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 |
---|---|---|---|---|---|---|
~((p>(p>t))) | (~((t&t))|~(t)) | 1 | 0 | 1 | 1 | entailment |
((((p|t)&(t&p))&((p|t)&t))&t) | ((((p|((t|p)>t))>~(~(t)))|t)&(t&t)) | 1 | 0 | 1 | 0 | entailment |
~((p>(p>t))) | ((((p|((t|p)>t))>~(~(t)))|t)&(t&t)) | 0 | 0 | 1 | 0 | not entailment |
((((p|t)&(t&p))&((p|t)&t))&t) | (~((t&t))|~(t)) | 0 | 1 | 1 | 0 | not entailment |
(((p&((t>p)&~(t)))>(~(p)&p))&(p&p)) | (t|p) | 1 | 1 | 1 | 1 | entailment |
~(t) | ~((((p>(p|(t>t)))&t)|(t&p))) | 1 | 0 | 0 | 0 | entailment |
(((p&((t>p)&~(t)))>(~(p)&p))&(p&p)) | ~((((p>(p|(t>t)))&t)|(t&p))) | 0 | 1 | 1 | 0 | not entailment |
~(t) | (t|p) | 0 | 1 | 0 | 0 | not entailment |
(~(((n&y)>~((n&((o&y)|y)))))&~(o)) | ((~((y&(y>n)))>(n&o))&(((o>y)&(y>o))>y)) | 1 | 0 | 1 | 0 | entailment |
~(((y&o)>((y&(o&n))&(o&n)))) | ~(((n>n)&n)) | 1 | 1 | 1 | 0 | entailment |
(~(((n&y)>~((n&((o&y)|y)))))&~(o)) | ~(((n>n)&n)) | 0 | 1 | 1 | 0 | not entailment |
~(((y&o)>((y&(o&n))&(o&n)))) | ((~((y&(y>n)))>(n&o))&(((o>y)&(y>o))>y)) | 0 | 0 | 1 | 0 | not entailment |
(~(y)>o) | (~((~(~(~(y)))&(y>o)))|(n>o)) | 1 | 0 | 0 | 0 | entailment |
(~((o&o))&n) | (~(~(~((n>y))))>~(o)) | 1 | 0 | 0 | 0 | entailment |
(~(y)>o) | (~(~(~((n>y))))>~(o)) | 0 | 0 | 0 | 0 | not entailment |
(~((o&o))&n) | (~((~(~(~(y)))&(y>o)))|(n>o)) | 0 | 0 | 0 | 0 | not entailment |
~(((y|(y&n))>(o&~(n)))) | (~(~((y&(~((o>o))>n))))|~((y>y))) | 1 | 0 | 1 | 0 | entailment |
~(((~(n)&~(((n&n)|(o|o))))|(n|n))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
~(((y|(y&n))>(o&~(n)))) | ~(n) | 0 | 1 | 1 | 0 | not entailment |
~(((~(n)&~(((n&n)|(o|o))))|(n|n))) | (~(~((y&(~((o>o))>n))))|~((y>y))) | 0 | 1 | 0 | 0 | not entailment |
(~((((n&n)|y)&(o&(o|n))))&~(((y&y)>n))) | (~(y)>(y&(o|y))) | 1 | 1 | 1 | 0 | entailment |
((~(y)>o)&~(~(((o|((y>o)&o))|n)))) | (n|o) | 1 | 1 | 1 | 1 | entailment |
(~((((n&n)|y)&(o&(o|n))))&~(((y&y)>n))) | (n|o) | 0 | 1 | 1 | 0 | not entailment |
((~(y)>o)&~(~(((o|((y>o)&o))|n)))) | (~(y)>(y&(o|y))) | 0 | 1 | 1 | 1 | not entailment |
(y&(o>n)) | (o|(((~(n)>(o>n))&y)|y)) | 1 | 0 | 1 | 0 | entailment |
(~(~(n))|((o&((o|y)|y))&(o&~(n)))) | (n|((~(o)|o)>~(((o|n)>n)))) | 1 | 1 | 1 | 0 | entailment |
(y&(o>n)) | (n|((~(o)|o)>~(((o|n)>n)))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(n))|((o&((o|y)|y))&(o&~(n)))) | (o|(((~(n)>(o>n))&y)|y)) | 0 | 1 | 1 | 0 | not entailment |
(y&o) | (~(o)>(o|~((~(n)|o)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~(((o>(y>y))&~(o)))))) | ~(((~((o&o))>(y>n))&(o|~(((y>y)|y))))) | 1 | 0 | 0 | 0 | entailment |
(y&o) | ~(((~((o&o))>(y>n))&(o|~(((y>y)|y))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~(((o>(y>y))&~(o)))))) | (~(o)>(o|~((~(n)|o)))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~((~(n)>n)))&(o|y))|~(o))) | (y|o) | 1 | 1 | 1 | 0 | entailment |
