A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
(~((e>b))&r) | ~((~(b)&p)) | 0 | 1 | 0 | 0 | not entailment |
~(((e|(b>e))|e)) | (~(~((b>~(r))))|(~((f>((u|e)&f)))|p)) | 0 | 0 | 0 | 0 | not entailment |
(f&~(e)) | (p|f) | 1 | 1 | 0 | 0 | entailment |
((e|b)&~((f|b))) | ((p|e)>((p|p)>e)) | 1 | 1 | 0 | 0 | entailment |
(f&~(e)) | ((p|e)>((p|p)>e)) | 0 | 0 | 0 | 0 | not entailment |
((e|b)&~((f|b))) | (p|f) | 0 | 1 | 0 | 0 | not entailment |
(e&(f&(b|e))) | ((u&u)|(~(u)&f)) | 1 | 0 | 0 | 0 | entailment |
~((u|(e&(b>p)))) | ((u&f)>((~((f&(p|r)))&p)|(u&b))) | 1 | 0 | 0 | 0 | entailment |
(e&(f&(b|e))) | ((u&f)>((~((f&(p|r)))&p)|(u&b))) | 0 | 0 | 0 | 0 | not entailment |
~((u|(e&(b>p)))) | ((u&u)|(~(u)&f)) | 0 | 1 | 0 | 0 | not entailment |
((b|b)|((r>r)>r)) | (u|(~(u)&((r|f)|b))) | 1 | 0 | 0 | 0 | entailment |
~((p|(r|r))) | (~((((p>b)|p)&r))|(((u>e)&(u|p))&(p>e))) | 1 | 0 | 0 | 0 | entailment |
((b|b)|((r>r)>r)) | (~((((p>b)|p)&r))|(((u>e)&(u|p))&(p>e))) | 0 | 0 | 0 | 0 | not entailment |
~((p|(r|r))) | (u|(~(u)&((r|f)|b))) | 0 | 0 | 0 | 0 | not entailment |
~(((f|u)>b)) | ~(~(~(b))) | 1 | 1 | 1 | 1 | entailment |
(((b>u)&r)&(r&u)) | ((e>f)>(u&u)) | 1 | 1 | 0 | 0 | entailment |
~(((f|u)>b)) | ((e>f)>(u&u)) | 0 | 1 | 0 | 0 | not entailment |
(((b>u)&r)&(r&u)) | ~(~(~(b))) | 0 | 1 | 1 | 1 | not entailment |
(f&(b>~(((p>p)|(f&b))))) | ~(((b&(b|u))&e)) | 1 | 1 | 0 | 0 | entailment |
(f&b) | (((~(u)>u)&(f&p))|((e>f)>b)) | 1 | 0 | 0 | 0 | entailment |
(f&(b>~(((p>p)|(f&b))))) | (((~(u)>u)&(f&p))|((e>f)>b)) | 0 | 0 | 0 | 0 | not entailment |
(f&b) | ~(((b&(b|u))&e)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(k)&(t&t))>k)&(u>f))) | ((((~(f)>(f>u))>k)&((k>t)>k))|((t|u)|k)) | 1 | 0 | 1 | 0 | entailment |
(~((~(f)&~(f)))|f) | ~(~((~(f)>u))) | 1 | 1 | 0 | 0 | entailment |
~((((~(k)&(t&t))>k)&(u>f))) | ~(~((~(f)>u))) | 0 | 1 | 1 | 0 | not entailment |
(~((~(f)&~(f)))|f) | ((((~(f)>(f>u))>k)&((k>t)>k))|((t|u)|k)) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&(f>(f|((k|f)&t)))) | (t>(((f|((t|t)&u))>f)|(u&(k&f)))) | 1 | 0 | 0 | 0 | entailment |
~((k>~(((k>~(f))>~(~(t)))))) | (~(~(k))|(~(k)>~(f))) | 1 | 1 | 1 | 0 | entailment |
(~(t)&(f>(f|((k|f)&t)))) | (~(~(k))|(~(k)>~(f))) | 0 | 1 | 1 | 1 | not entailment |
~((k>~(((k>~(f))>~(~(t)))))) | (t>(((f|((t|t)&u))>f)|(u&(k&f)))) | 0 | 1 | 0 | 0 | not entailment |
((f>u)&~(((u|f)>t))) | (t>u) | 1 | 1 | 1 | 1 | entailment |
(((k>f)>f)&~(u)) | (((u|u)&k)>f) | 1 | 1 | 1 | 0 | entailment |
((f>u)&~(((u|f)>t))) | (((u|u)&k)>f) | 0 | 1 | 0 | 0 | not entailment |
(((k>f)>f)&~(u)) | (t>u) | 0 | 1 | 0 | 0 | not entailment |
