proof chain:
curious ∧ amused ∧ tired ⇒ spotless
| 1 | 1 |
Facts: Batman is bright [PERIOD] Batman is joyous [PERIOD] Batman is pleasant [PERIOD] Batman is foolish [PERIOD]
Rules:
bright [IMPLY] disgusted [PERIOD]
curious [AND] foolish [IMPLY] mysterious [PERIOD]
friendly [AND] sleepy [AND] fragile [IMPLY] bright [PERIOD]
mysterious [IMPLY] fragile [PERIOD]
mysterious [AND] f... | Proof chain:
pleasant ∧ joyous ⇒ friendly
| 1 | 1 |
Facts: Batman is busy [PERIOD] Batman is tense [PERIOD] Batman is tidy [PERIOD]
Rules:
modern [AND] curious [IMPLY] busy [PERIOD]
aggressive [AND] embarrassed [IMPLY] dishonest [PERIOD]
curious [AND] dishonest [IMPLY] gorgeous [PERIOD]
weary [AND] foolish [IMPLY] busy [PERIOD]
supportive [AND] busy [IMPLY] modern [PER... | Proof chain:
No rule concludes “spotless.”
| 0 | 1 |
Facts: Batman is friendly [PERIOD] Batman is famous [PERIOD] Batman is enchanting [PERIOD] Batman is beautiful [PERIOD] Batman is frantic [PERIOD] Batman is light [PERIOD] Batman is versatile [PERIOD] Batman is talkative [PERIOD] Batman is zealous [PERIOD] Batman is agreeable [PERIOD]
Rules:
light [AND] worried [AND] ... | Proof chain:
zealous ∧ light ⇒ long
| 1 | 1 |
Facts: Batman is vivacious [PERIOD] Batman is amused [PERIOD] Batman is tender [PERIOD] Batman is agreeable [PERIOD] Batman is light [PERIOD] Batman is uptight [PERIOD] Batman is tense [PERIOD] Batman is inquisitive [PERIOD] Batman is elated [PERIOD] Batman is outrageous [PERIOD] Batman is diplomatic [PERIOD] Batman i... | Proof chain:
diplomatic ∧ amused ⇒ ugliest
| 1 | 1 |
Facts: Batman is friendly [PERIOD] Batman is weary [PERIOD] Batman is good [PERIOD] Batman is horrible [PERIOD]
Rules:
inquisitive [AND] loving [IMPLY] reserved [PERIOD]
combative [AND] loving [IMPLY] friendly [PERIOD]
nervous [IMPLY] reserved [PERIOD]
inquisitive [AND] uptight [AND] friendly [IMPLY] horrible [PERIOD]... | Proof chain:
horrible ∧ weary ⇒ combative
| 1 | 1 |
Facts: Batman is dull [PERIOD]
Rules:
embarrassed [AND] elated [IMPLY] lucky [PERIOD]
curious [AND] elated [AND] clean [IMPLY] spotless [PERIOD]
alert [IMPLY] rude [PERIOD]
lucky [IMPLY] amused [PERIOD]
bad-tempered [AND] supportive [AND] curious [IMPLY] elated [PERIOD]
enchanting [AND] bad-tempered [IMPLY] alert [PER... | Proof chain:
No rule concludes “pleasant.”
| 0 | 1 |
Facts: Batman is light [PERIOD] Batman is ugliest [PERIOD] Batman is long [PERIOD]
Rules:
beautiful [IMPLY] cooperative [PERIOD]
frightened [AND] dull [AND] pessimistic [IMPLY] muddy [PERIOD]
light [IMPLY] gorgeous [PERIOD]
exuberant [AND] pessimistic [IMPLY] ugliest [PERIOD]
beautiful [IMPLY] disgusted [PERIOD]
brigh... | Proof chain:
No rule concludes “frightened.”
| 0 | 1 |
Facts: Batman is amused [PERIOD] Batman is shy [PERIOD] Batman is hurt [PERIOD] Batman is friendly [PERIOD] Batman is talkative [PERIOD] Batman is busy [PERIOD] Batman is old-fashioned [PERIOD]
Rules:
amused [IMPLY] shy [PERIOD]
hurt [AND] old-fashioned [IMPLY] busy [PERIOD]
old-fashioned [AND] wandering [IMPLY] elate... | Proof chain:
busy ∧ friendly ⇒ stupid
| 1 | 1 |
Facts: Batman is agreeable [PERIOD] Batman is proud [PERIOD] Batman is courageous [PERIOD] Batman is distinct [PERIOD] Batman is mean [PERIOD] Batman is silly [PERIOD] Batman is ambitious [PERIOD] Batman is fancy [PERIOD] Batman is uptight [PERIOD] Batman is embarrassed [PERIOD] Batman is exuberant [PERIOD]
Rules:
sca... | Proof chain:
ambitious ⇒ hilarious
| 1 | 1 |
Facts: Batman is enchanting [PERIOD]
Rules:
ambitious [AND] shiny [AND] easy [IMPLY] inquisitive [PERIOD]
dishonest [IMPLY] average [PERIOD]
average [AND] gleaming [IMPLY] busy [PERIOD]
weary [AND] easy [AND] average [IMPLY] tense [PERIOD]
enchanting [AND] worried [AND] weary [IMPLY] victorious [PERIOD]
ambitious [AND... | Proof chain:
No rule concludes “frightened.”
