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 |
|---|---|---|---|---|---|---|
~((l>(x&(l|p)))) | ((x|x)>~((~((x|p))|t))) | 1 | 0 | 0 | 0 | entailment |
(t&(((~(l)>t)>(x>x))>l)) | ((x|x)>~((~((x|p))|t))) | 0 | 1 | 0 | 0 | not entailment |
~((l>(x&(l|p)))) | (((l|x)|((~(t)|x)>t))>(p>t)) | 0 | 0 | 0 | 0 | not entailment |
(~(p)>((x&(~(~(t))&((t&x)|(x|p))))|p)) | ((x|l)>((~((t|p))&(x|l))>t)) | 1 | 1 | 0 | 0 | entailment |
((~((t|l))&t)|l) | ~(~((l|l))) | 1 | 1 | 1 | 1 | entailment |
(~(p)>((x&(~(~(t))&((t&x)|(x|p))))|p)) | ~(~((l|l))) | 0 | 1 | 0 | 0 | not entailment |
((~((t|l))&t)|l) | ((x|l)>((~((t|p))&(x|l))>t)) | 0 | 0 | 0 | 0 | not entailment |
(l&t) | (~(~((t|(((l&l)|x)|l))))|t) | 1 | 0 | 0 | 0 | entailment |
(~(t)&~((p>l))) | ~((~(~(t))&p)) | 1 | 1 | 1 | 0 | entailment |
(l&t) | ~((~(~(t))&p)) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&~((p>l))) | (~(~((t|(((l&l)|x)|l))))|t) | 0 | 0 | 0 | 0 | not entailment |
((~(l)>x)&((x>x)>~(~(p)))) | ((p&t)|(p|p)) | 1 | 1 | 0 | 0 | entailment |
(~(p)&x) | (p>t) | 1 | 1 | 0 | 0 | entailment |
((~(l)>x)&((x>x)>~(~(p)))) | (p>t) | 0 | 1 | 0 | 0 | not entailment |
(~(p)&x) | ((p&t)|(p|p)) | 0 | 0 | 0 | 0 | not entailment |
~(((((p&l)>x)&l)>(((x>l)&x)>(p&t)))) | ((p>p)&~(~(((p|x)&((t&(t|p))>(l&l)))))) | 1 | 0 | 1 | 0 | entailment |
(((((p>p)|(p>x))>p)|(p&t))&(t|(t|(l&t)))) | ((x>(t>t))>~(~((l>p)))) | 1 | 1 | 1 | 0 | entailment |
~(((((p&l)>x)&l)>(((x>l)&x)>(p&t)))) | ((x>(t>t))>~(~((l>p)))) | 0 | 1 | 1 | 0 | not entailment |
(((((p>p)|(p>x))>p)|(p&t))&(t|(t|(l&t)))) | ((p>p)&~(~(((p|x)&((t&(t|p))>(l&l)))))) | 0 | 1 | 1 | 0 | not entailment |
~(((x|(p&t))>~(~(~(~(x)))))) | ((p|((t|l)|l))|((l&p)&t)) | 1 | 1 | 0 | 0 | entailment |
((p>l)&(t|(x|(t|x)))) | (~(l)>~(p)) | 1 | 1 | 1 | 1 | entailment |
~(((x|(p&t))>~(~(~(~(x)))))) | (~(l)>~(p)) | 0 | 1 | 0 | 0 | not entailment |
((p>l)&(t|(x|(t|x)))) | ((p|((t|l)|l))|((l&p)&t)) | 0 | 0 | 1 | 0 | not entailment |
((p&p)&(k|~((a>t)))) | ((p&p)>(a|k)) | 1 | 1 | 1 | 0 | entailment |
((~((a|(k>a)))>(p>p))&~(~(t))) | (~((k>((k|(a|k))|(a>(k|p)))))|(k|(a>t))) | 1 | 0 | 1 | 0 | entailment |
((p&p)&(k|~((a>t)))) | (~((k>((k|(a|k))|(a>(k|p)))))|(k|(a>t))) | 0 | 0 | 1 | 0 | not entailment |
((~((a|(k>a)))>(p>p))&~(~(t))) | ((p&p)>(a|k)) | 0 | 1 | 1 | 0 | not entailment |
(p&a) | ((a>p)|(t|t)) | 1 | 0 | 0 | 0 | entailment |
~(k) | (~(k)|((p>t)&((t|(t>(p|~(a))))|t))) | 1 | 0 | 0 | 0 | entailment |
(p&a) | (~(k)|((p>t)&((t|(t>(p|~(a))))|t))) | 0 | 0 | 0 | 0 | not entailment |
~(k) | ((a>p)|(t|t)) | 0 | 0 | 0 | 0 | not entailment |
~((~((a>~(p)))|(t>((t>k)|(a|(t>p)))))) | (t|~(((t>~(~(k)))>(k>p)))) | 1 | 1 | 1 | 0 | entailment |
(a&((a|a)&p)) | ((p|p)|a) | 1 | 1 | 1 | 1 | entailment |
