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>~((i|l)))&(~(~((l>l)))|l))
((l|i)>(~(i)>i))
1
1
1
0
entailment
(l|~(~((l&l))))
((i>i)&((i>(i&(i>(l&l))))|~(~(~(i)))))
1
0
0
0
entailment
((l>~((i|l)))&(~(~((l>l)))|l))
((i>i)&((i>(i&(i>(l&l))))|~(~(~(i)))))
0
0
1
0
not entailment
(l|~(~((l&l))))
((l|i)>(~(i)>i))
0
1
0
0
not entailment
(i&i)
(((l&(l&l))&(i>~(~(i))))>(i|i))
1
0
0
0
entailment
(l&l)
(l&(((i>l)|l)>~(~((i>(i&(i&l)))))))
1
0
0
0
entailment
(i&i)
(l&(((i>l)|l)>~(~((i>(i&(i&l)))))))
0
0
0
0
not entailment
(l&l)
(((l&(l&l))&(i>~(~(i))))>(i|i))
0
0
0
0
not entailment
(((l&i)|l)&(l|l))
(~(l)>((i&i)|l))
1
1
1
1
entailment
(~(l)|~(~(~(l))))
(i|(((l>~(i))&~(~((i|(l>i)))))|i))
1
0
0
0
entailment
(((l&i)|l)&(l|l))
(i|(((l>~(i))&~(~((i|(l>i)))))|i))
0
0
1
0
not entailment
(~(l)|~(~(~(l))))
(~(l)>((i&i)|l))
0
1
0
0
not entailment
(((((l|i)>l)|l)>l)&i)
(~((l>~((((l&i)&i)>i))))|i)
1
0
1
0
entailment
~(i)
~((l&i))
1
0
0
0
entailment
(((((l|i)>l)|l)>l)&i)
~((l&i))
0
1
1
0
not entailment
~(i)
(~((l>~((((l&i)&i)>i))))|i)
0
0
0
0
not entailment
(~(~(~((l|l))))&(i&i))
(l|i)
1
1
1
0
entailment
~(((l&(l>(i|l)))|((l>l)>(i&((l|i)|l)))))
~(i)
1
1
1
1
entailment
(~(~(~((l|l))))&(i&i))
~(i)
0
1
1
0
not entailment
~(((l&(l>(i|l)))|((l>l)>(i&((l|i)|l)))))
(l|i)
0
1
1
0
not entailment
(((i&l)&i)&(~(~((l|i)))&(l&i)))
(~(~(i))&~(~((i>i))))
1
1
1
0
entailment
~(((~((l&(i>l)))>(l|i))|(~(i)&l)))
~((~(~((l&i)))&l))
1
1
1
1
entailment
(((i&l)&i)&(~(~((l|i)))&(l&i)))
~((~(~((l&i)))&l))
0
1
1
0
not entailment
~(((~((l&(i>l)))>(l|i))|(~(i)&l)))
(~(~(i))&~(~((i>i))))
0
1
1
1
not entailment
(i|l)
(~((i|(l&l)))>l)
1
0
1
1
entailment
~((i|l))
~((((i&(i>i))|((l>i)&(l|i)))&i))
1
0
1
0
entailment
(i|l)
~((((i&(i>i))|((l>i)&(l|i)))&i))
0
0
1
0
not entailment
~((i|l))
(~((i|(l&l)))>l)
0
0
1
0
not entailment
(i&(i>i))
((~(~(l))>l)&i)
1
0
0
0
entailment
~((((i>(l&~((i|i))))>l)>i))
~((i&(l|((i>i)>(i&i)))))
1
1
1
1
entailment
(i&(i>i))
~((i&(l|((i>i)>(i&i)))))
0
0
0
0
not entailment
~((((i>(l&~((i|i))))>l)>i))
((~(~(l))>l)&i)
0
1
1
1
not entailment
((l|i)&i)
(((l&i)&(i|(((i>i)>l)|l)))|(i&(i|i)))
1
0
1
0
entailment
~(l)
(l>~(i))
1
0
0
0
entailment
((l|i)&i)
(l>~(i))
0
1
1
0
