Question string | Complex_CoT string | Response int64 | Depth int64 |
|---|---|---|---|
Facts: Batman is sensible [PERIOD]
Rules:
modern [IMPLY] good [PERIOD]
modern [IMPLY] helpful [PERIOD]
modern [IMPLY] frantic [PERIOD]
good [AND] modern [IMPLY] frantic [PERIOD]
frantic [AND] helpful [IMPLY] good [PERIOD]
sensible [AND] worried [AND] modern [IMPLY] good [PERIOD]
modern [AND] good [IMPLY] sensible [PER... | Proof chain:
Cannot apply rule “modern ⇒ good” because missing: modern.
Cannot apply rule “frantic ∧ helpful ⇒ good” because missing: frantic, helpful.
Cannot apply rule “sensible ∧ worried ∧ modern ⇒ good” because missing: worried, modern.
Cannot apply rule “frantic ∧ modern ⇒ good” because missing: franti... | 0 | 4 |
Facts: Batman is fancy [PERIOD] Batman is horrible [PERIOD] Batman is crowded [PERIOD]
Rules:
precious [IMPLY] anxious [PERIOD]
jittery [AND] horrible [AND] beautiful [IMPLY] modern [PERIOD]
clean [AND] modern [IMPLY] precious [PERIOD]
cute [AND] easy [AND] modern [IMPLY] fancy [PERIOD]
victorious [IMPLY] mean [PERIOD... | Proof chain:
Cannot apply rule “precious ⇒ anxious” because missing: precious.
Cannot apply rule “old-fashioned ∧ crowded ⇒ anxious” because missing: old-fashioned.
Cannot apply rule “cute ∧ clean ∧ jittery ⇒ anxious” because missing: cute, clean, jittery.
Cannot apply rule “beautiful ∧ disobedient ⇒ anxiou... | 0 | 4 |
Facts: Batman is worrisome [PERIOD] Batman is enchanting [PERIOD] Batman is cute [PERIOD]
Rules:
ugly [AND] plain [AND] clean [IMPLY] difficult [PERIOD]
frail [AND] shy [IMPLY] unpleasant [PERIOD]
frail [AND] clean [AND] plain [IMPLY] fragile [PERIOD]
bright [AND] helpful [IMPLY] ugly [PERIOD]
clean [AND] plain [IMPLY... | Proof chain:
Cannot apply rule “frail ∧ clean ∧ plain ⇒ fragile” because missing: frail, clean, plain.
enchanting ⇒ sleepy
sleepy ⇒ shy
Cannot apply rule “thoughtful ∧ muddy ∧ shy ⇒ fragile” because missing: thoughtful, muddy.
| 0 | 4 |
Facts:
Rules:
anxious [AND] tender [AND] precious [IMPLY] gleaming [PERIOD]
stormy [AND] elegant [AND] clumsy [IMPLY] intellectual [PERIOD]
courageous [AND] exuberant [AND] gleaming [IMPLY] elegant [PERIOD]
tender [IMPLY] stormy [PERIOD]
gleaming [AND] loving [AND] stormy [IMPLY] bright [PERIOD]
loving [AND] courageou... | Proof chain:
Cannot apply rule “anxious ∧ tender ∧ precious ⇒ gleaming” because missing: anxious, tender, precious.
Cannot apply rule “loving ∧ bright ⇒ gleaming” because missing: loving, bright.
Cannot apply rule “tender ∧ elegant ⇒ gleaming” because missing: tender, elegant.
Cannot apply rule “anxious ∧ e... | 0 | 4 |
Facts: Batman is reserved [PERIOD] Batman is popular [PERIOD] Batman is plain [PERIOD] Batman is calm [PERIOD] Batman is fragile [PERIOD]
Rules:
plain [AND] worried [AND] different [IMPLY] modern [PERIOD]
broad-minded [AND] fragile [AND] reserved [IMPLY] bored [PERIOD]
fragile [AND] frantic [AND] distinct [IMPLY] mode... | Proof chain:
plain ∧ fragile ⇒ broad-minded
broad-minded ∧ fragile ∧ reserved ⇒ bored
bored ⇒ shy
shy ⇒ different
| 1 | 4 |
Facts: Batman is careless [PERIOD] Batman is ambitious [PERIOD] Batman is gorgeous [PERIOD] Batman is bad-tempered [PERIOD] Batman is reserved [PERIOD]
Rules:
strange [IMPLY] ambitious [PERIOD]
distinct [AND] confused [AND] vivacious [IMPLY] strange [PERIOD]
plain [IMPLY] talkative [PERIOD]
ugly [AND] reserved [IMPLY]... | Proof chain:
gorgeous ∧ reserved ⇒ agreeable
agreeable ⇒ vivacious
gorgeous ∧ reserved ⇒ agreeable
Cannot apply rule “confident ∧ vivacious ∧ agreeable ⇒ plain” because missing: confident.
| 0 | 4 |
Facts: Batman is tired [PERIOD] Batman is unpleasant [PERIOD] Batman is tender [PERIOD] Batman is witty [PERIOD] Batman is tame [PERIOD] Batman is anxious [PERIOD] Batman is plain [PERIOD] Batman is blushing [PERIOD] Batman is troubled [PERIOD] Batman is ugly [PERIOD] Batman is reserved [PERIOD] Batman is charming [PE... | Proof chain:
unpleasant ⇒ messy
messy ∧ troubled ⇒ grumpy
unpleasant ⇒ messy
grumpy ∧ talented ∧ messy ⇒ thoughtless
| 1 | 4 |
Facts: Batman is outstanding [PERIOD] Batman is elegant [PERIOD]
Rules:
innocent [IMPLY] enchanting [PERIOD]
alert [AND] innocent [IMPLY] bored [PERIOD]
bright [IMPLY] bored [PERIOD]
outstanding [AND] inquisitive [IMPLY] enchanting [PERIOD]
combative [AND] alert [AND] cruel [IMPLY] inquisitive [PERIOD]
strange [AND] s... | Proof chain:
Cannot apply rule “enchanting ∧ modern ⇒ worrisome” because missing: enchanting, modern.
Cannot apply rule “cruel ⇒ worrisome” because missing: cruel.
Cannot apply rule “distinct ⇒ worrisome” because missing: distinct.
Cannot apply rule “smart ∧ innocent ⇒ worrisome” because missing: smart, inn... | 0 | 4 |
Facts: Batman is helpful [PERIOD] Batman is impartial [PERIOD] Batman is wrong [PERIOD] Batman is naughty [PERIOD] Batman is light [PERIOD] Batman is charming [PERIOD] Batman is sincere [PERIOD] Batman is embarrassed [PERIOD] Batman is clumsy [PERIOD]
Rules:
clumsy [AND] light [AND] naughty [IMPLY] powerful [PERIOD]
e... | Proof chain:
clumsy ∧ light ∧ naughty ⇒ powerful
clumsy ∧ light ∧ naughty ⇒ powerful
powerful ∧ sincere ⇒ bad-tempered
powerful ∧ bad-tempered ⇒ cooperative
| 1 | 4 |
Facts: Batman is gorgeous [PERIOD]
Rules:
blushing [IMPLY] famous [PERIOD]
courageous [IMPLY] worried [PERIOD]
gorgeous [AND] famous [AND] mysterious [IMPLY] courageous [PERIOD]
gorgeous [AND] worried [IMPLY] mysterious [PERIOD]
mysterious [IMPLY] blushing [PERIOD]
famous [AND] courageous [IMPLY] blushing [PERIOD]
wor... | Proof chain:
Cannot apply rule “courageous ⇒ worried” because missing: courageous.
Cannot apply rule “blushing ∧ gorgeous ∧ famous ⇒ worried” because missing: blushing, famous.
Cannot apply rule “blushing ∧ courageous ⇒ worried” because missing: blushing, courageous.
Cannot apply rule “famous ∧ courageous ∧... | 0 | 4 |
Facts: Batman is victorious [PERIOD]
Rules:
exuberant [IMPLY] victorious [PERIOD]
stubborn [IMPLY] proud [PERIOD]
victorious [IMPLY] dull [PERIOD]
exuberant [IMPLY] good [PERIOD]
attentive [AND] good [AND] exuberant [IMPLY] victorious [PERIOD]
stubborn [AND] victorious [IMPLY] good [PERIOD]
dull [IMPLY] stubborn [PERI... | Proof chain:
victorious ⇒ dull
dull ⇒ stubborn
stubborn ⇒ proud
proud ⇒ attentive
| 1 | 4 |
Facts: Batman is average [PERIOD]
Rules:
average [AND] talkative [IMPLY] troubled [PERIOD]
average [AND] nervous [AND] victorious [IMPLY] talkative [PERIOD]
talkative [AND] troubled [AND] average [IMPLY] victorious [PERIOD]
nervous [AND] average [AND] troubled [IMPLY] talkative [PERIOD]
talkative [IMPLY] nervous [PERI... | Proof chain:
average ⇒ troubled
average ⇒ troubled
troubled ∧ average ⇒ nervous
troubled ∧ nervous ⇒ victorious
| 1 | 4 |
Facts: Batman is horrible [PERIOD] Batman is naughty [PERIOD] Batman is spotless [PERIOD] Batman is scared [PERIOD] Batman is difficult [PERIOD] Batman is vivacious [PERIOD] Batman is thoughtful [PERIOD] Batman is disobedient [PERIOD] Batman is elated [PERIOD] Batman is average [PERIOD] Batman is agreeable [PERIOD]
Ru... | Proof chain:
naughty ⇒ friendly
disobedient ⇒ grumpy
friendly ∧ grumpy ⇒ fancy
disobedient ∧ thoughtful ∧ fancy ⇒ blushing
| 1 | 4 |
Facts:
Rules:
innocent [AND] elegant [IMPLY] supportive [PERIOD]
frail [AND] combative [AND] frantic [IMPLY] innocent [PERIOD]
frail [AND] charming [IMPLY] elegant [PERIOD]
combative [IMPLY] charming [PERIOD]
amused [AND] innocent [AND] frail [IMPLY] elegant [PERIOD]
frantic [IMPLY] supportive [PERIOD]
enchanting [IMP... | Proof chain:
Cannot apply rule “frail ∧ charming ⇒ elegant” because missing: frail, charming.
