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))
|
(s>((((x&v)|c)>~(s))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&g)
|
~(~((~(s)>g)))
| 1 | 0 | 0 | 0 |
entailment
|
(f|f)
|
(f&(((x>f)&(n>a))|((~(f)>x)|(t|(g&a)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&g)
|
(f&(((x>f)&(n>a))|((~(f)>x)|(t|(g&a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f|f)
|
~(~((~(s)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|(~(t)|(((v|c)&((t>n)>g))>f)))>(v|g))
|
(((g|v)|(f&~((v|s))))|((c>t)>((c|a)|s)))
| 1 | 1 | 0 | 0 |
entailment
|
((v>a)&x)
|
(~((((t|f)>n)&(~(a)|(n|a))))>x)
| 1 | 0 | 0 | 0 |
entailment
|
((v|(~(t)|(((v|c)&((t>n)>g))>f)))>(v|g))
|
(~((((t|f)>n)&(~(a)|(n|a))))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((v>a)&x)
|
(((g|v)|(f&~((v|s))))|((c>t)>((c|a)|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>c))&(n>(c&~(((c&n)&f)))))
|
((n>c)|(t&((x&t)|~((s|t)))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&((s>(f>n))&n))
|
(n|s)
| 1 | 1 | 1 | 0 |
entailment
|
(~((v>c))&(n>(c&~(((c&n)&f)))))
|
(n|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&((s>(f>n))&n))
|
((n>c)|(t&((x&t)|~((s|t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&c)&s)
|
(~(~((g|a)))|(s&(s>s)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(s)&x)
|
((((~(v)>c)>(s|~(t)))&v)>~(s))
| 1 | 0 | 0 | 0 |
entailment
|
((t&c)&s)
|
((((~(v)>c)>(s|~(t)))&v)>~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&x)
|
(~(~((g|a)))|(s&(s>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((a|((x|x)|(f>g)))|(t>~(~(c))))|c))
|
((~((~(c)|s))&a)>((s>((c|v)&a))>(f&v)))
| 1 | 1 | 0 | 0 |
entailment
|
~((n|(x>t)))
|
~((v&~(x)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((a|((x|x)|(f>g)))|(t>~(~(c))))|c))
|
~((v&~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|(x>t)))
|
((~((~(c)|s))&a)>((s>((c|v)&a))>(f&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>v)&s)
|
(((a|s)>~((~(s)&(n|v))))&(v>(s|(g&c))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>c))
|
(~(~(~(((c&((c|((s>f)>g))&s))&f))))|t)
| 1 | 0 | 0 | 0 |
entailment
|
((x>v)&s)
|
(~(~(~(((c&((c|((s>f)>g))&s))&f))))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>c))
|
(((a|s)>~((~(s)&(n|v))))&(v>(s|(g&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>v))
|
((v|x)>s)
| 1 | 1 | 0 | 0 |
entailment
|
~((x>v))
|
((a&((g&n)>c))|x)
| 1 | 0 | 0 | 0 |
entailment
|
~((s>v))
|
((a&((g&n)>c))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>v))
|
((v|x)>s)
| 0 | 1 | 0 | 0 |
not entailment
|
((x>~(g))>x)
|
(x|(s|s))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>s)>(a>((g|x)|g)))&c)
|
(c|t)
| 1 | 1 | 0 | 0 |
entailment
|
((x>~(g))>x)
|
(c|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((g>s)>(a>((g|x)|g)))&c)
|
(x|(s|s))
| 0 | 1 | 1 | 0 |
not entailment
|
(o|o)
|
(~(((o>((o|(o&o))|o))&(~(o)|(o|o))))|o)
| 1 | 0 | 1 | 0 |
entailment
|
~((o|~((o>o))))
|
~((~(~((~(~(o))|o)))&(o&o)))
| 1 | 0 | 1 | 1 |
entailment
|
(o|o)
|
~((~(~((~(~(o))|o)))&(o&o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((o|~((o>o))))
|
(~(((o>((o|(o&o))|o))&(~(o)|(o|o))))|o)
| 0 | 0 | 1 | 1 |
not entailment
|
(((o|o)|o)&(o&(o|o)))
|
~(~((o|(o&(o&o)))))
| 1 | 1 | 1 | 1 |
entailment
|
((o>o)&(~(((o>~(o))|o))|(~(o)|~(o))))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(((o|o)|o)&(o&(o|o)))
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
((o>o)&(~(((o>~(o))|o))|(~(o)|~(o))))
|
~(~((o|(o&(o&o)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((o|o)))|o)
|
((o|~((~((o>o))&o)))&o)
| 1 | 0 | 1 | 0 |
entailment
|
~((((o>~((o|o)))>(o|o))|~(~(o))))
|
(((o>o)>o)>~((o>(o&o))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((o|o)))|o)
|
(((o>o)>o)>~((o>(o&o))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((o>~((o|o)))>(o|o))|~(~(o))))
|
((o|~((~((o>o))&o)))&o)
| 0 | 1 | 1 | 0 |
not entailment
|
(o|o)
|
(~(o)>(o&o))
| 1 | 0 | 1 | 1 |
entailment
|
~(o)
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(o|o)
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
~(o)
|
(~(o)>(o&o))
| 0 | 0 | 1 | 0 |
not entailment
|
(o|~((((o|o)|o)>~((o|~(o))))))
|
(o|~((o>o)))
| 1 | 1 | 1 | 1 |
entailment
|
~(o)
|
~((((o>o)&~((~(o)>((o&(o>o))|o))))>o))
| 1 | 0 | 1 | 0 |
entailment
|
(o|~((((o|o)|o)>~((o|~(o))))))
|
~((((o>o)&~((~(o)>((o&(o>o))|o))))>o))
| 0 | 0 | 1 | 1 |
not entailment
|
~(o)
|
(o|~((o>o)))