not entailment
~(l)
(((l&i)&(i|(((i>i)>l)|l)))|(i&(i|i)))
0
0
0
0
not entailment
(((e>(p>p))|~(~(c)))>(e&c))
((p|p)|e)
1
1
1
1
entailment
~(~((p|~(((c|c)|(e|((e>p)>e)))))))
((~(~(~(p)))&(p|(c&(c|(e>~(e))))))>p)
1
0
1
0
entailment
(((e>(p>p))|~(~(c)))>(e&c))
((~(~(~(p)))&(p|(c&(c|(e>~(e))))))>p)
0
0
1
1
not entailment
~(~((p|~(((c|c)|(e|((e>p)>e)))))))
((p|p)|e)
0
1
1
0
not entailment
((c|p)|c)
((p&(e&(e>e)))|(((c|p)|c)|(p|c)))
1
0
0
0
entailment
(((~(p)|(p>c))>~(c))>(e>(e>c)))
(~((~(~(p))&p))|(e>c))
1
1
1
1
entailment
((c|p)|c)
(~((~(~(p))&p))|(e>c))
0
0
0
0
not entailment
(((~(p)|(p>c))>~(c))>(e>(e>c)))
((p&(e&(e>e)))|(((c|p)|c)|(p|c)))
0
1
1
0
not entailment
(((e&((e>c)&e))|(c&e))|(c&c))
~((~((c&c))&(p|c)))
1
1
0
0
entailment
~((e>~(((p>e)&p))))
((c|(p>p))&(c>p))
1
1
0
0
entailment
(((e&((e>c)&e))|(c&e))|(c&c))
((c|(p>p))&(c>p))
0
1
0
0
not entailment
~((e>~(((p>e)&p))))
~((~((c&c))&(p|c)))
0
1
0
0
not entailment
(c&((e|p)&c))
((~((p|c))|(e>c))&(e|(p&p)))
1
0
1
0
entailment
((p|p)&(p&~(c)))
(~(~(e))>(c>p))
1
1
0
0
entailment
(c&((e|p)&c))
(~(~(e))>(c>p))
0
0
1
0
not entailment
((p|p)&(p&~(c)))
((~((p|c))|(e>c))&(e|(p&p)))
0
0
0
0
not entailment
((c|c)|((c&e)|((~(~(p))&p)|p)))
((e>c)|(p|c))
1
1
1
0
entailment
(((e|p)&(c|p))>~((p|(e|((e>e)|p)))))
(((c>(e|e))>((p|e)|p))>(e|(c|e)))
1
1
1
0
entailment
((c|c)|((c&e)|((~(~(p))&p)|p)))
(((c>(e|e))>((p|e)|p))>(e|(c|e)))
0
1
1
0
not entailment
(((e|p)&(c|p))>~((p|(e|((e>e)|p)))))
((e>c)|(p|c))
0
1
1
0
not entailment
(((p|((e>p)|p))>c)|~((e>c)))
((~((e&(c>e)))>p)|(c|p))
1
1
1
0
entailment
((e&~(c))>~((c>e)))
(((c>p)|(~(c)&p))>(e>p))
1
0
0
0
entailment
(((p|((e>p)|p))>c)|~((e>c)))
(((c>p)|(~(c)&p))>(e>p))
0
1
1
0
not entailment
((e&~(c))>~((c>e)))
((~((e&(c>e)))>p)|(c|p))
0
0
0
0
not entailment
((~(e)&(e>c))>(~((c|p))&(e|c)))
((~(e)>(~(e)>c))|~((((e&p)>p)|~(c))))
1
0
1
0
entailment
(p&(p>p))
((p>~(e))>(p&~(e)))
1
0
0
0
entailment
((~(e)&(e>c))>(~((c|p))&(e|c)))
((p>~(e))>(p&~(e)))
0
1
1
0
not entailment
(p&(p>p))
((~(e)>(~(e)>c))|~((((e&p)>p)|~(c))))
0
0
0
0
not entailment
(c&((((c|c)>e)&(e|c))|~(((~(p)&c)&e))))
(p|(c|(((p|c)&e)&e)))
1
1
1
1
entailment
~((e>c))
((e|c)&e)
1
1
1
0
entailment