| 0 | 1 |
Facts: Batman is wide-eyed [PERIOD] Batman is thoughtful [PERIOD] Batman is joyous [PERIOD] Batman is worrisome [PERIOD] Batman is spotless [PERIOD] Batman is outstanding [PERIOD] Batman is broad-minded [PERIOD] Batman is homely [PERIOD]
Rules:
thoughtful [AND] outstanding [IMPLY] joyous [PERIOD]
thoughtful [AND] fine... | Proof chain:
No rule concludes “sincere.”
| 0 | 1 |
Facts: Batman is loving [PERIOD] Batman is troubled [PERIOD] Batman is rude [PERIOD]
Rules:
plain [AND] nervous [IMPLY] muddy [PERIOD]
hypocritical [IMPLY] troubled [PERIOD]
rude [AND] amused [AND] nervous [IMPLY] hypocritical [PERIOD]
nervous [AND] amused [IMPLY] perfect [PERIOD]
outrageous [AND] attentive [IMPLY] hy... | Proof chain:
No rule concludes “calm.”
| 0 | 1 |
Facts: Batman is impartial [PERIOD] Batman is enchanting [PERIOD] Batman is inexpensive [PERIOD] Batman is comfortable [PERIOD] Batman is busy [PERIOD] Batman is silly [PERIOD] Batman is horrible [PERIOD] Batman is sensible [PERIOD] Batman is gifted [PERIOD]
Rules:
comfortable [AND] frail [IMPLY] scared [PERIOD]
horri... | Proof chain:
busy ⇒ pleasant
| 1 | 1 |
Facts: Batman is tidy [PERIOD] Batman is crowded [PERIOD] Batman is innocent [PERIOD] Batman is long [PERIOD] Batman is calm [PERIOD] Batman is witty [PERIOD] Batman is thoughtful [PERIOD] Batman is sensible [PERIOD]
Rules:
sensible [AND] outstanding [AND] messy [IMPLY] crowded [PERIOD]
thoughtful [AND] shy [AND] long... | Proof chain:
witty ⇒ powerful
| 1 | 1 |
Facts: Batman is cute [PERIOD] Batman is reserved [PERIOD] Batman is fine [PERIOD]
Rules:
supportive [AND] bright [IMPLY] cute [PERIOD]
supportive [AND] cute [AND] reserved [IMPLY] fine [PERIOD]
reserved [AND] supportive [AND] bright [IMPLY] cute [PERIOD]
supportive [AND] bright [AND] cute [IMPLY] fine [PERIOD]
Query:... | Proof chain:
No rule concludes “supportive.”
| 0 | 1 |
Facts: Batman is frightened [PERIOD] Batman is hilarious [PERIOD]
Rules:
fine [AND] anxious [AND] beautiful [IMPLY] frightened [PERIOD]
shiny [AND] hilarious [IMPLY] anxious [PERIOD]
naughty [IMPLY] beautiful [PERIOD]
anxious [AND] fine [IMPLY] hilarious [PERIOD]
fine [IMPLY] frightened [PERIOD]
frightened [AND] anxio... | Proof chain:
Cannot apply rule “frightened ∧ anxious ∧ naughty ⇒ fine” because missing: anxious, naughty.
| 0 | 1 |
Facts:
Rules:
rational [IMPLY] cruel [PERIOD]
different [AND] old-fashioned [IMPLY] alert [PERIOD]
joyous [AND] naughty [IMPLY] old-fashioned [PERIOD]
different [AND] naughty [IMPLY] shy [PERIOD]
shy [IMPLY] joyous [PERIOD]
joyous [AND] naughty [IMPLY] different [PERIOD]
old-fashioned [IMPLY] cruel [PERIOD]
frail [AND... | Proof chain:
Cannot apply rule “old-fashioned ⇒ condemned” because missing: old-fashioned.
| 0 | 1 |
Facts: Batman is impatient [PERIOD] Batman is excited [PERIOD] Batman is plain [PERIOD]
Rules:
frail [AND] intellectual [AND] zealous [IMPLY] tender [PERIOD]
dishonest [AND] pessimistic [IMPLY] hilarious [PERIOD]
versatile [AND] tender [AND] cruel [IMPLY] dishonest [PERIOD]
disobedient [AND] intellectual [IMPLY] frail... | Proof chain:
plain ⇒ dishonest
| 1 | 1 |
Facts: Batman is outstanding [PERIOD] Batman is straightforward [PERIOD] Batman is shiny [PERIOD] Batman is foolish [PERIOD] Batman is fancy [PERIOD] Batman is worrisome [PERIOD]
Rules:
confused [AND] vivacious [IMPLY] lucky [PERIOD]
Query: Batman is adorable [PERIOD] | Proof chain:
No rule concludes “adorable.”
