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
~((n>h))
~((h&b))
1
1
0
0
entailment
((n|b)>((~(((b|k)>b))>b)>~((j&n))))
~((h&b))
0
1
0
0
not entailment
~((n>h))
((k&((j&b)&n))>f)
0
0
0
0
not entailment
(e&~(~(((v&e)&(l&d)))))
~((((d>v)>((l>v)>(e>l)))&~((v|d))))
1
0
1
0
entailment
~(v)
~((((l|l)&v)&((v&v)&e)))
1
0
0
0
entailment
(e&~(~(((v&e)&(l&d)))))
~((((l|l)&v)&((v&v)&e)))
0
1
1
0
not entailment
~(v)
~((((d>v)>((l>v)>(e>l)))&~((v|d))))
0
0
0
0
not entailment
~((~(((~(((n|n)>d))>(e&n))&l))>~(e)))
(v|(l>~(~(~(d)))))
1
1
0
0
entailment
((~(n)|(n|l))&~((e>(v|(~(n)&l)))))
~(v)
1
1
1
1
entailment
~((~(((~(((n|n)>d))>(e&n))&l))>~(e)))
~(v)
0
1
0
0
not entailment
((~(n)|(n|l))&~((e>(v|(~(n)&l)))))
(v|(l>~(~(~(d)))))
0
1
0
0
not entailment
~(~((((d&n)|d)&(e&((n|(v&v))|(d>d))))))
((e>d)&(~(n)|((l|n)>e)))
1
1
0
0
entailment
(~(n)|v)
(e>(n>(~((n&(d&l)))>v)))
1
0
0
0
entailment
~(~((((d&n)|d)&(e&((n|(v&v))|(d>d))))))
(e>(n>(~((n&(d&l)))>v)))
0
1
0
0
not entailment
(~(n)|v)
((e>d)&(~(n)|((l|n)>e)))
0
0
0
0
not entailment
(v&(e&(v>v)))
((~((d|d))>~((v>(n>d))))|(e|e))
1
0
0
0
entailment
~((((((d|e)>d)>n)|l)&((n|n)>n)))
~(n)
1
1
1
1
entailment
(v&(e&(v>v)))
~(n)
0
1
0
0
not entailment
~((((((d|e)>d)>n)|l)&((n|n)>n)))
((~((d|d))>~((v>(n>d))))|(e|e))
0
1
0
0
not entailment
(n&(((v&e)&v)&(n|v)))
(v>(l|e))
1
1
0
0
entailment
~((v>e))
~((e&~(l)))
1
0
0
0
entailment
(n&(((v&e)&v)&(n|v)))
~((e&~(l)))
0
1
0
0
not entailment
~((v>e))
(v>(l|e))
0
1
0
0
not entailment
(e&(l>(~(~((l>(~(l)>e))))|~(l))))
(((v|~((v&e)))>(~(d)>l))>e)
1
1
0
0
entailment
~((((n|l)&(l&d))|n))
~((d&(d>l)))
1
1
1
0
entailment
(e&(l>(~(~((l>(~(l)>e))))|~(l))))
~((d&(d>l)))
0
1
0
0
not entailment
~((((n|l)&(l&d))|n))
(((v|~((v&e)))>(~(d)>l))>e)
0
0
0
0
not entailment
((v>(n>l))&~((((l&(l|e))|d)|(e|v))))
~(((l|(e|(v|d)))|(l&v)))
1
1
1
1
entailment
~((((((d&d)|(v&l))&e)>(~(e)&l))|d))
((~(((~(~(e))&(l|e))&d))&(l>d))>d)
1
1
1
1
entailment
((v>(n>l))&~((((l&(l|e))|d)|(e|v))))
((~(((~(~(e))&(l|e))&d))&(l>d))>d)
0
1
1
0
not entailment
~((((((d&d)|(v&l))&e)>(~(e)&l))|d))
~(((l|(e|(v|d)))|(l&v)))
0
1
1
0
not entailment
~((v|l))
~((~((n&((n|n)&v)))>(e&v)))
1
0
0
0
entailment
