Question
string
Complex_CoT
string
Response
int64
Depth
int64
Facts: Batman is rational [PERIOD] Batman is long [PERIOD] Batman is charming [PERIOD] Batman is ugliest [PERIOD] Batman is elated [PERIOD] Batman is pessimistic [PERIOD] Batman is distinct [PERIOD] Batman is worrisome [PERIOD] Batman is perfect [PERIOD] Rules: long [AND] excited [IMPLY] supportive [PERIOD] fine [IMPL...
Proof chain: worrisome ⇒ lonely perfect ⇒ tame tame ⇒ disobedient perfect ⇒ tame tame ⇒ disobedient perfect ⇒ tame disobedient ∧ pessimistic ∧ tame ⇒ combative lonely ∧ disobedient ∧ combative ⇒ wide-eyed
1
8
Facts: Batman is modern [PERIOD] Rules: bored [AND] silly [IMPLY] excited [PERIOD] jittery [AND] ambitious [AND] excited [IMPLY] helpless [PERIOD] attractive [IMPLY] tense [PERIOD] disobedient [IMPLY] cooperative [PERIOD] excited [IMPLY] quaint [PERIOD] disobedient [AND] shiny [AND] selfish [IMPLY] jittery [PERIOD] mo...
Proof chain: Cannot apply rule “modern ∧ rude ⇒ straightforward” because missing: rude. modern ⇒ jittery Cannot apply rule “jittery ∧ excited ⇒ straightforward” because missing: excited. Cannot apply rule “long ∧ ambitious ∧ excited ⇒ straightforward” because missing: long, ambitious, excited. Cannot app...
0
8
Facts: Batman is intellectual [PERIOD] Batman is thoughtful [PERIOD] Batman is average [PERIOD] Batman is gifted [PERIOD] Rules: thoughtless [AND] selfish [IMPLY] thoughtful [PERIOD] tidy [AND] fearless [IMPLY] modern [PERIOD] good [IMPLY] mysterious [PERIOD] fearless [AND] stubborn [AND] intellectual [IMPLY] gifted [...
Proof chain: average ⇒ modern thoughtful ∧ modern ⇒ pleasant pleasant ⇒ helpless Cannot apply rule “average ∧ polite ∧ helpless ⇒ selfish” because missing: polite. Cannot apply rule “good ∧ thoughtful ⇒ selfish” because missing: good. average ⇒ modern thoughtful ∧ modern ⇒ pleasant Cannot apply ...
0
8
Facts: Batman is busy [PERIOD] Batman is witty [PERIOD] Rules: difficult [AND] embarrassed [AND] naughty [IMPLY] foolish [PERIOD] loving [IMPLY] embarrassed [PERIOD] difficult [IMPLY] charming [PERIOD] scared [IMPLY] difficult [PERIOD] adorable [AND] easy [IMPLY] grumpy [PERIOD] adorable [IMPLY] foolish [PERIOD] witty...
Proof chain: busy ⇒ embarrassed Cannot apply rule “difficult ∧ embarrassed ∧ naughty ⇒ foolish” because missing: difficult, naughty. Cannot apply rule “adorable ⇒ foolish” because missing: adorable. Cannot apply rule “courageous ∧ naughty ∧ adorable ⇒ foolish” because missing: courageous, naughty, adorable....
0
8
Facts: Batman is uptight [PERIOD] Rules: impatient [IMPLY] enchanting [PERIOD] wandering [AND] polite [IMPLY] elegant [PERIOD] elegant [IMPLY] enchanting [PERIOD] blushing [AND] intellectual [AND] uptight [IMPLY] polite [PERIOD] elegant [AND] polite [AND] wandering [IMPLY] uptight [PERIOD] enchanting [AND] wandering [...
Proof chain: uptight ⇒ blushing blushing ⇒ impatient impatient ⇒ enchanting uptight ⇒ blushing blushing ⇒ impatient uptight ⇒ blushing impatient ∧ blushing ⇒ intellectual uptight ∧ enchanting ∧ intellectual ⇒ spotless
1
8
Facts: Batman is homely [PERIOD] Batman is straightforward [PERIOD] Batman is outstanding [PERIOD] Batman is exuberant [PERIOD] Rules: gorgeous [AND] frail [IMPLY] amused [PERIOD] spotless [AND] exuberant [IMPLY] blushing [PERIOD] amused [IMPLY] weary [PERIOD] loving [AND] old-fashioned [IMPLY] gorgeous [PERIOD] spotl...
Proof chain: straightforward ⇒ frail Cannot apply rule “gorgeous ∧ frail ⇒ amused” because missing: gorgeous. Cannot apply rule “plain ⇒ amused” because missing: plain. Cannot apply rule “serious ⇒ amused” because missing: serious. Cannot apply rule “outstanding ∧ serious ∧ wandering ⇒ amused” because mi...
0
8
Facts: Batman is frail [PERIOD] Batman is worrisome [PERIOD] Batman is mysterious [PERIOD] Batman is disgusted [PERIOD] Rules: mysterious [AND] jittery [IMPLY] rational [PERIOD] messy [AND] stupid [IMPLY] frail [PERIOD] nervous [IMPLY] foolish [PERIOD] lucky [IMPLY] disgusted [PERIOD] calm [IMPLY] frail [PERIOD] dull ...
Proof chain: worrisome ⇒ jittery worrisome ∧ jittery ⇒ calm frail ⇒ different different ⇒ dull worrisome ⇒ jittery calm ∧ dull ∧ jittery ⇒ foolish worrisome ⇒ charming mysterious ∧ foolish ∧ charming ⇒ broad-minded
1
8
Facts: Rules: combative [AND] distinct [IMPLY] dishonest [PERIOD] alert [AND] combative [IMPLY] polite [PERIOD] polite [AND] alert [AND] embarrassed [IMPLY] reserved [PERIOD] alert [AND] distinct [AND] combative [IMPLY] reserved [PERIOD] nervous [IMPLY] anxious [PERIOD] alert [AND] reserved [AND] light [IMPLY] combati...
Proof chain: Cannot apply rule “polite ∧ alert ∧ embarrassed ⇒ reserved” because missing: polite, alert, embarrassed. Cannot apply rule “alert ∧ distinct ∧ combative ⇒ reserved” because missing: alert, distinct, combative. Cannot apply rule “distinct ∧ combative ∧ polite ⇒ reserved” because missing: distinct, ...
0
8
Facts: Batman is helpful [PERIOD] Batman is lonely [PERIOD] Batman is attentive [PERIOD] Batman is straightforward [PERIOD] Rules: attractive [AND] straightforward [IMPLY] joyous [PERIOD] comfortable [AND] attentive [AND] bossy [IMPLY] tidy [PERIOD] supportive [AND] busy [IMPLY] joyous [PERIOD] reserved [AND] bossy [A...
Proof chain: lonely ⇒ busy straightforward ⇒ condemned condemned ⇒ frail straightforward ⇒ condemned frail ∧ condemned ⇒ attractive attractive ∧ straightforward ⇒ joyous attentive ∧ busy ∧ joyous ⇒ pleasant pleasant ⇒ comfortable
1
8
Facts: Batman is impatient [PERIOD] Batman is ambitious [PERIOD] Batman is cute [PERIOD] Rules: vivacious [AND] ambitious [AND] confident [IMPLY] different [PERIOD] agreeable [IMPLY] serious [PERIOD] naughty [AND] elated [IMPLY] stormy [PERIOD] wrong [IMPLY] tame [PERIOD] combative [AND] cute [IMPLY] agreeable [PERIOD...
Proof chain: Cannot apply rule “agreeable ⇒ serious” because missing: agreeable. Cannot apply rule “different ∧ long ⇒ serious” because missing: different, long. Cannot apply rule “confident ⇒ serious” because missing: confident. Cannot apply rule “vivacious ⇒ serious” because missing: vivacious. Cannot ...
0
8
Facts: Batman is frightened [PERIOD] Rules: homely [AND] broad-minded [AND] frightened [IMPLY] frail [PERIOD] homely [AND] frightened [AND] adorable [IMPLY] straightforward [PERIOD] adorable [AND] straightforward [AND] broad-minded [IMPLY] frail [PERIOD] frightened [IMPLY] broad-minded [PERIOD] broad-minded [IMPLY] fr...
Proof chain: frightened ⇒ broad-minded broad-minded ⇒ frail frail ⇒ adorable frightened ⇒ broad-minded broad-minded ⇒ frail adorable ∧ frail ⇒ straightforward frightened ⇒ broad-minded straightforward ∧ broad-minded ∧ frightened ⇒ homely
1
8
Facts: Batman is scared [PERIOD] Batman is tender [PERIOD] Batman is frightened [PERIOD] Batman is silly [PERIOD] Batman is tense [PERIOD] Batman is fragile [PERIOD] Batman is confident [PERIOD] Batman is famous [PERIOD] Batman is gorgeous [PERIOD] Batman is ugliest [PERIOD] Rules: hilarious [AND] popular [IMPLY] busy...
Proof chain: ugliest ∧ famous ⇒ outrageous outrageous ⇒ wide-eyed silly ∧ frightened ⇒ messy scared ∧ messy ⇒ aggressive aggressive ∧ fragile ∧ scared ⇒ fearless scared ⇒ beautiful confident ∧ fearless ∧ beautiful ⇒ disgusted Cannot apply rule “wide-eyed ∧ average ∧ disgusted ⇒ glamorous” becaus...
0
8
Facts: Batman is ugliest [PERIOD] Batman is versatile [PERIOD] Rules: hilarious [AND] aggressive [AND] glamorous [IMPLY] good [PERIOD] condemned [AND] strange [IMPLY] thoughtful [PERIOD] aggressive [AND] modern [AND] thoughtful [IMPLY] good [PERIOD] cooperative [AND] exuberant [AND] modern [IMPLY] famous [PERIOD] cond...