| 0 | 0 | 1 | 0 |
not entailment
|
((e&t)&~((v&j)))
|
(~(((h>(v>s))|e))>~(~((d>~(d)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((j&s)>t)>(((t&(j&w))|d)>t))|r))
|
((d|e)>(d|(v&d)))
| 1 | 1 | 0 | 0 |
entailment
|
((e&t)&~((v&j)))
|
((d|e)>(d|(v&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((j&s)>t)>(((t&(j&w))|d)>t))|r))
|
(~(((h>(v>s))|e))>~(~((d>~(d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(((e|w)>(((j>r)|h)>s))>(j&w)))
|
~(~((((e|s)&((t>e)|e))&(v>v))))
| 1 | 1 | 0 | 0 |
entailment
|
((h&((h>s)>(t>t)))|(v|(h&s)))
|
((~((t&r))|(e>(h|h)))|v)
| 1 | 1 | 0 | 0 |
entailment
|
(e&(((e|w)>(((j>r)|h)>s))>(j&w)))
|
((~((t&r))|(e>(h|h)))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
((h&((h>s)>(t>t)))|(v|(h&s)))
|
~(~((((e|s)&((t>e)|e))&(v>v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&j)
|
(((h>t)&e)|(e|j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e|(t&~(w)))|(v>h)))
|
~(((r&h)&s))
| 1 | 1 | 0 | 0 |
entailment
|
(v&j)
|
~(((r&h)&s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e|(t&~(w)))|(v>h)))
|
(((h>t)&e)|(e|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((v&s)))&(h&e))
|
((t>(~(j)>v))&v)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(h)>(~(s)&(d&~(((s>v)|h))))))
|
((((e&v)>v)&h)>(w&(~(~((w>s)))>v)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((v&s)))&(h&e))
|
((((e&v)>v)&h)>(w&(~(~((w>s)))>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(h)>(~(s)&(d&~(((s>v)|h))))))
|
((t>(~(j)>v))&v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(j)))&~(((r>t)>r)))
|
((v&r)>~(((r&h)&(h&t))))
| 1 | 1 | 0 | 0 |
entailment
|
~((w&(h>(v>j))))
|
((w&w)>(e|(~(t)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(j)))&~(((r>t)>r)))
|
((w&w)>(e|(~(t)|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w&(h>(v>j))))
|
((v&r)>~(((r&h)&(h&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&((w&(w&~(t)))&v))
|
(t>(~(v)>((v>t)&d)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((w&d)|t)|(h>(r|h)))&~(((r&s)&h))))
|
(j>h)
| 1 | 1 | 0 | 0 |
entailment
|
(v&((w&(w&~(t)))&v))
|
(j>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((w&d)|t)|(h>(r|h)))&~(((r&s)&h))))
|
(t>(~(v)>((v>t)&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((r>s)|j)|(v>s))>r)>w))
|
((~((r|e))>(e&w))>(w|r))
| 1 | 1 | 0 | 0 |
entailment
|
((s&v)&d)
|
((((v>(s|d))|s)|~(((w|j)&r)))>(r>d))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((r>s)|j)|(v>s))>r)>w))
|
((((v>(s|d))|s)|~(((w|j)&r)))>(r>d))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&v)&d)
|
((~((r|e))>(e&w))>(w|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~(~(((w&(((v>s)>t)&(r&r)))&w))))
|
(((h|t)&t)|(h|(w|h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(((~(w)|w)|(v&r))))>d))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
(s&~(~(((w&(((v>s)>t)&(r&r)))&w))))
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(((~(w)|w)|(v&r))))>d))
|
(((h|t)&t)|(h|(w|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((h&((s|h)&j))))
|
(~(((~((w>r))>~((r>h)))|e))|j)
| 1 | 0 | 0 | 0 |
entailment
|
((~((w|(r>d)))&((h|h)|(v&h)))|~((r>t)))
|
((r|e)&(r|t))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((h&((s|h)&j))))
|
((r|e)&(r|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((w|(r>d)))&((h|h)|(v&h)))|~((r>t)))
|
(~(((~((w>r))>~((r>h)))|e))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((j>(t|s)))
|
~(((s&w)&r))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(d))&e)&h)
|
(v>(v&d))
| 1 | 1 | 0 | 0 |
entailment
|
~((j>(t|s)))
|
(v>(v&d))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(d))&e)&h)
|
~(((s&w)&r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((r>(w>j))&v))&d)
|
(((~(s)>~(~(h)))>r)|(d|h))
| 1 | 0 | 0 | 0 |
entailment
|
(v&((s>(j|~(j)))>(j>~(((w|h)|(j>d))))))
|
((d>h)>(((t&w)|(t>v))|(e|~(j))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((r>(w>j))&v))&d)
|
((d>h)>(((t&w)|(t>v))|(e|~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&((s>(j|~(j)))>(j>~(((w|h)|(j>d))))))
|
(((~(s)>~(~(h)))>r)|(d|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&(~(j)>j))
|
(j&((v|~((t&h)))|w))
| 1 | 0 | 0 | 0 |
entailment
|
((((w|j)>s)|v)&~((d|s)))
|
(e|(s>((r&v)>e)))
| 1 | 1 | 0 | 0 |
entailment
|
(v&(~(j)>j))
|
(e|(s>((r&v)>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
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