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 |
---|---|---|---|---|---|---|
(c&(q>p))
|
(((q>k)&(~(p)&(d&(c&c))))|(g>c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~((d&v)))))
|
(((q>k)&(~(p)&(d&(c&c))))|(g>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(q>p))
|
(((~(c)|~(d))|(c|p))&(d|((c|v)>(p>g))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(k&d))&c)
|
~((((v&~(k))&((v&(d>v))|d))&q))
| 1 | 0 | 0 | 0 |
entailment
|
((d|(g&(d>v)))&~((((p&k)|(~(d)>p))&g)))
|
(d>((d|(g>q))>(p|((g&g)>v))))
| 1 | 1 | 0 | 0 |
entailment
|
((d&(k&d))&c)
|
(d>((d|(g>q))>(p|((g&g)>v))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d|(g&(d>v)))&~((((p&k)|(~(d)>p))&g)))
|
~((((v&~(k))&((v&(d>v))|d))&q))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c&d)>((k|v)>~(((~(q)|c)|q)))))
|
(c|p)
| 1 | 1 | 0 | 0 |
entailment
|
((g&d)&d)
|
((k>~(~((d&(k&g)))))&g)
| 1 | 0 | 0 | 0 |
entailment
|
~(((c&d)>((k|v)>~(((~(q)|c)|q)))))
|
((k>~(~((d&(k&g)))))&g)
| 0 | 1 | 0 | 0 |
not entailment
|
((g&d)&d)
|
(c|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p|(c>g)))
|
(q>(~(c)>d))
| 1 | 1 | 0 | 0 |
entailment
|
~((q>~((((((~(c)>d)&k)|v)>d)>k))))
|
((k>c)>q)
| 1 | 1 | 1 | 0 |
entailment
|
~((p|(c>g)))
|
((k>c)>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>~((((((~(c)>d)&k)|v)>d)>k))))
|
(q>(~(c)>d))
| 0 | 1 | 1 | 0 |
not entailment
|
((v&(d&d))&((v|d)&d))
|
((c|(d&((d|d)>d)))>d)
| 1 | 1 | 0 | 0 |
entailment
|
(((q&(c|c))&~(~((~(v)&c))))&p)
|
((((~(c)>p)>(g>(p>v)))&q)|q)
| 1 | 1 | 0 | 0 |
entailment
|
((v&(d&d))&((v|d)&d))
|
((((~(c)>p)>(g>(p>v)))&q)|q)
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&(c|c))&~(~((~(v)&c))))&p)
|
((c|(d&((d|d)>d)))>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(~(c)>(~(c)|(c|~(((c&c)|~(c)))))))
|
(c|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(c)>c))
|
(((c&c)>c)&~((c|c)))
| 1 | 0 | 1 | 0 |
entailment
|
(c&(~(c)>(~(c)|(c|~(((c&c)|~(c)))))))
|
(((c&c)>c)&~((c|c)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(c)>c))
|
(c|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(c)|(c>c))|(~(c)>~(c)))>(c&c))
|
(~((((c|c)>c)&c))>(c|c))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((c&c)>~(c)))>(((c>~(c))|c)&~(c)))
|
~(~(~((c|((c&c)|((c|c)&c))))))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(c)|(c>c))|(~(c)>~(c)))>(c&c))
|
~(~(~((c|((c&c)|((c|c)&c))))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((c&c)>~(c)))>(((c>~(c))|c)&~(c)))
|
(~((((c|c)>c)&c))>(c|c))
| 0 | 1 | 1 | 1 |
not entailment
|
(c&c)
|
~(~(c))
| 1 | 0 | 1 | 1 |
entailment
|
(((c|c)>(c|c))>(~((c&c))|~((~(c)|c))))
|
(c>((~(c)&c)&~((c>c))))
| 1 | 1 | 1 | 1 |
entailment
|
(c&c)
|
(c>((~(c)&c)&~((c>c))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((c|c)>(c|c))>(~((c&c))|~((~(c)|c))))
|
~(~(c))
| 0 | 1 | 1 | 1 |
not entailment
|
(c&c)
|
((~((c&(c|c)))|(~(~((c>c)))&(c|c)))>c)
| 1 | 0 | 1 | 0 |
entailment
|
~((((c|c)|((c|c)>c))&(((c&c)&c)&(c>c))))
|
((c&c)>((((c&c)&~(c))&c)&c))
| 1 | 1 | 1 | 1 |
entailment
|
(c&c)
|