Proof chain: ugliest ⇒ thoughtful thoughtful ⇒ exuberant Cannot apply rule “cooperative ∧ exuberant ∧ modern ⇒ famous” because missing: cooperative, modern. ugliest ⇒ thoughtful Cannot apply rule “hurt ∧ hilarious ∧ thoughtful ⇒ famous” because missing: hurt, hilarious. ugliest ⇒ thoughtful Cannot ...
0
8
Facts: Batman is wide-eyed [PERIOD] Batman is ugly [PERIOD] Batman is nervous [PERIOD] Rules: helpless [AND] stubborn [IMPLY] bad-tempered [PERIOD] perfect [AND] sleepy [IMPLY] impatient [PERIOD] perfect [IMPLY] wide-eyed [PERIOD] horrible [IMPLY] impartial [PERIOD] grumpy [IMPLY] bad-tempered [PERIOD] shiny [IMPLY] v...
Proof chain: ugly ⇒ courageous nervous ⇒ perfect ugly ∧ nervous ⇒ sleepy perfect ∧ sleepy ⇒ impatient courageous ∧ impatient ⇒ homely ugly ⇒ anxious anxious ⇒ versatile homely ∧ versatile ⇒ powerful
1
8
Facts: Batman is amused [PERIOD] Rules: amused [AND] pessimistic [AND] powerful [IMPLY] attentive [PERIOD] attentive [IMPLY] amused [PERIOD] amused [AND] polite [AND] attentive [IMPLY] dishonest [PERIOD] polite [IMPLY] attentive [PERIOD] dishonest [IMPLY] polite [PERIOD] amused [AND] polite [IMPLY] jittery [PERIOD] po...
Proof chain: amused ⇒ serious serious ⇒ polite polite ⇒ attentive amused ⇒ serious serious ⇒ polite polite ⇒ attentive attentive ∧ amused ⇒ powerful attentive ∧ powerful ⇒ alert
1
8
Facts: Batman is disobedient [PERIOD] Batman is glamorous [PERIOD] Batman is courageous [PERIOD] Rules: charming [IMPLY] vivacious [PERIOD] agreeable [AND] busy [IMPLY] versatile [PERIOD] elegant [AND] disobedient [IMPLY] cooperative [PERIOD] agreeable [IMPLY] cooperative [PERIOD] cooperative [AND] elegant [AND] comba...
Proof chain: Cannot apply rule “disobedient ∧ intellectual ⇒ shiny” because missing: intellectual. glamorous ⇒ reserved reserved ⇒ thoughtless Cannot apply rule “thoughtless ∧ weary ⇒ shiny” because missing: weary. Cannot apply rule “stubborn ⇒ shiny” because missing: stubborn. disobedient ⇒ spotless ...
0
8
Facts: Batman is good [PERIOD] Batman is talkative [PERIOD] Batman is outrageous [PERIOD] Batman is unpleasant [PERIOD] Batman is gleaming [PERIOD] Batman is difficult [PERIOD] Batman is worrisome [PERIOD] Batman is frail [PERIOD] Rules: different [AND] difficult [IMPLY] zealous [PERIOD] frail [AND] good [AND] wanderi...
Proof chain: good ∧ difficult ⇒ innocent innocent ⇒ gifted Cannot apply rule “old-fashioned ∧ outrageous ∧ gifted ⇒ cruel” because missing: old-fashioned. Cannot apply rule “agreeable ⇒ cruel” because missing: agreeable. outrageous ⇒ different different ⇒ plain Cannot apply rule “plain ∧ old-fashio...
0
8
Facts: Batman is outstanding [PERIOD] Batman is innocent [PERIOD] Rules: stubborn [AND] vivacious [AND] clumsy [IMPLY] gorgeous [PERIOD] vivacious [AND] difficult [AND] dull [IMPLY] helpless [PERIOD] dull [AND] cooperative [IMPLY] helpful [PERIOD] disgusted [AND] dull [IMPLY] cooperative [PERIOD] lonely [AND] grumpy [...
Proof chain: outstanding ⇒ clumsy clumsy ⇒ vivacious Cannot apply rule “vivacious ∧ difficult ∧ dull ⇒ helpless” because missing: difficult, dull. Cannot apply rule “gorgeous ∧ bored ∧ disgusted ⇒ helpless” because missing: gorgeous, bored, disgusted. outstanding ⇒ clumsy Cannot apply rule “dishonest ...
0
8
Facts: Batman is jittery [PERIOD] Rules: good [AND] sincere [IMPLY] modern [PERIOD] bored [AND] bright [AND] mysterious [IMPLY] powerful [PERIOD] good [AND] charming [AND] stupid [IMPLY] bored [PERIOD] modern [IMPLY] sincere [PERIOD] lucky [IMPLY] shy [PERIOD] modern [AND] jittery [IMPLY] bright [PERIOD] charming [AND...
Proof chain: jittery ⇒ modern modern ⇒ sincere sincere ∧ jittery ⇒ powerful jittery ⇒ modern jittery ⇒ modern modern ⇒ lucky lucky ⇒ shy powerful ∧ modern ∧ shy ⇒ aggressive
1
8
Facts: Batman is tender [PERIOD] Batman is troubled [PERIOD] Batman is horrible [PERIOD] Batman is silly [PERIOD] Batman is clumsy [PERIOD] Batman is different [PERIOD] Batman is stupid [PERIOD] Rules: inexpensive [IMPLY] bright [PERIOD] selfish [AND] lonely [AND] inexpensive [IMPLY] outrageous [PERIOD] inexpensive [I...
Proof chain: different ∧ clumsy ⇒ inexpensive inexpensive ⇒ bright bright ⇒ wide-eyed clumsy ⇒ quaint clumsy ∧ quaint ∧ different ⇒ frail frail ⇒ broad-minded broad-minded ⇒ agreeable wide-eyed ∧ horrible ∧ agreeable ⇒ hurt
1
8
Facts: Batman is agreeable [PERIOD] Rules: gorgeous [AND] grumpy [IMPLY] broad-minded [PERIOD] bad-tempered [IMPLY] gorgeous [PERIOD] hilarious [AND] bad-tempered [IMPLY] inexpensive [PERIOD] sleepy [AND] hilarious [IMPLY] elegant [PERIOD] sleepy [AND] agreeable [AND] enchanting [IMPLY] wandering [PERIOD] agreeable [A...
Proof chain: Cannot apply rule “hilarious ∧ bad-tempered ⇒ inexpensive” because missing: hilarious, bad-tempered. Cannot apply rule “enchanting ∧ elegant ∧ sleepy ⇒ inexpensive” because missing: enchanting, elegant, sleepy. Cannot apply rule “bad-tempered ∧ enchanting ∧ elegant ⇒ inexpensive” because missing: ...
0
8
Facts: Batman is outstanding [PERIOD] Batman is diplomatic [PERIOD] Batman is thoughtful [PERIOD] Batman is average [PERIOD] Batman is gorgeous [PERIOD] Batman is spotless [PERIOD] Rules: long [AND] light [AND] thoughtful [IMPLY] impatient [PERIOD] outstanding [AND] zealous [IMPLY] careless [PERIOD] inquisitive [IMPLY...
Proof chain: gorgeous ⇒ inquisitive inquisitive ⇒ perfect perfect ⇒ zealous gorgeous ⇒ inquisitive inquisitive ⇒ careless thoughtful ∧ zealous ∧ careless ⇒ smart outstanding ⇒ light thoughtful ∧ smart ∧ light ⇒ silly
1
8
Facts: Batman is adorable [PERIOD] Batman is attentive [PERIOD] Rules: disgusted [AND] bright [AND] reserved [IMPLY] popular [PERIOD] confident [IMPLY] hurt [PERIOD] adorable [IMPLY] sensible [PERIOD] scared [AND] old-fashioned [IMPLY] attractive [PERIOD] troubled [IMPLY] old-fashioned [PERIOD] scared [AND] reserved [...
Proof chain: Cannot apply rule “adorable ∧ unpleasant ⇒ silly” because missing: unpleasant. Cannot apply rule “confident ∧ serious ⇒ silly” because missing: confident, serious. Cannot apply rule “bright ∧ serious ∧ troubled ⇒ silly” because missing: bright, serious, troubled. Cannot apply rule “bright ∧ fra...
0
8
Facts: Batman is anxious [PERIOD] Batman is gleaming [PERIOD] Batman is proud [PERIOD] Batman is ugly [PERIOD] Rules: ugly [AND] polite [IMPLY] foolish [PERIOD] frantic [IMPLY] cooperative [PERIOD] serious [AND] bored [IMPLY] pessimistic [PERIOD] frantic [AND] homely [IMPLY] impatient [PERIOD] polite [AND] proud [AND]...
Proof chain: Cannot apply rule “frantic ∧ homely ⇒ impatient” because missing: frantic, homely. Cannot apply rule “old-fashioned ∧ reserved ∧ aggressive ⇒ impatient” because missing: old-fashioned, reserved, aggressive. gleaming ⇒ stupid stupid ⇒ bossy gleaming ⇒ stupid stupid ⇒ combative Cannot ap...
0
8
Facts: Rules: worried [AND] bossy [IMPLY] helpless [PERIOD] messy [AND] bossy [AND] worried [IMPLY] helpless [PERIOD] friendly [AND] messy [IMPLY] mysterious [PERIOD] worried [AND] mysterious [IMPLY] helpless [PERIOD] bossy [AND] outrageous [IMPLY] messy [PERIOD] helpless [AND] worried [IMPLY] bossy [PERIOD] bossy [AN...
Proof chain: Cannot apply rule “worried ∧ bossy ⇒ helpless” because missing: worried, bossy. Cannot apply rule “messy ∧ bossy ∧ worried ⇒ helpless” because missing: messy, bossy, worried. Cannot apply rule “worried ∧ mysterious ⇒ helpless” because missing: worried, mysterious. Cannot apply rule “bossy ⇒ hel...