| 0 | 1 |
Facts: Batman is clean [PERIOD] Batman is cute [PERIOD] Batman is naughty [PERIOD] Batman is disgusted [PERIOD] Batman is sleepy [PERIOD] Batman is strange [PERIOD] Batman is reserved [PERIOD] Batman is embarrassed [PERIOD] Batman is outrageous [PERIOD] Batman is gleaming [PERIOD]
Rules:
unpleasant [AND] embarrassed [... | Proof chain:
No rule concludes “helpful.”
| 0 | 1 |
Facts: Batman is attractive [PERIOD] Batman is sensible [PERIOD] Batman is gorgeous [PERIOD] Batman is friendly [PERIOD] Batman is inquisitive [PERIOD] Batman is thoughtful [PERIOD] Batman is comfortable [PERIOD] Batman is impartial [PERIOD] Batman is blushing [PERIOD] Batman is tidy [PERIOD]
Rules:
blushing [IMPLY] b... | Proof chain:
friendly ⇒ long
| 1 | 1 |
Facts:
Rules:
average [AND] long [AND] elated [IMPLY] versatile [PERIOD]
long [AND] average [IMPLY] ambitious [PERIOD]
talented [AND] versatile [IMPLY] average [PERIOD]
versatile [IMPLY] long [PERIOD]
talented [AND] careless [IMPLY] versatile [PERIOD]
versatile [IMPLY] careless [PERIOD]
average [AND] ambitious [AND] e... | Proof chain:
Cannot apply rule “ambitious ∧ elated ∧ versatile ⇒ talented” because missing: ambitious, elated, versatile.
| 0 | 1 |
Facts: Batman is tidy [PERIOD] Batman is foolish [PERIOD] Batman is thoughtful [PERIOD] Batman is elegant [PERIOD] Batman is pessimistic [PERIOD] Batman is zealous [PERIOD] Batman is naughty [PERIOD] Batman is light [PERIOD]
Rules:
gifted [AND] blushing [AND] naughty [IMPLY] pessimistic [PERIOD]
light [AND] outrageous... | Proof chain:
Cannot apply rule “bossy ⇒ uptight” because missing: bossy.
| 0 | 1 |
Facts: Batman is amused [PERIOD] Batman is diplomatic [PERIOD] Batman is ambitious [PERIOD] Batman is popular [PERIOD] Batman is cute [PERIOD] Batman is disgusted [PERIOD] Batman is witty [PERIOD] Batman is hilarious [PERIOD] Batman is muddy [PERIOD]
Rules:
different [AND] tame [IMPLY] combative [PERIOD]
tame [AND] pe... | Proof chain:
cute ⇒ combative
| 1 | 1 |
Facts: Batman is intellectual [PERIOD]
Rules:
naughty [AND] bright [IMPLY] curious [PERIOD]
elegant [IMPLY] bright [PERIOD]
curious [IMPLY] bright [PERIOD]
curious [IMPLY] intellectual [PERIOD]
elegant [AND] naughty [AND] curious [IMPLY] intellectual [PERIOD]
bright [IMPLY] curious [PERIOD]
naughty [AND] intellectual ... | Proof chain:
No rule concludes “naughty.”
| 0 | 1 |
Facts: Batman is anxious [PERIOD] Batman is fearless [PERIOD] Batman is dull [PERIOD] Batman is rude [PERIOD] Batman is loving [PERIOD] Batman is messy [PERIOD] Batman is confused [PERIOD] Batman is quaint [PERIOD]
Rules:
curious [IMPLY] anxious [PERIOD]
Query: Batman is difficult [PERIOD] | Proof chain:
No rule concludes “difficult.”
| 0 | 1 |
Facts: Batman is muddy [PERIOD] Batman is impatient [PERIOD] Batman is strange [PERIOD] Batman is crowded [PERIOD]
Rules:
tired [IMPLY] muddy [PERIOD]
easy [AND] strange [AND] crowded [IMPLY] long [PERIOD]
mean [IMPLY] famous [PERIOD]
long [AND] tired [IMPLY] easy [PERIOD]
intellectual [AND] uptight [IMPLY] inexpensiv... | Proof chain:
impatient ⇒ famous
| 1 | 1 |
Facts: Batman is jittery [PERIOD] Batman is frightened [PERIOD] Batman is diplomatic [PERIOD] Batman is talkative [PERIOD]
Rules:
diplomatic [AND] frightened [AND] jittery [IMPLY] spotless [PERIOD]
worried [AND] reserved [IMPLY] wandering [PERIOD]
reserved [IMPLY] cute [PERIOD]
grumpy [IMPLY] worried [PERIOD]
wanderin... | Proof chain:
Cannot apply rule “reserved ∧ muddy ⇒ talented” because missing: reserved, muddy.
