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>a)|a)&a)
|
~(((~(~(a))&((a>a)>(f>f)))>~((a&a))))
| 1 | 0 | 0 | 0 |
entailment
|
(x&((~(((f|x)&a))>f)|(x|~(a))))
|
(a>x)
| 1 | 1 | 1 | 1 |
entailment
|
(((a>a)|a)&a)
|
(a>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&((~(((f|x)&a))>f)|(x|~(a))))
|
~(((~(~(a))&((a>a)>(f>f)))>~((a&a))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((f|x)&((a>f)>((x&x)>x)))>x)
|
(f>((((f|f)|(f&f))&a)|~((((x&a)|x)>a))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(((x|x)|(x|f))))&((x>(x>x))&f))
|
(a>(f|(a>x)))
| 1 | 1 | 0 | 0 |
entailment
|
(((f|x)&((a>f)>((x&x)>x)))>x)
|
(a>(f|(a>x)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(((x|x)|(x|f))))&((x>(x>x))&f))
|
(f>((((f|f)|(f&f))&a)|~((((x&a)|x)>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(a)&x)
|
((f&f)|~((x>a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(f)>(x|~((a>~(x))))))
|
((x>x)>~((f|(a&f))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(a)&x)
|
((x>x)>~((f|(a&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(f)>(x|~((a>~(x))))))
|
((f&f)|~((x>a)))
| 0 | 1 | 1 | 0 |
not entailment
|
((x|((f&a)|~(((a>a)&x))))>x)
|
((a&a)>x)
| 1 | 1 | 1 | 1 |
entailment
|
((((f>x)|(f|f))|(~(x)&(a>~(f))))&a)
|
(a|(a|((a|f)&a)))
| 1 | 1 | 1 | 1 |
entailment
|
((x|((f&a)|~(((a>a)&x))))>x)
|
(a|(a|((a|f)&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((f>x)|(f|f))|(~(x)&(a>~(f))))&a)
|
((a&a)>x)
| 0 | 1 | 1 | 1 |
not entailment
|
(f|f)
|
(f|((x|~(a))&(f|(f|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&f)|((a|~((f|x)))&a))|~(~(x)))
|
(((a|(a|(~(x)>x)))|(x&f))|a)
| 1 | 1 | 1 | 1 |
entailment
|
(f|f)
|
(((a|(a|(~(x)>x)))|(x&f))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(((a&f)|((a|~((f|x)))&a))|~(~(x)))
|
(f|((x|~(a))&(f|(f|x))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f&f)&a)&a)
|
((a>(a&x))>(x|(x&(a&~(a)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(a)&f)))
|
~((a&x))
| 1 | 1 | 0 | 0 |
entailment
|
(((f&f)&a)&a)
|
~((a&x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(a)&f)))
|
((a>(a&x))>(x|(x&(a&~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((a>x))&(((x|x)&f)&x)))&x)
|
(x|(~(a)>~(f)))
| 1 | 1 | 1 | 0 |
entailment
|
(x>f)
|
~(~((f|~(x))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((~((a>x))&(((x|x)&f)&x)))&x)
|
~(~((f|~(x))))
| 0 | 1 | 1 | 0 |
not entailment
|
(x>f)
|
(x|(~(a)>~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(f)|(f>f))&a))
|
~((a&(f>a)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((a|(~(f)|(x&f)))&(~(f)>x)))|x))
|
((a|(f|x))>((f&(a|a))|((a&x)|(x&x))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(f)|(f>f))&a))
|
((a|(f|x))>((f&(a|a))|((a&x)|(x&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((a|(~(f)|(x&f)))&(~(f)>x)))|x))
|
~((a&(f>a)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((a&((x>a)&f)))&((f>~(~(f)))>(x>a)))
|
~((((x>f)&(x|x))&a))
| 1 | 1 | 1 | 1 |
entailment
|
((a>f)&x)
|
(f>x)
| 1 | 1 | 1 | 0 |
entailment
|
(~((a&((x>a)&f)))&((f>~(~(f)))>(x>a)))
|
(f>x)
| 0 | 1 | 1 | 1 |
not entailment
|
((a>f)&x)
|
~((((x>f)&(x|x))&a))
| 0 | 0 | 1 | 0 |
not entailment
|
(((a|a)>f)&(f>~(f)))
|
(f>(x|~(((a|f)|a))))
| 1 | 1 | 0 | 0 |
entailment
|
(((f&f)>a)&~((a>~(a))))
|
((((a|(f&f))>a)|a)&(((f>a)|a)&(a|x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((a|a)>f)&(f>~(f)))
|
((((a|(f&f))>a)|a)&(((f>a)|a)&(a|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&f)>a)&~((a>~(a))))
|
(f>(x|~(((a|f)|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&((h|h)>b))&((d>l)|h))
|
((((h>l)>b)>((b>l)|h))>d)
| 1 | 1 | 1 | 0 |
entailment
|
(b&(h&(l>h)))
|
((l|d)>h)
| 1 | 1 | 0 | 0 |
entailment
|
((d&((h|h)>b))&((d>l)|h))
|
((l|d)>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(b&(h&(l>h)))
|
((((h>l)>b)>((b>l)|h))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((l|l)|l)))
|
(l|(b>h))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((h>(h>d))>~((d>~((h|b)))))))
|
((d&((d&(~(h)&d))>b))|(b>h))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((l|l)|l)))
|
((d&((d&(~(h)&d))>b))|(b>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((h>(h>d))>~((d>~((h|b)))))))
|
(l|(b>h))
| 0 | 1 | 0 | 0 |
not entailment
|
((l&(l>d))&((~(h)&h)|d))
|
~(~(((~(b)>(l>d))|(l&b))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((b>l)))&(d|l))&~((((d|d)>l)&b)))
|