0
8
Facts: Batman is tidy [PERIOD] Batman is reserved [PERIOD] Batman is weary [PERIOD] Rules: frail [AND] talented [IMPLY] calm [PERIOD] tidy [AND] worried [IMPLY] cute [PERIOD] confident [AND] calm [IMPLY] sensible [PERIOD] weary [AND] cute [AND] blushing [IMPLY] curious [PERIOD] outrageous [AND] messy [AND] talented [I...
Proof chain: Cannot apply rule “comfortable ⇒ outrageous” because missing: comfortable. reserved ⇒ calm calm ⇒ inquisitive Cannot apply rule “innocent ∧ curious ∧ inquisitive ⇒ outrageous” because missing: innocent, curious. reserved ⇒ calm calm ⇒ inquisitive reserved ⇒ calm Cannot apply rule “i...
0
8
Facts: Batman is blushing [PERIOD] Batman is tender [PERIOD] Rules: zealous [AND] versatile [AND] straightforward [IMPLY] disobedient [PERIOD] worrisome [AND] famous [IMPLY] talkative [PERIOD] zealous [AND] messy [AND] famous [IMPLY] straightforward [PERIOD] talkative [AND] tender [AND] light [IMPLY] blushing [PERIOD]...
Proof chain: tender ⇒ zealous blushing ⇒ bright bright ⇒ messy blushing ⇒ bright bright ⇒ messy messy ⇒ light messy ∧ light ⇒ famous zealous ∧ famous ⇒ versatile
1
8
Facts: Batman is naughty [PERIOD] Batman is attentive [PERIOD] Rules: polite [AND] crowded [IMPLY] nervous [PERIOD] attentive [AND] crowded [AND] busy [IMPLY] nervous [PERIOD] outstanding [AND] selfish [AND] comfortable [IMPLY] zealous [PERIOD] selfish [IMPLY] zealous [PERIOD] busy [AND] attentive [AND] talkative [IMP...
Proof chain: Cannot apply rule “outstanding ∧ selfish ∧ comfortable ⇒ zealous” because missing: outstanding, selfish, comfortable. Cannot apply rule “selfish ⇒ zealous” because missing: selfish. Cannot apply rule “busy ∧ attentive ∧ talkative ⇒ zealous” because missing: busy, talkative. Cannot apply rule “c...
0
8
Facts: Batman is loving [PERIOD] Batman is precious [PERIOD] Batman is talented [PERIOD] Batman is careless [PERIOD] Rules: long [AND] pessimistic [IMPLY] disobedient [PERIOD] fragile [IMPLY] precious [PERIOD] straightforward [AND] uptight [IMPLY] long [PERIOD] precious [AND] careless [IMPLY] polite [PERIOD] powerful ...
Proof chain: Cannot apply rule “careless ∧ attractive ⇒ wide-eyed” because missing: attractive. precious ∧ careless ⇒ polite loving ∧ polite ⇒ cute cute ⇒ hurt precious ⇒ horrible horrible ⇒ homely hurt ∧ homely ⇒ confident Cannot apply rule “fragile ∧ confident ∧ diplomatic ⇒ wide-eyed” because...
0
8
Facts: Batman is versatile [PERIOD] Batman is lucky [PERIOD] Rules: witty [AND] popular [IMPLY] elegant [PERIOD] hypocritical [IMPLY] popular [PERIOD] lucky [AND] friendly [IMPLY] intellectual [PERIOD] hypocritical [AND] inquisitive [IMPLY] elegant [PERIOD] comfortable [AND] thoughtful [AND] outstanding [IMPLY] disgus...
Proof chain: versatile ⇒ friendly lucky ∧ friendly ⇒ intellectual intellectual ⇒ popular popular ⇒ comfortable comfortable ⇒ cooperative versatile ⇒ friendly lucky ∧ friendly ⇒ intellectual cooperative ∧ intellectual ⇒ sincere
1
8
Facts: Batman is vivacious [PERIOD] Batman is crowded [PERIOD] Rules: joyous [AND] naughty [AND] stormy [IMPLY] ugliest [PERIOD] fine [AND] helpful [IMPLY] busy [PERIOD] joyous [AND] inquisitive [IMPLY] bored [PERIOD] alert [IMPLY] helpful [PERIOD] stormy [AND] joyous [AND] uptight [IMPLY] ugliest [PERIOD] amused [AND...
Proof chain: vivacious ⇒ cute cute ⇒ inquisitive vivacious ⇒ cute cute ∧ vivacious ⇒ naughty vivacious ⇒ cute cute ⇒ inquisitive naughty ∧ inquisitive ⇒ alert inquisitive ∧ alert ⇒ busy
1
8
Facts: Batman is fancy [PERIOD] Batman is aggressive [PERIOD] Batman is impartial [PERIOD] Batman is inquisitive [PERIOD] Batman is embarrassed [PERIOD] Batman is courageous [PERIOD] Rules: fancy [AND] inquisitive [IMPLY] impartial [PERIOD] shy [AND] embarrassed [IMPLY] elated [PERIOD] polite [AND] impartial [IMPLY] c...
Proof chain: Cannot apply rule “fine ∧ fancy ∧ intellectual ⇒ innocent” because missing: fine, intellectual. inquisitive ∧ aggressive ⇒ dishonest dishonest ⇒ calm Cannot apply rule “calm ∧ silly ∧ elated ⇒ innocent” because missing: silly, elated. Cannot apply rule “aggressive ∧ fine ∧ horrible ⇒ innocen...
0
8
Facts: Rules: strange [AND] polite [AND] bad-tempered [IMPLY] condemned [PERIOD] beautiful [AND] hilarious [AND] smart [IMPLY] anxious [PERIOD] polite [AND] strange [IMPLY] condemned [PERIOD] anxious [AND] thoughtful [AND] strange [IMPLY] condemned [PERIOD] hilarious [AND] smart [AND] polite [IMPLY] tense [PERIOD] pol...
Proof chain: Cannot apply rule “polite ⇒ strange” because missing: polite. Cannot apply rule “condemned ∧ talented ⇒ strange” because missing: condemned, talented. Cannot apply rule “tense ∧ beautiful ⇒ strange” because missing: tense, beautiful. Cannot apply rule “beautiful ∧ condemned ⇒ strange” because m...
0
8
Facts: Batman is average [PERIOD] Rules: disgusted [AND] dishonest [IMPLY] average [PERIOD] glamorous [AND] rude [AND] cute [IMPLY] hypocritical [PERIOD] clumsy [IMPLY] glamorous [PERIOD] hypocritical [IMPLY] beautiful [PERIOD] frantic [IMPLY] helpless [PERIOD] helpless [AND] ambitious [AND] quaint [IMPLY] crowded [PE...
Proof chain: average ⇒ crowded crowded ⇒ cooperative average ⇒ old-fashioned cooperative ∧ old-fashioned ⇒ glamorous average ⇒ crowded crowded ⇒ cooperative cooperative ⇒ disgusted average ∧ glamorous ∧ disgusted ⇒ cute
1
8
Facts: Batman is inexpensive [PERIOD] Batman is fine [PERIOD] Batman is tense [PERIOD] Batman is busy [PERIOD] Rules: rational [IMPLY] fine [PERIOD] ugly [AND] rude [AND] wandering [IMPLY] blushing [PERIOD] powerful [AND] ambitious [AND] sincere [IMPLY] lucky [PERIOD] rude [AND] old-fashioned [AND] rational [IMPLY] fi...
Proof chain: tense ⇒ talented fine ⇒ blushing talented ∧ blushing ⇒ adorable adorable ∧ busy ⇒ old-fashioned old-fashioned ⇒ rude rude ⇒ rational rational ⇒ muddy Cannot apply rule “muddy ∧ serious ⇒ talkative” because missing: serious.
0
8
Facts: Rules: modern [AND] innocent [AND] frail [IMPLY] old-fashioned [PERIOD] lucky [AND] quaint [IMPLY] zealous [PERIOD] modern [AND] pessimistic [AND] helpless [IMPLY] old-fashioned [PERIOD] frail [AND] aggressive [IMPLY] old-fashioned [PERIOD] lucky [AND] modern [IMPLY] fine [PERIOD] quaint [IMPLY] difficult [PERI...
Proof chain: Cannot apply rule “modern ∧ innocent ∧ frail ⇒ old-fashioned” because missing: modern, innocent, frail. Cannot apply rule “modern ∧ pessimistic ∧ helpless ⇒ old-fashioned” because missing: modern, pessimistic, helpless. Cannot apply rule “frail ∧ aggressive ⇒ old-fashioned” because missing: frail,...
0
8
Facts: Batman is mysterious [PERIOD] Batman is hilarious [PERIOD] Batman is dishonest [PERIOD] Rules: mean [IMPLY] hilarious [PERIOD] jittery [IMPLY] confident [PERIOD] stormy [AND] mysterious [AND] bored [IMPLY] elegant [PERIOD] diplomatic [AND] jittery [IMPLY] stormy [PERIOD] mysterious [AND] dishonest [IMPLY] inqui...
Proof chain: hilarious ⇒ stormy hilarious ⇒ jittery jittery ⇒ confident confident ∧ dishonest ⇒ tired hilarious ⇒ jittery jittery ⇒ confident tired ∧ confident ⇒ bored stormy ∧ mysterious ∧ bored ⇒ elegant
1
8
Facts: Batman is broad-minded [PERIOD] Batman is rude [PERIOD] Rules: plain [AND] calm [IMPLY] loving [PERIOD] worried [AND] thoughtless [IMPLY] courageous [PERIOD] homely [AND] courageous [IMPLY] tender [PERIOD] worried [IMPLY] thoughtless [PERIOD] rude [AND] old-fashioned [AND] courageous [IMPLY] nervous [PERIOD] wo...