Cannot apply rule “amused ∧ innocent ∧ frail ⇒ elegant” because missing: amused, innocent, frail.
Cannot apply rule “supportive ∧ charming ⇒ elegant” because missing: supportive, charming.
Cannot apply rule “franti... | 0 | 4 |
Facts: Batman is frightened [PERIOD] Batman is fearless [PERIOD] Batman is reserved [PERIOD] Batman is hilarious [PERIOD]
Rules:
worried [AND] lonely [AND] outrageous [IMPLY] frightened [PERIOD]
rational [AND] different [IMPLY] talented [PERIOD]
reserved [AND] muddy [AND] gorgeous [IMPLY] worried [PERIOD]
gorgeous [AN... | Proof chain:
hilarious ⇒ talented
talented ⇒ agreeable
frightened ∧ agreeable ⇒ easy
fearless ∧ easy ⇒ muddy
| 1 | 4 |
Facts: Batman is versatile [PERIOD] Batman is modern [PERIOD]
Rules:
thoughtless [AND] dull [IMPLY] talented [PERIOD]
distinct [AND] versatile [AND] modern [IMPLY] clean [PERIOD]
friendly [IMPLY] bored [PERIOD]
long [AND] perfect [IMPLY] average [PERIOD]
popular [IMPLY] mean [PERIOD]
perfect [IMPLY] bored [PERIOD]
wan... | Proof chain:
Cannot apply rule “long ∧ perfect ⇒ average” because missing: long, perfect.
Cannot apply rule “loving ∧ fancy ⇒ average” because missing: loving, fancy.
Cannot apply rule “thoughtless ⇒ average” because missing: thoughtless.
Cannot apply rule “dull ∧ distinct ∧ versatile ⇒ average” because mis... | 0 | 4 |
Facts: Batman is gleaming [PERIOD] Batman is beautiful [PERIOD] Batman is alert [PERIOD] Batman is charming [PERIOD]
Rules:
charming [AND] tender [AND] mysterious [IMPLY] proud [PERIOD]
gleaming [AND] tense [AND] mysterious [IMPLY] quaint [PERIOD]
proud [AND] rational [AND] beautiful [IMPLY] inexpensive [PERIOD]
comfo... | Proof chain:
charming ⇒ tense
charming ⇒ tense
tense ⇒ mysterious
gleaming ∧ tense ∧ mysterious ⇒ quaint
| 1 | 4 |
Facts: Batman is sleepy [PERIOD] Batman is ugliest [PERIOD] Batman is rude [PERIOD] Batman is broad-minded [PERIOD] Batman is shiny [PERIOD] Batman is versatile [PERIOD] Batman is quaint [PERIOD] Batman is calm [PERIOD]
Rules:
calm [AND] cooperative [AND] jittery [IMPLY] sleepy [PERIOD]
jittery [AND] rude [IMPLY] vers... | Proof chain:
Cannot apply rule “jittery ∧ rude ∧ ugliest ⇒ cooperative” because missing: jittery.
calm ∧ rude ∧ broad-minded ⇒ silly
Cannot apply rule “silly ∧ strange ∧ jittery ⇒ cooperative” because missing: strange, jittery.
Cannot apply rule “quaint ∧ strange ⇒ cooperative” because missing: strange.
| 0 | 4 |
Facts: Batman is spotless [PERIOD] Batman is blushing [PERIOD] Batman is agreeable [PERIOD] Batman is elated [PERIOD]
Rules:
outstanding [AND] elated [IMPLY] excited [PERIOD]
anxious [AND] bad-tempered [AND] talented [IMPLY] agreeable [PERIOD]
thoughtful [IMPLY] excited [PERIOD]
sleepy [AND] thoughtful [AND] loving [I... | Proof chain:
elated ∧ spotless ⇒ talented
talented ∧ elated ⇒ bad-tempered
elated ∧ spotless ⇒ talented
bad-tempered ∧ talented ⇒ selfish
| 1 | 4 |
Facts: Batman is tired [PERIOD] Batman is muddy [PERIOD]
Rules:
stormy [AND] disobedient [AND] disgusted [IMPLY] gorgeous [PERIOD]
beautiful [AND] gorgeous [IMPLY] sincere [PERIOD]
disobedient [AND] impartial [AND] plain [IMPLY] bored [PERIOD]
disgusted [IMPLY] stormy [PERIOD]
wrong [IMPLY] gorgeous [PERIOD]
weary [AN... | Proof chain:
tired ⇒ bored
bored ⇒ agreeable
agreeable ⇒ beautiful
beautiful ⇒ helpless
| 1 | 4 |
Facts: Batman is naughty [PERIOD] Batman is innocent [PERIOD] Batman is proud [PERIOD]
Rules:
proud [AND] perfect [AND] outrageous [IMPLY] worrisome [PERIOD]
different [IMPLY] vivacious [PERIOD]
excited [AND] combative [IMPLY] famous [PERIOD]
mysterious [AND] innocent [AND] different [IMPLY] quaint [PERIOD]
combative ... | Proof chain:
innocent ⇒ beautiful
innocent ⇒ different
beautiful ∧ different ⇒ wandering
wandering ⇒ excited
| 1 | 4 |
Facts: Batman is rude [PERIOD] Batman is old-fashioned [PERIOD] Batman is scared [PERIOD] Batman is confident [PERIOD]
Rules:
rude [AND] courageous [IMPLY] sincere [PERIOD]
thoughtful [IMPLY] rude [PERIOD]
wide-eyed [AND] scared [AND] impartial [IMPLY] tired [PERIOD]
sincere [AND] lonely [AND] beautiful [IMPLY] straig... | Proof chain:
Cannot apply rule “beautiful ∧ tired ⇒ wide-eyed” because missing: beautiful, tired.
Cannot apply rule “powerful ∧ courageous ⇒ wide-eyed” because missing: powerful, courageous.
old-fashioned ⇒ lonely
Cannot apply rule “beautiful ∧ confident ∧ lonely ⇒ wide-eyed” because missing: beautiful.
| 0 | 4 |
Facts:
Rules:
witty [AND] old-fashioned [IMPLY] quaint [PERIOD]
curious [AND] proud [IMPLY] elated [PERIOD]
aggressive [AND] versatile [AND] light [IMPLY] gleaming [PERIOD]
hypocritical [AND] light [IMPLY] quaint [PERIOD]
outrageous [AND] clean [AND] elated [IMPLY] gleaming [PERIOD]
elated [AND] proud [IMPLY] exuberan... | Proof chain:
Cannot apply rule “curious ∧ proud ⇒ elated” because missing: curious, proud.
Cannot apply rule “exuberant ⇒ elated” because missing: exuberant.
Cannot apply rule “outrageous ∧ zealous ∧ curious ⇒ elated” because missing: outrageous, zealous, curious.
Cannot apply rule “exuberant ∧ proud ∧ aggr... | 0 | 4 |
Facts:
Rules:
homely [IMPLY] disobedient [PERIOD]
lucky [AND] hilarious [AND] homely [IMPLY] amused [PERIOD]
hilarious [AND] long [IMPLY] stupid [PERIOD]
lucky [AND] good [IMPLY] stupid [PERIOD]
hilarious [AND] amused [IMPLY] lucky [PERIOD]
good [AND] lucky [AND] homely [IMPLY] stupid [PERIOD]
stupid [IMPLY] good [PER... | Proof chain:
Cannot apply rule “hilarious ∧ amused ⇒ lucky” because missing: hilarious, amused.
Cannot apply rule “good ∧ stupid ⇒ lucky” because missing: good, stupid.
Cannot apply rule “long ∧ homely ∧ stupid ⇒ lucky” because missing: long, homely, stupid.