((c&c)>((((c&c)&~(c))&c)&c))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((c|c)|((c|c)>c))&(((c&c)&c)&(c>c))))
|
((~((c&(c|c)))|(~(~((c>c)))&(c|c)))>c)
| 0 | 1 | 1 | 1 |
not entailment
|
(c&c)
|
(c&(c&c))
| 1 | 0 | 1 | 1 |
entailment
|
((c|c)>((c>(c&c))>(~(c)&~(c))))
|
~((c&(c|c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&c)
|
~((c&(c|c)))
| 0 | 0 | 1 | 0 |
not entailment
|
((c|c)>((c>(c&c))>(~(c)&~(c))))
|
(c&(c&c))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((h|e))>(d>n)))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(((b|y)|(((y&h)&y)&y))&~(~(n)))
|
(((~(e)|x)>~(n))>(n&n))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((h|e))>(d>n)))
|
(((~(e)|x)>~(n))>(n&n))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|y)|(((y&h)&y)&y))&~(~(n)))
|
~(e)
| 0 | 1 | 0 | 0 |
not entailment
|
((h&n)&~((h>~(d))))
|
(((e>x)|(h&(y>(e>e))))&(h|d))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(y)|(b&x))|(e&e))>(x&n))&~(b))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
((h&n)&~((h>~(d))))
|
~(b)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(y)|(b&x))|(e&e))>(x&n))&~(b))
|
(((e>x)|(h&(y>(e>e))))&(h|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(d))
|
((b|e)>d)
| 1 | 1 | 0 | 0 |
entailment
|
(((d&y)>e)&(b&(b&h)))
|
(b|y)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(d))
|
(b|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d&y)>e)&(b&(b&h)))
|
((b|e)>d)
| 0 | 1 | 1 | 0 |
not entailment
|
(d&((((h|(x>(h&n)))|e)|y)&(y>x)))
|
(((b|((h|h)>d))|(n>(d&b)))>d)
| 1 | 1 | 0 | 0 |
entailment
|
~((((b&(~(y)&e))&e)>~(n)))
|
(((h|~(((n&e)>(y>(y|d)))))|h)|((x&x)>n))
| 1 | 0 | 0 | 0 |
entailment
|
(d&((((h|(x>(h&n)))|e)|y)&(y>x)))
|
(((h|~(((n&e)>(y>(y|d)))))|h)|((x&x)>n))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((b&(~(y)&e))&e)>~(n)))
|
(((b|((h|h)>d))|(n>(d&b)))>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d&(n>e))>~(n))>~((e|(y|h))))
|
(((e|x)>~((((e&h)|d)&(b>y))))|d)
| 1 | 1 | 0 | 0 |
entailment
|
((b|h)&~(((h>(n&h))|(b>(d|n)))))
|
((((~(b)|(x&d))&~(d))|~(d))&(b>h))
| 1 | 0 | 0 | 0 |
entailment
|
(((d&(n>e))>~(n))>~((e|(y|h))))
|
((((~(b)|(x&d))&~(d))|~(d))&(b>h))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|h)&~(((h>(n&h))|(b>(d|n)))))
|
(((e|x)>~((((e&h)|d)&(b>y))))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(((b|h)|((y|~(d))&(y|d)))>d))
|
(~((x|b))|e)
| 1 | 1 | 0 | 0 |
entailment
|
(((x|((h&(n|h))|(b&n)))&h)&d)
|
((h|x)|n)
| 1 | 1 | 1 | 1 |
entailment
|
(e&(((b|h)|((y|~(d))&(y|d)))>d))
|
((h|x)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x|((h&(n|h))|(b&n)))&h)&d)
|
(~((x|b))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((d>(~(h)|b))&b)
|
((h&x)|(h|(n>b)))
| 1 | 1 | 0 | 0 |
entailment
|
(((h>(b>x))&x)&(~(d)>~(x)))
|
(e>x)
| 1 | 1 | 0 | 0 |
entailment
|
((d>(~(h)|b))&b)
|
(e>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>(b>x))&x)&(~(d)>~(x)))
|
((h&x)|(h|(n>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((e>(d>n))>e)&((e|(h|e))|d))&n)
|