(n&((~(o)>n)>(n>n))) | ((((n&(y>y))|(n|~((y|n))))|n)|~(o)) | 1 | 0 | 0 | 0 | entailment |
~(((~(~((~(n)>n)))&(o|y))|~(o))) | ((((n&(y>y))|(n|~((y|n))))|n)|~(o)) | 0 | 1 | 1 | 0 | not entailment |
(n&((~(o)>n)>(n>n))) | (y|o) | 0 | 1 | 0 | 0 | not entailment |
((y>y)>o) | (~((((y|n)>o)>y))|y) | 1 | 0 | 0 | 0 | entailment |
(((((n&n)>n)|y)>n)&~((n&y))) | (~(n)>n) | 1 | 1 | 1 | 1 | entailment |
((y>y)>o) | (~(n)>n) | 0 | 1 | 0 | 0 | not entailment |
(((((n&n)>n)|y)>n)&~((n&y))) | (~((((y|n)>o)>y))|y) | 0 | 1 | 0 | 0 | not entailment |
((y&n)&(n|o)) | (((o>((y|y)|o))|(o&(o&(~(n)|o))))&y) | 1 | 0 | 1 | 0 | entailment |
(n>((n|n)>(o&y))) | (n>o) | 1 | 1 | 1 | 1 | entailment |
((y&n)&(n|o)) | (n>o) | 0 | 1 | 1 | 0 | not entailment |
(n>((n|n)>(o&y))) | (((o>((y|y)|o))|(o&(o&(~(n)|o))))&y) | 0 | 0 | 1 | 0 | not entailment |
((((n|~(o))|y)&n)&o) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
(((o&y)|o)&y) | ((((o|n)|(n|y))|(y&(y&~((o&y)))))&y) | 1 | 0 | 0 | 0 | entailment |
((((n|~(o))|y)&n)&o) | ((((o|n)|(n|y))|(y&(y&~((o&y)))))&y) | 0 | 0 | 1 | 0 | not entailment |
(((o&y)|o)&y) | ~(~(n)) | 0 | 1 | 0 | 0 | not entailment |
(n&((o&n)>y)) | ((n>n)&((~(n)>o)|y)) | 1 | 0 | 1 | 0 | entailment |
(((y|(y&(o&n)))>(o&(n&y)))>~(n)) | (~(~(o))>~(((n&(n|n))|~(o)))) | 1 | 1 | 1 | 1 | entailment |
(n&((o&n)>y)) | (~(~(o))>~(((n&(n|n))|~(o)))) | 0 | 0 | 1 | 0 | not entailment |
(((y|(y&(o&n)))>(o&(n&y)))>~(n)) | ((n>n)&((~(n)>o)|y)) | 0 | 1 | 1 | 1 | not entailment |
(y|((y>n)&(y&y))) | ((o|n)>(~((y&y))>(y&o))) | 1 | 0 | 0 | 0 | entailment |
(n&(o>(((o>n)&(o>o))&(n>o)))) | (((n&n)&n)&((~(o)|n)|y)) | 1 | 1 | 0 | 0 | entailment |
(y|((y>n)&(y&y))) | (((n&n)&n)&((~(o)|n)|y)) | 0 | 0 | 0 | 0 | not entailment |
(n&(o>(((o>n)&(o>o))&(n>o)))) | ((o|n)>(~((y&y))>(y&o))) | 0 | 1 | 0 | 0 | not entailment |
~(((n>((n|(o&n))&y))&~(n))) | ~((~(n)|~((n|(~(n)|(y>y)))))) | 1 | 0 | 1 | 0 | entailment |
~(n) | ~(((n&(o|o))&~((n>((n&(n>y))>~(o)))))) | 1 | 0 | 0 | 0 | entailment |
~(((n>((n|(o&n))&y))&~(n))) | ~(((n&(o|o))&~((n>((n&(n>y))>~(o)))))) | 0 | 0 | 1 | 1 | not entailment |
~(n) | ~((~(n)|~((n|(~(n)|(y>y)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((y>(o>y))>n)) | (~((o>o))|~((o&n))) | 1 | 0 | 1 | 0 | entailment |
(((y|(n|(o>y)))>n)&(n&(o|o))) | (((o>(o|n))>~(((n>n)&~((n>n)))))>n) | 1 | 0 | 1 | 0 | entailment |
~(((y>(o>y))>n)) | (((o>(o|n))>~(((n>n)&~((n>n)))))>n) | 0 | 0 | 1 | 0 | not entailment |
(((y|(n|(o>y)))>n)&(n&(o|o))) | (~((o>o))|~((o&n))) | 0 | 1 | 1 | 0 | not entailment |
(y|~(((y&(o&n))|~(y)))) | (y&(n|y)) | 1 | 1 | 1 | 0 | entailment |
(n&n) | (~((n>~((y>y))))&~((~(y)&y))) | 1 | 0 | 0 | 0 | entailment |
(y|~(((y&(o&n))|~(y)))) | (~((n>~((y>y))))&~((~(y)&y))) | 0 | 0 | 1 | 0 | not entailment |
