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 |
|---|---|---|---|---|---|---|
~((((~(g)|m)&g)>(n|b)))
|
~(~(((b&(m>m))&(g|(b|n)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((b|n)&b)
|
(n>~(g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(b)>(m|g)))
|
(((n&n)&(b&b))>g)
| 1 | 1 | 0 | 0 |
entailment
|
(((n&m)&b)&(n&~(g)))
|
(((b|n)&m)&(((((b|b)|g)|m)|n)>(b&m)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(b)>(m|g)))
|
(((b|n)&m)&(((((b|b)|g)|m)|n)>(b&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&m)&b)&(n&~(g)))
|
(((n&n)&(b&b))>g)
| 0 | 1 | 1 | 0 |
not entailment
|
((m|g)&(~(g)&b))
|
((b|~(n))>((m|m)>(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(g|g)
|
(~((b|((n>(m&n))|n)))|g)
| 1 | 0 | 0 | 0 |
entailment
|
((m|g)&(~(g)&b))
|
(~((b|((n>(m&n))|n)))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(g|g)
|
((b|~(n))>((m|m)>(b|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m&b)|b)&~(g))
|
(~(~(g))|(n>b))
| 1 | 1 | 0 | 0 |
entailment
|
(n&((b>b)>((n>n)|b)))
|
(~(n)>((m>~(n))&m))
| 1 | 1 | 0 | 0 |
entailment
|
(((m&b)|b)&~(g))
|
(~(n)>((m>~(n))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&((b>b)>((n>n)|b)))
|
(~(~(g))|(n>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)>b)
|
(m|b)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((((n&b)&(m>g))|n)&n))))
|
((b&n)>~(~((n>~((b|(g&g)))))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(b)>b)
|
((b&n)>~(~((n>~((b|(g&g)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((((n&b)&(m>g))|n)&n))))
|
(m|b)
| 0 | 1 | 1 | 0 |
not entailment
|
(b&b)
|
~(~(~(~((m|b)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n|g)
|
(~(g)>((m>g)|~(~(n))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&b)
|
(~(g)>((m>g)|~(~(n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n|g)
|
~(~(~(~((m|b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|b)&(n>~(~(~(m)))))
|
((m>(b>m))&b)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~(m)|m))|(n>m)))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
((b|b)&(n>~(~(~(m)))))
|
~(m)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((~(m)|m))|(n>m)))
|
((m>(b>m))&b)
| 0 | 1 | 0 | 0 |
not entailment
|
((g&b)|b)
|
(b|(m>b))
| 1 | 1 | 0 | 0 |
entailment
|
(n&(~(g)&m))
|
(~(~((((~(b)|b)&g)>(n>(g&m)))))|m)
| 1 | 0 | 0 | 0 |
entailment
|
((g&b)|b)
|
(~(~((((~(b)|b)&g)>(n>(g&m)))))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(~(g)&m))
|
(b|(m>b))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&b)|~((~(m)|(m|b))))
|
((b&g)|~((g&((m&(b|(b|m)))|m))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~(g)>b)&(~(b)&n))&~(~(n)))
|
(b>~((g&m)))
| 1 | 1 | 0 | 0 |
entailment
|
((g&b)|~((~(m)|(m|b))))
|
(b>~((g&m)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(g)>b)&(~(b)&n))&~(~(n)))
|