Proof chain: Cannot apply rule “worried ⇒ thoughtless” because missing: worried. Cannot apply rule “confused ⇒ thoughtless” because missing: confused. broad-minded ⇒ pessimistic pessimistic ⇒ unpleasant unpleasant ⇒ vivacious Cannot apply rule “nervous ∧ jittery ∧ vivacious ⇒ thoughtless” because miss...
0
8
Facts: Batman is fine [PERIOD] Batman is average [PERIOD] Batman is scared [PERIOD] Batman is pleasant [PERIOD] Rules: shiny [AND] average [IMPLY] attentive [PERIOD] frail [AND] scared [AND] pleasant [IMPLY] ugliest [PERIOD] gifted [AND] charming [AND] proud [IMPLY] blushing [PERIOD] anxious [AND] pleasant [AND] proud...
Proof chain: pleasant ⇒ anxious anxious ⇒ gifted pleasant ⇒ anxious anxious ⇒ charming pleasant ⇒ anxious anxious ⇒ charming charming ⇒ proud gifted ∧ charming ∧ proud ⇒ blushing
1
8
Facts: Batman is disgusted [PERIOD] Batman is troubled [PERIOD] Batman is inexpensive [PERIOD] Batman is impatient [PERIOD] Batman is tidy [PERIOD] Batman is ambitious [PERIOD] Batman is old-fashioned [PERIOD] Batman is naughty [PERIOD] Batman is stupid [PERIOD] Batman is powerful [PERIOD] Batman is mean [PERIOD] Batm...
Proof chain: tidy ∧ ambitious ∧ busy ⇒ rude rude ⇒ popular quaint ⇒ fearless popular ∧ fearless ⇒ worrisome tidy ∧ ambitious ∧ busy ⇒ rude rude ⇒ dishonest disgusted ∧ worrisome ∧ dishonest ⇒ muddy busy ∧ muddy ⇒ fancy
1
8
Facts: Rules: bad-tempered [AND] nervous [IMPLY] scared [PERIOD] scared [AND] blushing [AND] intellectual [IMPLY] loving [PERIOD] wrong [IMPLY] broad-minded [PERIOD] broad-minded [IMPLY] bad-tempered [PERIOD] friendly [AND] bright [IMPLY] gleaming [PERIOD] tense [IMPLY] innocent [PERIOD] silly [IMPLY] friendly [PERIOD...
Proof chain: Cannot apply rule “exuberant ⇒ silly” because missing: exuberant. Cannot apply rule “tame ∧ innocent ⇒ silly” because missing: tame, innocent. Cannot apply rule “busy ∧ intellectual ∧ innocent ⇒ silly” because missing: busy, intellectual, innocent. Cannot apply rule “loving ⇒ silly” because mis...
0
8
Facts: Batman is elegant [PERIOD] Batman is spotless [PERIOD] Batman is stormy [PERIOD] Batman is blushing [PERIOD] Batman is pleasant [PERIOD] Batman is good [PERIOD] Batman is mean [PERIOD] Batman is friendly [PERIOD] Batman is helpful [PERIOD] Rules: helpful [AND] confused [IMPLY] inexpensive [PERIOD] inexpensive [...
Proof chain: Cannot apply rule “blushing ∧ inexpensive ⇒ confused” because missing: inexpensive. pleasant ⇒ confident stormy ∧ elegant ∧ confident ⇒ smart helpful ∧ good ⇒ powerful mean ∧ smart ∧ powerful ⇒ talented pleasant ⇒ confident stormy ∧ elegant ∧ confident ⇒ smart Cannot apply rule “ine...
0
8
Facts: Rules: ugly [AND] wide-eyed [IMPLY] condemned [PERIOD] jittery [IMPLY] hilarious [PERIOD] condemned [AND] wide-eyed [IMPLY] beautiful [PERIOD] jittery [AND] hilarious [IMPLY] condemned [PERIOD] wide-eyed [IMPLY] condemned [PERIOD] hilarious [IMPLY] jittery [PERIOD] excited [AND] jittery [AND] weary [IMPLY] crue...
Proof chain: Cannot apply rule “hilarious ⇒ jittery” because missing: hilarious. Cannot apply rule “wide-eyed ∧ impartial ∧ stormy ⇒ jittery” because missing: wide-eyed, impartial, stormy. Cannot apply rule “impartial ∧ cruel ∧ condemned ⇒ jittery” because missing: impartial, cruel, condemned. Cannot apply ...
0
8
Facts: Batman is nervous [PERIOD] Batman is fancy [PERIOD] Batman is grumpy [PERIOD] Batman is proud [PERIOD] Rules: adorable [IMPLY] grumpy [PERIOD] nervous [AND] impatient [IMPLY] adorable [PERIOD] fine [AND] thoughtful [IMPLY] pleasant [PERIOD] broad-minded [AND] talkative [IMPLY] adorable [PERIOD] talkative [AND] ...
Proof chain: nervous ⇒ confused confused ⇒ broad-minded fancy ⇒ talkative broad-minded ∧ talkative ⇒ adorable grumpy ∧ adorable ⇒ fine nervous ⇒ confused proud ∧ fancy ∧ confused ⇒ thoughtful fine ∧ thoughtful ⇒ pleasant
1
8
Facts: Batman is homely [PERIOD] Batman is enchanting [PERIOD] Batman is stupid [PERIOD] Batman is loving [PERIOD] Rules: sincere [AND] homely [AND] impatient [IMPLY] enchanting [PERIOD] impatient [AND] stupid [AND] lucky [IMPLY] enchanting [PERIOD] charming [AND] stupid [IMPLY] sincere [PERIOD] sincere [AND] agreeabl...
Proof chain: stupid ⇒ lucky homely ∧ loving ∧ lucky ⇒ sincere Cannot apply rule “sincere ∧ agreeable ∧ hilarious ⇒ diplomatic” because missing: agreeable, hilarious. Cannot apply rule “popular ∧ enchanting ∧ agreeable ⇒ diplomatic” because missing: popular, agreeable. Cannot apply rule “agreeable ⇒ diplo...
0
8
Facts: Batman is weary [PERIOD] Batman is tame [PERIOD] Batman is polite [PERIOD] Batman is wrong [PERIOD] Batman is spotless [PERIOD] Batman is smart [PERIOD] Batman is frail [PERIOD] Rules: polite [AND] distinct [AND] wide-eyed [IMPLY] loving [PERIOD] weary [IMPLY] tidy [PERIOD] wrong [AND] long [AND] aggressive [IM...
Proof chain: weary ⇒ outstanding spotless ∧ tame ⇒ distinct polite ⇒ wide-eyed polite ∧ distinct ∧ wide-eyed ⇒ loving tame ⇒ cute loving ∧ cute ⇒ courageous outstanding ∧ courageous ⇒ aggressive aggressive ⇒ perfect
1
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Facts: Batman is fancy [PERIOD] Batman is shy [PERIOD] Rules: average [AND] straightforward [IMPLY] fancy [PERIOD] average [AND] shy [IMPLY] straightforward [PERIOD] disgusted [AND] shy [AND] friendly [IMPLY] fancy [PERIOD] exuberant [AND] fancy [AND] straightforward [IMPLY] shy [PERIOD] exuberant [AND] tender [IMPLY]...
Proof chain: fancy ⇒ exuberant exuberant ⇒ worried Cannot apply rule “worried ∧ friendly ⇒ disgusted” because missing: friendly. fancy ⇒ tender tender ⇒ average Cannot apply rule “friendly ∧ average ⇒ disgusted” because missing: friendly. fancy ⇒ tender Cannot apply rule “tender ∧ friendly ⇒ dis...
0
8
Facts: Batman is mean [PERIOD] Rules: hilarious [AND] fancy [IMPLY] straightforward [PERIOD] pessimistic [AND] straightforward [AND] hilarious [IMPLY] mean [PERIOD] hilarious [AND] fancy [AND] straightforward [IMPLY] mean [PERIOD] fancy [AND] hilarious [AND] lonely [IMPLY] pessimistic [PERIOD] mean [AND] lonely [AND] ...
Proof chain: mean ⇒ straightforward straightforward ∧ mean ⇒ fancy fancy ⇒ lonely mean ⇒ straightforward mean ⇒ straightforward straightforward ∧ mean ⇒ fancy straightforward ∧ fancy ⇒ pessimistic lonely ∧ pessimistic ⇒ hilarious
1
8
Facts: Batman is ambitious [PERIOD] Rules: polite [AND] victorious [IMPLY] straightforward [PERIOD] stormy [AND] pessimistic [IMPLY] famous [PERIOD] disgusted [AND] pessimistic [AND] frail [IMPLY] helpful [PERIOD] scared [AND] polite [AND] tired [IMPLY] muddy [PERIOD] helpful [IMPLY] victorious [PERIOD] ambitious [IMP...
Proof chain: ambitious ⇒ famous famous ⇒ jittery jittery ⇒ frail Cannot apply rule “disgusted ∧ pessimistic ∧ frail ⇒ helpful” because missing: disgusted, pessimistic. ambitious ⇒ famous famous ⇒ jittery jittery ⇒ frail Cannot apply rule “broad-minded ∧ ambitious ∧ frail ⇒ helpful” because missi...
0
8
Facts: Batman is diplomatic [PERIOD] Rules: diplomatic [IMPLY] serious [PERIOD] diplomatic [AND] anxious [AND] frightened [IMPLY] alert [PERIOD] diplomatic [AND] plain [AND] serious [IMPLY] alert [PERIOD] plain [AND] anxious [AND] diplomatic [IMPLY] serious [PERIOD] comfortable [IMPLY] plain [PERIOD] frightened [AND] ...
Proof chain: diplomatic ⇒ serious Cannot apply rule “serious ∧ alert ⇒ frightened” because missing: alert. Cannot apply rule “comfortable ⇒ frightened” because missing: comfortable. diplomatic ⇒ serious Cannot apply rule “anxious ∧ serious ⇒ frightened” because missing: anxious. Cannot apply rule “dip...