(n&n) | (y&(n|y)) | 0 | 0 | 0 | 0 | not entailment |
(((o&~((((o>n)&(n|n))>n)))>n)>(~(n)&y)) | (((n|~(~((o&n))))&n)>~(y)) | 1 | 1 | 1 | 0 | entailment |
~((~(n)|~(((n|n)&y)))) | (n&((o&(y&(~(y)|o)))|(n&((n|n)&~(o))))) | 1 | 0 | 0 | 0 | entailment |
(((o&~((((o>n)&(n|n))>n)))>n)>(~(n)&y)) | (n&((o&(y&(~(y)|o)))|(n&((n|n)&~(o))))) | 0 | 1 | 1 | 0 | not entailment |
~((~(n)|~(((n|n)&y)))) | (((n|~(~((o&n))))&n)>~(y)) | 0 | 0 | 0 | 0 | not entailment |
~((o|~(y))) | (y&((~((n|y))>(~(n)&~(y)))|o)) | 1 | 0 | 0 | 0 | entailment |
(((~(~(y))&o)|o)|o) | (~(o)>n) | 1 | 1 | 0 | 0 | entailment |
~((o|~(y))) | (~(o)>n) | 0 | 1 | 0 | 0 | not entailment |
(((~(~(y))&o)|o)|o) | (y&((~((n|y))>(~(n)&~(y)))|o)) | 0 | 0 | 0 | 0 | not entailment |
((((l>l)&p)>(~(((p|(p|l))|l))&~(p)))>p) | ((p&(p|p))&(l|~((l|l)))) | 1 | 1 | 1 | 1 | entailment |
~((l>p)) | ((l|~(l))&~(~((((l|(p|l))>(l>l))>l)))) | 1 | 0 | 1 | 0 | entailment |
((((l>l)&p)>(~(((p|(p|l))|l))&~(p)))>p) | ((l|~(l))&~(~((((l|(p|l))>(l>l))>l)))) | 0 | 1 | 1 | 1 | not entailment |
~((l>p)) | ((p&(p|p))&(l|~((l|l)))) | 0 | 0 | 1 | 0 | not entailment |
((p|p)|l) | (p|l) | 1 | 1 | 1 | 1 | entailment |
~(((l>p)>((((p>l)|(p>~(~(l))))|l)>p))) | (((l|((l|(p&~(p)))&(l|l)))>(p&l))|p) | 1 | 1 | 1 | 1 | entailment |
((p|p)|l) | (((l|((l|(p&~(p)))&(l|l)))>(p&l))|p) | 0 | 0 | 1 | 0 | not entailment |
~(((l>p)>((((p>l)|(p>~(~(l))))|l)>p))) | (p|l) | 0 | 1 | 1 | 1 | not entailment |
(l&(p&p)) | (((((p&p)>p)>l)&((l>p)|p))|l) | 1 | 0 | 1 | 0 | entailment |
(~((((l>p)>l)|l))&(((p&p)|p)>(l>p))) | ~(~((~(l)|(~((l&p))&(p|p))))) | 1 | 1 | 1 | 1 | entailment |
(l&(p&p)) | ~(~((~(l)|(~((l&p))&(p|p))))) | 0 | 0 | 1 | 0 | not entailment |
(~((((l>p)>l)|l))&(((p&p)|p)>(l>p))) | (((((p&p)>p)>l)&((l>p)|p))|l) | 0 | 1 | 1 | 0 | not entailment |
(((l>((p|l)|p))|(l>l))>~((p&(l|l)))) | (l>(~(l)|(p>~(l)))) | 1 | 1 | 1 | 1 | entailment |
(p&l) | ((~(p)|p)&l) | 1 | 0 | 1 | 0 | entailment |
(((l>((p|l)|p))|(l>l))>~((p&(l|l)))) | ((~(p)|p)&l) | 0 | 1 | 1 | 0 | not entailment |
(p&l) | (l>(~(l)|(p>~(l)))) | 0 | 0 | 1 | 0 | not entailment |
((~(p)|~(l))&(l|l)) | (p>((l|l)&p)) | 1 | 1 | 1 | 0 | entailment |
(p&((l|l)>p)) | ((((l|~((l|p)))>(l&l))|l)&(l>(p&(p|p)))) | 1 | 0 | 1 | 0 | entailment |
((~(p)|~(l))&(l|l)) | ((((l|~((l|p)))>(l&l))|l)&(l>(p&(p|p)))) | 0 | 0 | 1 | 0 | not entailment |
(p&((l|l)>p)) | (p>((l|l)&p)) | 0 | 1 | 1 | 0 | not entailment |
~(((((p|~(l))>(~(p)|p))>l)|p)) | ~(~(~((l|l)))) | 1 | 1 | 1 | 1 | entailment |
((l>l)&((~((l&p))>l)&~(((p&p)&l)))) | ~(~((l&~(p)))) | 1 | 1 | 1 | 1 | entailment |
~(((((p|~(l))>(~(p)|p))>l)|p)) | ~(~((l&~(p)))) | 0 | 1 | 1 | 1 | not entailment |
((l>l)&((~((l&p))>l)&~(((p&p)&l)))) | ~(~(~((l|l)))) | 0 | 1 | 1 | 1 | not entailment |
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