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 |
|---|---|---|---|---|---|---|
(b&a)
|
~((n&b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(n)&~((b&q)))
|
((n|n)|((v>q)|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((n|(((b>d)|q)|b))&~(((v>n)|v)))|n)
|
~((~(n)|~(n)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(((((a&v)&(q|a))&d)&q)))))
|
(~(~((~((b>a))|a)))|(~((b>n))&(b&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((n|(((b>d)|q)|b))&~(((v>n)|v)))|n)
|
(~(~((~((b>a))|a)))|(~((b>n))&(b&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((((a&v)&(q|a))&d)&q)))))
|
~((~(n)|~(n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((a&(n|n))&(q&d))
|
(v|(d&a))
| 1 | 1 | 0 | 0 |
entailment
|
(n&(b&~(d)))
|
(~(~(((d&q)>d)))&(d>(q>v)))
| 1 | 0 | 0 | 0 |
entailment
|
((a&(n|n))&(q&d))
|
(~(~(((d&q)>d)))&(d>(q>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(b&~(d)))
|
(v|(d&a))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b>~(~((a&v)))))
|
(b|(q&~(~((~(~(q))&~((d&b)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n|~(~(~(a)))))
|
(~(~(~(((v|a)&d))))|a)
| 1 | 0 | 0 | 0 |
entailment
|
~((b>~(~((a&v)))))
|
(~(~(~(((v|a)&d))))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~((n|~(~(~(a)))))
|
(b|(q&~(~((~(~(q))&~((d&b)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((q>a)&n)&n)|v)&a)
|
(((q>((v|(d&v))>(b|q)))>a)|b)
| 1 | 0 | 0 | 0 |
entailment
|
((a|(v|d))&n)
|
(n|(n|n))
| 1 | 1 | 1 | 1 |
entailment
|
(((((q>a)&n)&n)|v)&a)
|
(n|(n|n))
| 0 | 1 | 1 | 1 |
not entailment
|
((a|(v|d))&n)
|
(((q>((v|(d&v))>(b|q)))>a)|b)
| 0 | 0 | 0 | 0 |
not entailment
|
((((v&a)>n)>~((a>a)))|(n&a))
|
(((((a>(v|b))&(b|(b>a)))|(q>n))>(a|q))|b)
| 1 | 0 | 0 | 0 |
entailment
|
~(((d&v)>q))
|
(n>(n>((b>v)&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((((v&a)>n)>~((a>a)))|(n&a))
|
(n>(n>((b>v)&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&v)>q))
|
(((((a>(v|b))&(b|(b>a)))|(q>n))>(a|q))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
((((~((b&v))>~(v))&((d|a)&q))|v)&b)
|
((b>b)&(b|d))
| 1 | 1 | 1 | 0 |
entailment
|
((((v|a)&~((q>(q&b))))>a)&(a&v))
|
(((n|~(q))|~(~(q)))>(v&(q>v)))
| 1 | 1 | 0 | 0 |
entailment
|
((((~((b&v))>~(v))&((d|a)&q))|v)&b)
|
(((n|~(q))|~(~(q)))>(v&(q>v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((v|a)&~((q>(q&b))))>a)&(a&v))
|
((b>b)&(b|d))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&a)&(d&n))
|
((b>~(~((((v|q)>n)|(n>d)))))&(a|b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((v>b)|~(((q>b)&~(q)))))
|
~((q|(~(b)>q)))
| 1 | 1 | 1 | 1 |
entailment
|
((q&a)&(d&n))
|
~((q|(~(b)>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v>b)|~(((q>b)&~(q)))))
|
((b>~(~((((v|q)>n)|(n>d)))))&(a|b))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&b)&(((d>v)&(q&v))>~((n>b))))
|
(a|(b&(v&v)))
| 1 | 1 | 1 | 0 |
entailment
|
((((a&n)|v)>(v&q))&~(b))
|
((q&n)|~(((((v&q)>(q|(b&q)))&b)&(v|v))))
| 1 | 0 | 1 | 0 |
entailment
|
((a&b)&(((d>v)&(q&v))>~((n>b))))
|
((q&n)|~(((((v&q)>(q|(b&q)))&b)&(v|v))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((a&n)|v)>(v&q))&~(b))