((e>v)>e)
((l&n)|(v|(e|e)))
1
0
0
0
entailment
~((v|l))
((l&n)|(v|(e|e)))
0
0
0
0
not entailment
((e>v)>e)
~((~((n&((n|n)&v)))>(e&v)))
0
0
0
0
not entailment
(n&d)
(e>(n>d))
1
0
0
0
entailment
((((l|v)|e)&(n&(l|l)))|(e&~(e)))
((d>l)&((l|e)|((d>~((e&v)))>v)))
1
1
0
0
entailment
(n&d)
((d>l)&((l|e)|((d>~((e&v)))>v)))
0
0
0
0
not entailment
((((l|v)|e)&(n&(l|l)))|(e&~(e)))
(e>(n>d))
0
1
0
0
not entailment
(((n|~(v))>(d&l))&(n&e))
(((n>(~((d|v))|d))&n)>(v>e))
1
0
1
0
entailment
(v&d)
((l|d)>((v&d)&(v&((n&(e&l))|d))))
1
0
0
0
entailment
(((n|~(v))>(d&l))&(n&e))
((l|d)>((v&d)&(v&((n&(e&l))|d))))
0
0
1
0
not entailment
(v&d)
(((n>(~((d|v))|d))&n)>(v>e))
0
0
0
0
not entailment
(v&d)
(l|d)
1
1
0
0
entailment
~(((((n|(e|l))|d)&d)&(d|d)))
~(((d>v)&(((d&d)&(d&n))&l)))
1
1
0
0
entailment
(v&d)
~(((d>v)&(((d&d)&(d&n))&l)))
0
0
0
0
not entailment
~(((((n|(e|l))|d)&d)&(d|d)))
(l|d)
0
1
1
0
not entailment
(((l&v)&(l|(l>n)))|((d&v)&d))
(~((~(((l|d)>(n&n)))|v))>(v&n))
1
0
1
0
entailment
((d&(n&e))&~(l))
(~(l)>(e|((v|n)&n)))
1
0
0
0
entailment
(((l&v)&(l|(l>n)))|((d&v)&d))
(~(l)>(e|((v|n)&n)))
0
1
0
0
not entailment
((d&(n&e))&~(l))
(~((~(((l|d)>(n&n)))|v))>(v&n))
0
0
0
0
not entailment
((~((n>(d&(l&n))))&(l>v))&(n>l))
(~((e>~(d)))>(v>(l|l)))
1
1
0
0
entailment
((l|n)&~((e>l)))
(((d&~(n))>~(~(v)))>e)
1
0
0
0
entailment
((~((n>(d&(l&n))))&(l>v))&(n>l))
(((d&~(n))>~(~(v)))>e)
0
1
0
0
not entailment
((l|n)&~((e>l)))
(~((e>~(d)))>(v>(l|l)))
0
0
0
0
not entailment
((v&l)&(d&v))
(e>(d&(n>((((l|n)>v)|l)|d))))
1
0
0
0
entailment
~((((e&~(v))>(d&e))|~(n)))
(~(((v&e)|d))|(e|n))
1
1
1
1
entailment
((v&l)&(d&v))
(~(((v&e)|d))|(e|n))
0
0
0
0
not entailment
~((((e&~(v))>(d&e))|~(n)))
(e>(d&(n>((((l|n)>v)|l)|d))))
0
1
0
0
not entailment
(y|(((~(y)&(y|y))&y)|~(~(y))))
(~(~(((y>y)&y)))&y)
1
1
1
1
entailment
~((y&(y>y)))
~((y&(y|y)))
1
1
1
1
entailment
(y|(((~(y)&(y|y))&y)|~(~(y))))
~((y&(y|y)))
0
1
1
1
not entailment
~((y&(y>y)))
(~(~(((y>y)&y)))&y)
0
0
1
1
not entailment
(((y&y)>y)&~((~((y&y))&(y>y))))
((y&(y|(y&(y|(y>y)))))|y)
1
1
1
1
entailment
~((y|((y&y)&~((y|y)))))
~((y|y))
1
1
1
1
entailment
(((y&y)>y)&~((~((y&y))&(y>y))))
~((y|y))
0
1
1
1
