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 |
|---|---|---|---|---|---|---|
(~(o)|~((~(l)>(o|o))))
|
~((o&(~((s|((s|o)|l)))|s)))
| 1 | 0 | 0 | 0 |
entailment
|
((o&((o|o)>l))&s)
|
(l&((s&(s&s))>o))
| 1 | 1 | 1 | 0 |
entailment
|
(~(o)|~((~(l)>(o|o))))
|
(l&((s&(s&s))>o))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&((o|o)>l))&s)
|
~((o&(~((s|((s|o)|l)))|s)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(((l>s)&s))>(o&~(l)))&((o>l)>~(s)))
|
(~(l)|~(((s>s)>(o>l))))
| 1 | 1 | 1 | 1 |
entailment
|
(s&(l|s))
|
(~(l)>(l|s))
| 1 | 0 | 1 | 1 |
entailment
|
((~(((l>s)&s))>(o&~(l)))&((o>l)>~(s)))
|
(~(l)>(l|s))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(l|s))
|
(~(l)|~(((s>s)>(o>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(x|l))
|
((o|x)>(c|l))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(~(b)))
|
((c>x)>((x>b)|o))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(x|l))
|
((c>x)>((x>b)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~(~(b)))
|
((o|x)>(c|l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b|b))&((x>((c&l)|(~(x)&l)))&c))
|
(l|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((b|(x>(b&(x>o)))))
|
((~((o&o))>x)|(b&b))
| 1 | 1 | 1 | 0 |
entailment
|
(~((b|b))&((x>((c&l)|(~(x)&l)))&c))
|
((~((o&o))>x)|(b&b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b|(x>(b&(x>o)))))
|
(l|c)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(c)&l)|~(~(l)))
|
(((x&o)&c)>(l&(x|l)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)>x)
|
((~((~(~(c))>~((c|c))))|o)|x)
| 1 | 0 | 0 | 0 |
entailment
|
((~(c)&l)|~(~(l)))
|
((~((~(~(c))>~((c|c))))|o)|x)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)>x)
|
(((x&o)&c)>(l&(x|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|l)&~(~(b)))
|
(l|((b>~(o))>b))
| 1 | 1 | 0 | 0 |
entailment
|
((~((c&(b&l)))&o)&(o&((c>l)&o)))
|
(l>(o|o))
| 1 | 1 | 1 | 1 |
entailment
|
((x|l)&~(~(b)))
|
(l>(o|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((c&(b&l)))&o)&(o&((c>l)&o)))
|
(l|((b>~(o))>b))
| 0 | 1 | 1 | 0 |
not entailment
|
((o&(l&c))&((b&(b&b))&b))
|
((o&o)&((l|l)&o))
| 1 | 1 | 1 | 1 |
entailment
|
(b&~(l))
|
(~(l)|x)
| 1 | 1 | 0 | 0 |
entailment
|
((o&(l&c))&((b&(b&b))&b))
|
(~(l)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&~(l))
|
((o&o)&((l|l)&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>b)&~(b)))
|
(~(l)>(x>b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&((b|o)|(b&c)))
|
((((l>l)&c)|c)>~(((x>(o&x))>(o|o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>b)&~(b)))
|
((((l>l)&c)|c)>~(((x>(o&x))>(o|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&((b|o)|(b&c)))
|
(~(l)>(x>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((o>x))
|
~((c&((c|c)>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&o)
|
((o|x)>((~(c)&(o>c))|l))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>x))
|
((o|x)>((~(c)&(o>c))|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&o)
|
~((c&((c|c)>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l&(l|b))>x)>(((l|l)|l)|(c|(c>b))))>l)
|
((x>l)|(((~((b>o))|(~(b)>b))|o)&o))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((b>(o|x))&(b>o)))&l)|b)
|
(b|((o|(~(b)&b))>(c>~(o))))
| 1 | 1 | 0 | 0 |
entailment
|
((((l&(l|b))>x)>(((l|l)|l)|(c|(c>b))))>l)
|
(b|((o|(~(b)&b))>(c>~(o))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((b>(o|x))&(b>o)))&l)|b)
|
((x>l)|(((~((b>o))|(~(b)>b))|o)&o))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&(l|b))
|
(b>o)
| 1 | 1 | 1 | 0 |
entailment
|
((c|x)&((b&o)|~((~(o)>((b&c)>l)))))
|
~((b>~(b)))
| 1 | 1 | 1 | 1 |
entailment
|
(o&(l|b))
|
~((b>~(b)))
| 0 | 0 | 1 | 1 |
not entailment
|
((c|x)&((b&o)|~((~(o)>((b&c)>l)))))
|
(b>o)
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(x>~(~((o&c)))))
|
(((b&~(~(x)))|x)>(c&(x>(o&o))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&x)
|
(((x>(c>l))|~(((o|c)|x)))|(o&~(o)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(x>~(~((o&c)))))
|
(((x>(c>l))|~(((o|c)|x)))|(o&~(o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&x)
|
(((b&~(~(x)))|x)>(c&(x>(o&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(x))|~((c&o))))
|
(b>((o&o)|(l>x)))
| 1 | 1 | 0 | 0 |
entailment
|
(((l>(b>o))|l)&(((l|o)>~(x))&(l&b)))
|
(((x>b)|o)>(~((c|l))|~(~(l))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(x))|~((c&o))))
|
(((x>b)|o)>(~((c|l))|~(~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l>(b>o))|l)&(((l|o)>~(x))&(l&b)))