| 0 | 1 |
Facts: Batman is clean [PERIOD] Batman is talented [PERIOD] Batman is tidy [PERIOD] Batman is witty [PERIOD] Batman is gorgeous [PERIOD] Batman is vivacious [PERIOD] Batman is selfish [PERIOD] Batman is sincere [PERIOD] Batman is grumpy [PERIOD] Batman is shiny [PERIOD] Batman is foolish [PERIOD] Batman is serious [PE... | Proof chain:
sincere ⇒ messy
| 1 | 1 |
Facts: Batman is plain [PERIOD] Batman is clean [PERIOD]
Rules:
glamorous [AND] amused [AND] perfect [IMPLY] gorgeous [PERIOD]
clean [IMPLY] jittery [PERIOD]
horrible [AND] gorgeous [AND] fearless [IMPLY] gleaming [PERIOD]
worrisome [IMPLY] ugliest [PERIOD]
blushing [AND] jittery [IMPLY] reserved [PERIOD]
gorgeous [AN... | Proof chain:
No rule concludes “helpful.”
| 0 | 1 |
Facts: Batman is rude [PERIOD] Batman is polite [PERIOD] Batman is bored [PERIOD] Batman is excited [PERIOD] Batman is elated [PERIOD] Batman is talkative [PERIOD] Batman is enchanting [PERIOD] Batman is victorious [PERIOD] Batman is tense [PERIOD] Batman is jittery [PERIOD] Batman is uptight [PERIOD] Batman is unplea... | Proof chain:
No rule concludes “busy.”
| 0 | 1 |
Facts: Batman is fragile [PERIOD] Batman is unpleasant [PERIOD] Batman is light [PERIOD] Batman is alert [PERIOD] Batman is bright [PERIOD] Batman is good [PERIOD]
Rules:
impatient [AND] frantic [IMPLY] pessimistic [PERIOD]
frantic [AND] powerful [IMPLY] good [PERIOD]
lonely [IMPLY] outrageous [PERIOD]
fine [IMPLY] im... | Proof chain:
Cannot apply rule “fine ∧ wandering ⇒ stupid” because missing: fine, wandering.
| 0 | 1 |
Facts: Batman is scared [PERIOD] Batman is grumpy [PERIOD] Batman is adorable [PERIOD] Batman is uptight [PERIOD] Batman is easy [PERIOD] Batman is condemned [PERIOD] Batman is friendly [PERIOD] Batman is homely [PERIOD] Batman is curious [PERIOD]
Rules:
curious [AND] gorgeous [AND] grumpy [IMPLY] uptight [PERIOD]
tro... | Proof chain:
Cannot apply rule “troubled ⇒ rude” because missing: troubled.
| 0 | 1 |
Facts: Batman is ugliest [PERIOD] Batman is joyous [PERIOD] Batman is innocent [PERIOD] Batman is tense [PERIOD] Batman is gorgeous [PERIOD] Batman is charming [PERIOD] Batman is uptight [PERIOD] Batman is disobedient [PERIOD] Batman is shiny [PERIOD] Batman is inexpensive [PERIOD] Batman is hurt [PERIOD] Batman is ne... | Proof chain:
inexpensive ∧ ugliest ⇒ combative
| 1 | 1 |
Facts: Batman is troubled [PERIOD] Batman is hurt [PERIOD] Batman is curious [PERIOD] Batman is inquisitive [PERIOD] Batman is hilarious [PERIOD]
Rules:
zealous [AND] fancy [AND] shiny [IMPLY] anxious [PERIOD]
hurt [AND] inquisitive [IMPLY] lucky [PERIOD]
troubled [AND] tender [IMPLY] shiny [PERIOD]
inquisitive [AND] ... | Proof chain:
curious ⇒ fancy
| 1 | 1 |
Facts: Batman is outrageous [PERIOD] Batman is homely [PERIOD] Batman is worried [PERIOD] Batman is careless [PERIOD] Batman is gorgeous [PERIOD] Batman is serious [PERIOD] Batman is fine [PERIOD] Batman is spotless [PERIOD] Batman is wrong [PERIOD] Batman is outstanding [PERIOD] Batman is pleasant [PERIOD] Batman is ... | Proof chain:
gorgeous ⇒ busy
| 1 | 1 |
Facts: Batman is hurt [PERIOD] Batman is wandering [PERIOD] Batman is stormy [PERIOD] Batman is thoughtful [PERIOD] Batman is famous [PERIOD] Batman is glamorous [PERIOD] Batman is spotless [PERIOD] Batman is courageous [PERIOD] Batman is gorgeous [PERIOD] Batman is attractive [PERIOD] Batman is attentive [PERIOD] Bat... | Proof chain:
attentive ⇒ supportive
| 1 | 1 |
Facts: Batman is naughty [PERIOD] Batman is confused [PERIOD] Batman is wrong [PERIOD]
Rules:
confused [IMPLY] powerful [PERIOD]
intellectual [AND] shiny [IMPLY] good [PERIOD]
sincere [AND] powerful [IMPLY] mysterious [PERIOD]
good [AND] sincere [AND] outrageous [IMPLY] scared [PERIOD]
sincere [AND] excited [IMPLY] be... | Proof chain:
Cannot apply rule “sincere ⇒ courageous” because missing: sincere.
