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 |
|---|---|---|---|---|---|---|
~((u&u))
|
(((u|u)>u)&((u&(u>u))|(u|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(u|(u|u))
|
((u>u)&(u&((u&u)>((u&(u>u))>u))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((u|~(u))&u))
|
(~(((u>u)>u))|~(~(~(u))))
| 1 | 0 | 1 | 1 |
entailment
|
(u|(u|u))
|
(~(((u>u)>u))|~(~(~(u))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((u|~(u))&u))
|
((u>u)&(u&((u&u)>((u&(u>u))>u))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((u|u)&(u&u))>~(u))
|
~(((~((u|u))>u)&(u|~(u))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((u&u)>~((u&u))))
|
(u&(u|u))
| 1 | 1 | 1 | 1 |
entailment
|
(((u|u)&(u&u))>~(u))
|
(u&(u|u))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u&u)>~((u&u))))
|
~(((~((u|u))>u)&(u|~(u))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(u)&((u>u)|(u>u)))
|
~((~(((u&u)>(u|u)))|u))
| 1 | 0 | 1 | 1 |
entailment
|
((u>(u>u))&(u&(u|u)))
|
(((u|(u|u))&~((u>~(u))))&(u|~(u)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(u)&((u>u)|(u>u)))
|
(((u|(u|u))&~((u>~(u))))&(u|~(u)))
| 0 | 0 | 1 | 1 |
not entailment
|
((u>(u>u))&(u&(u|u)))
|
~((~(((u&u)>(u|u)))|u))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~(~((u&(u&u))))&u))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
(u|~((u>(u>(~(~(u))|u)))))
|
~(((u&(u&u))>~((u&u))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~((u&(u&u))))&u))
|
~(((u&(u&u))>~((u&u))))
| 0 | 1 | 1 | 0 |
not entailment
|
(u|~((u>(u>(~(~(u))|u)))))
|
~(u)
| 0 | 1 | 1 | 1 |
not entailment
|
~((u&(u>u)))
|
(~((u&(u|u)))&(u>(u>(u>u))))
| 1 | 0 | 1 | 1 |
entailment
|
(u|(~(u)&u))
|
(~(~(~(~(u))))|u)
| 1 | 0 | 1 | 1 |
entailment
|
~((u&(u>u)))
|
(~(~(~(~(u))))|u)
| 0 | 0 | 1 | 1 |
not entailment
|
(u|(~(u)&u))
|
(~((u&(u|u)))&(u>(u>(u>u))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(u)
|
((u|(u>~(((u&~((u|u)))&u))))&~(u))
| 1 | 0 | 1 | 0 |
entailment
|
(~((u&u))>u)
|
(u&(~((~(u)|~(u)))>u))
| 1 | 0 | 1 | 0 |
entailment
|
~(u)
|
(u&(~((~(u)|~(u)))>u))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((u&u))>u)
|
((u|(u>~(((u&~((u|u)))&u))))&~(u))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&s)
|
(~((s>s))|s)
| 1 | 0 | 1 | 0 |
entailment
|
((~(s)>(s|s))>~((s>(s|((s|s)&s)))))
|
~(s)
| 1 | 1 | 1 | 1 |
entailment
|
(s&s)
|
~(s)
| 0 | 1 | 1 | 0 |
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)
| 1 | 1 | 1 | 1 |
entailment
|
~((s&(s>s)))
|
~((s&s))
| 1 | 1 | 1 | 1 |
entailment
|
(((~((s|s))&s)|(s&s))|s)
|
~((s&s))
| 0 | 1 | 1 | 1 |
not entailment
|
~((s&(s>s)))
|
(s|s)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(s))
|
(~(~((s|s)))|(s&s))
| 1 | 0 | 1 | 1 |
entailment
|
(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)))
| 0 | 0 | 1 | 0 |
not entailment
|
(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)))|s)
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~(s))&s))
|
~(~(((s>~(s))&(s>s))))
| 1 | 0 | 1 | 0 |
entailment
|
(s&s)
|
~(~(((s>~(s))&(s>s))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~(s))&s))
|
(~((((((s&s)&s)&(~(s)&s))|s)|~(s)))|s)
| 0 | 0 | 1 | 0 |
not entailment
|
((~(s)|s)>s)
|
((s|s)&(~(~(s))|s))
| 1 | 0 | 1 | 1 |
entailment
|
(s>~(s))
|
~((s|s))
| 1 | 1 | 1 | 1 |
entailment
|
((~(s)|s)>s)
|
~((s|s))
| 0 | 1 | 1 | 1 |
not entailment
|
(s>~(s))
|
((s|s)&(~(~(s))|s))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(s)>s)&s)>(s&~((s|(s>s)))))
|
(s>~(s))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((s&(s&s))))
|
(s|(s&s))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(s)>s)&s)>(s&~((s|(s>s)))))
|
(s|(s&s))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((s&(s&s))))
|
(s>~(s))
| 0 | 1 | 1 | 0 |
not entailment
|
~(g)
|
(((g|~(a))|((t&c)&g))>((~(n)|c)>(g>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(c>a))
|
(~((a>a))|((g>c)>c))
| 1 | 0 | 0 | 0 |
entailment
|
~(g)
|
(~((a>a))|((g>c)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(c>a))
|
(((g|~(a))|((t&c)&g))>((~(n)|c)>(g>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((g>a)&(((a>(c&a))&g)>a))))
|
((g&~((a|c)))>(t&(~(~(~(a)))|x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((t&(x|n)))
|
