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 |
|---|---|---|---|---|---|---|
(((l&n)|((m|v)|((v&l)>l)))&~(~((l&g))))
|
~(((n&x)&(p&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c|x)|j)&((g|n)|(n>(l|m)))))
|
((j>(v&j))|(((m&g)>v)&~((g|n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((j>l)>n))>m))
|
(n>i)
| 1 | 1 | 0 | 0 |
entailment
|
~((((c|x)|j)&((g|n)|(n>(l|m)))))
|
(n>i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((j>l)>n))>m))
|
((j>(v&j))|(((m&g)>v)&~((g|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>j)>((~((x&m))&~(((j&v)>j)))&i))
|
((l>(m&p))>(l|(g>x)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c|(~(v)|~(j))))
|
(j|~(c))
| 1 | 1 | 1 | 1 |
entailment
|
((x>j)>((~((x&m))&~(((j&v)>j)))&i))
|
(j|~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|(~(v)|~(j))))
|
((l>(m&p))>(l|(g>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(j))
|
(~(n)|((~((m|(v&l)))|l)|(p|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&j)&((c&g)|~((((n&i)|(j|n))>l))))|g)
|
(~(l)|g)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(j))
|
(~(l)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&j)&((c&g)|~((((n&i)|(j|n))>l))))|g)
|
(~(n)|((~((m|(v&l)))|l)|(p|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(v)>v)
|
((j|(n|(~(i)&(m&i))))|(i|v))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(x&(c|j)))
|
(~(~((~(~((g>x)))>m)))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(~(v)>v)
|
(~(~((~(~((g>x)))>m)))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(x&(c|j)))
|
((j|(n|(~(i)&(m&i))))|(i|v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(~((v>j)))|~((~(c)|m))))))
|
(g>(((v|m)|(c>(v|x)))|m))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(i&p))
|
~(~(((p>(g&(j>n)))|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(~((v>j)))|~((~(c)|m))))))
|
~(~(((p>(g&(j>n)))|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(i&p))
|
(g>(((v|m)|(c>(v|x)))|m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(n)&(p&(p|x)))|(~(p)&(v>v))))
|
((p&(~((p&n))>p))|x)
| 1 | 1 | 1 | 0 |
entailment
|
(((l&v)&n)&~(~(~(p))))
|
(~(~((m|~(i))))|~((l>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(n)&(p&(p|x)))|(~(p)&(v>v))))
|
(~(~((m|~(i))))|~((l>p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l&v)&n)&~(~(~(p))))
|
((p&(~((p&n))>p))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(m|v))
|
(j|n)
| 1 | 1 | 0 | 0 |
entailment
|
(x&m)
|
~(~(x))
| 1 | 0 | 1 | 1 |
entailment
|
(j&(m|v))
|
~(~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&m)
|
(j|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j&(x>~((g|l))))&(j|x))&i)
|
(((l|p)>(~(~((x|i)))|(c|i)))|(v|m))
| 1 | 0 | 0 | 0 |
entailment
|
(((x&(x>c))>(g|c))&((j>(l&p))&~(v)))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
(((j&(x>~((g|l))))&(j|x))&i)
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x&(x>c))>(g|c))&((j>(l&p))&~(v)))
|
(((l|p)>(~(~((x|i)))|(c|i)))|(v|m))
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&~(l))&i)&(v&(n|p)))
|
~(~((c|v)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((x>(((c&(l|~(c)))|i)|~(c)))&i))
|
(p|((i>~(m))|l))
| 1 | 1 | 0 | 0 |
entailment
|
(((i&~(l))&i)&(v&(n|p)))
|
(p|((i>~(m))|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x>(((c&(l|~(c)))|i)|~(c)))&i))
|
~(~((c|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x|x)&((j&g)|(c&((g&m)|v))))
|
((((i|l)>m)|(n>g))|((v&~(x))|(v|j)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((i&g))&((g|p)>m))&~(l))
|
((~(~(l))|l)>c)
| 1 | 1 | 0 | 0 |
entailment
|
((x|x)&((j&g)|(c&((g&m)|v))))
|
((~(~(l))|l)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((i&g))&((g|p)>m))&~(l))
|
((((i|l)>m)|(n>g))|((v&~(x))|(v|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(s)>s)&s)&(s|~(s)))
|
(~((s&s))>(s&(s&s)))
| 1 | 1 | 1 | 1 |
entailment
|
~((s&s))
|
~(((s|(s>s))>(((s>(s>s))>s)&(s>s))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~(s)>s)&s)&(s|~(s)))
|
~(((s|(s>s))>(((s>(s>s))>s)&(s>s))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((s&s))
|
(~((s&s))>(s&(s&s)))
| 0 | 0 | 1 | 0 |
not entailment
|
((s>~((~(s)>s)))>(s&s))
|
(((s|s)&(s>s))|(~(((s>s)&s))>s))
| 1 | 0 | 1 | 0 |
entailment
|
~(s)
|
~(s)
| 1 | 1 | 1 | 1 |
entailment
|
((s>~((~(s)>s)))>(s&s))
|
~(s)
| 0 | 1 | 1 | 0 |
not entailment
|
~(s)
|
(((s|s)&(s>s))|(~(((s>s)&s))>s))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&((s|s)|(s|s)))
|
~((((s>s)&~(s))|(~((s>(s&s)))&s)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(s)>(s|s))&(~((~((s>s))|s))>s)))