Cannot apply rule “long ∧ hilarious ⇒ lucky” beca... | 0 | 4 |
Facts: Batman is disobedient [PERIOD] Batman is blushing [PERIOD] Batman is impartial [PERIOD] Batman is famous [PERIOD]
Rules:
innocent [IMPLY] disobedient [PERIOD]
disgusted [IMPLY] talkative [PERIOD]
reserved [AND] tired [AND] helpless [IMPLY] impartial [PERIOD]
frail [IMPLY] powerful [PERIOD]
pleasant [AND] stormy... | Proof chain:
famous ⇒ silly
silly ⇒ pleasant
pleasant ⇒ frail
frail ⇒ gorgeous
| 1 | 4 |
Facts: Batman is spotless [PERIOD] Batman is gorgeous [PERIOD] Batman is impatient [PERIOD] Batman is crowded [PERIOD] Batman is calm [PERIOD] Batman is exuberant [PERIOD]
Rules:
strange [AND] clean [IMPLY] impatient [PERIOD]
worrisome [AND] strange [IMPLY] exuberant [PERIOD]
impatient [AND] gorgeous [AND] serious [IM... | Proof chain:
gorgeous ∧ calm ⇒ difficult
calm ∧ crowded ⇒ worrisome
difficult ∧ spotless ∧ worrisome ⇒ busy
busy ⇒ tame
| 1 | 4 |
Facts: Batman is fearless [PERIOD] Batman is popular [PERIOD] Batman is difficult [PERIOD] Batman is sensible [PERIOD] Batman is wandering [PERIOD]
Rules:
attentive [AND] scared [AND] vivacious [IMPLY] cute [PERIOD]
difficult [AND] attentive [IMPLY] vivacious [PERIOD]
pessimistic [AND] homely [IMPLY] hurt [PERIOD]
wor... | Proof chain:
sensible ⇒ elated
sensible ⇒ elated
sensible ∧ elated ∧ popular ⇒ cute
elated ∧ cute ⇒ homely
| 1 | 4 |
Facts: Batman is fine [PERIOD] Batman is disgusted [PERIOD] Batman is exuberant [PERIOD] Batman is broad-minded [PERIOD]
Rules:
broad-minded [AND] glamorous [IMPLY] confident [PERIOD]
broad-minded [AND] frantic [AND] confident [IMPLY] outstanding [PERIOD]
disgusted [AND] powerful [IMPLY] curious [PERIOD]
confident [IM... | Proof chain:
fine ⇒ confident
fine ⇒ confident
confident ⇒ agreeable
confident ∧ agreeable ⇒ outstanding
| 1 | 4 |
Facts: Batman is tense [PERIOD] Batman is gorgeous [PERIOD] Batman is precious [PERIOD] Batman is talkative [PERIOD] Batman is modern [PERIOD] Batman is spotless [PERIOD] Batman is tender [PERIOD] Batman is disobedient [PERIOD]
Rules:
wrong [AND] inquisitive [IMPLY] precious [PERIOD]
wrong [AND] amused [AND] silly [IM... | Proof chain:
modern ⇒ inquisitive
tender ⇒ proud
gorgeous ∧ proud ∧ modern ⇒ wrong
inquisitive ∧ wrong ⇒ silly
| 1 | 4 |
Facts:
Rules:
dull [AND] talented [AND] hypocritical [IMPLY] joyous [PERIOD]
perfect [AND] dull [AND] smart [IMPLY] pleasant [PERIOD]
talented [AND] frail [AND] hypocritical [IMPLY] old-fashioned [PERIOD]
frail [AND] victorious [AND] joyous [IMPLY] impatient [PERIOD]
thoughtful [IMPLY] old-fashioned [PERIOD]
pleasant ... | Proof chain:
Cannot apply rule “perfect ⇒ frail” because missing: perfect.
Cannot apply rule “thoughtful ∧ joyous ∧ outrageous ⇒ frail” because missing: thoughtful, joyous, outrageous.
Cannot apply rule “precious ∧ pleasant ∧ impatient ⇒ frail” because missing: precious, pleasant, impatient.
Cannot apply ru... | 0 | 4 |
Facts: Batman is messy [PERIOD] Batman is loving [PERIOD] Batman is mysterious [PERIOD] Batman is vivacious [PERIOD]
Rules:
rational [IMPLY] crowded [PERIOD]
embarrassed [AND] messy [AND] impartial [IMPLY] confident [PERIOD]
embarrassed [IMPLY] confused [PERIOD]
anxious [AND] vivacious [IMPLY] excited [PERIOD]
popular... | Proof chain:
vivacious ∧ loving ⇒ popular
popular ⇒ uptight
messy ∧ uptight ⇒ anxious
anxious ⇒ exuberant
| 1 | 4 |
Facts: Batman is impatient [PERIOD]
Rules:
witty [AND] shy [AND] cooperative [IMPLY] gleaming [PERIOD]
cooperative [AND] grumpy [AND] uptight [IMPLY] fearless [PERIOD]
shy [IMPLY] gleaming [PERIOD]
uptight [AND] grumpy [AND] impatient [IMPLY] shy [PERIOD]
good [AND] shy [IMPLY] cooperative [PERIOD]
impatient [AND] upt... | Proof chain:
impatient ⇒ homely
homely ⇒ uptight
impatient ∧ uptight ⇒ witty
witty ⇒ grumpy
| 1 | 4 |
Facts:
Rules:
mean [AND] outstanding [IMPLY] difficult [PERIOD]
inquisitive [AND] outstanding [AND] mean [IMPLY] combative [PERIOD]
friendly [IMPLY] precious [PERIOD]
outstanding [AND] silly [AND] precious [IMPLY] friendly [PERIOD]
friendly [AND] outstanding [IMPLY] combative [PERIOD]
outstanding [AND] proud [IMPLY] f... | Proof chain:
Cannot apply rule “precious ∧ outstanding ⇒ inquisitive” because missing: precious, outstanding.
Cannot apply rule “mean ∧ friendly ⇒ inquisitive” because missing: mean, friendly.
Cannot apply rule “silly ∧ outstanding ⇒ inquisitive” because missing: silly, outstanding.
Cannot apply rule “preci... | 0 | 4 |
Facts: Batman is inexpensive [PERIOD] Batman is supportive [PERIOD] Batman is wrong [PERIOD] Batman is troubled [PERIOD]
Rules:
glamorous [AND] tame [IMPLY] supportive [PERIOD]
troubled [AND] supportive [IMPLY] outstanding [PERIOD]
troubled [IMPLY] outstanding [PERIOD]
outstanding [AND] different [AND] wrong [IMPLY] s... | Proof chain:
troubled ∧ supportive ⇒ outstanding
outstanding ⇒ different
troubled ∧ supportive ⇒ outstanding
different ∧ supportive ∧ outstanding ⇒ tame
| 1 | 4 |
Facts: Batman is proud [PERIOD]
Rules:
wrong [AND] pessimistic [IMPLY] glamorous [PERIOD]
ugliest [AND] silly [AND] hurt [IMPLY] long [PERIOD]
bad-tempered [AND] stormy [IMPLY] confident [PERIOD]
careless [AND] shy [AND] famous [IMPLY] glamorous [PERIOD]
ugliest [IMPLY] sleepy [PERIOD]
crowded [AND] bad-tempered [AND]... | Proof chain:
Cannot apply rule “wrong ∧ pessimistic ⇒ glamorous” because missing: wrong, pessimistic.
Cannot apply rule “careless ∧ shy ∧ famous ⇒ glamorous” because missing: careless, shy, famous.
Cannot apply rule “curious ∧ ugliest ∧ confident ⇒ glamorous” because missing: curious, ugliest, confident.
Ca... | 0 | 4 |
Facts: Batman is vivacious [PERIOD] Batman is serious [PERIOD] Batman is tidy [PERIOD]
Rules:
serious [IMPLY] tidy [PERIOD]
amused [IMPLY] stupid [PERIOD]
curious [AND] bored [AND] stupid [IMPLY] zealous [PERIOD]
amused [AND] glamorous [AND] long [IMPLY] dull [PERIOD]
amused [AND] broad-minded [AND] helpful [IMPLY] ti... | Proof chain:
tidy ⇒ amused
tidy ⇒ stupid
amused ∧ stupid ⇒ long
long ⇒ glamorous
| 1 | 4 |
Facts: Batman is disgusted [PERIOD] Batman is charming [PERIOD] Batman is stubborn [PERIOD] Batman is friendly [PERIOD]
Rules:
alert [IMPLY] nervous [PERIOD]
blushing [AND] nervous [IMPLY] charming [PERIOD]
agreeable [AND] attentive [AND] vivacious [IMPLY] tame [PERIOD]
clean [IMPLY] bossy [PERIOD]
attentive [AND] viv... | Proof chain:
friendly ⇒ tame
tame ∧ friendly ⇒ weary
weary ⇒ modern
modern ⇒ clumsy
| 1 | 4 |
Facts: Batman is charming [PERIOD] Batman is ugliest [PERIOD] Batman is impatient [PERIOD] Batman is careless [PERIOD]
Rules:
elegant [IMPLY] reserved [PERIOD]
weary [AND] reserved [AND] unpleasant [IMPLY] strange [PERIOD]
light [AND] frantic [AND] unpleasant [IMPLY] charming [PERIOD]
bad-tempered [IMPLY] outstanding ... | Proof chain:
Cannot apply rule “uptight ∧ ugliest ⇒ broad-minded” because missing: uptight.
Cannot apply rule “outstanding ⇒ broad-minded” because missing: outstanding.
Cannot apply rule “uptight ⇒ broad-minded” because missing: uptight.