0
8
Facts: Batman is grumpy [PERIOD] Batman is muddy [PERIOD] Batman is fragile [PERIOD] Rules: dull [AND] perfect [AND] spotless [IMPLY] grumpy [PERIOD] grumpy [IMPLY] smart [PERIOD] witty [AND] grumpy [IMPLY] fragile [PERIOD] dull [AND] perfect [AND] muddy [IMPLY] amused [PERIOD] witty [AND] tense [IMPLY] grumpy [PERIOD...
Proof chain: grumpy ⇒ smart smart ⇒ tense grumpy ⇒ smart smart ⇒ tense tense ⇒ dull fragile ⇒ witty witty ⇒ plain tense ∧ dull ∧ plain ⇒ perfect
1
8
Facts: Batman is precious [PERIOD] Batman is busy [PERIOD] Batman is attractive [PERIOD] Batman is broad-minded [PERIOD] Batman is tidy [PERIOD] Rules: serious [IMPLY] polite [PERIOD] inexpensive [AND] combative [AND] curious [IMPLY] straightforward [PERIOD] combative [IMPLY] plain [PERIOD] alert [AND] straightforward...
Proof chain: tidy ⇒ reserved tidy ∧ busy ⇒ curious curious ⇒ alert tidy ⇒ reserved reserved ⇒ scared alert ∧ scared ⇒ combative reserved ∧ busy ∧ combative ⇒ ugly ugly ∧ broad-minded ⇒ naughty
1
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Facts: Batman is thoughtful [PERIOD] Batman is tidy [PERIOD] Batman is easy [PERIOD] Batman is difficult [PERIOD] Batman is clean [PERIOD] Rules: easy [IMPLY] bad-tempered [PERIOD] impartial [IMPLY] thoughtful [PERIOD] broad-minded [AND] mysterious [AND] outrageous [IMPLY] hilarious [PERIOD] pleasant [IMPLY] diplomati...
Proof chain: difficult ∧ easy ⇒ impartial impartial ∧ difficult ⇒ pleasant pleasant ⇒ diplomatic difficult ∧ easy ⇒ impartial impartial ∧ difficult ⇒ pleasant diplomatic ∧ pleasant ⇒ charming charming ∧ thoughtful ∧ tidy ⇒ powerful powerful ∧ thoughtful ⇒ long
1
8
Facts: Batman is uptight [PERIOD] Batman is talented [PERIOD] Batman is selfish [PERIOD] Batman is helpless [PERIOD] Rules: agreeable [IMPLY] embarrassed [PERIOD] powerful [AND] reserved [IMPLY] talented [PERIOD] selfish [AND] gleaming [AND] joyous [IMPLY] curious [PERIOD] agreeable [AND] embarrassed [IMPLY] elated [P...
Proof chain: selfish ⇒ joyous selfish ⇒ gleaming joyous ∧ gleaming ∧ talented ⇒ difficult selfish ⇒ gleaming uptight ∧ difficult ∧ gleaming ⇒ blushing selfish ⇒ gleaming selfish ∧ gleaming ⇒ gifted blushing ∧ gifted ⇒ reserved
1
8
Facts: Batman is inquisitive [PERIOD] Batman is rude [PERIOD] Batman is sincere [PERIOD] Batman is stubborn [PERIOD] Rules: weary [IMPLY] adorable [PERIOD] nervous [IMPLY] wide-eyed [PERIOD] nervous [IMPLY] sincere [PERIOD] smart [IMPLY] average [PERIOD] homely [AND] worried [AND] stubborn [IMPLY] troubled [PERIOD] im...
Proof chain: sincere ⇒ supportive supportive ⇒ homely Cannot apply rule “stubborn ∧ homely ∧ worried ⇒ smart” because missing: worried. sincere ⇒ supportive supportive ⇒ homely homely ⇒ average sincere ⇒ supportive Cannot apply rule “average ∧ supportive ∧ troubled ⇒ smart” because missing: trou...
0
8
Facts: Batman is sleepy [PERIOD] Batman is bossy [PERIOD] Rules: ugly [IMPLY] light [PERIOD] light [AND] polite [AND] foolish [IMPLY] fragile [PERIOD] inquisitive [IMPLY] enchanting [PERIOD] foolish [AND] sleepy [IMPLY] hilarious [PERIOD] light [AND] broad-minded [IMPLY] adorable [PERIOD] inquisitive [IMPLY] tame [PER...
Proof chain: sleepy ∧ bossy ⇒ ugly ugly ⇒ light sleepy ∧ bossy ⇒ ugly ugly ⇒ polite sleepy ∧ bossy ⇒ ugly ugly ⇒ polite polite ⇒ foolish light ∧ polite ∧ foolish ⇒ fragile
1
8
Facts: Rules: average [AND] muddy [IMPLY] wrong [PERIOD] strange [IMPLY] cooperative [PERIOD] scared [AND] thoughtless [IMPLY] foolish [PERIOD] spotless [AND] weary [IMPLY] cruel [PERIOD] quaint [AND] cruel [AND] unpleasant [IMPLY] alert [PERIOD] powerful [AND] innocent [AND] wrong [IMPLY] tame [PERIOD] muddy [AND] po...
Proof chain: Cannot apply rule “muddy ∧ powerful ⇒ innocent” because missing: muddy, powerful. Cannot apply rule “alert ∧ spotless ⇒ innocent” because missing: alert, spotless. Cannot apply rule “excited ⇒ innocent” because missing: excited. Cannot apply rule “spotless ∧ gifted ∧ foolish ⇒ innocent” because...
0
8
Facts: Batman is condemned [PERIOD] Batman is outrageous [PERIOD] Batman is disobedient [PERIOD] Rules: glamorous [IMPLY] ugly [PERIOD] glamorous [AND] attentive [AND] condemned [IMPLY] outrageous [PERIOD] condemned [AND] naughty [AND] outrageous [IMPLY] ugly [PERIOD] bored [IMPLY] naughty [PERIOD] lucky [AND] condemn...
Proof chain: disobedient ∧ condemned ⇒ glamorous disobedient ⇒ lucky condemned ∧ glamorous ∧ lucky ⇒ attentive outrageous ∧ attentive ⇒ tender disobedient ∧ condemned ⇒ glamorous disobedient ⇒ lucky condemned ∧ glamorous ∧ lucky ⇒ attentive tender ∧ attentive ⇒ anxious
1
8
Facts: Batman is broad-minded [PERIOD] Batman is disgusted [PERIOD] Batman is straightforward [PERIOD] Batman is innocent [PERIOD] Rules: frightened [AND] plain [IMPLY] weary [PERIOD] innocent [AND] joyous [AND] disgusted [IMPLY] bright [PERIOD] ugly [AND] tidy [AND] broad-minded [IMPLY] bright [PERIOD] enchanting [IM...
Proof chain: Cannot apply rule “frightened ∧ plain ⇒ weary” because missing: frightened, plain. disgusted ⇒ tidy broad-minded ∧ tidy ∧ disgusted ⇒ enchanting enchanting ⇒ ugliest disgusted ⇒ tidy Cannot apply rule “ugliest ∧ ugly ∧ tidy ⇒ weary” because missing: ugly. Cannot apply rule “difficult ∧...
0
8
Facts: Rules: gifted [AND] embarrassed [IMPLY] popular [PERIOD] embarrassed [IMPLY] troubled [PERIOD] dull [IMPLY] innocent [PERIOD] popular [AND] modern [AND] embarrassed [IMPLY] worrisome [PERIOD] elated [AND] zealous [AND] innocent [IMPLY] embarrassed [PERIOD] impartial [IMPLY] scared [PERIOD] horrible [AND] agreea...
Proof chain: Cannot apply rule “horrible ⇒ fragile” because missing: horrible. Cannot apply rule “dull ⇒ fragile” because missing: dull. Cannot apply rule “gifted ∧ worrisome ⇒ fragile” because missing: gifted, worrisome. Cannot apply rule “scared ⇒ fragile” because missing: scared. Cannot apply rule “tr...
0
8
Facts: Batman is spotless [PERIOD] Batman is precious [PERIOD] Batman is clumsy [PERIOD] Batman is confident [PERIOD] Batman is gleaming [PERIOD] Batman is innocent [PERIOD] Batman is charming [PERIOD] Batman is wrong [PERIOD] Batman is tidy [PERIOD] Batman is hurt [PERIOD] Batman is condemned [PERIOD] Rules: joyous [...
Proof chain: innocent ⇒ shy shy ∧ wrong ⇒ combative tidy ∧ combative ⇒ careless Cannot apply rule “careless ∧ blushing ⇒ confused” because missing: blushing. precious ⇒ ugly ugly ⇒ shiny Cannot apply rule “shiny ∧ serious ⇒ confused” because missing: serious. Cannot apply rule “innocent ∧ grumpy...
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8
Facts: Batman is tender [PERIOD] Batman is disgusted [PERIOD] Rules: glamorous [AND] hypocritical [IMPLY] tame [PERIOD] tidy [AND] tender [AND] aggressive [IMPLY] adorable [PERIOD] easy [IMPLY] long [PERIOD] clumsy [AND] broad-minded [IMPLY] wide-eyed [PERIOD] broad-minded [IMPLY] hurt [PERIOD] tidy [AND] impartial [I...
Proof chain: Cannot apply rule “condemned ⇒ stormy” because missing: condemned. tender ⇒ gorgeous gorgeous ⇒ joyous disgusted ∧ joyous ⇒ hypocritical Cannot apply rule “friendly ∧ hypocritical ∧ inexpensive ⇒ stormy” because missing: friendly, inexpensive. Cannot apply rule “glamorous ⇒ stormy” becaus...
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8
Facts: Batman is cooperative [PERIOD] Batman is inquisitive [PERIOD] Batman is alert [PERIOD] Rules: tense [AND] tender [AND] alert [IMPLY] confused [PERIOD] cruel [IMPLY] tense [PERIOD] blushing [AND] fearless [IMPLY] rude [PERIOD] cooperative [IMPLY] foolish [PERIOD] talented [AND] comfortable [AND] witty [IMPLY] ru...
