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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