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&j) | (((c|c)|((c|e)>c))>(e|(j&e))) | 1 | 0 | 0 | 0 | entailment |
(j&c) | (((c|c)|((c|e)>c))>(e|(j&e))) | 0 | 0 | 0 | 0 | not entailment |
(e&j) | ((j>j)&(c|((~((c|j))&(j>(c|c)))|~(j)))) | 0 | 0 | 0 | 0 | not entailment |
(c&~(~((~((~(~(e))&j))|l)))) | (c&((((c|~(l))|(e|l))|~((e|j)))|c)) | 1 | 0 | 1 | 0 | entailment |
~(~(~(~((~(((e&(e|l))>c))|e))))) | ((e>((e|(c>e))&((j&e)|c)))>(~((e|j))>e)) | 1 | 0 | 0 | 0 | entailment |
(c&~(~((~((~(~(e))&j))|l)))) | ((e>((e|(c>e))&((j&e)|c)))>(~((e|j))>e)) | 0 | 0 | 1 | 0 | not entailment |
~(~(~(~((~(((e&(e|l))>c))|e))))) | (c&((((c|~(l))|(e|l))|~((e|j)))|c)) | 0 | 1 | 0 | 0 | not entailment |
~(~((e&(e|(l&l))))) | ~((~((~(c)>e))&(j|j))) | 1 | 0 | 0 | 0 | entailment |
~(~(l)) | (~(l)>(l|~(e))) | 1 | 0 | 0 | 0 | entailment |
~(~((e&(e|(l&l))))) | (~(l)>(l|~(e))) | 0 | 1 | 1 | 0 | not entailment |
~(~(l)) | ~((~((~(c)>e))&(j|j))) | 0 | 0 | 0 | 0 | not entailment |
((l>j)>e) | (l|e) | 1 | 1 | 1 | 1 | entailment |
(~(((e&(l>l))|~(c)))&c) | ~(~((c|e))) | 1 | 1 | 1 | 0 | entailment |
((l>j)>e) | ~(~((c|e))) | 0 | 0 | 0 | 0 | not entailment |
(~(((e&(l>l))|~(c)))&c) | (l|e) | 0 | 1 | 1 | 0 | not entailment |
((c&l)&l) | (l|~((((j>(j&j))&e)&(e|(c&j))))) | 1 | 0 | 0 | 0 | entailment |
((j&(j>c))&(c|l)) | (j&c) | 1 | 1 | 1 | 1 | entailment |
((c&l)&l) | (j&c) | 0 | 1 | 0 | 0 | not entailment |
((j&(j>c))&(c|l)) | (l|~((((j>(j&j))&e)&(e|(c&j))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((l>e))))>((j>j)&(e&(j|c)))) | (l>e) | 1 | 1 | 1 | 1 | entailment |
~(((e|(c|((l|c)|(l>e))))>((e|l)>(l>c)))) | ((l|~(l))>(l>~(c))) | 1 | 1 | 1 | 1 | entailment |
(~(~(~((l>e))))>((j>j)&(e&(j|c)))) | ((l|~(l))>(l>~(c))) | 0 | 1 | 1 | 0 | not entailment |
~(((e|(c|((l|c)|(l>e))))>((e|l)>(l>c)))) | (l>e) | 0 | 1 | 1 | 1 | not entailment |
~(((e>c)>(l|j))) | (~(l)&~(l)) | 1 | 1 | 1 | 1 | entailment |
((j>j)&j) | ((~(l)>(c|(c&l)))|((l|j)|l)) | 1 | 0 | 0 | 0 | entailment |
~(((e>c)>(l|j))) | ((~(l)>(c|(c&l)))|((l|j)|l)) | 0 | 0 | 1 | 0 | not entailment |
((j>j)&j) | (~(l)&~(l)) | 0 | 0 | 0 | 0 | not entailment |
