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 |
|---|---|---|---|---|---|---|
~(((i&x)>(j&g)))
|
(((d&(z>~(z)))|(g&d))>(j>(j>x)))
| 1 | 0 | 0 | 0 |
entailment
|
((j&(~(j)>(j|d)))|~(((j&(s&d))>j)))
|
((d|j)|d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((i&x)>(j&g)))
|
((d|j)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&(~(j)>(j|d)))|~(((j&(s&d))>j)))
|
(((d&(z>~(z)))|(g&d))>(j>(j>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y|y)|(y&(((y&y)&y)&y)))&(y>y))
|
(~(y)>y)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((y&y)>y)>(~(y)>y))&(y&((y>y)|y))))
|
~(((y|y)|y))
| 1 | 1 | 1 | 1 |
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))))
|
(~(y)>y)
| 0 | 1 | 1 | 1 |
not entailment
|
(y&y)
|
((y>y)>(((y|(y|y))&y)&((y>(y&y))|y)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(y)&(y>~(y)))|~(y))
|
~((y|((y|y)&y)))
| 1 | 1 | 1 | 1 |
entailment
|
(y&y)
|
~((y|((y|y)&y)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(y)&(y>~(y)))|~(y))
|
((y>y)>(((y|(y|y))&y)&((y>(y&y))|y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((y|(y&y))|y)|((y&y)|y))
|
~(~((y|((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))>~(y))
| 1 | 1 | 1 | 1 |
entailment
|
(((y|(y&y))|y)|((y&y)|y))
|
(((y|y)&(y>y))>~(y))
| 0 | 1 | 1 | 0 |
not entailment
|
((y>((y&y)|y))&((y&y)>(~(y)|~(y))))
|
~(~((y|((y&(y&(y&y)))&((y>(y|y))&y)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(y|(~((~(y)>y))&y))
|
((y&y)&(y|y))
| 1 | 1 | 1 | 1 |
entailment
|
~((y|(y|y)))
|
~(((y&(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>~(y))))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((y|(y|y)))
|
((y&y)&(y|y))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((y&(y>y))|((y|(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))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((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|y)))|((y>y)>y))))
| 0 | 0 | 1 | 1 |
not entailment
|
(v&~((~(v)&e)))
|
(v|v)
| 1 | 1 | 1 | 1 |
entailment
|
(e&(h>((g&h)>(g>e))))
|
((e&((c>c)>(h>p)))|(((h|c)>~(u))|h))
| 1 | 0 | 0 | 0 |
entailment
|
(v&~((~(v)&e)))
|
((e&((c>c)>(h>p)))|(((h|c)>~(u))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(h>((g&h)>(g>e))))
|
(v|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((v>(p>~(g))))&(((v>g)|g)|h))
|
(v|(e|g))
| 1 | 1 | 0 | 0 |
entailment
|
(((h>h)>u)|(u&e))
|
(((~(~(e))|(e>h))|v)>(~((u>h))|h))
| 1 | 0 | 0 | 0 |
entailment
|
(~((v>(p>~(g))))&(((v>g)|g)|h))
|
(((~(~(e))|(e>h))|v)>(~((u>h))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h>h)>u)|(u&e))
|
(v|(e|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(v&~((e|c))))
|
(g|v)
| 1 | 1 | 1 | 1 |
entailment
|
(~((e|v))|(h&~(((e>u)|v))))
|
((e|(v>~((h>e))))|((h&e)&p))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(v&~((e|c))))
|
((e|(v>~((h>e))))|((h&e)&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((e|v))|(h&~(((e>u)|v))))
|
(g|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((v|p)|~(h))&((p&c)|p))&(c&e))))
|
(u>(p|~((c&h))))
| 1 | 1 | 0 | 0 |
entailment
|
~(g)
|
((g&~((h&e)))>(v&e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((((v|p)|~(h))&((p&c)|p))&(c&e))))
|
((g&~((h&e)))>(v&e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(g)
|
(u>(p|~((c&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&u)&(g&h))
|
((~(u)|~((e>(h|u))))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(e&(~(p)>(g&((g&g)>v))))
|
((~((p&~((c|p))))>e)|~((p&(g>g))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&u)&(g&h))
|
((~((p&~((c|p))))>e)|~((p&(g>g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(~(p)>(g&((g&g)>v))))
|
((~(u)|~((e>(h|u))))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p>p)>(c>~(v))))
|
(c&((~(v)&u)>(u>(~((v|e))>g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((u|h))&(u&e)))&(u|p)))
|
(p>((~(p)|((~((u|g))|v)>h))|(e|(c&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>p)>(c>~(v))))
|
(p>((~(p)|((~((u|g))|v)>h))|(e|(c&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~((u|h))&(u&e)))&(u|p)))
|
(c&((~(v)&u)>(u>(~((v|e))>g))))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((e&(g|p))|e))
|
(e|((u|e)>c))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(h&(((u&u)|~(v))>(h|p))))
|
((g>(u&g))&(c>u))
