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