|
(a|(b&(v&v)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((d|~(v)))
|
(v|(v|a))
| 1 | 1 | 0 | 0 |
entailment
|
(b&b)
|
(~((((q&a)>v)>(a&b)))>(b|a))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|~(v)))
|
(~((((q&a)>v)>(a&b)))>(b|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&b)
|
(v|(v|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&b)
|
(b|v)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(~(~(b)))>q)|(q>v))>v))
|
(~((v|(d|v)))|~(v))
| 1 | 1 | 0 | 0 |
entailment
|
(d&b)
|
(~((v|(d|v)))|~(v))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(~(~(b)))>q)|(q>v))>v))
|
(b|v)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((v&(n|b))|v))
|
~(~(~((~(~((((n>v)&d)>d)))&v))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(b&a))
|
(a|(v&a))
| 1 | 1 | 0 | 0 |
entailment
|
~(((v&(n|b))|v))
|
(a|(v&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(b&a))
|
~(~(~((~(~((((n>v)&d)>d)))&v))))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&v)&(n|(v>v)))
|
((((b>v)&a)&~(((v&q)&a)))|(n|(a&n)))
| 1 | 0 | 0 | 0 |
entailment
|
((v&d)&v)
|
(~(~(((v>b)|(d>b))))>(v&(b|((v&d)|b))))
| 1 | 0 | 0 | 0 |
entailment
|
((n&v)&(n|(v>v)))
|
(~(~(((v>b)|(d>b))))>(v&(b|((v&d)|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&d)&v)
|
((((b>v)&a)&~(((v&q)&a)))|(n|(a&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>((v|d)&b)))&(d|d))
|
~(~(v))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(a)&(v>((((v>n)>(n&a))|v)&n))))
|
(~(~(((a&q)|~(q))))|(q>~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((v>((v|d)&b)))&(d|d))
|
(~(~(((a&q)|~(q))))|(q>~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(a)&(v>((((v>n)>(n&a))|v)&n))))
|
~(~(v))
| 0 | 1 | 1 | 1 |
not entailment
|
(((n>(b|(q>n)))&((d|q)&(v|a)))&(d>(q&a)))
|
(((q|q)|v)|~(~(d)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(((v>(~(v)|n))&n))))>n)
|
((a&b)>((n&d)|((d>n)&n)))
| 1 | 1 | 0 | 0 |
entailment
|
(((n>(b|(q>n)))&((d|q)&(v|a)))&(d>(q&a)))
|
((a&b)>((n&d)|((d>n)&n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(~(((v>(~(v)|n))&n))))>n)
|
(((q|q)|v)|~(~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&q)&b)
|
((b|(a>~(v)))|(~((d>(v>b)))&~((b|q))))
| 1 | 0 | 0 | 0 |
entailment
|
((q&q)&b)
|
(n>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(n)
|
((b|(a>~(v)))|(~((d>(v>b)))&~((b|q))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&a)&n)
|
((~(b)>d)>((b|((b|n)|(n|d)))>a))
| 1 | 0 | 0 | 0 |
entailment
|
~((v&((b&(b|d))|((~(~(n))>n)|~(v)))))
|
~(((d>n)&v))
| 1 | 1 | 1 | 0 |
entailment
|
((d&a)&n)
|
~(((d>n)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v&((b&(b|d))|((~(~(n))>n)|~(v)))))
|
((~(b)>d)>((b|((b|n)|(n|d)))>a))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>((z&l)|((v|f)>z))))
|
((a|e)|e)
| 1 | 1 | 0 | 0 |
entailment
|
(((v|(l>l))>((s|e)&j))&((k>e)&(l|(k|a))))
|
(a|j)
| 1 | 1 | 1 | 1 |
entailment
|
~((e>((z&l)|((v|f)>z))))
|
(a|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|(l>l))>((s|e)&j))&((k>e)&(l|(k|a))))
|
((a|e)|e)