Cannot apply rule “outstanding ∧ strange ⇒ broad-minded” because missi... | 0 | 4 |
Facts: Batman is intellectual [PERIOD] Batman is gifted [PERIOD]
Rules:
intellectual [AND] wandering [AND] talkative [IMPLY] old-fashioned [PERIOD]
wandering [IMPLY] light [PERIOD]
wandering [AND] talkative [IMPLY] intellectual [PERIOD]
gifted [IMPLY] light [PERIOD]
intellectual [AND] old-fashioned [IMPLY] careless [P... | Proof chain:
gifted ⇒ light
light ⇒ blushing
blushing ⇒ impartial
impartial ⇒ wide-eyed
| 1 | 4 |
Facts: Batman is amused [PERIOD] Batman is rude [PERIOD] Batman is worrisome [PERIOD] Batman is diplomatic [PERIOD] Batman is gorgeous [PERIOD] Batman is thoughtful [PERIOD] Batman is victorious [PERIOD]
Rules:
diplomatic [AND] thoughtful [IMPLY] easy [PERIOD]
reserved [IMPLY] wide-eyed [PERIOD]
diplomatic [AND] versa... | Proof chain:
gorgeous ⇒ vivacious
thoughtful ∧ vivacious ⇒ silly
gorgeous ⇒ reserved
silly ∧ reserved ⇒ versatile
| 1 | 4 |
Facts:
Rules:
ugliest [AND] elated [AND] powerful [IMPLY] joyous [PERIOD]
weary [AND] grumpy [IMPLY] gifted [PERIOD]
messy [AND] elated [AND] powerful [IMPLY] broad-minded [PERIOD]
strange [AND] enchanting [IMPLY] ugliest [PERIOD]
grumpy [IMPLY] ugliest [PERIOD]
messy [AND] gifted [IMPLY] powerful [PERIOD]
elated [IMP... | Proof chain:
Cannot apply rule “elated ⇒ smart” because missing: elated.
Cannot apply rule “different ⇒ smart” because missing: different.
Cannot apply rule “enchanting ∧ ugly ⇒ smart” because missing: enchanting, ugly.
Cannot apply rule “stupid ∧ grumpy ∧ strange ⇒ smart” because missing: stupid, grumpy, s... | 0 | 4 |
Facts:
Rules:
clumsy [AND] mysterious [IMPLY] famous [PERIOD]
lucky [IMPLY] condemned [PERIOD]
famous [AND] stormy [IMPLY] worrisome [PERIOD]
mysterious [AND] ugliest [IMPLY] stormy [PERIOD]
lucky [AND] worrisome [IMPLY] pessimistic [PERIOD]
condemned [AND] stormy [IMPLY] ugliest [PERIOD]
cute [AND] famous [AND] myste... | Proof chain:
Cannot apply rule “mysterious ∧ ugliest ⇒ stormy” because missing: mysterious, ugliest.
Cannot apply rule “ugliest ⇒ stormy” because missing: ugliest.
Cannot apply rule “cute ⇒ stormy” because missing: cute.
Cannot apply rule “pessimistic ∧ worrisome ⇒ stormy” because missing: pessimistic, worr... | 0 | 4 |
Facts: Batman is hilarious [PERIOD] Batman is cute [PERIOD] Batman is alert [PERIOD] Batman is messy [PERIOD] Batman is zealous [PERIOD] Batman is crowded [PERIOD] Batman is confused [PERIOD] Batman is clean [PERIOD]
Rules:
tense [AND] hilarious [IMPLY] messy [PERIOD]
shiny [AND] zealous [IMPLY] clean [PERIOD]
pleasan... | Proof chain:
confused ⇒ sensible
cute ∧ confused ⇒ pleasant
zealous ⇒ homely
sensible ∧ pleasant ∧ homely ⇒ elegant
| 1 | 4 |
Facts: Batman is outstanding [PERIOD]
Rules:
tired [AND] polite [AND] outstanding [IMPLY] sincere [PERIOD]
tired [AND] outstanding [IMPLY] sincere [PERIOD]
stubborn [IMPLY] sincere [PERIOD]
stubborn [IMPLY] tired [PERIOD]
tired [AND] polite [AND] outstanding [IMPLY] stubborn [PERIOD]
outstanding [AND] stubborn [IMPLY]... | Proof chain:
Cannot apply rule “tired ∧ polite ∧ outstanding ⇒ sincere” because missing: tired, polite.
Cannot apply rule “tired ∧ outstanding ⇒ sincere” because missing: tired.
Cannot apply rule “stubborn ⇒ sincere” because missing: stubborn.
Cannot apply rule “outstanding ∧ stubborn ⇒ sincere” because mis... | 0 | 4 |
Facts: Batman is intellectual [PERIOD] Batman is versatile [PERIOD]
Rules:
alert [IMPLY] inexpensive [PERIOD]
unpleasant [IMPLY] innocent [PERIOD]
zealous [AND] comfortable [IMPLY] innocent [PERIOD]
supportive [AND] zealous [IMPLY] comfortable [PERIOD]
zealous [AND] excited [AND] comfortable [IMPLY] inexpensive [PERIO... | Proof chain:
versatile ⇒ charming
intellectual ⇒ wide-eyed
wide-eyed ∧ versatile ⇒ innocent
charming ∧ intellectual ∧ innocent ⇒ supportive
| 1 | 4 |
Facts: Batman is mean [PERIOD] Batman is thoughtless [PERIOD] Batman is victorious [PERIOD]
Rules:
victorious [AND] friendly [AND] fragile [IMPLY] popular [PERIOD]
confident [AND] fragile [AND] plain [IMPLY] friendly [PERIOD]
ambitious [AND] confident [IMPLY] victorious [PERIOD]
talented [AND] cute [AND] friendly [IMP... | Proof chain:
mean ⇒ fancy
mean ⇒ confident
confident ⇒ wrong
Cannot apply rule “fancy ∧ wrong ∧ courageous ⇒ famous” because missing: courageous.
| 0 | 4 |
Facts:
Rules:
ambitious [AND] pessimistic [IMPLY] troubled [PERIOD]
blushing [AND] ambitious [IMPLY] helpless [PERIOD]
calm [AND] stubborn [AND] pessimistic [IMPLY] bright [PERIOD]
blushing [IMPLY] anxious [PERIOD]
stubborn [IMPLY] bright [PERIOD]
stubborn [AND] blushing [IMPLY] bright [PERIOD]
troubled [AND] ambitiou... | Proof chain:
Cannot apply rule “ambitious ∧ pessimistic ⇒ troubled” because missing: ambitious, pessimistic.
Cannot apply rule “ambitious ∧ stubborn ∧ pessimistic ⇒ troubled” because missing: ambitious, stubborn, pessimistic.
Cannot apply rule “blushing ∧ calm ⇒ troubled” because missing: blushing, calm.
Ca... | 0 | 4 |
Facts:
Rules:
alert [IMPLY] condemned [PERIOD]
quaint [AND] attractive [AND] famous [IMPLY] exuberant [PERIOD]
disgusted [AND] enchanting [IMPLY] powerful [PERIOD]
fearless [AND] impartial [IMPLY] alert [PERIOD]
fearless [AND] quaint [AND] condemned [IMPLY] enchanting [PERIOD]
curious [IMPLY] attractive [PERIOD]
famou... | Proof chain:
Cannot apply rule “fearless ∧ quaint ∧ condemned ⇒ enchanting” because missing: fearless, quaint, condemned.
Cannot apply rule “fearless ∧ uptight ⇒ enchanting” because missing: fearless, uptight.
Cannot apply rule “mean ∧ exuberant ⇒ enchanting” because missing: mean, exuberant.
Cannot apply r... | 0 | 4 |
Facts: Batman is confused [PERIOD] Batman is spotless [PERIOD] Batman is tired [PERIOD]
Rules:
homely [IMPLY] stupid [PERIOD]
condemned [AND] stormy [IMPLY] serious [PERIOD]
frail [AND] clean [IMPLY] serious [PERIOD]
bright [AND] spotless [IMPLY] friendly [PERIOD]
outrageous [AND] zealous [IMPLY] frail [PERIOD]
inquis... | Proof chain:
tired ⇒ inquisitive
inquisitive ∧ tired ⇒ smart
smart ⇒ condemned
condemned ⇒ innocent
| 1 | 4 |
Facts: Batman is cruel [PERIOD] Batman is dishonest [PERIOD] Batman is jittery [PERIOD] Batman is worried [PERIOD] Batman is victorious [PERIOD] Batman is popular [PERIOD] Batman is perfect [PERIOD]
Rules:
attractive [IMPLY] fragile [PERIOD]
tender [IMPLY] victorious [PERIOD]
inexpensive [AND] popular [AND] selfish [I... | Proof chain:
victorious ⇒ condemned
condemned ⇒ frail
frail ∧ jittery ∧ dishonest ⇒ aggressive
aggressive ∧ cruel ∧ victorious ⇒ different
| 1 | 4 |
Facts:
Rules:
anxious [IMPLY] muddy [PERIOD]
anxious [IMPLY] proud [PERIOD]
amused [AND] proud [IMPLY] embarrassed [PERIOD]
amused [IMPLY] victorious [PERIOD]
muddy [IMPLY] embarrassed [PERIOD]
tender [AND] victorious [AND] embarrassed [IMPLY] bored [PERIOD]
victorious [AND] proud [AND] anxious [IMPLY] embarrassed [PE... | Proof chain:
Cannot apply rule “amused ∧ proud ⇒ embarrassed” because missing: amused, proud.