((l&(f&l))&((l>f)&((f|(f|f))|l))) | (f|l) | 1 | 1 | 1 | 1 | entailment |
(~(l)&~(((f&l)&l))) | ~((l&(f|~(((l&f)&(f&(l|l))))))) | 1 | 0 | 1 | 0 | entailment |
((l&(f&l))&((l>f)&((f|(f|f))|l))) | ~((l&(f|~(((l&f)&(f&(l|l))))))) | 0 | 1 | 1 | 0 | not entailment |
(~(l)&~(((f&l)&l))) | (f|l) | 0 | 1 | 1 | 0 | not entailment |
~((f|(l>f))) | (l&(~((f&f))|~(~(((f&~(l))>l))))) | 1 | 0 | 1 | 1 | entailment |
~(~(((f|l)&(l>((f&f)&~(f)))))) | ((f>f)>f) | 1 | 1 | 1 | 1 | entailment |
~((f|(l>f))) | ((f>f)>f) | 0 | 1 | 1 | 0 | not entailment |
~(~(((f|l)&(l>((f&f)&~(f)))))) | (l&(~((f&f))|~(~(((f&~(l))>l))))) | 0 | 0 | 1 | 1 | not entailment |
(f&(~(((~(l)&l)>l))|~((f>l)))) | ((l&l)|((l|f)|(f|f))) | 1 | 1 | 1 | 1 | entailment |
((f&f)>~((~(f)|((f&f)&(f|~(l)))))) | ((l>~((f>l)))>~((f|f))) | 1 | 1 | 1 | 1 | entailment |
(f&(~(((~(l)&l)>l))|~((f>l)))) | ((l>~((f>l)))>~((f|f))) | 0 | 1 | 1 | 0 | not entailment |
((f&f)>~((~(f)|((f&f)&(f|~(l)))))) | ((l&l)|((l|f)|(f|f))) | 0 | 1 | 1 | 1 | not entailment |
((((f&l)|l)>~(((f|f)&f)))&l) | ~(((f&(f|~(l)))&(l&l))) | 1 | 1 | 1 | 1 | entailment |
((l&((f|l)>(l|f)))&(f&l)) | (((l>~(l))|f)&((f|f)&l)) | 1 | 1 | 1 | 1 | entailment |
((((f&l)|l)>~(((f|f)&f)))&l) | (((l>~(l))|f)&((f|f)&l)) | 0 | 1 | 1 | 0 | not entailment |
((l&((f|l)>(l|f)))&(f&l)) | ~(((f&(f|~(l)))&(l&l))) | 0 | 1 | 1 | 1 | not entailment |
(~((l&(l&~(l))))>~(~(~((f>(l&f)))))) | ((l|l)|f) | 1 | 1 | 1 | 1 | entailment |
~(f) | ((((f>f)|~(f))|((f|(f>l))|~(l)))>~(f)) | 1 | 0 | 0 | 0 | entailment |
(~((l&(l&~(l))))>~(~(~((f>(l&f)))))) | ((((f>f)|~(f))|((f|(f>l))|~(l)))>~(f)) | 0 | 1 | 1 | 1 | not entailment |
~(f) | ((l|l)|f) | 0 | 0 | 0 | 0 | not entailment |
(l&l) | ~(~((f>l))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((~(l)>(l|l))>l)))&(f&(l|f))) | ((f&l)|(((~((f|l))&l)&(f>(l&l)))|f)) | 1 | 1 | 1 | 0 | entailment |
(l&l) | ((f&l)|(((~((f|l))&l)&(f>(l&l)))|f)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((~(l)>(l|l))>l)))&(f&(l|f))) | ~(~((f>l))) | 0 | 1 | 1 | 0 | not entailment |
(((l|f)>(f>f))&l) | ((((f&f)&(f|~((f|l))))|l)>l) | 1 | 0 | 1 | 1 | entailment |
~((f>((f|l)&l))) | ((l>f)|f) | 1 | 1 | 1 | 1 | entailment |