((b&g)|~((g&((m&(b|(b|m)))|m))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(g)>(g>n))>b)
|
((~(g)>b)|(m>~((g|(((g&b)>b)|b)))))
| 1 | 0 | 0 | 0 |
entailment
|
((m|b)&(n|~((g>((m>g)|b)))))
|
(n|((g>~((g&~(m))))&~(n)))
| 1 | 1 | 1 | 0 |
entailment
|
((~(g)>(g>n))>b)
|
(n|((g>~((g&~(m))))&~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|b)&(n|~((g>((m>g)|b)))))
|
((~(g)>b)|(m>~((g|(((g&b)>b)|b)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(m)
|
~((m|m))
| 1 | 0 | 1 | 1 |
entailment
|
(m&~((((g|(m|(m|b)))>(((m|b)>m)>g))|b)))
|
(((n>n)>g)>(b>(g&m)))
| 1 | 1 | 0 | 0 |
entailment
|
~(m)
|
(((n>n)>g)>(b>(g&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&~((((g|(m|(m|b)))>(((m|b)>m)>g))|b)))
|
~((m|m))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((m>g)>g))|((b&m)&n))
|
((m|g)>m)
| 1 | 1 | 1 | 1 |
entailment
|
(b&n)
|
~(~((n|b)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(((m>g)>g))|((b&m)&n))
|
~(~((n|b)))
| 0 | 1 | 1 | 1 |
not entailment
|
(b&n)
|
((m|g)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(~(~(g))))>(~(~(~(b)))&m))|m)
|
((~(g)|m)|(g&m))
| 1 | 1 | 1 | 0 |
entailment
|
((b|n)&b)
|
((((n|n)>m)&((m|n)|~(g)))>b)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~(~(g))))>(~(~(~(b)))&m))|m)
|
((((n|n)>m)&((m|n)|~(g)))>b)
| 0 | 1 | 0 | 0 |
not entailment
|
((b|n)&b)
|
((~(g)|m)|(g&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&~((b&g)))
|
(~(n)|(g>(b&n)))
| 1 | 0 | 0 | 0 |
entailment
|
((b>(n>(b|(b>g))))>~(~(~(~((g|g))))))
|
(~(((g|b)&m))|(((m>m)|~(n))>((b>n)>g)))
| 1 | 1 | 0 | 0 |
entailment
|
(b&~((b&g)))
|
(~(((g|b)&m))|(((m>m)|~(n))>((b>n)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b>(n>(b|(b>g))))>~(~(~(~((g|g))))))
|
(~(n)|(g>(b&n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((e|y)&(r|r))&(y|(r>~(r))))
|
((((e>r)>y)&y)&(((y&e)>(r&r))|y))
| 1 | 0 | 1 | 0 |
entailment
|
~((((((y>e)|y)|~(r))>((r|y)&r))&r))
|
~(~(((r|r)>e)))
| 1 | 1 | 1 | 1 |
entailment
|
(((e|y)&(r|r))&(y|(r>~(r))))
|
~(~(((r|r)>e)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((((y>e)|y)|~(r))>((r|y)&r))&r))
|
((((e>r)>y)&y)&(((y&e)>(r&r))|y))
| 0 | 1 | 1 | 0 |
not entailment
|
((e|y)&y)
|
(((r&y)|~(r))&(y|((r|e)>(y>e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&e)>y))
|
((y&e)|r)
| 1 | 1 | 1 | 0 |
entailment
|
((e|y)&y)
|
((y&e)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r&e)>y))
|
(((r&y)|~(r))&(y|((r|e)>(y>e))))
| 0 | 0 | 1 | 0 |
not entailment
|
(e|~((~((y&r))|((y&e)|y))))
|
((e|r)|~(~(y)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(y)>(e|e))|r))
|
(e>(e&r))
| 1 | 1 | 1 | 0 |
entailment
|
(e|~((~((y&r))|((y&e)|y))))
|
(e>(e&r))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~(y)>(e|e))|r))
|
((e|r)|~(~(y)))
| 0 | 1 | 1 | 0 |
not entailment
|
((r|~((r>e)))|r)
|
(r|(((y>y)|e)>(e>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((y>(r>(y|(e>y))))))&e)