| 0 | 1 |
Facts:
Rules:
sincere [AND] clean [AND] thoughtful [IMPLY] beautiful [PERIOD]
powerful [IMPLY] worried [PERIOD]
attractive [AND] victorious [AND] thoughtless [IMPLY] average [PERIOD]
combative [AND] jittery [IMPLY] victorious [PERIOD]
versatile [IMPLY] tidy [PERIOD]
tidy [AND] thoughtful [AND] fearless [IMPLY] lonely ... | Proof chain:
No rule concludes “strange.”
| 0 | 1 |
Facts: Batman is combative [PERIOD] Batman is ambitious [PERIOD] Batman is unpleasant [PERIOD] Batman is proud [PERIOD] Batman is friendly [PERIOD] Batman is popular [PERIOD] Batman is lucky [PERIOD] Batman is impatient [PERIOD] Batman is worried [PERIOD] Batman is tired [PERIOD] Batman is long [PERIOD]
Rules:
uptight... | Proof chain:
combative ⇒ uptight
| 1 | 1 |
Facts: Batman is careless [PERIOD] Batman is muddy [PERIOD] Batman is fancy [PERIOD]
Rules:
sincere [IMPLY] distinct [PERIOD]
Query: Batman is mean [PERIOD] | Proof chain:
No rule concludes “mean.”
| 0 | 1 |
Facts: Batman is vivacious [PERIOD] Batman is sleepy [PERIOD]
Rules:
supportive [IMPLY] frightened [PERIOD]
innocent [IMPLY] sleepy [PERIOD]
friendly [AND] lucky [IMPLY] innocent [PERIOD]
supportive [AND] frail [IMPLY] tense [PERIOD]
versatile [IMPLY] vivacious [PERIOD]
lucky [IMPLY] innocent [PERIOD]
innocent [IMPLY]... | Proof chain:
No rule concludes “careless.”
| 0 | 1 |
Facts: Batman is lonely [PERIOD] Batman is helpless [PERIOD] Batman is friendly [PERIOD] Batman is loving [PERIOD] Batman is worrisome [PERIOD] Batman is crowded [PERIOD] Batman is elated [PERIOD]
Rules:
shy [IMPLY] helpless [PERIOD]
diplomatic [AND] clumsy [IMPLY] curious [PERIOD]
friendly [AND] worrisome [AND] shy [... | Proof chain:
No rule concludes “diplomatic.”
| 0 | 1 |
Facts: Batman is foolish [PERIOD] Batman is inexpensive [PERIOD] Batman is exuberant [PERIOD]
Rules:
inexpensive [AND] worried [AND] agreeable [IMPLY] foolish [PERIOD]
worried [AND] foolish [AND] agreeable [IMPLY] inexpensive [PERIOD]
worried [IMPLY] agreeable [PERIOD]
worried [IMPLY] exuberant [PERIOD]
inexpensive [A... | Proof chain:
foolish ⇒ worried
| 1 | 1 |
Facts:
Rules:
embarrassed [IMPLY] hypocritical [PERIOD]
quaint [AND] hypocritical [AND] intellectual [IMPLY] calm [PERIOD]
hypocritical [IMPLY] confused [PERIOD]
different [AND] attractive [IMPLY] quaint [PERIOD]
different [AND] quaint [AND] proud [IMPLY] friendly [PERIOD]
friendly [IMPLY] quaint [PERIOD]
hypocritical... | Proof chain:
Cannot apply rule “quaint ∧ hypocritical ∧ intellectual ⇒ calm” because missing: quaint, hypocritical, intellectual.
| 0 | 1 |
Facts: Batman is proud [PERIOD] Batman is agreeable [PERIOD] Batman is mysterious [PERIOD] Batman is combative [PERIOD] Batman is anxious [PERIOD] Batman is elated [PERIOD] Batman is famous [PERIOD] Batman is charming [PERIOD] Batman is stormy [PERIOD]
Rules:
blushing [AND] mysterious [AND] anxious [IMPLY] proud [PERI... | Proof chain:
combative ⇒ blushing
| 1 | 1 |
Facts: Batman is alert [PERIOD] Batman is charming [PERIOD] Batman is helpful [PERIOD] Batman is sleepy [PERIOD] Batman is vivacious [PERIOD] Batman is rude [PERIOD] Batman is muddy [PERIOD] Batman is intellectual [PERIOD] Batman is talkative [PERIOD] Batman is sensible [PERIOD] Batman is selfish [PERIOD] Batman is fr... | Proof chain:
innocent ∧ rude ∧ grumpy ⇒ famous
| 1 | 1 |
Facts: Batman is confident [PERIOD] Batman is frightened [PERIOD] Batman is fearless [PERIOD] Batman is alert [PERIOD] Batman is distinct [PERIOD] Batman is gifted [PERIOD] Batman is strange [PERIOD]
Rules:
aggressive [AND] lucky [IMPLY] grumpy [PERIOD]
confident [IMPLY] rude [PERIOD]
bad-tempered [IMPLY] bored [PERIO... | Proof chain:
Cannot apply rule “grumpy ∧ elegant ⇒ aggressive” because missing: grumpy, elegant.