(y|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((d>~(~(~(h))))|(~(((b>b)|y))|b)))
|
(~(h)>d)
| 1 | 1 | 1 | 1 |
entailment
|
((((e>(d>n))>e)&((e|(h|e))|d))&n)
|
(~(h)>d)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((d>~(~(~(h))))|(~(((b>b)|y))|b)))
|
(y|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x>x)&y)&b)
|
((y>~((e>e)))|(~(d)|(x|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((n>x))&(e>b))
|
(((x&b)&y)>(~(~(e))>~(((x>(n|d))|h))))
| 1 | 0 | 0 | 0 |
entailment
|
(((x>x)&y)&b)
|
(((x&b)&y)>(~(~(e))>~(((x>(n|d))|h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n>x))&(e>b))
|
((y>~((e>e)))|(~(d)|(x|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n|x)>h)>(~(b)&(x&d)))
|
((~(x)|b)|(~(((n|d)&h))>(h>d)))
| 1 | 0 | 1 | 0 |
entailment
|
((y|h)&(h&(b|h)))
|
((~((x|x))|(d|n))|((h&n)|(d|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((n|x)>h)>(~(b)&(x&d)))
|
((~((x|x))|(d|n))|((h&n)|(d|h)))
| 0 | 0 | 1 | 0 |
not entailment
|
((y|h)&(h&(b|h)))
|
((~(x)|b)|(~(((n|d)&h))>(h>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((d&y)|~((h>(e|~(n)))))))
|
(d|((h>b)|n))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&(h&((h>n)|(e&y))))
|
((n>x)|(d>~((n&n))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((d&y)|~((h>(e|~(n)))))))
|
((n>x)|(d>~((n&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&(h&((h>n)|(e&y))))
|
(d|((h>b)|n))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((((~(h)|e)>(d>x))|e))&(n&n))))
|
((x>h)|e)
| 1 | 1 | 1 | 0 |
entailment
|
~(y)
|
(~((((y&n)&h)|y))|~(((x|(d>e))|n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((((~(h)|e)>(d>x))|e))&(n&n))))
|
(~((((y&n)&h)|y))|~(((x|(d>e))|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
((x>h)|e)
| 0 | 0 | 0 | 0 |
not entailment
|
((e&(~(d)&(b|e)))&(h>n))
|
((h>((x>b)&h))|(e&x))
| 1 | 1 | 0 | 0 |
entailment
|
(d&((n|h)&((e|x)|~(y))))
|
(((b|y)>((b|y)>(d|(((d&d)>n)&b))))|~(y))
| 1 | 0 | 0 | 0 |
entailment
|
((e&(~(d)&(b|e)))&(h>n))
|
(((b|y)>((b|y)>(d|(((d&d)>n)&b))))|~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&((n|h)&((e|x)|~(y))))
|
((h>((x>b)&h))|(e&x))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&e)&((d>h)>(~((n|d))&(d&x))))
|
(h|e)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((n&d)))
|
((d|(y&x))>n)
| 1 | 1 | 0 | 0 |
entailment
|
((d&e)&((d>h)>(~((n|d))&(d&x))))
|
((d|(y&x))>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((n&d)))
|
(h|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((~(e)|~(y)))))
|
(~((~(b)|(n&n)))|(((n&x)>(h>d))>y))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((~(x)|d)|y)))>(x&(x>(d&~(x)))))
|
~(~(((d>b)&((d&h)|(d|(((e|y)|x)|b))))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((~(e)|~(y)))))
|
~(~(((d>b)&((d&h)|(d|(((e|y)|x)|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((~(x)|d)|y)))>(x&(x>(d&~(x)))))
|
(~((~(b)|(n&n)))|(((n&x)>(h>d))>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(h)&(b&y))&(~((d>h))&((h|y)>~(h))))
|
((x>(d|h))|b)
| 1 | 1 | 0 | 0 |
entailment
|
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