(((l|f)>(f>f))&l) | ((l>f)|f) | 0 | 1 | 1 | 1 | not entailment |
~((f>((f|l)&l))) | ((((f&f)&(f|~((f|l))))|l)>l) | 0 | 0 | 1 | 0 | not entailment |
~((((l|f)>l)>(f|l))) | (~((~((l&(f|f)))&l))|f) | 1 | 0 | 1 | 0 | entailment |
~(((l>f)&(f>f))) | ((l&l)|(~((f|l))>f)) | 1 | 0 | 1 | 1 | entailment |
~((((l|f)>l)>(f|l))) | ((l&l)|(~((f|l))>f)) | 0 | 1 | 1 | 0 | not entailment |
~(((l>f)&(f>f))) | (~((~((l&(f|f)))&l))|f) | 0 | 0 | 1 | 0 | not entailment |
(f&((f>l)&(f&l))) | (f>l) | 1 | 1 | 1 | 1 | entailment |
(~(((f|(f|f))>(f>l)))&((~(f)>l)&(f|f))) | ~(((l|(l|(f&l)))|(f>l))) | 1 | 1 | 1 | 0 | entailment |
(f&((f>l)&(f&l))) | ~(((l|(l|(f&l)))|(f>l))) | 0 | 0 | 1 | 0 | not entailment |
(~(((f|(f|f))>(f>l)))&((~(f)>l)&(f|f))) | (f>l) | 0 | 1 | 1 | 0 | not entailment |
~(((((u>k)&~(p))|v)&((z>(p>z))|v))) | ((~(i)|(v>~(d)))&((v&v)>s)) | 1 | 1 | 0 | 0 | entailment |
(~(~((v|(k|s))))&(((z&d)&u)&((d>s)|v))) | (~(u)>((i>z)>k)) | 1 | 1 | 0 | 0 | entailment |
~(((((u>k)&~(p))|v)&((z>(p>z))|v))) | (~(u)>((i>z)>k)) | 0 | 1 | 0 | 0 | not entailment |
(~(~((v|(k|s))))&(((z&d)&u)&((d>s)|v))) | ((~(i)|(v>~(d)))&((v&v)>s)) | 0 | 1 | 0 | 0 | not entailment |
(k&z) | (~(~((k|z)))>z) | 1 | 0 | 1 | 0 | entailment |
((~(p)>u)&((z|i)&(((u>u)>d)&(u>v)))) | ~(~((~(~(((u>s)>(~(z)|~(s)))))>d))) | 1 | 0 | 0 | 0 | entailment |
(k&z) | ~(~((~(~(((u>s)>(~(z)|~(s)))))>d))) | 0 | 0 | 0 | 0 | not entailment |
((~(p)>u)&((z|i)&(((u>u)>d)&(u>v)))) | (~(~((k|z)))>z) | 0 | 1 | 0 | 0 | not entailment |
(((u|u)>(s>k))&~((k>v))) | ((z>k)>(~(~((~(k)>(u&p))))|((z|p)|v))) | 1 | 0 | 0 | 0 | entailment |
(~(v)&(~(u)>z)) | ((d|z)|u) | 1 | 1 | 0 | 0 | entailment |
(((u|u)>(s>k))&~((k>v))) | ((d|z)|u) | 0 | 1 | 0 | 0 | not entailment |
(~(v)&(~(u)>z)) | ((z>k)>(~(~((~(k)>(u&p))))|((z|p)|v))) | 0 | 0 | 0 | 0 | not entailment |
(~((i>(s&s)))&(p&(k&z))) | ~((((((i&p)|i)&((i|d)>z))>(p|s))&(s&k))) | 1 | 0 | 0 | 0 | entailment |
(((((v|v)&(v>k))|~(u))&d)&u) | (u&(((k>i)>z)|d)) | 1 | 1 | 0 | 0 | entailment |
(~((i>(s&s)))&(p&(k&z))) | (u&(((k>i)>z)|d)) | 0 | 1 | 0 | 0 | not entailment |
(((((v|v)&(v>k))|~(u))&d)&u) | ~((((((i&p)|i)&((i|d)>z))>(p|s))&(s&k))) | 0 | 0 | 0 | 0 | not entailment |