| 0 | 1 |
Facts: Batman is shy [PERIOD] Batman is broad-minded [PERIOD] Batman is famous [PERIOD] Batman is attractive [PERIOD] Batman is hilarious [PERIOD]
Rules:
shy [IMPLY] broad-minded [PERIOD]
busy [IMPLY] comfortable [PERIOD]
shy [AND] comfortable [AND] attractive [IMPLY] famous [PERIOD]
shy [AND] broad-minded [IMPLY] bus... | Proof chain:
shy ∧ broad-minded ⇒ busy
| 1 | 1 |
Facts:
Rules:
beautiful [AND] rude [AND] hypocritical [IMPLY] excited [PERIOD]
Query: Batman is tense [PERIOD] | Proof chain:
No rule concludes “tense.”
| 0 | 1 |
Facts:
Rules:
thoughtful [AND] victorious [AND] ugly [IMPLY] blushing [PERIOD]
precious [IMPLY] disobedient [PERIOD]
victorious [AND] precious [AND] ugly [IMPLY] thoughtful [PERIOD]
victorious [AND] unpleasant [AND] blushing [IMPLY] precious [PERIOD]
unpleasant [IMPLY] thoughtful [PERIOD]
unpleasant [IMPLY] blushing [... | Proof chain:
No rule concludes “unpleasant.”
| 0 | 1 |
Facts: Batman is disgusted [PERIOD] Batman is ambitious [PERIOD] Batman is fine [PERIOD] Batman is difficult [PERIOD] Batman is rude [PERIOD] Batman is hilarious [PERIOD]
Rules:
weary [IMPLY] courageous [PERIOD]
fine [AND] rude [IMPLY] aggressive [PERIOD]
aggressive [IMPLY] disgusted [PERIOD]
difficult [AND] courageou... | Proof chain:
hilarious ⇒ curious
| 1 | 1 |
Facts: Batman is witty [PERIOD] Batman is tense [PERIOD] Batman is unpleasant [PERIOD] Batman is attentive [PERIOD] Batman is modern [PERIOD] Batman is hypocritical [PERIOD]
Rules:
disobedient [AND] attentive [IMPLY] modern [PERIOD]
disobedient [IMPLY] homely [PERIOD]
fragile [AND] disobedient [AND] homely [IMPLY] mod... | Proof chain:
No rule concludes “disobedient.”
| 0 | 1 |
Facts: Batman is wrong [PERIOD] Batman is messy [PERIOD] Batman is powerful [PERIOD] Batman is popular [PERIOD] Batman is exuberant [PERIOD] Batman is helpful [PERIOD] Batman is mysterious [PERIOD] Batman is amused [PERIOD] Batman is troubled [PERIOD]
Rules:
lonely [AND] supportive [AND] ambitious [IMPLY] calm [PERIOD... | Proof chain:
No rule concludes “impatient.”
| 0 | 1 |
Facts: Batman is sensible [PERIOD] Batman is cooperative [PERIOD] Batman is helpless [PERIOD] Batman is crowded [PERIOD] Batman is uptight [PERIOD] Batman is loving [PERIOD] Batman is enchanting [PERIOD] Batman is bored [PERIOD] Batman is stupid [PERIOD] Batman is unpleasant [PERIOD] Batman is stubborn [PERIOD] Batman... | Proof chain:
attentive ⇒ difficult
| 1 | 1 |
Facts:
Rules:
elegant [IMPLY] different [PERIOD]
disgusted [IMPLY] easy [PERIOD]
stubborn [AND] gifted [IMPLY] elegant [PERIOD]
stubborn [AND] muddy [AND] powerful [IMPLY] attentive [PERIOD]
attentive [IMPLY] confident [PERIOD]
Query: Batman is gifted [PERIOD] | Proof chain:
No rule concludes “gifted.”
| 0 | 1 |
Facts: Batman is gleaming [PERIOD] Batman is outstanding [PERIOD] Batman is wandering [PERIOD] Batman is combative [PERIOD]
Rules:
Query: Batman is pessimistic [PERIOD] | Proof chain:
No rule concludes “pessimistic.”