|
(~((((y>~((r&e)))|y)>y))>e)
| 1 | 1 | 1 | 0 |
entailment
|
((r|~((r>e)))|r)
|
(~((((y>~((r&e)))|y)>y))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((y>(r>(y|(e>y))))))&e)
|
(r|(((y>y)|e)>(e>y)))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&y)
|
((e>e)>((~(~(e))>y)|(((e&y)|y)&y)))
| 1 | 0 | 1 | 0 |
entailment
|
((r>(r>(r&e)))&~((r&e)))
|
~(((r&r)&(e|e)))
| 1 | 1 | 1 | 1 |
entailment
|
(e&y)
|
~(((r&r)&(e|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>(r>(r&e)))&~((r&e)))
|
((e>e)>((~(~(e))>y)|(((e&y)|y)&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(e&r))
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((e&(r>e)))|y))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(y&(e&r))
|
~(y)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((e&(r>e)))|y))
|
(y|y)
| 0 | 1 | 1 | 0 |
not entailment
|
(e&~(r))
|
((r>r)&(~(~((~((y>e))|e)))|(r>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|~(~(e)))&r)&r)
|
(e>r)
| 1 | 1 | 1 | 0 |
entailment
|
(e&~(r))
|
(e>r)
| 0 | 1 | 1 | 0 |
not entailment
|
(((r|~(~(e)))&r)&r)
|
((r>r)&(~(~((~((y>e))|e)))|(r>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&r)&(y|r))
|
~(~((~((y|e))>(r>y))))
| 1 | 0 | 1 | 0 |
entailment
|
((e&e)>((y&y)|~((~((y|y))&e))))
|
~(~(((y&e)|(r>~(e)))))
| 1 | 1 | 0 | 0 |
entailment
|
((e&r)&(y|r))
|
~(~(((y&e)|(r>~(e)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((e&e)>((y&y)|~((~((y|y))&e))))
|
~(~((~((y|e))>(r>y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(e|~(y))))
|
~((((e|y)>y)>(~(y)&r)))
| 1 | 0 | 1 | 0 |
entailment
|
((((r&r)|r)|((r&(r>r))|e))&((e|r)>r))
|
((e&e)|r)
| 1 | 1 | 1 | 1 |
entailment
|
~((r|(e|~(y))))
|
((e&e)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
((((r&r)|r)|((r&(r>r))|e))&((e|r)>r))
|
~((((e|y)>y)>(~(y)&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|e)>e)&~((e&y)))
|
(r>e)
| 1 | 1 | 1 | 1 |
entailment
|
((y>(~((r>r))&y))&~(~(((r|e)|y))))
|
(((y|r)>((y&e)&r))|(((y>y)>(r&r))|e))
| 1 | 1 | 1 | 1 |
entailment
|
(((r|e)>e)&~((e&y)))
|
(((y|r)>((y&e)&r))|(((y>y)>(r&r))|e))
| 0 | 0 | 1 | 0 |
not entailment
|
((y>(~((r>r))&y))&~(~(((r|e)|y))))
|
(r>e)
| 0 | 1 | 1 | 1 |
not entailment
|
((e|(r&e))&(((~(e)|y)>(y&((y>y)|y)))>y))
|
(((e|r)|e)|((r>y)>((e|(r&y))|~(y))))
| 1 | 1 | 1 | 1 |
entailment
|
~((((r|y)|(y|r))&(((r>e)&y)>~(~(r)))))
|
(~(r)|((e>r)>~(y)))
| 1 | 1 | 1 | 1 |
entailment
|
((e|(r&e))&(((~(e)|y)>(y&((y>y)|y)))>y))
|
(~(r)|((e>r)>~(y)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((r|y)|(y|r))&(((r>e)&y)>~(~(r)))))
|
(((e|r)|e)|((r>y)>((e|(r&y))|~(y))))
| 0 | 1 | 1 | 0 |
not entailment
|
(y|~(r))
|
((e|((r>y)|y))|~((y>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(r|(y&(y&e)))
|
(y>(r|(e&y)))
| 1 | 1 | 1 | 0 |
entailment
|
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