(~(b)|~((d|~(((l>l)>(d|b))))))
| 1 | 1 | 1 | 0 |
entailment
|
((l&(l>d))&((~(h)&h)|d))
|
(~(b)|~((d|~(((l>l)>(d|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((b>l)))&(d|l))&~((((d|d)>l)&b)))
|
~(~(((~(b)>(l>d))|(l&b))))
| 0 | 1 | 1 | 0 |
not entailment
|
(l&h)
|
(l|((~(~(b))|(b|d))>(d|l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((h|d))&b)
|
(~((h&d))>(b|((~((d>h))|(h>~(d)))>d)))
| 1 | 0 | 1 | 0 |
entailment
|
(l&h)
|
(~((h&d))>(b|((~((d>h))|(h>~(d)))>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h|d))&b)
|
(l|((~(~(b))|(b|d))>(d|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b&~((d|l)))&(b|(h&b)))
|
~(((h>l)&d))
| 1 | 1 | 1 | 1 |
entailment
|
~(((d&(b|(b|d)))>h))
|
~((~((h>d))&(b>h)))
| 1 | 1 | 1 | 1 |
entailment
|
((b&~((d|l)))&(b|(h&b)))
|
~((~((h>d))&(b>h)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((d&(b|(b|d)))>h))
|
~(((h>l)&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((l|l)>(l|h))&l)|b))
|
(~((l&h))|(d|b))
| 1 | 1 | 0 | 0 |
entailment
|
((((l&(b>l))&(h&l))>h)&l)
|
((l|(((b>d)|(h>d))>((d>((l|l)&l))&h)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((l|l)>(l|h))&l)|b))
|
((l|(((b>d)|(h>d))>((d>((l|l)&l))&h)))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
((((l&(b>l))&(h&l))>h)&l)
|
(~((l&h))|(d|b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((l|b)>((d&l)>~((d|~(l)))))|b))
|
(b|(b|d))
| 1 | 1 | 1 | 1 |
entailment
|
(h&(l|b))
|
(l>h)
| 1 | 1 | 1 | 0 |
entailment
|
~((((l|b)>((d&l)>~((d|~(l)))))|b))
|
(l>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(l|b))
|
(b|(b|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((l&h)|~((l|l)))|~(~((b&b)))))
|
(h>b)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((d>((h|h)&l))))
|
(~(d)|h)
| 1 | 1 | 1 | 1 |
entailment
|
~((((l&h)|~((l|l)))|~(~((b&b)))))
|
(~(d)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((d>((h|h)&l))))
|
(h>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b&l)|~(h)))
|
(((l|l)|~((d&~(((h|h)|b)))))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((d>l)|h)&d))
|
((h&(h&d))>~((l>~((b|~(b))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b&l)|~(h)))
|
((h&(h&d))>~((l>~((b|~(b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d>l)|h)&d))
|
(((l|l)|~((d&~(((h|h)|b)))))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
((h&((d>h)>d))|(((b>~(b))&l)&~(l)))
|
(h|h)
| 1 | 1 | 1 | 1 |
entailment
|
(l&(h>((l|h)&~((d>h)))))
|
((~(~(((d|h)&h)))|l)>(l&((h|b)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
((h&((d>h)>d))|(((b>~(b))&l)&~(l)))
|
((~(~(((d|h)&h)))|l)>(l&((h|b)>l)))
| 0 | 1 | 1 | 0 |
not entailment
|
(l&(h>((l|h)&~((d>h)))))
|
(h|h)
| 0 | 1 | 1 | 1 |
not entailment
|
~((h|d))
|
~((~((d|~((l>l))))>~(~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
((l>l)&(l|b))
|
(l|b)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|d))
|
(l|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((l>l)&(l|b))
|
~((~((d|~((l>l))))>~(~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((h|h)))&l)&h)
|
(l|(d>~(((b&d)>h))))
| 1 | 1 | 0 | 0 |
entailment
|
~(h)
|
((h>b)|d)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((h|h)))&l)&h)
|
((h>b)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
(l|(d>~(((b&d)>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((b>d))&h)
|
((h&d)>(~((d|l))&h))
| 1 | 0 | 0 | 0 |
entailment
|
(~((l|(h&l)))&b)
|
~(~(~((l&b))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((b>d))&h)
|
~(~(~((l&b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((l|(h&l)))&b)
|
((h&d)>(~((d|l))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b&(d&b))|(((~(b)&b)&(l|l))>l))&h)
|
(~((h|l))>(h&(b&(l&(b&h)))))
| 1 | 1 | 1 | 1 |
entailment
|
(b&~((~((~((l&l))&d))&b)))
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(((b&(d&b))|(((~(b)&b)&(l|l))>l))&h)
|
(d&d)
| 0 | 1 | 1 | 1 |
not entailment
|
(b&~((~((~((l&l))&d))&b)))
|
(~((h|l))>(h&(b&(l&(b&h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>((~((z|y))|b)&b))>a)
|
(b>((o>a)&(b&a)))
| 1 | 1 | 1 | 0 |
entailment
|
(((z|o)>(m&m))&o)
|
(((z&(y|a))&((a&m)>y))>(b|~(~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
((o>((~((z|y))|b)&b))>a)
|
(((z&(y|a))&((a&m)>y))>(b|~(~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z|o)>(m&m))&o)
|
(b>((o>a)&(b&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
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