~((~((u>t))>(f|(k|~(u))))) | (t>((((t&f)&(k&f))&k)&~((u>~((u|u)))))) | 1 | 0 | 1 | 0 | entailment |
(f&(k>k)) | (u>f) | 1 | 1 | 0 | 0 | entailment |
~((~((u>t))>(f|(k|~(u))))) | (u>f) | 0 | 1 | 1 | 0 | not entailment |
(f&(k>k)) | (t>((((t&f)&(k&f))&k)&~((u>~((u|u)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((u>(u&(t>k))))|f) | ((t>u)|(~(u)>f)) | 1 | 1 | 1 | 0 | entailment |
(t&t) | ((t|k)|(~((u&f))&f)) | 1 | 0 | 0 | 0 | entailment |
(~((u>(u&(t>k))))|f) | ((t|k)|(~((u&f))&f)) | 0 | 1 | 1 | 0 | not entailment |
(t&t) | ((t>u)|(~(u)>f)) | 0 | 0 | 0 | 0 | not entailment |
(k&((k>(k|~(u)))>u)) | (((f&f)>u)&(k|t)) | 1 | 1 | 0 | 0 | entailment |
((f|f)&k) | (((f|f)&f)|t) | 1 | 0 | 0 | 0 | entailment |
(k&((k>(k|~(u)))>u)) | (((f|f)&f)|t) | 0 | 1 | 0 | 0 | not entailment |
((f|f)&k) | (((f&f)>u)&(k|t)) | 0 | 0 | 0 | 0 | not entailment |
(~(((k|~(t))>~((t&u))))&((k|f)>(t&f))) | (k&t) | 1 | 1 | 1 | 1 | entailment |
(~(((u>k)|~(t)))&(u|(k>u))) | (~(((t>u)>(t&t)))|~((t&(k&k)))) | 1 | 0 | 1 | 0 | entailment |
(~(((k|~(t))>~((t&u))))&((k|f)>(t&f))) | (~(((t>u)>(t&t)))|~((t&(k&k)))) | 0 | 1 | 1 | 1 | not entailment |
(~(((u>k)|~(t)))&(u|(k>u))) | (k&t) | 0 | 1 | 1 | 0 | not entailment |
(k&((f&t)|u)) | ((k|k)&(u|(f&k))) | 1 | 0 | 1 | 1 | entailment |
~((((f&f)>((f|k)&(u>t)))&(t&(k&(t>t))))) | ~(~((((u>u)>u)>(((u>k)&t)>f)))) | 1 | 1 | 1 | 0 | entailment |
(k&((f&t)|u)) | ~(~((((u>u)>u)>(((u>k)&t)>f)))) | 0 | 0 | 1 | 0 | not entailment |
~((((f&f)>((f|k)&(u>t)))&(t&(k&(t>t))))) | ((k|k)&(u|(f&k))) | 0 | 1 | 1 | 0 | not entailment |
~(((f>t)|((f>u)&(f&(t|f))))) | (~(~((((f|t)&u)>k)))&f) | 1 | 1 | 0 | 0 | entailment |
(((~((t&(k>u)))>f)|k)&u) | (((f|f)>(u&u))|(k&t)) | 1 | 1 | 1 | 0 | entailment |
~(((f>t)|((f>u)&(f&(t|f))))) | (((f|f)>(u&u))|(k&t)) | 0 | 1 | 0 | 0 | not entailment |
(((~((t&(k>u)))>f)|k)&u) | (~(~((((f|t)&u)>k)))&f) | 0 | 1 | 1 | 0 | not entailment |
(t>f) | ((f|f)|((~(t)|f)|(~((f>t))&u))) | 1 | 0 | 0 | 0 | entailment |
((~(f)>~(((f&u)&f)))&k) | (k|(u|u)) | 1 | 1 | 1 | 0 | entailment |
(t>f) | (k|(u|u)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)>~(((f&u)&f)))&k) | ((f|f)|((~(t)|f)|(~((f>t))&u))) | 0 | 0 | 0 | 0 | not entailment |
(f&u) | (((t&k)&k)>(~(k)|u)) | 1 | 0 | 0 | 0 | entailment |
((t|t)&((f|u)|~(~((f|~((u>u))))))) | ((t|(u>k))|(f>t)) | 1 | 1 | 0 | 0 | entailment |
(f&u) | ((t|(u>k))|(f>t)) | 0 | 0 | 0 | 0 | not entailment |
((t|t)&((f|u)|~(~((f|~((u>u))))))) | (((t&k)&k)>(~(k)|u)) | 0 | 1 | 0 | 0 | not entailment |
(~((u>(f>u)))|~(t)) | ~((((f>f)>(((u&(k&t))&f)&t))|t)) | 1 | 0 | 0 | 0 | entailment |
((((f>(t>k))&~(((f>u)>k)))|~((t&k)))&u) | ((u&((t&k)>((t>u)&u)))&u) | 1 | 1 | 1 | 1 | entailment |