Cannot apply rule “muddy ⇒ embarrassed” because missing: muddy.
Cannot apply rule “victorious ∧ proud ∧ anxious ⇒ embarrassed” because missing: victorious, proud, anxious.
Cannot apply rule “bored ∧ proud ∧ victori... | 0 | 4 |
Facts: Batman is polite [PERIOD] Batman is tidy [PERIOD]
Rules:
polite [AND] homely [IMPLY] tired [PERIOD]
frail [AND] nervous [AND] popular [IMPLY] lonely [PERIOD]
popular [AND] witty [AND] tidy [IMPLY] uptight [PERIOD]
lonely [AND] homely [AND] tidy [IMPLY] old-fashioned [PERIOD]
fine [IMPLY] lonely [PERIOD]
talente... | Proof chain:
tidy ⇒ friendly
friendly ⇒ uptight
uptight ⇒ wrong
wrong ⇒ nervous
| 1 | 4 |
Facts:
Rules:
powerful [AND] enchanting [AND] tidy [IMPLY] anxious [PERIOD]
enchanting [AND] anxious [AND] frantic [IMPLY] average [PERIOD]
powerful [AND] frantic [AND] anxious [IMPLY] enchanting [PERIOD]
powerful [AND] average [IMPLY] tidy [PERIOD]
powerful [IMPLY] tidy [PERIOD]
anxious [IMPLY] frantic [PERIOD]
avera... | Proof chain:
Cannot apply rule “enchanting ∧ anxious ∧ frantic ⇒ average” because missing: enchanting, anxious, frantic.
Cannot apply rule “tidy ∧ powerful ∧ anxious ⇒ average” because missing: tidy, powerful, anxious.
Cannot apply rule “anxious ∧ tidy ∧ enchanting ⇒ average” because missing: anxious, tidy, en... | 0 | 4 |
Facts:
Rules:
grumpy [AND] crowded [IMPLY] confused [PERIOD]
confused [AND] hilarious [AND] stubborn [IMPLY] wandering [PERIOD]
crowded [AND] intellectual [AND] easy [IMPLY] comfortable [PERIOD]
attentive [IMPLY] comfortable [PERIOD]
lucky [AND] inexpensive [AND] long [IMPLY] intellectual [PERIOD]
sincere [AND] straig... | Proof chain:
Cannot apply rule “straightforward ⇒ hilarious” because missing: straightforward.
Cannot apply rule “intellectual ∧ vivacious ∧ stubborn ⇒ hilarious” because missing: intellectual, vivacious, stubborn.
Cannot apply rule “sincere ⇒ hilarious” because missing: sincere.
Cannot apply rule “smart ∧ ... | 0 | 4 |
Facts: Batman is horrible [PERIOD]
Rules:
horrible [AND] comfortable [AND] innocent [IMPLY] embarrassed [PERIOD]
embarrassed [IMPLY] comfortable [PERIOD]
hurt [IMPLY] excited [PERIOD]
horrible [AND] innocent [AND] straightforward [IMPLY] mean [PERIOD]
excited [IMPLY] comfortable [PERIOD]
horrible [IMPLY] embarrassed [... | Proof chain:
horrible ⇒ embarrassed
embarrassed ⇒ comfortable
comfortable ⇒ hurt
hurt ⇒ excited
| 1 | 4 |
Facts: Batman is rational [PERIOD] Batman is gleaming [PERIOD] Batman is inexpensive [PERIOD] Batman is beautiful [PERIOD] Batman is tame [PERIOD] Batman is elated [PERIOD]
Rules:
beautiful [AND] rational [IMPLY] mean [PERIOD]
grumpy [AND] innocent [IMPLY] lonely [PERIOD]
adorable [IMPLY] fancy [PERIOD]
tame [AND] rat... | Proof chain:
elated ⇒ adorable
adorable ⇒ fancy
elated ⇒ adorable
fancy ∧ adorable ⇒ lonely
| 1 | 4 |
Facts: Batman is quaint [PERIOD] Batman is long [PERIOD] Batman is talkative [PERIOD] Batman is helpless [PERIOD] Batman is frightened [PERIOD] Batman is enchanting [PERIOD] Batman is dull [PERIOD]
Rules:
talkative [AND] bad-tempered [IMPLY] light [PERIOD]
weary [AND] quaint [IMPLY] stubborn [PERIOD]
lonely [AND] witt... | Proof chain:
long ⇒ joyous
helpless ∧ talkative ∧ long ⇒ lonely
long ∧ lonely ∧ dull ⇒ bad-tempered
joyous ∧ bad-tempered ⇒ intellectual
| 1 | 4 |
Facts: Batman is comfortable [PERIOD] Batman is wide-eyed [PERIOD]
Rules:
wide-eyed [AND] stormy [AND] good [IMPLY] weary [PERIOD]
wide-eyed [IMPLY] inquisitive [PERIOD]
elated [AND] naughty [IMPLY] grumpy [PERIOD]
tense [AND] hilarious [AND] frail [IMPLY] quaint [PERIOD]
frail [IMPLY] quaint [PERIOD]
broad-minded [IM... | Proof chain:
wide-eyed ⇒ inquisitive
inquisitive ⇒ broad-minded
broad-minded ⇒ elated
elated ⇒ stormy
| 1 | 4 |
Facts: Batman is victorious [PERIOD] Batman is attentive [PERIOD] Batman is gleaming [PERIOD]
Rules:
innocent [AND] long [IMPLY] stupid [PERIOD]
strange [AND] condemned [IMPLY] thoughtless [PERIOD]
foolish [AND] innocent [IMPLY] bossy [PERIOD]
long [AND] impatient [AND] gleaming [IMPLY] attentive [PERIOD]
tame [AND] h... | Proof chain:
attentive ⇒ hurt
attentive ⇒ stubborn
hurt ∧ stubborn ⇒ friendly
friendly ⇒ serious
| 1 | 4 |
Facts: Batman is reserved [PERIOD] Batman is long [PERIOD] Batman is fine [PERIOD] Batman is shiny [PERIOD] Batman is joyous [PERIOD] Batman is tame [PERIOD]
Rules:
modern [AND] versatile [AND] victorious [IMPLY] comfortable [PERIOD]
joyous [AND] silly [AND] witty [IMPLY] confused [PERIOD]
comfortable [AND] horrible [... | Proof chain:
reserved ⇒ victorious
victorious ⇒ vivacious
long ⇒ comfortable
vivacious ∧ comfortable ⇒ zealous
| 1 | 4 |
Facts: Batman is long [PERIOD] Batman is stubborn [PERIOD] Batman is witty [PERIOD]
Rules:
average [IMPLY] witty [PERIOD]
elegant [IMPLY] quaint [PERIOD]
long [IMPLY] crowded [PERIOD]
charming [AND] witty [AND] different [IMPLY] long [PERIOD]
distinct [AND] busy [IMPLY] naughty [PERIOD]
busy [AND] worried [AND] witty ... | Proof chain:
long ⇒ crowded
crowded ⇒ charming
long ⇒ crowded
charming ∧ crowded ⇒ different
| 1 | 4 |
Facts: Batman is cooperative [PERIOD] Batman is light [PERIOD] Batman is mean [PERIOD] Batman is hypocritical [PERIOD] Batman is thoughtful [PERIOD] Batman is foolish [PERIOD]
Rules:
tired [IMPLY] confused [PERIOD]
uptight [IMPLY] elegant [PERIOD]
naughty [AND] zealous [AND] uptight [IMPLY] disobedient [PERIOD]
foolis... | Proof chain:
Cannot apply rule “naughty ∧ zealous ∧ uptight ⇒ disobedient” because missing: naughty, zealous, uptight.
Cannot apply rule “cooperative ∧ pessimistic ⇒ disobedient” because missing: pessimistic.
Cannot apply rule “foolish ∧ adorable ∧ calm ⇒ disobedient” because missing: adorable, calm.