|
~(((s&(~(~(s))|s))&~((s&~(s)))))
| 1 | 1 | 1 | 1 |
entailment
|
(s&((s|s)|(s|s)))
|
~(((s&(~(~(s))|s))&~((s&~(s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(s)>(s|s))&(~((~((s>s))|s))>s)))
|
~((((s>s)&~(s))|(~((s>(s&s)))&s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(s|(((s>~(s))|s)>s))
|
(s|(s|(s|s)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((s&((s|s)>s)))|~((s&(s>s))))
|
((s>(s&s))&~(((s>s)>((s|(s>s))>s))))
| 1 | 0 | 1 | 1 |
entailment
|
(s|(((s>~(s))|s)>s))
|
((s>(s&s))&~(((s>s)>((s|(s>s))>s))))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((s&((s|s)>s)))|~((s&(s>s))))
|
(s|(s|(s|s)))
| 0 | 1 | 1 | 1 |
not entailment
|
((s>(~(((s|s)&s))>(s|~(s))))&s)
|
(~(s)>s)
| 1 | 1 | 1 | 1 |
entailment
|
((~(s)>~(~((s|(s|s)))))>~(((s>s)>s)))
|
~((s|s))
| 1 | 1 | 1 | 1 |
entailment
|
((s>(~(((s|s)&s))>(s|~(s))))&s)
|
~((s|s))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(s)>~(~((s|(s|s)))))>~(((s>s)>s)))
|
(~(s)>s)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((s&(s&s)))&(s|~(s)))
|
~(~(((s>(s|~(~((s|(s&s))))))&~(s))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(s)>(s|s))
|
(s|~(~((s&(s|s)))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((s&(s&s)))&(s|~(s)))
|
(s|~(~((s&(s|s)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(s)>(s|s))
|
~(~(((s>(s|~(~((s|(s&s))))))&~(s))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((l>g)&g))&(j&l))
|
(g>(b|((n|(n|d))>(n&d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
((b&j)>(b>(l>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((l>g)&g))&(j&l))
|
((b&j)>(b>(l>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(j)
|
(g>(b|((n|(n|d))>(n&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(g>e))
|
(~(((b&~(l))&e))|((l&(d|n))|n))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(n)>((g|g)&b))>~(~(~(~(n))))))
|
(((d>((j&~(n))>(g|e)))>j)>(n|b))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(g>e))
|
(((d>((j&~(n))>(g|e)))>j)>(n|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(n)>((g|g)&b))>~(~(~(~(n))))))
|
(~(((b&~(l))&e))|((l&(d|n))|n))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(j)&j)|g))&(n&j))
|
((((d>l)|n)&~((g&(n|l))))&(n>(g|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((e|j)&d))&(d&d))
|
~((e&(n|l)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(j)&j)|g))&(n&j))
|
~((e&(n|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((e|j)&d))&(d&d))
|
((((d>l)|n)&~((g&(n|l))))&(n>(g|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((b&l)|((e>n)&(b>(j>n)))))|(e&d))
|
(b|(j|e))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(n)|(g|(l>(d&~(j))))))
|
(e|n)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((b&l)|((e>n)&(b>(j>n)))))|(e&d))
|
(e|n)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(n)|(g|(l>(d&~(j))))))
|
(b|(j|e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
((((l>n)|n)|b)>(b>(g&b)))
| 1 | 0 | 0 | 0 |
entailment
|
((b&n)&((b&j)|e))
|
(n|~((~(~((e|(e|e))))>(b&d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(b)
|
(n|~((~(~((e|(e|e))))>(b&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b&n)&((b&j)|e))
|
((((l>n)|n)|b)>(b>(g&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e>g)>l)|(l|(b|d)))&j)
|
~(~((j|((~(b)|(b&g))>j))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((g>e)|l))&~((l|b)))
|
((e&(d>((g>e)>(g|e))))>(g&(e&n)))
| 1 | 0 | 0 | 0 |
entailment
|
((((e>g)>l)|(l|(b|d)))&j)
|
((e&(d>((g>e)>(g|e))))>(g&(e&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((g>e)|l))&~((l|b)))
|
~(~((j|((~(b)|(b&g))>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&b)
|
((n&b)|j)
| 1 | 0 | 0 | 0 |
entailment
|
(d&g)
|
((g>~(n))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(n&b)
|
((g>~(n))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
(d&g)
|
((n&b)|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(j)))&~(~(g)))
|
(~(~(d))>g)
| 1 | 1 | 0 | 0 |
entailment
|
((n>n)&d)
|
(((n>(d|(d|~(e))))|(j>n))>d)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(j)))&~(~(g)))
|
(((n>(d|(d|~(e))))|(j>n))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
((n>n)&d)
|
(~(~(d))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&((((l>j)>((j|j)|e))&(e>l))&g))
|
((j&(e&~(g)))>(~((n&(((b|l)>b)>g)))>g))
| 1 | 0 | 0 | 0 |
entailment
|
(e&l)
|
(e&(~((d|l))>j))
| 1 | 0 | 0 | 0 |
entailment
|
(n&((((l>j)>((j|j)|e))&(e>l))&g))
|
(e&(~((d|l))>j))
| 0 | 1 | 0 | 0 |
not entailment
|
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