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 |
|---|---|---|---|---|---|---|
(a&p)
|
((~(p)>(p|(a&p)))|d)
| 1 | 0 | 0 | 0 |
entailment
|
((d&p)|~((~((a&g))|(~((v>d))&d))))
|
((~(p)>(p|(a&p)))|d)
| 0 | 1 | 1 | 1 |
not entailment
|
(a&p)
|
((~(~(a))|(~(d)&p))>(((e&(y>y))>g)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&(m&t))
|
(~(((c&t)>c))|(m|~(((g&~(c))>(c&c)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(g)&~((c|(b&(b>v)))))
|
(g>(t&(b&~(~(m)))))
| 1 | 1 | 0 | 0 |
entailment
|
(v&(m&t))
|
(g>(t&(b&~(~(m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(g)&~((c|(b&(b>v)))))
|
(~(((c&t)>c))|(m|~(((g&~(c))>(c&c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v>c)&g)
|
~(~(((e>(t>~(~(g))))|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>v))
|
((m|b)|(c&b))
| 1 | 0 | 0 | 0 |
entailment
|
((v>c)&g)
|
((m|b)|(c&b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>v))
|
~(~(((e>(t>~(~(g))))|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(e)>((g|(v&b))&~((t|((g|t)>v))))))
|
~(((~((((t&(m>e))>g)&(e|m)))&e)&b))
| 1 | 1 | 0 | 0 |
entailment
|
((v|~((m&m)))&(b&m))
|
(((m|~(t))&b)>((v&m)&(e>(c|(b>v)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(e)>((g|(v&b))&~((t|((g|t)>v))))))
|
(((m|~(t))&b)>((v&m)&(e>(c|(b>v)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((v|~((m&m)))&(b&m))
|
~(((~((((t&(m>e))>g)&(e|m)))&e)&b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>b))
|
((b|e)>((e|(v>m))|(v&g)))
| 1 | 0 | 0 | 0 |
entailment
|
((m|m)>b)
|
((b|~(c))|(m>b))
| 1 | 0 | 0 | 0 |
entailment
|
~((c>b))
|
((b|~(c))|(m>b))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|m)>b)
|
((b|e)>((e|(v>m))|(v&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&v)
|
((g>~((m&(g&b))))>(b|((m&c)|v)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&e)
|
(e|m)
| 1 | 1 | 0 | 0 |
entailment
|
(g&v)
|
(e|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&e)
|
((g>~((m&(g&b))))>(b|((m&c)|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(c&b))
|
(((t&g)|e)&(e|m))
| 1 | 0 | 0 | 0 |
entailment
|
((~(t)>c)&(t&v))
|
(((c|t)|(~(c)|~(b)))>(m>(b>v)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(c&b))
|
(((c|t)|(~(c)|~(b)))>(m>(b>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(t)>c)&(t&v))
|
(((t&g)|e)&(e|m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((~(m)&g)))|~((v>b)))
|
(m>(((b&v)&v)>g))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((m>~(~((c>t)))))))
|
((c>b)>(t|b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((~(m)&g)))|~((v>b)))
|
((c>b)>(t|b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((m>~(~((c>t)))))))
|
(m>(((b&v)&v)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)&t)
|
((t|v)|(e>(v|t)))
| 1 | 0 | 0 | 0 |
entailment
|
((g&m)&(m>b))
|
((((t|g)&((m|b)|e))&e)|((m&b)|(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(b)&t)
|
((((t|g)&((m|b)|e))&e)|((m&b)|(b|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&m)&(m>b))
|
((t|v)|(e>(v|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((((v&c)|g)|m)|(g|e)))&(g|b))
|
(m>e)
| 1 | 1 | 1 | 0 |
entailment
|
(v&(~(g)|c))
|
(t>((v>g)>g))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((((v&c)|g)|m)|(g|e)))&(g|b))
|
(t>((v>g)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&(~(g)|c))
|
(m>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((b>(m>t)))
|
(((t&((m&m)&e))>(b|(t&(g&m))))&(m&m))
| 1 | 0 | 0 | 0 |
entailment
|
~((((g>~(m))&(g&g))>(m|b)))
|
((((m|c)>(m>t))&(m>(v&t)))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~((b>(m>t)))
|
((((m|c)>(m>t))&(m>(v&t)))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g>~(m))&(g&g))>(m|b)))
|
(((t&((m&m)&e))>(b|(t&(g&m))))&(m&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g>~(e)))&((e&t)|t))
|
(((((t>e)&b)>(e>t))>((e&g)&e))|(t>g))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(v&e))
|
(v&(c>e))
| 1 | 1 | 1 | 0 |
entailment
|
(~((g>~(e)))&((e&t)|t))
|
(v&(c>e))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(v&e))
|
(((((t>e)&b)>(e>t))>((e&g)&e))|(t>g))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|t)&g)&~(~((b|b))))
|
((m|((g>g)|(b|b)))>b)
| 1 | 1 | 0 | 0 |
entailment
|
((v>v)&~(((v>e)|e)))
|
(v|v)
| 1 | 1 | 1 | 1 |
entailment
|
(((e|t)&g)&~(~((b|b))))
|
(v|v)
| 0 | 1 | 0 | 0 |
not entailment
|
((v>v)&~(((v>e)|e)))
|
((m|((g>g)|(b|b)))>b)
| 0 | 1 | 0 | 0 |