Cannot... | 0 | 4 |
Facts: Batman is different [PERIOD] Batman is wide-eyed [PERIOD] Batman is fearless [PERIOD] Batman is versatile [PERIOD] Batman is good [PERIOD] Batman is sensible [PERIOD]
Rules:
fearless [AND] long [AND] wide-eyed [IMPLY] perfect [PERIOD]
confident [IMPLY] exuberant [PERIOD]
fearless [IMPLY] clumsy [PERIOD]
homely ... | Proof chain:
fearless ⇒ clumsy
clumsy ∧ different ⇒ enchanting
good ∧ enchanting ⇒ victorious
different ∧ victorious ⇒ lucky
| 1 | 4 |
Facts: Batman is bad-tempered [PERIOD]
Rules:
frantic [AND] confused [AND] ugly [IMPLY] rational [PERIOD]
frantic [IMPLY] rational [PERIOD]
clean [IMPLY] ugly [PERIOD]
clean [AND] bad-tempered [AND] frantic [IMPLY] rational [PERIOD]
ugly [AND] clean [AND] bad-tempered [IMPLY] frantic [PERIOD]
rational [AND] frantic [A... | Proof chain:
bad-tempered ⇒ confused
bad-tempered ⇒ frantic
frantic ⇒ rational
bad-tempered ∧ confused ∧ rational ⇒ clean
| 1 | 4 |
Facts: Batman is tidy [PERIOD] Batman is amused [PERIOD] Batman is outrageous [PERIOD] Batman is good [PERIOD] Batman is charming [PERIOD] Batman is hypocritical [PERIOD] Batman is thoughtless [PERIOD] Batman is elated [PERIOD]
Rules:
popular [AND] polite [AND] charming [IMPLY] modern [PERIOD]
impatient [AND] thoughtl... | Proof chain:
thoughtless ⇒ impatient
hypocritical ⇒ popular
impatient ∧ outrageous ∧ popular ⇒ grumpy
tidy ∧ outrageous ∧ grumpy ⇒ modern
| 1 | 4 |
Facts: Batman is inexpensive [PERIOD] Batman is friendly [PERIOD] Batman is exuberant [PERIOD] Batman is zealous [PERIOD] Batman is bored [PERIOD]
Rules:
calm [AND] embarrassed [IMPLY] mysterious [PERIOD]
serious [AND] impartial [AND] dull [IMPLY] pessimistic [PERIOD]
pessimistic [IMPLY] inexpensive [PERIOD]
distinct ... | Proof chain:
exuberant ⇒ mysterious
mysterious ⇒ bossy
inexpensive ∧ friendly ∧ zealous ⇒ distinct
bossy ∧ distinct ⇒ silly
| 1 | 4 |
Facts: Batman is sincere [PERIOD]
Rules:
mean [AND] foolish [AND] broad-minded [IMPLY] shiny [PERIOD]
pleasant [IMPLY] joyous [PERIOD]
mean [IMPLY] beautiful [PERIOD]
foolish [AND] sincere [IMPLY] mean [PERIOD]
thoughtful [AND] tame [AND] broad-minded [IMPLY] shiny [PERIOD]
aggressive [AND] pleasant [AND] tame [IMPLY]... | Proof chain:
Cannot apply rule “foolish ∧ pleasant ∧ joyous ⇒ condemned” because missing: foolish, pleasant, joyous.
Cannot apply rule “joyous ∧ tame ⇒ condemned” because missing: joyous, tame.
Cannot apply rule “sincere ∧ tame ⇒ condemned” because missing: tame.
Cannot apply rule “sincere ∧ beautiful ∧ tam... | 0 | 4 |
Facts:
Rules:
bossy [AND] different [IMPLY] dull [PERIOD]
mysterious [AND] straightforward [AND] different [IMPLY] impartial [PERIOD]
dull [IMPLY] bossy [PERIOD]
confused [AND] straightforward [IMPLY] frightened [PERIOD]
zealous [IMPLY] straightforward [PERIOD]
mysterious [AND] frightened [IMPLY] zealous [PERIOD]
myst... | Proof chain:
Cannot apply rule “bossy ∧ different ⇒ dull” because missing: bossy, different.
Cannot apply rule “mysterious ∧ straightforward ∧ confused ⇒ dull” because missing: mysterious, straightforward, confused.
Cannot apply rule “elegant ∧ confused ⇒ dull” because missing: elegant, confused.
Cannot app... | 0 | 4 |
Facts: Batman is charming [PERIOD] Batman is muddy [PERIOD] Batman is vivacious [PERIOD] Batman is serious [PERIOD] Batman is frantic [PERIOD]
Rules:
serious [AND] naughty [AND] perfect [IMPLY] uptight [PERIOD]
popular [IMPLY] inquisitive [PERIOD]
muddy [AND] serious [AND] naughty [IMPLY] attractive [PERIOD]
stubborn ... | Proof chain:
charming ⇒ inquisitive
frantic ∧ inquisitive ∧ serious ⇒ popular
frantic ⇒ cute
popular ∧ cute ∧ frantic ⇒ uptight
| 1 | 4 |
Facts: Batman is long [PERIOD] Batman is inexpensive [PERIOD] Batman is selfish [PERIOD] Batman is hypocritical [PERIOD]
Rules:
good [AND] tired [AND] nervous [IMPLY] adorable [PERIOD]
tired [AND] friendly [AND] nervous [IMPLY] aggressive [PERIOD]
friendly [AND] rational [IMPLY] old-fashioned [PERIOD]
modern [AND] fri... | Proof chain:
selfish ⇒ rational
inexpensive ∧ long ⇒ modern
rational ∧ modern ⇒ stubborn
long ∧ stubborn ⇒ aggressive
| 1 | 4 |
Facts: Batman is blushing [PERIOD]
Rules:
frail [AND] proud [AND] impartial [IMPLY] silly [PERIOD]
proud [IMPLY] frail [PERIOD]
beautiful [AND] blushing [IMPLY] stupid [PERIOD]
impartial [AND] frail [IMPLY] stupid [PERIOD]
impartial [AND] proud [AND] blushing [IMPLY] stupid [PERIOD]
stupid [AND] blushing [IMPLY] impar... | Proof chain:
Cannot apply rule “stupid ⇒ proud” because missing: stupid.
Cannot apply rule “impartial ∧ blushing ∧ stupid ⇒ proud” because missing: impartial, stupid.
Cannot apply rule “blushing ∧ impartial ⇒ proud” because missing: impartial.
Cannot apply rule “blushing ∧ beautiful ∧ silly ⇒ proud” because... | 0 | 4 |
Facts: Batman is elated [PERIOD]
Rules:
light [IMPLY] elated [PERIOD]
inexpensive [AND] adorable [AND] loving [IMPLY] worried [PERIOD]
vivacious [IMPLY] attentive [PERIOD]
loving [AND] adorable [IMPLY] elated [PERIOD]
enchanting [IMPLY] cruel [PERIOD]
cute [AND] clumsy [AND] wrong [IMPLY] bad-tempered [PERIOD]
enchant... | Proof chain:
Cannot apply rule “bad-tempered ⇒ aggressive” because missing: bad-tempered.
elated ⇒ vivacious
Cannot apply rule “calm ∧ vivacious ⇒ aggressive” because missing: calm.
Cannot apply rule “calm ∧ inexpensive ∧ witty ⇒ aggressive” because missing: calm, inexpensive, witty.
| 0 | 4 |
Facts: Batman is confident [PERIOD] Batman is lonely [PERIOD] Batman is glamorous [PERIOD] Batman is hurt [PERIOD] Batman is spotless [PERIOD] Batman is sleepy [PERIOD] Batman is hypocritical [PERIOD] Batman is outrageous [PERIOD] Batman is courageous [PERIOD] Batman is calm [PERIOD] Batman is popular [PERIOD] Batman ... | Proof chain:
hypocritical ⇒ proud
proud ∧ ambitious ⇒ broad-minded
hypocritical ⇒ supportive
broad-minded ∧ supportive ⇒ amused
| 1 | 4 |
Facts:
Rules:
popular [IMPLY] famous [PERIOD]
popular [IMPLY] fancy [PERIOD]
good [IMPLY] fancy [PERIOD]
vivacious [AND] worrisome [IMPLY] famous [PERIOD]
frightened [AND] ugliest [IMPLY] vivacious [PERIOD]
popular [IMPLY] vivacious [PERIOD]
spotless [AND] vivacious [AND] ugliest [IMPLY] good [PERIOD]
frightened [AND]... | Proof chain:
Cannot apply rule “popular ⇒ famous” because missing: popular.
Cannot apply rule “vivacious ∧ worrisome ⇒ famous” because missing: vivacious, worrisome.
Cannot apply rule “worrisome ∧ selfish ∧ good ⇒ famous” because missing: worrisome, selfish, good.
Cannot apply rule “worrisome ⇒ famous” beca... | 0 | 4 |
Facts: Batman is amused [PERIOD] Batman is clumsy [PERIOD] Batman is famous [PERIOD]
Rules:
attractive [IMPLY] stubborn [PERIOD]
clumsy [IMPLY] amused [PERIOD]
famous [IMPLY] inexpensive [PERIOD]
amused [AND] sincere [IMPLY] modern [PERIOD]
combative [AND] attractive [AND] elegant [IMPLY] popular [PERIOD]
scared [AND]... | Proof chain:
Cannot apply rule “ambitious ∧ bossy ∧ amused ⇒ ugly” because missing: ambitious, bossy.
famous ⇒ inexpensive
Cannot apply rule “sincere ∧ ambitious ∧ inexpensive ⇒ ugly” because missing: sincere, ambitious.
Cannot apply rule “scared ⇒ ugly” because missing: scared.
| 0 | 4 |
Facts:
Rules:
fine [AND] impartial [IMPLY] straightforward [PERIOD]
easy [AND] fine [AND] combative [IMPLY] talkative [PERIOD]
crowded [AND] light [IMPLY] glamorous [PERIOD]
elated [IMPLY] light [PERIOD]
confused [AND] talkative [IMPLY] sleepy [PERIOD]
polite [AND] comfortable [IMPLY] sleepy [PERIOD]
combative [AND] p... | Proof chain:
Cannot apply rule “combative ∧ polite ⇒ comfortable” because missing: combative, polite.
Cannot apply rule “fine ∧ easy ∧ straightforward ⇒ comfortable” because missing: fine, easy, straightforward.