| 1 | 1 | 0 | 0 |
entailment
|
(g&((e&(g|p))|e))
|
((g>(u&g))&(c>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(h&(((u&u)|~(v))>(h|p))))
|
(e|((u|e)>c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(g)|((u|c)|(~(p)&~((h|p))))))
|
~(~((u>g)))
| 1 | 1 | 1 | 1 |
entailment
|
(((v|c)&~(g))&p)
|
(g>(g>p))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(g)|((u|c)|(~(p)&~((h|p))))))
|
(g>(g>p))
| 0 | 1 | 1 | 0 |
not entailment
|
(((v|c)&~(g))&p)
|
~(~((u>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((v&g)|h)|(h>p)))|(u&v))
|
((~(u)&~(h))>g)
| 1 | 1 | 1 | 0 |
entailment
|
(~((v|(e&(v|g))))&c)
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((v&g)|h)|(h>p)))|(u&v))
|
(c&c)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((v|(e&(v|g))))&c)
|
((~(u)&~(h))>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((v|c))
|
(v>u)
| 1 | 1 | 0 | 0 |
entailment
|
(g&~(u))
|
((e|(g&(h|g)))&((e&((p>c)>e))>e))
| 1 | 0 | 0 | 0 |
entailment
|
~((v|c))
|
((e|(g&(h|g)))&((e&((p>c)>e))>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&~(u))
|
(v>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|u)>(u>v)))
|
((h>(g|u))|~((e&(u>p))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((u|e)|h))|(g|(p|~(v)))))
|
((((c>e)&(h>e))&u)>(h|(~((p>v))>v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h|u)>(u>v)))
|
((((c>e)&(h>e))&u)>(h|(~((p>v))>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((u|e)|h))|(g|(p|~(v)))))
|
((h>(g|u))|~((e&(u>p))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c|~((p&h))))
|
((p&c)>(p&h))
| 1 | 1 | 1 | 0 |
entailment
|
~((e>v))
|
((h&(p|p))>(e|e))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|~((p&h))))
|
((h&(p|p))>(e|e))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>v))
|
((p&c)>(p&h))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(p))&((u>g)|(e|c)))&(c|g))
|
(~((~(u)|v))|p)
| 1 | 1 | 0 | 0 |
entailment
|
(u&g)
|
((((h|(g&e))&~((h|v)))|u)>(u&(c>g)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(p))&((u>g)|(e|c)))&(c|g))
|
((((h|(g&e))&~((h|v)))|u)>(u&(c>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&g)
|
(~((~(u)|v))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>(d>g)))
|
((g>u)&d)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((d|~(u))&g)))
|
(((d&~(((g>(d&u))>g)))|g)>g)
| 1 | 0 | 1 | 0 |
entailment
|
~((u>(d>g)))
|
(((d&~(((g>(d&u))>g)))|g)>g)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((d|~(u))&g)))
|
((g>u)&d)
| 0 | 1 | 1 | 0 |
not entailment
|
(u|g)
|
~(~(((d&g)|(u|g))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g&g))>d)
|
(~(~((u&~(g))))>d)
| 1 | 0 | 0 | 0 |
entailment
|
(u|g)
|
(~(~((u&~(g))))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g&g))>d)
|
~(~(((d&g)|(u|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(u|u))
|
((u&((d|(d|d))>d))|(((u&u)|g)&((d>u)>g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g&(d|(d|d)))|~(((g>d)&d))))
|
((g|u)>((u&~(~(d)))|g))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(u|u))
|
((g|u)>((u&~(~(d)))|g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g&(d|(d|d)))|~(((g>d)&d))))
|
((u&((d|(d|d))>d))|(((u&u)|g)&((d>u)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((u|d)>u))|~(~(~(g)))))
|
((g>((g|(d&u))|u))&(~(u)|g))
| 1 | 1 | 1 | 0 |
entailment
|
((g>((d&u)&~(u)))&(d>d))
|
((g>u)|~((g&(d>u))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((u|d)>u))|~(~(~(g)))))
|
((g>u)|~((g&(d>u))))
| 0 | 1 | 1 | 0 |
not entailment
|
((g>((d&u)&~(u)))&(d>d))
|
((g>((g|(d&u))|u))&(~(u)|g))
| 0 | 0 | 1 | 0 |
not entailment
|
(g|~(((d>d)|g)))
|
(g&(u|(g>g)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d&u)>(g&u)))
|
((d>~(d))|(d&u))
| 1 | 1 | 1 | 0 |
entailment
|
(g|~(((d>d)|g)))
|
((d>~(d))|(d&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&u)>(g&u)))
|
(g&(u|(g>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(u)>~(g)))
|
(d|((u&g)>d))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>u)&u)&~((u>d)))
|
((~(d)>u)|(u&d))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(u)>~(g)))
|
((~(d)>u)|(u&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g>u)&u)&~((u>d)))
|
(d|((u&g)>d))
| 0 | 1 | 1 | 0 |
not entailment
|
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