(~((u>(f>u)))|~(t)) | ((u&((t&k)>((t>u)&u)))&u) | 0 | 0 | 0 | 0 | not entailment |
((((f>(t>k))&~(((f>u)>k)))|~((t&k)))&u) | ~((((f>f)>(((u&(k&t))&f)&t))|t)) | 0 | 1 | 1 | 0 | not entailment |
~((~(t)>(k|k))) | ((t|(((k|t)&(f&f))|k))>~(((f|f)&u))) | 1 | 0 | 0 | 0 | entailment |
((f>f)&f) | (~((f>k))|k) | 1 | 0 | 0 | 0 | entailment |
~((~(t)>(k|k))) | (~((f>k))|k) | 0 | 1 | 0 | 0 | not entailment |
((f>f)&f) | ((t|(((k|t)&(f&f))|k))>~(((f|f)&u))) | 0 | 0 | 0 | 0 | not entailment |
(u&((~(u)>u)&k)) | ((t&k)>(k>u)) | 1 | 1 | 0 | 0 | entailment |
(k>(t|(f&~(k)))) | ~((k&~((~(~(k))>(k&(~((f&t))>t)))))) | 1 | 0 | 1 | 0 | entailment |
(u&((~(u)>u)&k)) | ~((k&~((~(~(k))>(k&(~((f&t))>t)))))) | 0 | 0 | 0 | 0 | not entailment |
(k>(t|(f&~(k)))) | ((t&k)>(k>u)) | 0 | 1 | 0 | 0 | not entailment |
~((((f>t)&(k&u))|(~(~(f))>(f&t)))) | ((k|u)|((u>(f>f))&f)) | 1 | 1 | 1 | 0 | entailment |
~((~(~((t&(k&k))))|(f&f))) | (f>(u&f)) | 1 | 1 | 0 | 0 | entailment |
~((((f>t)&(k&u))|(~(~(f))>(f&t)))) | (f>(u&f)) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((t&(k&k))))|(f&f))) | ((k|u)|((u>(f>f))&f)) | 0 | 1 | 0 | 0 | not entailment |
(u|t) | (k|~(~(((t|f)|(u|f))))) | 1 | 0 | 0 | 0 | entailment |
(k>~(((k|(t>t))&(f|t)))) | ~(~(((k&t)>(u|f)))) | 1 | 1 | 0 | 0 | entailment |
(u|t) | ~(~(((k&t)>(u|f)))) | 0 | 0 | 0 | 0 | not entailment |
(k>~(((k|(t>t))&(f|t)))) | (k|~(~(((t|f)|(u|f))))) | 0 | 1 | 0 | 0 | not entailment |
(~((u|(o>b)))&(b>(b>j))) | (b>(b>e)) | 1 | 1 | 0 | 0 | entailment |
(j&~(((u>v)|((u&o)|v)))) | (u&((e>b)>(j&(u&(v|j))))) | 1 | 1 | 0 | 0 | entailment |
(~((u|(o>b)))&(b>(b>j))) | (u&((e>b)>(j&(u&(v|j))))) | 0 | 1 | 0 | 0 | not entailment |
(j&~(((u>v)|((u&o)|v)))) | (b>(b>e)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(e))|(((((o|u)|u)|v)|(o|v))>b))) | (((o&e)>(j&(u&o)))|(b&~((v|j)))) | 1 | 1 | 0 | 0 | entailment |
(b&(u&v)) | (((b&(e>v))>o)>v) | 1 | 0 | 0 | 0 | entailment |
~((~(~(e))|(((((o|u)|u)|v)|(o|v))>b))) | (((b&(e>v))>o)>v) | 0 | 1 | 1 | 0 | not entailment |
(b&(u&v)) | (((o&e)>(j&(u&o)))|(b&~((v|j)))) | 0 | 0 | 0 | 0 | not entailment |
~((b|((v>j)|j))) | (e>v) | 1 | 1 | 0 | 0 | entailment |
(((o>u)&(j|j))&(b&j)) | (~((u>~(v)))|(j&((b&b)|v))) | 1 | 0 | 0 | 0 | entailment |
~((b|((v>j)|j))) | (~((u>~(v)))|(j&((b&b)|v))) | 0 | 0 | 0 | 0 | not entailment |
(((o>u)&(j|j))&(b&j)) | (e>v) | 0 | 1 | 0 | 0 | not entailment |
(~(e)&o) | (b|o) | 1 | 1 | 0 | 0 | entailment |
(((j&(u|o))&((b|u)>v))&(e|u)) | (v>((v|(v&v))&(j&((e|j)&v)))) | 1 | 1 | 1 | 0 | entailment |
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