| 0 | 1 |
Facts: Batman is elated [PERIOD] Batman is gorgeous [PERIOD] Batman is nervous [PERIOD] Batman is worried [PERIOD]
Rules:
elated [AND] nervous [AND] gorgeous [IMPLY] modern [PERIOD]
modern [IMPLY] gorgeous [PERIOD]
worried [AND] elated [AND] gorgeous [IMPLY] nervous [PERIOD]
modern [IMPLY] nervous [PERIOD]
worried [IM... | Proof chain:
elated ∧ nervous ∧ gorgeous ⇒ modern
| 1 | 1 |
Facts: Batman is homely [PERIOD] Batman is nervous [PERIOD] Batman is joyous [PERIOD] Batman is sleepy [PERIOD] Batman is amused [PERIOD] Batman is frail [PERIOD] Batman is agreeable [PERIOD] Batman is pessimistic [PERIOD] Batman is quaint [PERIOD] Batman is ambitious [PERIOD]
Rules:
proud [AND] cute [AND] gorgeous [I... | Proof chain:
sleepy ∧ quaint ∧ homely ⇒ busy
| 1 | 1 |
Facts: Batman is messy [PERIOD] Batman is versatile [PERIOD] Batman is thoughtless [PERIOD]
Rules:
vivacious [AND] versatile [IMPLY] nervous [PERIOD]
perfect [IMPLY] clumsy [PERIOD]
homely [IMPLY] troubled [PERIOD]
ambitious [AND] clumsy [AND] messy [IMPLY] versatile [PERIOD]
ambitious [IMPLY] vivacious [PERIOD]
vivac... | Proof chain:
Cannot apply rule “rational ∧ confused ⇒ glamorous” because missing: rational, confused.
| 0 | 1 |
Facts: Batman is mean [PERIOD] Batman is bored [PERIOD] Batman is intellectual [PERIOD] Batman is confused [PERIOD] Batman is busy [PERIOD] Batman is impatient [PERIOD] Batman is tender [PERIOD] Batman is proud [PERIOD] Batman is reserved [PERIOD] Batman is dull [PERIOD] Batman is lucky [PERIOD]
Rules:
mean [AND] comb... | Proof chain:
impatient ∧ mean ⇒ combative
| 1 | 1 |
Facts: Batman is powerful [PERIOD] Batman is average [PERIOD] Batman is anxious [PERIOD] Batman is nervous [PERIOD] Batman is charming [PERIOD]
Rules:
anxious [IMPLY] dishonest [PERIOD]
nervous [IMPLY] average [PERIOD]
dishonest [IMPLY] average [PERIOD]
charming [AND] nervous [AND] impartial [IMPLY] average [PERIOD]
d... | Proof chain:
anxious ⇒ dishonest
| 1 | 1 |
Facts:
Rules:
loving [AND] bored [AND] thoughtful [IMPLY] long [PERIOD]
hilarious [IMPLY] loving [PERIOD]
perfect [AND] hilarious [AND] thoughtful [IMPLY] homely [PERIOD]
thoughtful [IMPLY] hilarious [PERIOD]
thoughtful [IMPLY] perfect [PERIOD]
thoughtful [AND] loving [IMPLY] homely [PERIOD]
loving [IMPLY] hilarious [... | Proof chain:
No rule concludes “worried.”
| 0 | 1 |
Facts: Batman is tender [PERIOD] Batman is ugly [PERIOD] Batman is dull [PERIOD] Batman is sincere [PERIOD] Batman is fancy [PERIOD] Batman is shiny [PERIOD] Batman is straightforward [PERIOD] Batman is mysterious [PERIOD] Batman is perfect [PERIOD] Batman is calm [PERIOD] Batman is sensible [PERIOD] Batman is gleamin... | Proof chain:
tender ∧ dull ∧ ugly ⇒ beautiful
| 1 | 1 |
Facts: Batman is stubborn [PERIOD] Batman is homely [PERIOD] Batman is difficult [PERIOD]
Rules:
pessimistic [AND] naughty [AND] light [IMPLY] broad-minded [PERIOD]
unpleasant [IMPLY] attractive [PERIOD]
worrisome [IMPLY] light [PERIOD]
impatient [AND] worrisome [IMPLY] sleepy [PERIOD]
broad-minded [IMPLY] worrisome [... | Proof chain:
No rule concludes “naughty.”
| 0 | 1 |
Facts: Batman is embarrassed [PERIOD] Batman is attractive [PERIOD] Batman is victorious [PERIOD] Batman is popular [PERIOD]
Rules:
attractive [AND] stubborn [IMPLY] embarrassed [PERIOD]
victorious [AND] versatile [IMPLY] embarrassed [PERIOD]
attractive [AND] modern [AND] popular [IMPLY] adorable [PERIOD]
embarrassed ... | Proof chain:
victorious ⇒ modern
| 1 | 1 |
Facts: Batman is combative [PERIOD] Batman is clumsy [PERIOD] Batman is stubborn [PERIOD] Batman is worried [PERIOD] Batman is sleepy [PERIOD] Batman is homely [PERIOD] Batman is distinct [PERIOD] Batman is bright [PERIOD] Batman is dull [PERIOD] Batman is tender [PERIOD] Batman is inquisitive [PERIOD]
Rules:
scared [... | Proof chain:
sleepy ⇒ frail
| 1 | 1 |
Facts: Batman is weary [PERIOD] Batman is beautiful [PERIOD] Batman is light [PERIOD] Batman is busy [PERIOD] Batman is gorgeous [PERIOD] Batman is blushing [PERIOD] Batman is hurt [PERIOD] Batman is perfect [PERIOD] Batman is grumpy [PERIOD] Batman is mean [PERIOD] Batman is anxious [PERIOD] Batman is outstanding [PE... | Proof chain:
No rule concludes “bad-tempered.”