~((~((a>~(p)))|(t>((t>k)|(a|(t>p)))))) | ((p|p)|a) | 0 | 1 | 1 | 0 | not entailment |
(a&((a|a)&p)) | (t|~(((t>~(~(k)))>(k>p)))) | 0 | 0 | 0 | 0 | not entailment |
~(((t|k)&k)) | (((t&k)&(p>k))>(a&~(~((t|t))))) | 1 | 0 | 0 | 0 | entailment |
((a>a)>p) | ((p|(k>k))&(p|(a&p))) | 1 | 0 | 0 | 0 | entailment |
~(((t|k)&k)) | ((p|(k>k))&(p|(a&p))) | 0 | 0 | 0 | 0 | not entailment |
((a>a)>p) | (((t&k)&(p>k))>(a&~(~((t|t))))) | 0 | 0 | 0 | 0 | not entailment |
((a>k)>(k>(p|t))) | (((((k|~(k))>p)|~(k))|(a|(k&t)))|t) | 1 | 0 | 1 | 0 | entailment |
~((k&a)) | ~((~((p|~(k)))&~((a>p)))) | 1 | 0 | 0 | 0 | entailment |
((a>k)>(k>(p|t))) | ~((~((p|~(k)))&~((a>p)))) | 0 | 0 | 1 | 0 | not entailment |
~((k&a)) | (((((k|~(k))>p)|~(k))|(a|(k&t)))|t) | 0 | 0 | 0 | 0 | not entailment |
(a&((p>k)&a)) | (a|(t|p)) | 1 | 1 | 0 | 0 | entailment |
~(((p>a)&(a|t))) | ((p>p)>((k|((a>t)|(k&a)))|(~(p)>k))) | 1 | 0 | 0 | 0 | entailment |
(a&((p>k)&a)) | ((p>p)>((k|((a>t)|(k&a)))|(~(p)>k))) | 0 | 0 | 0 | 0 | not entailment |
~(((p>a)&(a|t))) | (a|(t|p)) | 0 | 1 | 1 | 0 | not entailment |
~((((p>p)&k)>p)) | (p>a) | 1 | 1 | 0 | 0 | entailment |
((~(((a|a)>t))>~((t|~((k|t)))))>(t>p)) | ((p|(p>p))>~(~((((t>~((a|a)))|p)|p)))) | 1 | 1 | 1 | 0 | entailment |
~((((p>p)&k)>p)) | ((p|(p>p))>~(~((((t>~((a|a)))|p)|p)))) | 0 | 0 | 0 | 0 | not entailment |
((~(((a|a)>t))>~((t|~((k|t)))))>(t>p)) | (p>a) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(~((((t>(p&(~(t)|p)))&t)&a))))) | (((a|a)&t)|((t|(a&a))|(p&a))) | 1 | 1 | 1 | 1 | entailment |
((k|~(p))&((p>a)>(k>p))) | (p>k) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~((((t>(p&(~(t)|p)))&t)&a))))) | (p>k) | 0 | 1 | 0 | 0 | not entailment |
((k|~(p))&((p>a)>(k>p))) | (((a|a)&t)|((t|(a&a))|(p&a))) | 0 | 0 | 0 | 0 | not entailment |
((~((~(~(a))&k))|~(((p&t)>t)))&(a&p)) | ((t|(a>k))>(t>(p>a))) | 1 | 1 | 1 | 0 | entailment |
~(((a|p)&((~(k)&(t|a))>(a|k)))) | ((t|~(a))|(k|(((p&p)&(k&k))&p))) | 1 | 1 | 1 | 0 | entailment |
((~((~(~(a))&k))|~(((p&t)>t)))&(a&p)) | ((t|~(a))|(k|(((p&p)&(k&k))&p))) | 0 | 1 | 1 | 0 | not entailment |
~(((a|p)&((~(k)&(t|a))>(a|k)))) | ((t|(a>k))>(t>(p>a))) | 0 | 1 | 1 | 0 | not entailment |
(((~((~(((p|p)>~(a)))|t))|t)&t)&p) | (((p>(p|(t&a)))&((p&a)|t))&(p|(t&k))) | 1 | 1 | 0 | 0 | entailment |
~(((k>p)|(t&t))) | (a|~(t)) | 1 | 1 | 0 | 0 | entailment |
(((~((~(((p|p)>~(a)))|t))|t)&t)&p) | (a|~(t)) | 0 | 1 | 1 | 0 | not entailment |
~(((k>p)|(t&t))) | (((p>(p|(t&a)))&((p&a)|t))&(p|(t&k))) | 0 | 0 | 0 | 0 | not entailment |
(((a>a)>(t|p))&(((k>p)|(k&k))|a)) | (t|p) | 1 | 1 | 1 | 1 | entailment |
((a|t)&~(((t>(k>(a>a)))>(p|~(a))))) | ((a&a)&(a&a)) | 1 | 1 | 1 | 1 | entailment |
(((a>a)>(t|p))&(((k>p)|(k&k))|a)) | ((a&a)&(a&a)) | 0 | 1 | 1 | 1 | not entailment |