Proof chain: cooperative ⇒ foolish cooperative ⇒ foolish foolish ⇒ homely Cannot apply rule “foolish ∧ homely ∧ dull ⇒ cute” because missing: dull. cooperative ⇒ foolish foolish ⇒ fancy Cannot apply rule “blushing ∧ fancy ∧ talkative ⇒ cute” because missing: blushing, talkative. Cannot apply rul...
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8
Facts: Batman is outstanding [PERIOD] Batman is inquisitive [PERIOD] Batman is sensible [PERIOD] Rules: mean [AND] tender [IMPLY] confident [PERIOD] mean [IMPLY] innocent [PERIOD] tender [AND] bored [IMPLY] selfish [PERIOD] homely [IMPLY] pessimistic [PERIOD] outstanding [AND] light [AND] clumsy [IMPLY] hilarious [PER...
Proof chain: Cannot apply rule “homely ∧ sensible ⇒ tame” because missing: homely. Cannot apply rule “crowded ∧ elated ∧ gorgeous ⇒ tame” because missing: crowded, elated, gorgeous. outstanding ⇒ famous famous ⇒ bored Cannot apply rule “bored ∧ gorgeous ⇒ tame” because missing: gorgeous. outstanding ⇒...
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8
Facts: Batman is fragile [PERIOD] Batman is proud [PERIOD] Batman is frantic [PERIOD] Batman is cute [PERIOD] Batman is hurt [PERIOD] Rules: proud [IMPLY] alert [PERIOD] pessimistic [AND] friendly [AND] smart [IMPLY] inexpensive [PERIOD] charming [AND] frantic [IMPLY] thoughtful [PERIOD] wrong [IMPLY] ugliest [PERIOD]...
Proof chain: cute ∧ hurt ⇒ attentive attentive ⇒ ugliest cute ∧ hurt ⇒ attentive attentive ⇒ ugliest fragile ⇒ horrible ugliest ∧ horrible ⇒ charming ugliest ∧ charming ∧ cute ⇒ busy cute ∧ busy ⇒ frightened
1
8
Facts: Rules: wrong [AND] disobedient [IMPLY] embarrassed [PERIOD] diplomatic [AND] wide-eyed [IMPLY] gleaming [PERIOD] disobedient [AND] worried [IMPLY] gleaming [PERIOD] victorious [IMPLY] condemned [PERIOD] easy [IMPLY] enchanting [PERIOD] wrong [IMPLY] diplomatic [PERIOD] disobedient [IMPLY] condemned [PERIOD] eas...
Proof chain: Cannot apply rule “victorious ⇒ condemned” because missing: victorious. Cannot apply rule “disobedient ⇒ condemned” because missing: disobedient. Cannot apply rule “frightened ⇒ condemned” because missing: frightened. Cannot apply rule “worried ⇒ condemned” because missing: worried. Cannot a...
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8
Facts: Batman is messy [PERIOD] Batman is silly [PERIOD] Batman is charming [PERIOD] Batman is uptight [PERIOD] Rules: uptight [AND] rational [IMPLY] sensible [PERIOD] strange [IMPLY] loving [PERIOD] messy [AND] disgusted [IMPLY] cute [PERIOD] rational [AND] loving [AND] beautiful [IMPLY] combative [PERIOD] witty [AND...
Proof chain: silly ⇒ distinct distinct ⇒ disgusted messy ∧ silly ∧ disgusted ⇒ versatile versatile ⇒ ambitious silly ⇒ distinct distinct ⇒ disgusted messy ∧ disgusted ⇒ cute ambitious ∧ cute ⇒ witty
1
8
Facts: Batman is ugly [PERIOD] Batman is enchanting [PERIOD] Batman is sensible [PERIOD] Batman is aggressive [PERIOD] Rules: fragile [IMPLY] diplomatic [PERIOD] alert [AND] aggressive [IMPLY] fragile [PERIOD] pleasant [AND] famous [AND] agreeable [IMPLY] helpless [PERIOD] alert [AND] selfish [AND] famous [IMPLY] dipl...
Proof chain: aggressive ⇒ muddy muddy ⇒ bad-tempered bad-tempered ⇒ selfish aggressive ⇒ muddy muddy ⇒ bad-tempered bad-tempered ⇒ fragile fragile ⇒ ugliest aggressive ∧ selfish ∧ ugliest ⇒ vivacious
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Facts: Batman is cooperative [PERIOD] Batman is rational [PERIOD] Rules: talkative [AND] tame [IMPLY] frantic [PERIOD] cooperative [AND] light [IMPLY] frail [PERIOD] rational [IMPLY] inexpensive [PERIOD] inexpensive [AND] cooperative [IMPLY] attractive [PERIOD] frantic [AND] tidy [AND] inexpensive [IMPLY] old-fashione...
Proof chain: rational ⇒ attractive rational ⇒ inexpensive inexpensive ⇒ pessimistic pessimistic ∧ cooperative ⇒ foolish rational ⇒ inexpensive inexpensive ⇒ old-fashioned old-fashioned ⇒ adorable attractive ∧ foolish ∧ adorable ⇒ light
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Facts: Batman is condemned [PERIOD] Batman is helpless [PERIOD] Rules: helpless [IMPLY] hilarious [PERIOD] ugly [AND] frantic [IMPLY] strange [PERIOD] strange [AND] helpless [AND] pessimistic [IMPLY] hilarious [PERIOD] pessimistic [AND] strange [IMPLY] frantic [PERIOD] pessimistic [AND] hilarious [AND] strange [IMPLY]...
Proof chain: Cannot apply rule “pessimistic ∧ strange ⇒ frantic” because missing: pessimistic, strange. helpless ⇒ hilarious Cannot apply rule “pessimistic ∧ hilarious ∧ strange ⇒ frantic” because missing: pessimistic, strange. Cannot apply rule “ugly ⇒ frantic” because missing: ugly. Cannot apply rule “...
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8
Facts: Batman is talented [PERIOD] Rules: exuberant [AND] comfortable [IMPLY] joyous [PERIOD] average [AND] popular [IMPLY] fearless [PERIOD] ugliest [AND] selfish [IMPLY] average [PERIOD] mean [AND] selfish [AND] fearless [IMPLY] popular [PERIOD] ugliest [IMPLY] joyous [PERIOD] talented [AND] messy [AND] exuberant [I...
Proof chain: talented ⇒ ugliest ugliest ⇒ joyous joyous ⇒ mean Cannot apply rule “mean ∧ selfish ∧ fearless ⇒ popular” because missing: selfish, fearless. talented ⇒ ugliest ugliest ⇒ joyous joyous ⇒ mean Cannot apply rule “average ∧ mean ∧ exuberant ⇒ popular” because missing: average, exuberan...
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8
Facts: Batman is busy [PERIOD] Batman is good [PERIOD] Batman is gleaming [PERIOD] Batman is elegant [PERIOD] Batman is glamorous [PERIOD] Rules: horrible [AND] naughty [AND] gleaming [IMPLY] diplomatic [PERIOD] sleepy [AND] good [IMPLY] agreeable [PERIOD] horrible [AND] homely [AND] serious [IMPLY] elegant [PERIOD] c...
Proof chain: gleaming ⇒ lucky lucky ⇒ loving loving ∧ busy ∧ good ⇒ naughty Cannot apply rule “horrible ∧ naughty ∧ gleaming ⇒ diplomatic” because missing: horrible. Cannot apply rule “anxious ∧ sleepy ⇒ diplomatic” because missing: anxious, sleepy. Cannot apply rule “clumsy ⇒ diplomatic” because miss...
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8
Facts: Batman is excited [PERIOD] Rules: hypocritical [AND] jittery [AND] talented [IMPLY] charming [PERIOD] charming [IMPLY] homely [PERIOD] careless [AND] fancy [AND] weary [IMPLY] rational [PERIOD] excited [AND] enchanting [IMPLY] tidy [PERIOD] different [IMPLY] plain [PERIOD] polite [AND] talented [IMPLY] differen...
Proof chain: excited ⇒ polite excited ⇒ talented polite ∧ talented ⇒ different different ⇒ plain excited ⇒ polite excited ⇒ talented polite ∧ talented ⇒ different plain ∧ different ⇒ homely
1
8
Facts: Batman is anxious [PERIOD] Batman is tame [PERIOD] Batman is talkative [PERIOD] Batman is muddy [PERIOD] Batman is tender [PERIOD] Batman is alert [PERIOD] Batman is uptight [PERIOD] Rules: muddy [IMPLY] joyous [PERIOD] gorgeous [AND] stupid [IMPLY] muddy [PERIOD] powerful [IMPLY] dull [PERIOD] uptight [IMPLY] ...
Proof chain: muddy ∧ talkative ⇒ fearless muddy ∧ talkative ⇒ fearless muddy ∧ fearless ∧ talkative ⇒ dull fearless ∧ dull ⇒ stupid anxious ∧ stupid ⇒ gorgeous muddy ⇒ powerful tender ∧ powerful ⇒ popular Cannot apply rule “loving ∧ gorgeous ∧ popular ⇒ frail” because missing: loving.
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8
Facts: Rules: anxious [IMPLY] cooperative [PERIOD] adorable [AND] versatile [AND] anxious [IMPLY] lonely [PERIOD] adorable [IMPLY] cooperative [PERIOD] famous [AND] charming [IMPLY] foolish [PERIOD] confident [AND] tame [AND] frightened [IMPLY] versatile [PERIOD] famous [AND] adorable [AND] frightened [IMPLY] foolish ...
Proof chain: Cannot apply rule “famous ∧ charming ⇒ foolish” because missing: famous, charming. Cannot apply rule “famous ∧ adorable ∧ frightened ⇒ foolish” because missing: famous, adorable, frightened. Cannot apply rule “frightened ⇒ foolish” because missing: frightened. Cannot apply rule “versatile ∧ lon...