| 0 | 1 |
Facts: Batman is lonely [PERIOD] Batman is helpless [PERIOD] Batman is difficult [PERIOD] Batman is impartial [PERIOD] Batman is uptight [PERIOD] Batman is enchanting [PERIOD] Batman is disobedient [PERIOD]
Rules:
messy [AND] bright [IMPLY] thoughtless [PERIOD]
worrisome [AND] bright [IMPLY] lucky [PERIOD]
difficult [... | Proof chain:
impartial ⇒ bright
| 1 | 1 |
Facts: Batman is light [PERIOD] Batman is courageous [PERIOD] Batman is plain [PERIOD] Batman is disgusted [PERIOD] Batman is innocent [PERIOD]
Rules:
popular [AND] courageous [AND] light [IMPLY] plain [PERIOD]
disgusted [AND] innocent [AND] plain [IMPLY] light [PERIOD]
plain [AND] popular [AND] courageous [IMPLY] dis... | Proof chain:
disgusted ⇒ popular
| 1 | 1 |
Facts: Batman is attractive [PERIOD] Batman is adorable [PERIOD] Batman is thoughtful [PERIOD] Batman is joyous [PERIOD] Batman is mean [PERIOD] Batman is wrong [PERIOD] Batman is broad-minded [PERIOD] Batman is charming [PERIOD] Batman is straightforward [PERIOD] Batman is supportive [PERIOD] Batman is troubled [PERI... | Proof chain:
mean ∧ adorable ⇒ curious
| 1 | 1 |
Facts: Batman is elegant [PERIOD] Batman is famous [PERIOD]
Rules:
famous [AND] easy [AND] frantic [IMPLY] ambitious [PERIOD]
easy [IMPLY] frantic [PERIOD]
proud [IMPLY] horrible [PERIOD]
homely [AND] muddy [AND] frantic [IMPLY] helpless [PERIOD]
easy [AND] horrible [IMPLY] ambitious [PERIOD]
elegant [AND] frantic [AN... | Proof chain:
No rule concludes “muddy.”
| 0 | 1 |
Facts: Batman is shy [PERIOD] Batman is fearless [PERIOD] Batman is loving [PERIOD] Batman is impatient [PERIOD] Batman is perfect [PERIOD] Batman is average [PERIOD] Batman is quaint [PERIOD]
Rules:
impatient [AND] confused [IMPLY] thoughtless [PERIOD]
precious [AND] impatient [AND] loving [IMPLY] confused [PERIOD]
s... | Proof chain:
No rule concludes “precious.”
| 0 | 1 |
Facts: Batman is popular [PERIOD] Batman is quaint [PERIOD] Batman is precious [PERIOD] Batman is diplomatic [PERIOD]
Rules:
jittery [AND] impatient [IMPLY] glamorous [PERIOD]
jittery [AND] quaint [AND] precious [IMPLY] silly [PERIOD]
glamorous [AND] fragile [AND] diplomatic [IMPLY] impatient [PERIOD]
diplomatic [IMPL... | Proof chain:
No rule concludes “fragile.”
| 0 | 1 |
Facts: Batman is selfish [PERIOD] Batman is adorable [PERIOD] Batman is polite [PERIOD] Batman is intellectual [PERIOD] Batman is attentive [PERIOD] Batman is sleepy [PERIOD]
Rules:
confident [IMPLY] silly [PERIOD]
polite [AND] bright [IMPLY] anxious [PERIOD]
bright [AND] anxious [IMPLY] old-fashioned [PERIOD]
attenti... | Proof chain:
Cannot apply rule “polite ∧ bright ⇒ anxious” because missing: bright.
| 0 | 1 |
Facts: Batman is different [PERIOD] Batman is horrible [PERIOD]
Rules:
attentive [AND] pleasant [AND] different [IMPLY] horrible [PERIOD]
attractive [AND] cute [IMPLY] gifted [PERIOD]
pleasant [AND] attentive [AND] cute [IMPLY] gifted [PERIOD]
intellectual [AND] cute [IMPLY] attractive [PERIOD]
Query: Batman is cute [... | Proof chain:
No rule concludes “cute.”
| 0 | 1 |
Facts: Batman is messy [PERIOD] Batman is dishonest [PERIOD] Batman is easy [PERIOD] Batman is rational [PERIOD] Batman is horrible [PERIOD] Batman is popular [PERIOD] Batman is crowded [PERIOD] Batman is plain [PERIOD] Batman is precious [PERIOD]
Rules:
light [IMPLY] embarrassed [PERIOD]
embarrassed [AND] messy [IMPL... | Proof chain:
easy ∧ dishonest ⇒ hypocritical
| 1 | 1 |
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