Cannot apply rule “fine ∧ crowded ∧ impartial ⇒ comfortable” because missing: fine, crowded, impart... | 0 | 4 |
Facts: Batman is different [PERIOD]
Rules:
blushing [AND] cute [AND] troubled [IMPLY] scared [PERIOD]
cute [IMPLY] talkative [PERIOD]
blushing [AND] outstanding [AND] mysterious [IMPLY] cute [PERIOD]
foolish [AND] alert [AND] messy [IMPLY] long [PERIOD]
foolish [AND] helpless [AND] worrisome [IMPLY] attractive [PERIOD... | Proof chain:
different ⇒ alert
alert ⇒ gleaming
gleaming ⇒ reserved
reserved ⇒ foolish
| 1 | 4 |
Facts: Batman is messy [PERIOD] Batman is silly [PERIOD] Batman is tense [PERIOD] Batman is unpleasant [PERIOD] Batman is smart [PERIOD]
Rules:
difficult [AND] scared [AND] broad-minded [IMPLY] nervous [PERIOD]
silly [IMPLY] scared [PERIOD]
tense [AND] silly [AND] bad-tempered [IMPLY] beautiful [PERIOD]
broad-minded [... | Proof chain:
tense ⇒ clumsy
clumsy ∧ messy ⇒ bad-tempered
unpleasant ⇒ nervous
bad-tempered ∧ nervous ⇒ horrible
| 1 | 4 |
Facts: Batman is old-fashioned [PERIOD] Batman is thoughtful [PERIOD] Batman is distinct [PERIOD] Batman is shiny [PERIOD] Batman is mysterious [PERIOD] Batman is cooperative [PERIOD] Batman is precious [PERIOD] Batman is stormy [PERIOD] Batman is polite [PERIOD]
Rules:
cooperative [AND] precious [AND] polite [IMPLY] ... | Proof chain:
cooperative ∧ precious ∧ polite ⇒ disgusted
cooperative ∧ precious ∧ polite ⇒ disgusted
disgusted ∧ stormy ∧ mysterious ⇒ plain
disgusted ∧ plain ∧ thoughtful ⇒ broad-minded
| 1 | 4 |
Facts: Batman is selfish [PERIOD] Batman is hilarious [PERIOD]
Rules:
hilarious [IMPLY] reserved [PERIOD]
naughty [AND] versatile [IMPLY] proud [PERIOD]
different [AND] fragile [AND] selfish [IMPLY] naughty [PERIOD]
lonely [AND] hilarious [IMPLY] condemned [PERIOD]
worrisome [IMPLY] talented [PERIOD]
lucky [IMPLY] hor... | Proof chain:
selfish ⇒ joyous
Cannot apply rule “lonely ∧ joyous ∧ naughty ⇒ stormy” because missing: lonely, naughty.
Cannot apply rule “lucky ⇒ stormy” because missing: lucky.
Cannot apply rule “talented ⇒ stormy” because missing: talented.
| 0 | 4 |
Facts: Batman is dull [PERIOD] Batman is different [PERIOD] Batman is wrong [PERIOD] Batman is silly [PERIOD] Batman is gifted [PERIOD] Batman is confused [PERIOD] Batman is thoughtful [PERIOD] Batman is troubled [PERIOD]
Rules:
blushing [IMPLY] cooperative [PERIOD]
beautiful [AND] different [AND] troubled [IMPLY] gif... | Proof chain:
different ⇒ spotless
thoughtful ⇒ joyous
wrong ∧ dull ⇒ friendly
spotless ∧ joyous ∧ friendly ⇒ wide-eyed
| 1 | 4 |
Facts: Batman is innocent [PERIOD]
Rules:
innocent [IMPLY] talented [PERIOD]
talented [IMPLY] cute [PERIOD]
innocent [AND] bored [IMPLY] famous [PERIOD]
selfish [AND] talented [AND] excited [IMPLY] innocent [PERIOD]
bored [IMPLY] talented [PERIOD]
cute [AND] talented [IMPLY] selfish [PERIOD]
innocent [AND] talented [I... | Proof chain:
innocent ⇒ excited
excited ⇒ cute
innocent ⇒ excited
cute ∧ excited ∧ innocent ⇒ famous
| 1 | 4 |
Facts: Batman is pleasant [PERIOD] Batman is rude [PERIOD] Batman is tender [PERIOD]
Rules:
outrageous [AND] amused [AND] clean [IMPLY] fragile [PERIOD]
rational [AND] alert [AND] sensible [IMPLY] excited [PERIOD]
alert [IMPLY] curious [PERIOD]
joyous [IMPLY] embarrassed [PERIOD]
pleasant [AND] thoughtless [AND] sensi... | Proof chain:
Cannot apply rule “glamorous ⇒ uptight” because missing: glamorous.
Cannot apply rule “rational ⇒ uptight” because missing: rational.
Cannot apply rule “horrible ∧ pleasant ⇒ uptight” because missing: horrible.
Cannot apply rule “alert ∧ embarrassed ∧ glamorous ⇒ uptight” because missing: alert... | 0 | 4 |
Facts: Batman is witty [PERIOD]
Rules:
confident [IMPLY] scared [PERIOD]
witty [AND] foolish [IMPLY] hilarious [PERIOD]
stubborn [IMPLY] pessimistic [PERIOD]
pessimistic [AND] scared [AND] crowded [IMPLY] pleasant [PERIOD]
crowded [AND] witty [IMPLY] proud [PERIOD]
crowded [IMPLY] dull [PERIOD]
difficult [AND] talkati... | Proof chain:
Cannot apply rule “helpful ∧ proud ⇒ nervous” because missing: helpful, proud.
Cannot apply rule “crowded ∧ difficult ⇒ nervous” because missing: crowded, difficult.
Cannot apply rule “scared ⇒ nervous” because missing: scared.
Cannot apply rule “crowded ⇒ nervous” because missing: crowded.
| 0 | 4 |
Facts: Batman is stubborn [PERIOD] Batman is wrong [PERIOD]
Rules:
talented [AND] spotless [AND] fancy [IMPLY] tender [PERIOD]
talented [IMPLY] stubborn [PERIOD]
talented [AND] dishonest [AND] spotless [IMPLY] wrong [PERIOD]
bored [AND] elated [AND] thoughtful [IMPLY] spotless [PERIOD]
elated [AND] gorgeous [AND] mode... | Proof chain:
wrong ⇒ helpful
helpful ⇒ modern
modern ⇒ talented
talented ⇒ weary
| 1 | 4 |
Facts: Batman is talkative [PERIOD] Batman is strange [PERIOD]
Rules:
troubled [AND] adorable [AND] hypocritical [IMPLY] lucky [PERIOD]
thoughtless [IMPLY] lucky [PERIOD]
difficult [IMPLY] lucky [PERIOD]
talkative [AND] difficult [AND] hypocritical [IMPLY] lucky [PERIOD]
Query: Batman is lucky [PERIOD] | Proof chain:
Cannot apply rule “troubled ∧ adorable ∧ hypocritical ⇒ lucky” because missing: troubled, adorable, hypocritical.
Cannot apply rule “thoughtless ⇒ lucky” because missing: thoughtless.
Cannot apply rule “difficult ⇒ lucky” because missing: difficult.
Cannot apply rule “talkative ∧ difficult ∧ hy... | 0 | 4 |
Facts:
Rules:
beautiful [AND] vivacious [IMPLY] strange [PERIOD]
beautiful [AND] combative [IMPLY] strange [PERIOD]
mean [AND] perfect [IMPLY] vivacious [PERIOD]
beautiful [IMPLY] strange [PERIOD]
vivacious [AND] mean [AND] perfect [IMPLY] beautiful [PERIOD]
helpful [AND] vivacious [IMPLY] beautiful [PERIOD]
vivacious... | Proof chain:
Cannot apply rule “combative ∧ strange ⇒ helpful” because missing: combative, strange.
Cannot apply rule “mean ⇒ helpful” because missing: mean.
Cannot apply rule “beautiful ⇒ helpful” because missing: beautiful.
Cannot apply rule “mean ∧ beautiful ⇒ helpful” because missing: mean, beautiful.
| 0 | 4 |
Facts:
Rules:
wandering [AND] clean [AND] stubborn [IMPLY] friendly [PERIOD]
easy [AND] curious [AND] courageous [IMPLY] stubborn [PERIOD]
courageous [AND] polite [IMPLY] blushing [PERIOD]
outstanding [IMPLY] disgusted [PERIOD]
easy [IMPLY] friendly [PERIOD]
confident [AND] wandering [AND] curious [IMPLY] disgusted [P... | Proof chain:
Cannot apply rule “wandering ∧ clean ∧ stubborn ⇒ friendly” because missing: wandering, clean, stubborn.
Cannot apply rule “easy ⇒ friendly” because missing: easy.
Cannot apply rule “curious ∧ confident ∧ stubborn ⇒ friendly” because missing: curious, confident, stubborn.