((x>~(x))|(~((t&a))|~((c>((g>t)>c)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((g>a)&(((a>(c&a))&g)>a))))
|
((x>~(x))|(~((t&a))|~((c>((g>t)>c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t&(x|n)))
|
((g&~((a|c)))>(t&(~(~(~(a)))|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(t|a))
|
(t|((((c>g)>x)|g)&(t>(t&(c&t)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((t|((a>(x|n))|((x|x)|x))))
|
((~((t|(a|x)))&g)|(a&a))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(t|a))
|
((~((t|(a|x)))&g)|(a&a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|((a>(x|n))|((x|x)|x))))
|
(t|((((c>g)>x)|g)&(t>(t&(c&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((g&x)|g)>(n>(x&a)))|(t&g)))
|
((((t&((t&a)>c))>(n>c))>(g>n))>g)
| 1 | 1 | 0 | 0 |
entailment
|
((c&((x&x)>g))&~(((a|g)&c)))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((g&x)|g)>(n>(x&a)))|(t&g)))
|
~(a)
| 0 | 1 | 1 | 1 |
not entailment
|
((c&((x&x)>g))&~(((a|g)&c)))
|
((((t&((t&a)>c))>(n>c))>(g>n))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((c>n)|n)|(n&n)))
|
(n>~(((n&n)&(t&x))))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(~((((t&t)&~(x))&n))&~(~(g))))
|
(g|(x>g))
| 1 | 1 | 1 | 0 |
entailment
|
~((((c>n)|n)|(n&n)))
|
(g|(x>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(~((((t&t)&~(x))&n))&~(~(g))))
|
(n>~(((n&n)&(t&x))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((x&t)|~(~((n>c))))>~((c|c)))|n))
|
~(((n&(n|g))|n))
| 1 | 1 | 0 | 0 |
entailment
|
~((((g|(t|n))|(n>g))>(a|(t&g))))
|
(a>g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((x&t)|~(~((n>c))))>~((c|c)))|n))
|
(a>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g|(t|n))|(n>g))>(a|(t&g))))
|
~(((n&(n|g))|n))
| 0 | 1 | 1 | 1 |
not entailment
|
~((g>((x|(c&~(t)))>((g|x)>(t&n)))))
|
(t|g)
| 1 | 1 | 1 | 0 |
entailment
|
~((t|(x|a)))
|
(((((x&x)>g)&(t>g))&(a|n))>(n|c))
| 1 | 0 | 0 | 0 |
entailment
|
~((g>((x|(c&~(t)))>((g|x)>(t&n)))))
|
(((((x&x)>g)&(t>g))&(a|n))>(n|c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t|(x|a)))
|
(t|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&t)
|
(n|c)
| 1 | 1 | 0 | 0 |
entailment
|
~((a|x))
|
((x>((t>g)|g))|((g>a)>((g&c)&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&t)
|
((x>((t>g)|g))|((g>a)>((g&c)&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|x))
|
(n|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((t|~((a>(n&(t&c))))))
|
(~(a)|~((t>((n>t)>a))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((a&(x>a))&(((g>t)>((t>c)>n))&a))))
|
(a|(((c>a)>~((~(~((g&c)))>(c&t))))>g))
| 1 | 1 | 1 | 0 |
entailment
|
~((t|~((a>(n&(t&c))))))
|
(a|(((c>a)>~((~(~((g&c)))>(c&t))))>g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((a&(x>a))&(((g>t)>((t>c)>n))&a))))
|
(~(a)|~((t>((n>t)>a))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((x>t)|(a&(~(~(~(t)))>x))))
|
((~(x)&~(a))>(n&(a|c)))
| 1 | 1 | 0 | 0 |
entailment
|
((((((g>x)|~((a|t)))&a)|(t>c))|g)>n)
|
(((c>a)|(((t>g)>c)>g))|((n&t)|n))
| 1 | 1 | 1 | 0 |
entailment
|
~(((x>t)|(a&(~(~(~(t)))>x))))
|
(((c>a)|(((t>g)>c)>g))|((n&t)|n))
| 0 | 1 | 0 | 0 |
not entailment
|
((((((g>x)|~((a|t)))&a)|(t>c))|g)>n)
|
((~(x)&~(a))>(n&(a|c)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a>((n>x)&((c&n)>(((n&a)>(a|t))>c)))))
|
((~(~(t))>((g|(a>c))>(c|n)))|x)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((n>n))|a))
|
((a&c)>~((c|(~(x)&x))))
| 1 | 0 | 0 | 0 |
entailment
|
~((a>((n>x)&((c&n)>(((n&a)>(a|t))>c)))))
|
((a&c)>~((c|(~(x)&x))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((n>n))|a))
|
((~(~(t))>((g|(a>c))>(c|n)))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&t)
|
((~((c>(a>t)))|(~(a)|t))|~(x))
| 1 | 0 | 0 | 0 |
entailment
|
(x&~(t))
|
(((g|(x&c))|(g&c))|x)
| 1 | 0 | 0 | 0 |
entailment
|
(n&t)
|
(((g|(x&c))|(g&c))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~(t))
|
((~((c>(a>t)))|(~(a)|t))|~(x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|~(~((~((a&(t>(g>c))))&(x>t))))))
|
(t>c)
| 1 | 1 | 1 | 1 |
entailment
|
(t&(((g|c)&(n&g))&(a|t)))
|
~(((~(x)>(c>c))>~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((a|~(~((~((a&(t>(g>c))))&(x>t))))))
|
~(((~(x)>(c>c))>~(n)))
| 0 | 1 | 0 | 0 |
not entailment
|
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