not entailment
~((y|((y&y)&~((y|y)))))
((y&(y|(y&(y|(y>y)))))|y)
0
1
1
1
not entailment
(((y|y)&y)|((y>y)&y))
(y&(y&y))
1
1
1
1
entailment
(y>~(y))
~(((~(y)>(y|y))|~(((y>y)|y))))
1
0
1
0
entailment
(((y|y)&y)|((y>y)&y))
~(((~(y)>(y|y))|~(((y>y)|y))))
0
0
1
1
not entailment
(y>~(y))
(y&(y&y))
0
1
1
0
not entailment
((y&y)|y)
(y&((y&y)>y))
1
0
1
0
entailment
~(((y>y)>y))
~(((y|(y&(~(y)|y)))&(((y>y)|y)|y)))
1
0
1
1
entailment
((y&y)|y)
~(((y|(y&(~(y)|y)))&(((y>y)|y)|y)))
0
0
1
0
not entailment
~(((y>y)>y))
(y&((y&y)>y))
0
1
1
1
not entailment
~(~((((y|y)&y)&(y|y))))
(((y&y)&(y&y))|y)
1
1
1
1
entailment
(y>~(y))
~(((y&y)&y))
1
0
1
1
entailment
~(~((((y|y)&y)&(y|y))))
~(((y&y)&y))
0
1
1
0
not entailment
(y>~(y))
(((y&y)&(y&y))|y)
0
0
1
0
not entailment
~(~(~((v>(((h&v)|(~(g)>m))&(v&z))))))
(m>(~(v)>v))
1
1
1
1
entailment
(~(~((z&h)))&(m|h))
((g|(((z|z)&m)&z))>z)
1
1
0
0
entailment
~(~(~((v>(((h&v)|(~(g)>m))&(v&z))))))
((g|(((z|z)&m)&z))>z)
0
1
1
0
not entailment
(~(~((z&h)))&(m|h))
(m>(~(v)>v))
0
1
0
0
not entailment
(((~((v>~(h)))|h)|(m&z))&(g&v))
(((~(z)|g)|~(m))|(v|g))
1
1
1
0
entailment
~((~(~(g))|v))
(g>(g&m))
1
1
0
0
entailment
(((~((v>~(h)))|h)|(m&z))&(g&v))
(g>(g&m))
0
1
1
0
not entailment
~((~(~(g))|v))
(((~(z)|g)|~(m))|(v|g))
0
0
0
0
not entailment
((~(~(h))&(m|~(g)))&z)
((((h>v)|v)|h)&(m|h))
1
1
0
0
entailment
(v&g)
(((v&m)>(~(v)&((v&m)>((v&m)|h))))>~(m))
1
0
0
0
entailment
((~(~(h))&(m|~(g)))&z)
(((v&m)>(~(v)&((v&m)>((v&m)|h))))>~(m))
0
0
0
0
not entailment
(v&g)
((((h>v)|v)|h)&(m|h))
0
0
0
0
not entailment
(~((z&m))>(h&g))
(((v>(m|g))|(m|m))&(h|((v&(m>~(h)))>v)))
1
0
0
0
entailment
(z&(m>~(~(v))))
((m|v)>(g>z))
1
1
0
0
entailment
(~((z&m))>(h&g))
((m|v)>(g>z))
0
1
0
0
not entailment
(z&(m>~(~(v))))
(((v>(m|g))|(m|m))&(h|((v&(m>~(h)))>v)))
0
0
0
0
not entailment
(h&(z&(h>m)))
~((~((m|g))&(z>~(((m|(m|v))>(g&m))))))
1
0
0
0
entailment
((~((m|(z>g)))&v)&(h&(g|v)))
((((g&v)|z)>(m>(v>m)))&v)
1
1
1
0
entailment
(h&(z&(h>m)))
((((g&v)|z)>(m>(v>m)))&v)
0
0
0
0
not entailment
((~((m|(z>g)))&v)&(h&(g|v)))
~((~((m|g))&(z>~(((m|(m|v))>(g&m))))))
0
0
1
0
not entailment
(m&(m&((g&(m>g))&(m>m))))
(~(~((g|h)))|h)
1
1
0
0
entailment