|
(b>((o&o)|(l>x)))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&(c>(l&c)))&(c&(c|c)))
|
~(~((~(~(~(~((c|o)))))|l)))
| 1 | 0 | 0 | 0 |
entailment
|
((((((l>l)&b)|l)>o)&(c>b))&((o>x)&x))
|
(l>~(~((o&l))))
| 1 | 1 | 1 | 1 |
entailment
|
((b&(c>(l&c)))&(c&(c|c)))
|
(l>~(~((o&l))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((((l>l)&b)|l)>o)&(c>b))&((o>x)&x))
|
~(~((~(~(~(~((c|o)))))|l)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~(c)&((o&(b|c))|c))))
|
(((b&c)>x)|~(l))
| 1 | 1 | 0 | 0 |
entailment
|
((o>(l&(c&x)))&(((b&o)>x)>c))
|
(~((((x>~(c))|l)&l))>~(o))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(c)&((o&(b|c))|c))))
|
(~((((x>~(c))|l)&l))>~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>(l&(c&x)))&(((b&o)>x)>c))
|
(((b&c)>x)|~(l))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~(b))))
|
(~((b|c))>~(o))
| 1 | 1 | 0 | 0 |
entailment
|
((~(c)>(x>c))|l)
|
((~(l)&(l&c))|(x>(c|l)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(~(b))))
|
((~(l)&(l&c))|(x>(c|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(c)>(x>c))|l)
|
(~((b|c))>~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&((b>o)|~(c)))
|
((b>o)|(o|o))
| 1 | 1 | 1 | 1 |
entailment
|
(~((b>l))&((l>c)&~(l)))
|
((((x|b)>o)>((c|l)|((b&c)&b)))>b)
| 1 | 0 | 0 | 0 |
entailment
|
(c&((b>o)|~(c)))
|
((((x|b)>o)>((c|l)|((b&c)&b)))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((b>l))&((l>c)&~(l)))
|
((b>o)|(o|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&((l>l)|(b>l)))&((c|l)|l))
|
(((o|l)|x)|(((l&c)>~(~((o&c))))&c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((o>x)>x))
|
((o&(x>l))>(((b|x)|b)>((b>x)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
((x&((l>l)|(b>l)))&((c|l)|l))
|
((o&(x>l))>(((b|x)|b)>((b>x)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((o>x)>x))
|
(((o|l)|x)|(((l&c)>~(~((o&c))))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&~((b|x)))|((c>c)&l))
|
(((x|l)|((x>x)>~(b)))|~((x>~((l>c)))))
| 1 | 0 | 1 | 0 |
entailment
|
(b|b)
|
~(~(((o&x)>b)))
| 1 | 0 | 0 | 0 |
entailment
|
((o&~((b|x)))|((c>c)&l))
|
~(~(((o&x)>b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b|b)
|
(((x|l)|((x>x)>~(b)))|~((x>~((l>c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>b)|o))
|
~(~(~((x>b))))
| 1 | 0 | 1 | 1 |
entailment
|
(c&l)
|
((l>c)>(l|~((o>b))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>b)|o))
|
((l>c)>(l|~((o>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&l)
|
~(~(~((x>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|(c&x))&(o|l))&((l|(x>l))|~(o)))
|
((o&o)|((l>(l|x))>l))
| 1 | 1 | 1 | 0 |
entailment
|
(~(b)>~(~(((x&b)&~((x&l))))))
|
(~((b|x))>x)
| 1 | 1 | 1 | 1 |
entailment
|
(((c|(c&x))&(o|l))&((l|(x>l))|~(o)))
|
(~((b|x))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)>~(~(((x&b)&~((x&l))))))
|
((o&o)|((l>(l|x))>l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((q&(q|q))>(~(((q|(q|q))|q))&q)))
|
((q|(q|q))|q)
| 1 | 1 | 1 | 1 |
entailment
|
~(q)
|
(((q&((q&q)|(q&(q>q))))|q)>~((q&q)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((q&(q|q))>(~(((q|(q|q))|q))&q)))
|
(((q&((q&q)|(q&(q>q))))|q)>~((q&q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(q)
|
((q|(q|q))|q)
| 0 | 0 | 1 | 0 |
not entailment
|
(q|((q&q)|(q&~(q))))
|
((q|((((q|q)|q)|q)&(q>q)))&(q|q))
| 1 | 0 | 1 | 1 |
entailment
|
~((~((q|q))>((~(~(q))|q)|q)))
|
(~((q|(q|(q&q))))&~(q))
| 1 | 1 | 1 | 1 |
entailment
|
(q|((q&q)|(q&~(q))))
|
(~((q|(q|(q&q))))&~(q))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~((q|q))>((~(~(q))|q)|q)))
|
((q|((((q|q)|q)|q)&(q>q)))&(q|q))
| 0 | 1 | 1 | 0 |
not entailment
|
((q&q)>~(~(~(q))))
|
(~(~((q>~((~(q)&(q>q))))))&~(q))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(q)&((q&q)&(q|q)))|~((q&(q|q)))))
|
(q|q)
| 1 | 1 | 1 | 1 |
entailment
|
((q&q)>~(~(~(q))))
|
(q|q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(q)&((q&q)&(q|q)))|~((q&(q|q)))))
|
(~(~((q>~((~(q)&(q>q))))))&~(q))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((e&(x|d))|o)|d))
|
((o&(d>~(o)))>i)
| 1 | 1 | 0 | 0 |
entailment
|
(((o|i)&~((d|(p>o))))|s)
|
((s|f)|~(~(p)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((e&(x|d))|o)|d))
|
((s|f)|~(~(p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o|i)&~((d|(p>o))))|s)
|
((o&(d>~(o)))>i)
| 0 | 1 | 1 | 0 |
not entailment
|
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