((a|t)&~(((t>(k>(a>a)))>(p|~(a))))) | (t|p) | 0 | 1 | 1 | 0 | not entailment |
(p&((k>(p&~(t)))>p)) | ((t>p)|(a&~(~((a>((p&(p>a))>(p&a))))))) | 1 | 0 | 0 | 0 | entailment |
~((k|p)) | ~((p&a)) | 1 | 1 | 0 | 0 | entailment |
(p&((k>(p&~(t)))>p)) | ~((p&a)) | 0 | 1 | 0 | 0 | not entailment |
~((k|p)) | ((t>p)|(a&~(~((a>((p&(p>a))>(p&a))))))) | 0 | 0 | 0 | 0 | not entailment |
(p&a) | (~(a)>(t&k)) | 1 | 0 | 0 | 0 | entailment |
(k&k) | (~(~((t&a)))|~((a&~(~(~(k)))))) | 1 | 0 | 0 | 0 | entailment |
(p&a) | (~(~((t&a)))|~((a&~(~(~(k)))))) | 0 | 0 | 0 | 0 | not entailment |
(k&k) | (~(a)>(t&k)) | 0 | 0 | 0 | 0 | not entailment |
(a&(~((a|a))>a)) | ((~((((p|(a&t))|k)|a))&t)>((~(k)|p)>p)) | 1 | 0 | 0 | 0 | entailment |
(k|(t|k)) | (~(t)>k) | 1 | 1 | 1 | 1 | entailment |
(a&(~((a|a))>a)) | (~(t)>k) | 0 | 1 | 0 | 0 | not entailment |
(k|(t|k)) | ((~((((p|(a&t))|k)|a))&t)>((~(k)|p)>p)) | 0 | 0 | 0 | 0 | not entailment |
~((~(((a|a)|(~(a)|p)))|(a>~(p)))) | (a|(p|(a&p))) | 1 | 1 | 1 | 1 | entailment |
~(~((~((t>~(p)))>(p>~(((a&k)>t)))))) | (a>(p>~((k&t)))) | 1 | 1 | 1 | 0 | entailment |
~((~(((a|a)|(~(a)|p)))|(a>~(p)))) | (a>(p>~((k&t)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((t>~(p)))>(p>~(((a&k)>t)))))) | (a|(p|(a&p))) | 0 | 1 | 1 | 0 | not entailment |
((p&(a&p))|~((~(t)>a))) | (t>(k|a)) | 1 | 1 | 0 | 0 | entailment |
(((a|t)>k)>~((k>k))) | ~(((p>p)>(k|k))) | 1 | 1 | 0 | 0 | entailment |
((p&(a&p))|~((~(t)>a))) | ~(((p>p)>(k|k))) | 0 | 1 | 0 | 0 | not entailment |
(((a|t)>k)>~((k>k))) | (t>(k|a)) | 0 | 1 | 1 | 0 | not entailment |
((((g&d)|(~(d)|a))|((y|l)|s))>(s&g)) | ((y|(f>(o>g)))|(l>y)) | 1 | 1 | 0 | 0 | entailment |
(((l|a)|i)&i) | ((g>(s&g))>i) | 1 | 1 | 0 | 0 | entailment |
((((g&d)|(~(d)|a))|((y|l)|s))>(s&g)) | ((g>(s&g))>i) | 0 | 1 | 0 | 0 | not entailment |
(((l|a)|i)&i) | ((y|(f>(o>g)))|(l>y)) | 0 | 0 | 0 | 0 | not entailment |
((o|~((l>d)))&~(d)) | ((~((((a>s)|i)&~((o&(d>d)))))|l)|a) | 1 | 0 | 0 | 0 | entailment |
((o>s)&((~((s&(l&i)))|f)&~(y))) | (~(d)>~((s&(o&(y&(~(d)>o)))))) | 1 | 1 | 0 | 0 | entailment |
((o|~((l>d)))&~(d)) | (~(d)>~((s&(o&(y&(~(d)>o)))))) | 0 | 0 | 0 | 0 | not entailment |
((o>s)&((~((s&(l&i)))|f)&~(y))) | ((~((((a>s)|i)&~((o&(d>d)))))|l)|a) | 0 | 0 | 0 | 0 | not entailment |
~((((a&(l>f))&~(((d|s)|d)))>~((a&y)))) | (g>(y|d)) | 1 | 1 | 0 | 0 | entailment |
((g>l)&~(((s&g)>(f&l)))) | (~((~(l)>(~(~(l))>f)))|(((g&f)>l)|d)) | 1 | 0 | 0 | 0 | entailment |
~((((a&(l>f))&~(((d|s)|d)))>~((a&y)))) | (~((~(l)>(~(~(l))>f)))|(((g&f)>l)|d)) | 0 | 1 | 0 | 0 | not entailment |
((g>l)&~(((s&g)>(f&l)))) | (g>(y|d)) | 0 | 1 | 0 | 0 | not entailment |
((~(l)>~((d|y)))&(d>~(d))) | ((d&s)>((g&d)&(g>a))) | 1 | 1 | 0 | 0 | entailment |
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