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8
Facts: Batman is helpful [PERIOD] Batman is agreeable [PERIOD] Batman is polite [PERIOD] Batman is rude [PERIOD] Batman is clean [PERIOD] Batman is frightened [PERIOD] Batman is tired [PERIOD] Batman is charming [PERIOD] Rules: quaint [IMPLY] tame [PERIOD] adorable [AND] rational [IMPLY] anxious [PERIOD] amused [IMPLY...
Proof chain: polite ⇒ impatient charming ∧ impatient ⇒ ugly rude ⇒ quaint quaint ∧ tired ⇒ horrible rude ⇒ quaint quaint ⇒ tame horrible ∧ tame ⇒ amused ugly ∧ amused ∧ frightened ⇒ aggressive
1
8
Facts: Batman is plain [PERIOD] Batman is pessimistic [PERIOD] Batman is sincere [PERIOD] Batman is fearless [PERIOD] Batman is witty [PERIOD] Batman is sleepy [PERIOD] Batman is pleasant [PERIOD] Rules: sincere [AND] helpful [IMPLY] sleepy [PERIOD] pleasant [AND] courageous [IMPLY] powerful [PERIOD] glamorous [AND] e...
Proof chain: pessimistic ⇒ clean clean ∧ plain ∧ fearless ⇒ rude pessimistic ⇒ clean clean ∧ witty ⇒ comfortable fearless ⇒ tired sleepy ∧ comfortable ∧ tired ⇒ combative witty ∧ pessimistic ∧ combative ⇒ tame rude ∧ tame ⇒ agreeable
1
8
Facts: Batman is tense [PERIOD] Rules: frightened [AND] witty [AND] gleaming [IMPLY] bored [PERIOD] mean [AND] frightened [AND] serious [IMPLY] thoughtless [PERIOD] thoughtless [AND] tense [IMPLY] bored [PERIOD] gleaming [AND] thoughtless [AND] frightened [IMPLY] elegant [PERIOD] bored [IMPLY] tense [PERIOD] tense [IM...
Proof chain: tense ⇒ frightened Cannot apply rule “frightened ∧ witty ∧ tense ⇒ polite” because missing: witty. tense ⇒ serious Cannot apply rule “serious ∧ gleaming ⇒ polite” because missing: gleaming. tense ⇒ serious serious ⇒ mean tense ⇒ frightened Cannot apply rule “witty ∧ mean ∧ frightene...
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8
Facts: Batman is serious [PERIOD] Rules: silly [IMPLY] disgusted [PERIOD] jittery [AND] sincere [AND] serious [IMPLY] impatient [PERIOD] impatient [IMPLY] horrible [PERIOD] sincere [AND] old-fashioned [AND] serious [IMPLY] calm [PERIOD] hypocritical [IMPLY] horrible [PERIOD] horrible [AND] cruel [AND] elegant [IMPLY] ...
Proof chain: Cannot apply rule “horrible ∧ calm ⇒ old-fashioned” because missing: horrible, calm. Cannot apply rule “broad-minded ⇒ old-fashioned” because missing: broad-minded. Cannot apply rule “jittery ∧ serious ⇒ old-fashioned” because missing: jittery. Cannot apply rule “calm ∧ silly ∧ cruel ⇒ old-fash...
0
8
Facts: Batman is reserved [PERIOD] Rules: anxious [IMPLY] gleaming [PERIOD] anxious [AND] naughty [IMPLY] fragile [PERIOD] anxious [AND] versatile [IMPLY] gleaming [PERIOD] fragile [IMPLY] reserved [PERIOD] fragile [AND] distinct [IMPLY] outstanding [PERIOD] anxious [IMPLY] reserved [PERIOD] clean [IMPLY] distinct [PE...
Proof chain: reserved ⇒ gleaming reserved ⇒ gleaming gleaming ⇒ clean clean ⇒ bright reserved ⇒ gleaming gleaming ⇒ clean clean ⇒ distinct gleaming ∧ bright ∧ distinct ⇒ polite
1
8
Facts: Batman is famous [PERIOD] Batman is hurt [PERIOD] Batman is thoughtless [PERIOD] Batman is courageous [PERIOD] Rules: pleasant [IMPLY] famous [PERIOD] elated [IMPLY] condemned [PERIOD] famous [AND] mysterious [IMPLY] thoughtless [PERIOD] combative [AND] hurt [IMPLY] mysterious [PERIOD] mysterious [IMPLY] condem...
Proof chain: courageous ⇒ long thoughtless ⇒ condemned condemned ⇒ mysterious Cannot apply rule “long ∧ impatient ∧ mysterious ⇒ clumsy” because missing: impatient. Cannot apply rule “vivacious ∧ helpful ⇒ clumsy” because missing: vivacious, helpful. thoughtless ⇒ condemned condemned ⇒ mysterious ...
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8
Facts: Batman is impatient [PERIOD] Rules: wide-eyed [AND] outrageous [AND] sincere [IMPLY] impatient [PERIOD] sleepy [IMPLY] good [PERIOD] outstanding [IMPLY] sincere [PERIOD] impatient [AND] condemned [IMPLY] popular [PERIOD] gleaming [IMPLY] sleepy [PERIOD] popular [IMPLY] outstanding [PERIOD] outrageous [IMPLY] im...
Proof chain: impatient ⇒ outstanding outstanding ⇒ sincere impatient ⇒ outstanding outstanding ⇒ outrageous impatient ⇒ outstanding outstanding ⇒ outrageous outrageous ⇒ condemned sincere ∧ outrageous ∧ condemned ⇒ good
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Facts: Batman is curious [PERIOD] Batman is sleepy [PERIOD] Batman is perfect [PERIOD] Batman is bossy [PERIOD] Rules: different [IMPLY] thoughtless [PERIOD] glamorous [AND] careless [AND] different [IMPLY] selfish [PERIOD] glamorous [IMPLY] hurt [PERIOD] rational [AND] glamorous [IMPLY] hurt [PERIOD] elated [AND] ner...
Proof chain: Cannot apply rule “glamorous ∧ careless ∧ different ⇒ selfish” because missing: glamorous, careless, different. perfect ⇒ lucky lucky ∧ perfect ⇒ rational bossy ∧ rational ⇒ bright Cannot apply rule “elated ∧ bright ∧ perfect ⇒ selfish” because missing: elated. bossy ⇒ long Cannot appl...
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8
Facts: Batman is victorious [PERIOD] Batman is frightened [PERIOD] Rules: charming [AND] frightened [AND] spotless [IMPLY] embarrassed [PERIOD] witty [AND] average [AND] charming [IMPLY] spotless [PERIOD] helpless [AND] exuberant [IMPLY] polite [PERIOD] average [AND] shiny [AND] homely [IMPLY] innocent [PERIOD] precio...
Proof chain: Cannot apply rule “average ∧ polite ⇒ ugly” because missing: average, polite. Cannot apply rule “comfortable ∧ tired ∧ victorious ⇒ ugly” because missing: comfortable, tired. Cannot apply rule “agreeable ∧ polite ∧ victorious ⇒ ugly” because missing: agreeable, polite. Cannot apply rule “charmi...
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Facts: Batman is fearless [PERIOD] Batman is cruel [PERIOD] Batman is frantic [PERIOD] Batman is weary [PERIOD] Rules: long [AND] perfect [AND] talented [IMPLY] weary [PERIOD] lucky [AND] busy [AND] zealous [IMPLY] gleaming [PERIOD] lucky [AND] hypocritical [IMPLY] supportive [PERIOD] weary [AND] gleaming [AND] long [...
Proof chain: weary ⇒ busy weary ⇒ busy busy ⇒ gleaming gleaming ⇒ shiny busy ∧ shiny ⇒ perfect fearless ⇒ silly silly ∧ cruel ⇒ bored fearless ∧ perfect ∧ bored ⇒ zealous
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Facts: Batman is plain [PERIOD] Rules: tender [AND] different [IMPLY] powerful [PERIOD] stubborn [AND] glamorous [AND] confused [IMPLY] average [PERIOD] horrible [IMPLY] lonely [PERIOD] good [IMPLY] plain [PERIOD] different [AND] anxious [AND] confused [IMPLY] silly [PERIOD] lonely [AND] confused [AND] silly [IMPLY] c...
Proof chain: Cannot apply rule “proud ∧ jittery ⇒ glamorous” because missing: proud, jittery. Cannot apply rule “horrible ∧ average ⇒ glamorous” because missing: horrible, average. Cannot apply rule “horrible ⇒ glamorous” because missing: horrible. plain ⇒ different different ⇒ good good ⇒ stubborn ...
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Facts: Batman is wandering [PERIOD] Rules: crowded [AND] bright [IMPLY] frail [PERIOD] broad-minded [IMPLY] gleaming [PERIOD] bright [AND] reserved [IMPLY] combative [PERIOD] crowded [AND] stubborn [IMPLY] dull [PERIOD] agreeable [IMPLY] bright [PERIOD] clean [IMPLY] average [PERIOD] agreeable [AND] broad-minded [IMPL...
Proof chain: wandering ⇒ fragile fragile ⇒ tidy tidy ⇒ crowded Cannot apply rule “crowded ∧ stubborn ⇒ dull” because missing: stubborn. wandering ⇒ fragile fragile ∧ wandering ⇒ agreeable agreeable ⇒ bright Cannot apply rule “average ∧ proud ∧ bright ⇒ dull” because missing: average, proud.
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Facts: Batman is impatient [PERIOD] Rules: homely [IMPLY] gifted [PERIOD] curious [AND] bad-tempered [AND] careless [IMPLY] outrageous [PERIOD] gifted [AND] curious [AND] homely [IMPLY] cruel [PERIOD] careless [IMPLY] reserved [PERIOD] gifted [AND] cruel [AND] careless [IMPLY] impatient [PERIOD] curious [IMPLY] cruel ...