| 0 | 1 | 1 | 1 |
not entailment
|
(e&~(~(~(~((s|(f|v)))))))
|
(((l>~((a&~(l))))>z)>(e|f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f>v)>((e>(e&l))>((j>l)|l))))
|
(e>(j|j))
| 1 | 1 | 1 | 1 |
entailment
|
(e&~(~(~(~((s|(f|v)))))))
|
(e>(j|j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>v)>((e>(e&l))>((j>l)|l))))
|
(((l>~((a&~(l))))>z)>(e|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&((z&s)&((~(k)&s)&(z|a))))&e)
|
(((z>j)>(l>a))|~(((s|(k|e))&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~(((l&f)&a))>l)&(z|z))))
|
(l&((((j>(l&j))>(a>a))|j)|l))
| 1 | 1 | 0 | 0 |
entailment
|
((f&((z&s)&((~(k)&s)&(z|a))))&e)
|
(l&((((j>(l&j))>(a>a))|j)|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~(((l&f)&a))>l)&(z|z))))
|
(((z>j)>(l>a))|~(((s|(k|e))&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((z&s)>k)>((a>k)>v))&k)
|
(((((e&a)|(s|~(s)))>e)&e)|(((k|z)&a)>v))
| 1 | 0 | 0 | 0 |
entailment
|
~((k&((v>j)|(((s>(z>z))&(v|f))>v))))
|
((k&~(l))>~(~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
((((z&s)>k)>((a>k)>v))&k)
|
((k&~(l))>~(~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k&((v>j)|(((s>(z>z))&(v|f))>v))))
|
(((((e&a)|(s|~(s)))>e)&e)|(((k|z)&a)>v))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l&l)|(~(a)|v))&(((s|z)&k)&f))
|
((l>(z|k))|(~((s|e))&((e&s)|~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((e>e)&(s&(a|(j>j)))))>(s|a)))
|
(((l|s)|a)>(f>~((s&l))))
| 1 | 1 | 0 | 0 |
entailment
|
(((l&l)|(~(a)|v))&(((s|z)&k)&f))
|
(((l|s)|a)>(f>~((s&l))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((e>e)&(s&(a|(j>j)))))>(s|a)))
|
((l>(z|k))|(~((s|e))&((e&s)|~(j))))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&((l|(k>(j&z)))&k))
|
((v|v)>k)
| 1 | 1 | 1 | 0 |
entailment
|
(~(k)&~(((a|s)&~((~(j)>~(a))))))
|
(a>(f>j))
| 1 | 1 | 0 | 0 |
entailment
|
(v&((l|(k>(j&z)))&k))
|
(a>(f>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)&~(((a|s)&~((~(j)>~(a))))))
|
((v|v)>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((a&(v|(s|a)))&((~(l)|e)|v))))
|
((k&((a&~(f))>(e>~((v&(k|l))))))|(f>a))
| 1 | 0 | 0 | 0 |
entailment
|
(((e&s)>(e|(z|s)))>j)
|
((((s&(l&s))>a)|l)>j)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((a&(v|(s|a)))&((~(l)|e)|v))))
|
((((s&(l&s))>a)|l)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&s)>(e|(z|s)))>j)
|
((k&((a&~(f))>(e>~((v&(k|l))))))|(f>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a>a)|l)&f)
|
(~(k)|f)
| 1 | 1 | 0 | 0 |
entailment
|
(~((k>j))&s)
|
(((l>j)>e)>~(~(((s>e)|~(~((j|k)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a>a)|l)&f)
|
(((l>j)>e)>~(~(((s>e)|~(~((j|k)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((k>j))&s)
|
(~(k)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&((v>(l>f))&f))
|
(s|f)
| 1 | 1 | 0 | 0 |
entailment
|
((l&k)&(v>~((~((a>k))>a))))
|
(((z|l)&(~(~((~(~(l))>l)))|~(f)))|s)
| 1 | 0 | 0 | 0 |
entailment
|
(k&((v>(l>f))&f))
|
(((z|l)&(~(~((~(~(l))>l)))|~(f)))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
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