Cannot apply rule “blu... | 0 | 4 |
Facts: Batman is bad-tempered [PERIOD] Batman is shy [PERIOD]
Rules:
thoughtful [IMPLY] mysterious [PERIOD]
average [IMPLY] good [PERIOD]
mysterious [AND] witty [IMPLY] pessimistic [PERIOD]
fragile [IMPLY] disgusted [PERIOD]
mean [IMPLY] homely [PERIOD]
wide-eyed [AND] exuberant [AND] beautiful [IMPLY] agreeable [PERI... | Proof chain:
Cannot apply rule “mysterious ∧ witty ⇒ pessimistic” because missing: mysterious, witty.
Cannot apply rule “stupid ∧ zealous ⇒ pessimistic” because missing: stupid, zealous.
Cannot apply rule “zealous ∧ good ⇒ pessimistic” because missing: zealous, good.
Cannot apply rule “fancy ⇒ pessimistic” ... | 0 | 4 |
Facts: Batman is combative [PERIOD] Batman is attentive [PERIOD] Batman is anxious [PERIOD] Batman is proud [PERIOD]
Rules:
adorable [IMPLY] stubborn [PERIOD]
stubborn [IMPLY] adorable [PERIOD]
adorable [AND] straightforward [AND] combative [IMPLY] stupid [PERIOD]
stubborn [IMPLY] hypocritical [PERIOD]
stubborn [AND] ... | Proof chain:
proud ⇒ straightforward
straightforward ∧ combative ⇒ adorable
proud ⇒ straightforward
adorable ∧ straightforward ∧ combative ⇒ stupid
| 1 | 4 |
Facts: Batman is smart [PERIOD]
Rules:
powerful [AND] dishonest [IMPLY] famous [PERIOD]
fancy [AND] dishonest [AND] smart [IMPLY] famous [PERIOD]
ugliest [AND] inquisitive [IMPLY] smart [PERIOD]
worrisome [IMPLY] ugliest [PERIOD]
aggressive [AND] anxious [IMPLY] famous [PERIOD]
fancy [AND] dishonest [IMPLY] anxious [P... | Proof chain:
Cannot apply rule “worrisome ⇒ ugliest” because missing: worrisome.
Cannot apply rule “anxious ⇒ ugliest” because missing: anxious.
Cannot apply rule “famous ∧ ambitious ∧ bored ⇒ ugliest” because missing: famous, ambitious, bored.
Cannot apply rule “jittery ⇒ ugliest” because missing: jittery.... | 0 | 4 |
Facts: Batman is anxious [PERIOD] Batman is cruel [PERIOD] Batman is curious [PERIOD] Batman is unpleasant [PERIOD] Batman is sleepy [PERIOD]
Rules:
unpleasant [AND] worried [AND] bright [IMPLY] alert [PERIOD]
curious [AND] sleepy [IMPLY] polite [PERIOD]
modern [AND] alert [AND] outrageous [IMPLY] bright [PERIOD]
rese... | Proof chain:
anxious ∧ curious ⇒ outrageous
Cannot apply rule “modern ∧ outrageous ∧ innocent ⇒ reserved” because missing: modern, innocent.
Cannot apply rule “shiny ∧ bright ∧ sleepy ⇒ reserved” because missing: shiny, bright.
Cannot apply rule “helpless ∧ anxious ∧ modern ⇒ reserved” because missing: help... | 0 | 4 |
Facts:
Rules:
naughty [AND] good [AND] glamorous [IMPLY] different [PERIOD]
fragile [AND] modern [IMPLY] jittery [PERIOD]
ugliest [AND] vivacious [AND] modern [IMPLY] sincere [PERIOD]
bright [IMPLY] impartial [PERIOD]
famous [AND] hilarious [IMPLY] naughty [PERIOD]
fragile [AND] talkative [AND] impartial [IMPLY] uptig... | Proof chain:
Cannot apply rule “famous ∧ hilarious ⇒ naughty” because missing: famous, hilarious.
Cannot apply rule “bright ⇒ naughty” because missing: bright.
Cannot apply rule “different ∧ uptight ∧ nervous ⇒ naughty” because missing: different, uptight, nervous.
Cannot apply rule “bad-tempered ⇒ naughty”... | 0 | 4 |
Facts: Batman is reserved [PERIOD]
Rules:
cute [AND] reserved [IMPLY] shiny [PERIOD]
excited [AND] clean [AND] reserved [IMPLY] fancy [PERIOD]
combative [AND] frightened [AND] clean [IMPLY] shiny [PERIOD]
courageous [AND] frightened [AND] shiny [IMPLY] bored [PERIOD]
bored [AND] fine [IMPLY] clean [PERIOD]
troubled [A... | Proof chain:
Cannot apply rule “fancy ∧ inexpensive ∧ sleepy ⇒ excited” because missing: fancy, inexpensive, sleepy.
Cannot apply rule “inexpensive ∧ disgusted ⇒ excited” because missing: inexpensive, disgusted.
Cannot apply rule “clean ⇒ excited” because missing: clean.
Cannot apply rule “fancy ∧ inexpensi... | 0 | 4 |
Facts: Batman is alert [PERIOD] Batman is tidy [PERIOD] Batman is innocent [PERIOD]
Rules:
frantic [AND] pessimistic [IMPLY] courageous [PERIOD]
lucky [AND] tidy [AND] pessimistic [IMPLY] precious [PERIOD]
alert [AND] gifted [AND] straightforward [IMPLY] innocent [PERIOD]
foolish [AND] frantic [IMPLY] innocent [PERIOD... | Proof chain:
Cannot apply rule “inquisitive ∧ innocent ∧ foolish ⇒ bright” because missing: inquisitive, foolish.
tidy ⇒ hypocritical
Cannot apply rule “courageous ∧ tidy ∧ hypocritical ⇒ bright” because missing: courageous.
Cannot apply rule “courageous ⇒ bright” because missing: courageous.
| 0 | 4 |
Facts: Batman is stormy [PERIOD] Batman is silly [PERIOD] Batman is average [PERIOD] Batman is grumpy [PERIOD] Batman is fancy [PERIOD] Batman is precious [PERIOD] Batman is talkative [PERIOD] Batman is cooperative [PERIOD] Batman is vivacious [PERIOD] Batman is bored [PERIOD] Batman is curious [PERIOD]
Rules:
talkati... | Proof chain:
talkative ⇒ frail
frail ⇒ inexpensive
fancy ⇒ friendly
stormy ∧ inexpensive ∧ friendly ⇒ outstanding
| 1 | 4 |
Facts: Batman is homely [PERIOD]
Rules:
foolish [AND] fragile [AND] gifted [IMPLY] homely [PERIOD]
gifted [AND] fine [IMPLY] foolish [PERIOD]
difficult [IMPLY] homely [PERIOD]
outstanding [AND] foolish [IMPLY] loving [PERIOD]
foolish [AND] homely [AND] gifted [IMPLY] outstanding [PERIOD]
foolish [IMPLY] gifted [PERIOD... | Proof chain:
Cannot apply rule “gifted ∧ fine ⇒ foolish” because missing: gifted, fine.
Cannot apply rule “outstanding ∧ loving ∧ gifted ⇒ foolish” because missing: outstanding, loving, gifted.
Cannot apply rule “fine ⇒ foolish” because missing: fine.
Cannot apply rule “outstanding ∧ loving ⇒ foolish” becau... | 0 | 4 |
Facts: Batman is wide-eyed [PERIOD]
Rules:
diplomatic [AND] frantic [AND] silly [IMPLY] wide-eyed [PERIOD]
reserved [IMPLY] agreeable [PERIOD]
clumsy [IMPLY] agreeable [PERIOD]
frantic [IMPLY] reserved [PERIOD]
reserved [AND] fragile [IMPLY] silly [PERIOD]
agreeable [IMPLY] frantic [PERIOD]
thoughtful [IMPLY] agreeabl... | Proof chain:
wide-eyed ⇒ clumsy
wide-eyed ⇒ clumsy
clumsy ⇒ agreeable
clumsy ∧ wide-eyed ∧ agreeable ⇒ distinct
| 1 | 4 |
Facts: Batman is cruel [PERIOD] Batman is mean [PERIOD] Batman is messy [PERIOD] Batman is careless [PERIOD] Batman is lucky [PERIOD] Batman is beautiful [PERIOD] Batman is famous [PERIOD] Batman is spotless [PERIOD] Batman is hypocritical [PERIOD]
Rules:
anxious [IMPLY] impatient [PERIOD]
anxious [IMPLY] adorable [PE... | Proof chain:
Cannot apply rule “messy ∧ confident ⇒ friendly” because missing: confident.
beautiful ⇒ anxious
anxious ⇒ adorable
Cannot apply rule “mean ∧ adorable ∧ frail ⇒ friendly” because missing: frail.
| 0 | 4 |
Facts: Batman is homely [PERIOD] Batman is blushing [PERIOD] Batman is fancy [PERIOD] Batman is tame [PERIOD] Batman is condemned [PERIOD]
Rules:
wrong [IMPLY] long [PERIOD]
fancy [IMPLY] condemned [PERIOD]
old-fashioned [AND] blushing [AND] long [IMPLY] bad-tempered [PERIOD]
wrong [IMPLY] homely [PERIOD]
bad-tempered... | Proof chain:
condemned ⇒ bad-tempered
bad-tempered ⇒ straightforward
straightforward ⇒ wrong
condemned ∧ wrong ⇒ old-fashioned
| 1 | 4 |
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