Proof chain: impatient ⇒ homely homely ⇒ gifted impatient ⇒ homely Cannot apply rule “gifted ∧ curious ∧ homely ⇒ cruel” because missing: curious. Cannot apply rule “curious ⇒ cruel” because missing: curious. impatient ⇒ reserved reserved ⇒ careless Cannot apply rule “frightened ∧ careless ⇒ cru...
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Facts: Rules: fine [AND] different [AND] cruel [IMPLY] troubled [PERIOD] fine [AND] cruel [IMPLY] troubled [PERIOD] stubborn [AND] cruel [AND] fine [IMPLY] troubled [PERIOD] fine [IMPLY] troubled [PERIOD] cruel [AND] different [AND] troubled [IMPLY] stubborn [PERIOD] troubled [AND] different [IMPLY] cruel [PERIOD] dif...
Proof chain: Cannot apply rule “fine ∧ different ∧ cruel ⇒ troubled” because missing: fine, different, cruel. Cannot apply rule “fine ∧ cruel ⇒ troubled” because missing: fine, cruel. Cannot apply rule “stubborn ∧ cruel ∧ fine ⇒ troubled” because missing: stubborn, cruel, fine. Cannot apply rule “fine ⇒ tro...
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Facts: Rules: condemned [AND] troubled [IMPLY] fearless [PERIOD] fearless [AND] wandering [AND] gleaming [IMPLY] condemned [PERIOD] vivacious [AND] reserved [AND] gifted [IMPLY] frail [PERIOD] rational [AND] vivacious [AND] reserved [IMPLY] tame [PERIOD] gifted [IMPLY] fearless [PERIOD] troubled [AND] cooperative [IMP...
Proof chain: Cannot apply rule “gifted ∧ hilarious ⇒ busy” because missing: gifted, hilarious. Cannot apply rule “rational ∧ gleaming ⇒ busy” because missing: rational, gleaming. Cannot apply rule “hilarious ⇒ busy” because missing: hilarious. Cannot apply rule “reserved ∧ gifted ⇒ busy” because missing: re...
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Facts: Batman is vivacious [PERIOD] Batman is glamorous [PERIOD] Rules: horrible [IMPLY] sincere [PERIOD] foolish [AND] horrible [AND] sincere [IMPLY] clumsy [PERIOD] confident [IMPLY] sincere [PERIOD] foolish [IMPLY] hurt [PERIOD] foolish [IMPLY] glamorous [PERIOD] helpful [AND] glamorous [AND] foolish [IMPLY] vivaci...
Proof chain: vivacious ⇒ hurt Cannot apply rule “hurt ∧ clumsy ∧ foolish ⇒ confident” because missing: clumsy, foolish. glamorous ⇒ hilarious Cannot apply rule “vivacious ∧ hilarious ∧ clumsy ⇒ confident” because missing: clumsy. glamorous ∧ vivacious ⇒ horrible horrible ⇒ sincere vivacious ⇒ hurt ...
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Facts: Batman is scared [PERIOD] Batman is perfect [PERIOD] Batman is sensible [PERIOD] Rules: worrisome [IMPLY] disobedient [PERIOD] confident [AND] adorable [AND] strange [IMPLY] uptight [PERIOD] pessimistic [IMPLY] perfect [PERIOD] scared [IMPLY] jittery [PERIOD] gorgeous [AND] confident [IMPLY] jittery [PERIOD] st...
Proof chain: scared ⇒ jittery perfect ⇒ sincere sincere ∧ scared ⇒ strange strange ⇒ cute cute ⇒ cooperative perfect ⇒ sincere sincere ⇒ worrisome jittery ∧ cooperative ∧ worrisome ⇒ frail
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Facts: Batman is alert [PERIOD] Rules: different [AND] bossy [IMPLY] alert [PERIOD] ugly [AND] busy [AND] comfortable [IMPLY] hypocritical [PERIOD] hypocritical [AND] bossy [AND] busy [IMPLY] naughty [PERIOD] fancy [IMPLY] alert [PERIOD] ugly [IMPLY] bossy [PERIOD] famous [AND] fancy [IMPLY] different [PERIOD] hypocri...
Proof chain: alert ⇒ naughty naughty ⇒ tender tender ⇒ different different ⇒ busy alert ⇒ naughty naughty ⇒ tender tender ⇒ bossy busy ∧ bossy ⇒ ugly
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Facts: Batman is unpleasant [PERIOD] Batman is elated [PERIOD] Batman is diplomatic [PERIOD] Rules: straightforward [AND] attractive [IMPLY] silly [PERIOD] impatient [IMPLY] muddy [PERIOD] bossy [AND] impatient [AND] adorable [IMPLY] ambitious [PERIOD] comfortable [AND] innocent [IMPLY] strange [PERIOD] busy [AND] sil...
Proof chain: elated ⇒ pessimistic Cannot apply rule “blushing ∧ pessimistic ⇒ victorious” because missing: blushing. Cannot apply rule “innocent ∧ bad-tempered ∧ comfortable ⇒ victorious” because missing: innocent, bad-tempered, comfortable. elated ⇒ pessimistic pessimistic ⇒ zealous zealous ⇒ helples...
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Facts: Batman is sensible [PERIOD] Batman is weary [PERIOD] Batman is different [PERIOD] Batman is pleasant [PERIOD] Batman is condemned [PERIOD] Rules: pleasant [AND] different [AND] weary [IMPLY] victorious [PERIOD] frail [AND] scared [AND] impartial [IMPLY] sensible [PERIOD] weary [AND] scared [IMPLY] victorious [P...
Proof chain: condemned ⇒ nervous condemned ⇒ clean nervous ∧ clean ∧ weary ⇒ scared scared ⇒ impartial condemned ⇒ nervous condemned ⇒ clean nervous ∧ clean ∧ weary ⇒ scared different ∧ impartial ∧ scared ⇒ frail
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Facts: Batman is frightened [PERIOD] Batman is naughty [PERIOD] Batman is bad-tempered [PERIOD] Batman is hilarious [PERIOD] Rules: pleasant [IMPLY] plain [PERIOD] pleasant [AND] aggressive [IMPLY] blushing [PERIOD] diplomatic [AND] plain [AND] hypocritical [IMPLY] blushing [PERIOD] scared [AND] homely [IMPLY] support...
Proof chain: bad-tempered ⇒ pleasant pleasant ⇒ plain bad-tempered ∧ plain ⇒ scared bad-tempered ⇒ pleasant pleasant ⇒ plain frightened ⇒ combative plain ∧ combative ⇒ aggressive Cannot apply rule “scared ∧ aggressive ∧ diplomatic ⇒ courageous” because missing: diplomatic.
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Facts: Batman is confused [PERIOD] Batman is curious [PERIOD] Batman is silly [PERIOD] Rules: courageous [IMPLY] anxious [PERIOD] plain [AND] bossy [AND] ugly [IMPLY] cruel [PERIOD] charming [AND] amused [IMPLY] tired [PERIOD] plain [IMPLY] curious [PERIOD] wrong [IMPLY] cruel [PERIOD] joyous [AND] tired [AND] ugly [I...
Proof chain: Cannot apply rule “plain ∧ bossy ∧ ugly ⇒ cruel” because missing: plain, bossy, ugly. Cannot apply rule “wrong ⇒ cruel” because missing: wrong. confused ⇒ joyous joyous ⇒ courageous courageous ⇒ anxious Cannot apply rule “enchanting ∧ anxious ⇒ cruel” because missing: enchanting. confu...
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Facts: Batman is shy [PERIOD] Batman is tender [PERIOD] Batman is wide-eyed [PERIOD] Batman is aggressive [PERIOD] Rules: wide-eyed [IMPLY] talkative [PERIOD] comfortable [AND] gleaming [IMPLY] aggressive [PERIOD] gleaming [AND] wide-eyed [IMPLY] aggressive [PERIOD] comfortable [AND] aggressive [IMPLY] shy [PERIOD] ta...
Proof chain: Cannot apply rule “disgusted ∧ aggressive ∧ shy ⇒ nervous” because missing: disgusted. wide-eyed ⇒ talkative wide-eyed ⇒ talkative shy ∧ tender ∧ talkative ⇒ frantic Cannot apply rule “talkative ∧ frantic ∧ smart ⇒ nervous” because missing: smart. wide-eyed ⇒ talkative shy ∧ tender ∧ t...
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Facts: Batman is broad-minded [PERIOD] Rules: careless [IMPLY] tired [PERIOD] straightforward [IMPLY] old-fashioned [PERIOD] careless [AND] gifted [AND] nervous [IMPLY] thoughtless [PERIOD] old-fashioned [AND] careless [AND] gifted [IMPLY] broad-minded [PERIOD] distinct [AND] tired [IMPLY] broad-minded [PERIOD] distin...
Proof chain: Cannot apply rule “broad-minded ∧ gifted ∧ careless ⇒ distinct” because missing: gifted, careless. Cannot apply rule “gifted ⇒ distinct” because missing: gifted. Cannot apply rule “tired ∧ careless ⇒ distinct” because missing: tired, careless. broad-minded ⇒ old-fashioned Cannot apply rule “...
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Facts: Batman is zealous [PERIOD] Batman is agreeable [PERIOD] Batman is frail [PERIOD] Batman is good [PERIOD] Batman is horrible [PERIOD] Batman is fine [PERIOD] Batman is stupid [PERIOD] Batman is talkative [PERIOD] Rules: difficult [AND] tired [IMPLY] horrible [PERIOD] talkative [AND] difficult [AND] pessimistic [...
Proof chain: horrible ⇒ mean mean ⇒ blushing blushing ⇒ difficult difficult ∧ agreeable ⇒ rude horrible ⇒ mean mean ⇒ blushing blushing ⇒ difficult rude ∧ difficult ∧ stupid ⇒ reserved
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