(((s>~(d))|p)&u) | ((~(~((s&d)))|(d|~((s&(z>p)))))>(k|u)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((k>(v>(s>k)))>s)))) | ((k|(s&(z&s)))>(((u|k)|z)>(~(u)|k))) | 1 | 0 | 0 | 0 | entailment |
(((s>~(d))|p)&u) | ((k|(s&(z&s)))>(((u|k)|z)>(~(u)|k))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((k>(v>(s>k)))>s)))) | ((~(~((s&d)))|(d|~((s&(z>p)))))>(k|u)) | 0 | 0 | 0 | 0 | not entailment |
~((~((v|u))>~(~((k|d))))) | ((k>d)|(~((~(p)&p))&(((i&z)>z)&~(v)))) | 1 | 0 | 0 | 0 | entailment |
(((k&k)&z)&((v&v)>u)) | (((~((s|v))>z)|i)|~((s>u))) | 1 | 0 | 0 | 0 | entailment |
~((~((v|u))>~(~((k|d))))) | (((~((s|v))>z)|i)|~((s>u))) | 0 | 1 | 0 | 0 | not entailment |
(((k&k)&z)&((v&v)>u)) | ((k>d)|(~((~(p)&p))&(((i&z)>z)&~(v)))) | 0 | 0 | 0 | 0 | not entailment |
~((((k&p)>i)|((p|~(((i|u)&d)))>~(s)))) | (~(((s>v)&d))|~((d>i))) | 1 | 1 | 0 | 0 | entailment |
((v&i)&((z|(i&s))>((p>(v&s))|p))) | ((p>~(~((k&z))))|i) | 1 | 1 | 0 | 0 | entailment |
~((((k&p)>i)|((p|~(((i|u)&d)))>~(s)))) | ((p>~(~((k&z))))|i) | 0 | 1 | 0 | 0 | not entailment |
((v&i)&((z|(i&s))>((p>(v&s))|p))) | (~(((s>v)&d))|~((d>i))) | 0 | 1 | 0 | 0 | not entailment |
((z&(p&k))&((z>u)|~((k>(z&s))))) | (~(((z>v)&~(~(((s&i)&~(p))))))>(d>k)) | 1 | 0 | 0 | 0 | entailment |
(~(((p|k)|s))&((s&d)|(k>(s|u)))) | ((k>~(v))|(u&~((z>d)))) | 1 | 1 | 0 | 0 | entailment |
((z&(p&k))&((z>u)|~((k>(z&s))))) | ((k>~(v))|(u&~((z>d)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((p|k)|s))&((s&d)|(k>(s|u)))) | (~(((z>v)&~(~(((s&i)&~(p))))))>(d>k)) | 0 | 0 | 0 | 0 | not entailment |
((~(v)>~(v))&(~((d>(~(s)&i)))&p)) | ~(~((k|((p|(d&(i&i)))|(u>(u&d)))))) | 1 | 1 | 0 | 0 | entailment |
((v|(s&p))&(((i|~(u))&v)&(~(d)|(s&k)))) | ((v|(k&z))|(s>k)) | 1 | 1 | 0 | 0 | entailment |
((~(v)>~(v))&(~((d>(~(s)&i)))&p)) | ((v|(k&z))|(s>k)) | 0 | 1 | 0 | 0 | not entailment |
((v|(s&p))&(((i|~(u))&v)&(~(d)|(s&k)))) | ~(~((k|((p|(d&(i&i)))|(u>(u&d)))))) | 0 | 1 | 1 | 0 | not entailment |
(~(p)&(p|(d&d))) | (((k|v)|(d|p))|(u|((s&(s|k))|s))) | 1 | 0 | 0 | 0 | entailment |
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