not entailment
|
((c|g)&((m|g)&(m&((v|t)&e))))
|
(~(~((~(~(t))|c)))|(e&(~(v)>t)))
| 1 | 0 | 1 | 1 |
entailment
|
~((((t&v)|e)|(e&((c&(b&g))|c))))
|
(e>(~((t>c))>((t&m)&c)))
| 1 | 1 | 0 | 0 |
entailment
|
((c|g)&((m|g)&(m&((v|t)&e))))
|
(e>(~((t>c))>((t&m)&c)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((t&v)|e)|(e&((c&(b&g))|c))))
|
(~(~((~(~(t))|c)))|(e&(~(v)>t)))
| 0 | 0 | 1 | 0 |
not entailment
|
(c&~(~(~((m|t)))))
|
(~((g|~(c)))>(b|(t>((c&b)|~(e)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((v>~(v)))))
|
(t|v)
| 1 | 1 | 0 | 0 |
entailment
|
(c&~(~(~((m|t)))))
|
(t|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((v>~(v)))))
|
(~((g|~(c)))>(b|(t>((c&b)|~(e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&e)&~(t))
|
~((~(c)&((g>g)|(m&c))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g|(g|(v&v))))&(~(m)|~(~(e))))
|
~(((v&e)&~(t)))
| 1 | 1 | 0 | 0 |
entailment
|
((c&e)&~(t))
|
~(((v&e)&~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g|(g|(v&v))))&(~(m)|~(~(e))))
|
~((~(c)&((g>g)|(m&c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(c)>g)>((t>g)&(t&g))))
|
(((c|c)>g)>(v>((t&~(c))>(m&(g>e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(e|g))
|
(c>((g|(~((c|t))|(m&(m|~(t)))))|(b|e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(c)>g)>((t>g)&(t&g))))
|
(c>((g|(~((c|t))|(m&(m|~(t)))))|(b|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(e|g))
|
(((c|c)>g)>(v>((t&~(c))>(m&(g>e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|((b&c)&g))
|
(b|(m|(((c&t)|c)|(e|(t&c)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((g&(t>(c&c)))))
|
(t>c)
| 1 | 1 | 1 | 1 |
entailment
|
(m|((b&c)&g))
|
(t>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((g&(t>(c&c)))))
|
(b|(m|(((c&t)|c)|(e|(t&c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&((g|v)>e))
|
((v>c)|((t&e)&((v&(t|g))&g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((e&b)>g)&~((g>c)))
|
(~(~(t))|~(~(~((m&c)))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&((g|v)>e))
|
(~(~(t))|~(~(~((m&c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e&b)>g)&~((g>c)))
|
((v>c)|((t&e)&((v&(t|g))&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~((y&(h&h)))))&(b&y))
|
((v>(y&(h>(v&(~((b|h))|(b>h))))))>~(h))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
~((v&y))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~((y&(h&h)))))&(b&y))
|
~((v&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
((v>(y&(h>(v&(~((b|h))|(b>h))))))>~(h))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|b)&b)
|
(((b>h)>y)>b)
| 1 | 0 | 0 | 0 |
entailment
|
((v&~((h|~(v))))|~((y|h)))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
((h|b)&b)
|
~(h)
| 0 | 1 | 1 | 0 |
not entailment
|
((v&~((h|~(v))))|~((y|h)))
|
(((b>h)>y)>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(v&b)
|
((b&~(h))|((h&b)>((v&b)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((h>(((y>v)&(y>y))|v)))
|
((((h|v)&b)>~(b))|y)
| 1 | 1 | 0 | 0 |
entailment
|
(v&b)
|
((((h|v)&b)>~(b))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((h>(((y>v)&(y>y))|v)))
|
((b&~(h))|((h&b)>((v&b)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v>y)&(((y>h)&y)>(~((b>h))>(h|y)))))
|
((y|v)&v)
| 1 | 1 | 1 | 1 |
entailment
|
((v&(~((v&h))&b))|(b|b))
|
((b|h)&((b|b)|((y|(v>y))|~(~(b)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((v>y)&(((y>h)&y)>(~((b>h))>(h|y)))))
|
((b|h)&((b|b)|((y|(v>y))|~(~(b)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((v&(~((v&h))&b))|(b|b))
|
((y|v)&v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y&h)>((v>~((((b>b)|y)|y)))&h)))
|
(y|b)
| 1 | 1 | 1 | 1 |
entailment
|
((~(h)>y)>(~(y)&(((y|h)|(v&v))>y)))
|
~(~(~((y&(h>(b>(~(h)|(v|v))))))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((y&h)>((v>~((((b>b)|y)|y)))&h)))
|
~(~(~((y&(h>(b>(~(h)|(v|v))))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(h)>y)>(~(y)&(((y|h)|(v&v))>y)))
|
(y|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(v)|y)&(~(b)>y))
|
(y|(b|b))
| 1 | 1 | 1 | 1 |
entailment
|
(v&((b|b)>h))
|
(v|b)
| 1 | 1 | 1 | 0 |
entailment
|
((~(v)|y)&(~(b)>y))
|
(v|b)
| 0 | 1 | 1 | 0 |
not entailment
|
(v&((b|b)>h))
|
(y|(b|b))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|v)&y)&(y|v))
|
(y|((v|(b>b))&(v|y)))
| 1 | 0 | 0 | 0 |
entailment
|
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