(c&((((c|c)>e)&(e|c))|~(((~(p)&c)&e))))
((e|c)&e)
0
1
1
1
not entailment
~((e>c))
(p|(c|(((p|c)&e)&e)))
0
0
0
0
not entailment
(((e&(c|p))>(e&(c|p)))&p)
((p|~(((e|p)>((~(p)|p)&(c>e)))))|e)
1
0
1
1
entailment
(~(((e>e)&(e&(~(p)>e))))&c)
((~((c|p))>(e|c))&c)
1
1
1
0
entailment
(((e&(c|p))>(e&(c|p)))&p)
((~((c|p))>(e|c))&c)
0
1
1
1
not entailment
(~(((e>e)&(e&(~(p)>e))))&c)
((p|~(((e|p)>((~(p)|p)&(c>e)))))|e)
0
0
1
0
not entailment
((e&(c>~(p)))|~(~(((p>p)>(p|e)))))
((~(c)|c)&(p|e))
1
1
1
0
entailment
~((c>((c|e)&e)))
~(e)
1
1
1
1
entailment
((e&(c>~(p)))|~(~(((p>p)>(p|e)))))
~(e)
0
1
1
0
not entailment
~((c>((c|e)&e)))
((~(c)|c)&(p|e))
0
1
0
0
not entailment
((e&p)&c)
~((((c|e)>(p|c))>~(c)))
1
0
1
0
entailment
((((p|(c&p))>p)&~(((e|((p>p)>c))>c)))&p)
~(((p&~(~(~(c))))>(e>c)))
1
1
1
1
entailment
((e&p)&c)
~(((p&~(~(~(c))))>(e>c)))
0
0
1
0
not entailment
((((p|(c&p))>p)&~(((e|((p>p)>c))>c)))&p)
~((((c|e)>(p|c))>~(c)))
0
1
1
0
not entailment
~(~((~((c&e))&(e>e))))
(((~((c>e))>p)>e)>(e>(c>(p&e))))
1
0
0
0
entailment
(c&c)
~(~((p>c)))
1
0
0
0
entailment
~(~((~((c&e))&(e>e))))
~(~((p>c)))
0
1
0
0
not entailment
(c&c)
(((~((c>e))>p)>e)>(e>(c>(p&e))))
0
0
0
0
not entailment
~((~((e>c))>(((p>~(p))>(e|c))>(p>c))))
(~(((e>e)&~(e)))|~(c))
1
1
1
0
entailment
~((~((e>p))|(c>(p|e))))
(e>(e>(~(p)|(((p>(p|e))&(c>c))&~(e)))))
1
0
1
0
entailment
~((~((e>c))>(((p>~(p))>(e|c))>(p>c))))
(e>(e>(~(p)|(((p>(p|e))&(c>c))&~(e)))))
0
1
1
0
not entailment
~((~((e>p))|(c>(p|e))))
(~(((e>e)&~(e)))|~(c))
0
1
1
0
not entailment
~(~((((c>~(q))>~(m))&(m&(~(a)&m)))))
(((~(~((q&a)))&~(~(z)))&(v>z))>~(q))
1
1
0
0
entailment
~(t)
~((v&t))
1
0
0
0
entailment
~(~((((c>~(q))>~(m))&(m&(~(a)&m)))))
~((v&t))
0
1
0
0
not entailment
~(t)
(((~(~((q&a)))&~(~(z)))&(v>z))>~(q))
0
0
0
0
not entailment
((q|m)&((z&~(~(~(t))))|q))
((z>(t>q))|(((v|v)|c)|(m&(z>c))))
1
0
0
0
entailment
~(~(((m|m)&~(s))))
(~(m)>((a&z)|((a&t)|((v&z)|(z&~(m))))))
1
0
0
0
entailment
((q|m)&((z&~(~(~(t))))|q))
(~(m)>((a&z)|((a&t)|((v&z)|(z&~(m))))))
0
0
0
0
not entailment
~(~(((m|m)&~(s))))
((z>(t>q))|(((v|v)|c)|(m&(z>c))))
0
0
0
0
not entailment
(v&~(z))
(~((t>((m&q)&(q&i))))>~(((q&s)&(q>z))))
1
0
0
0
entailment
~((((m>a)>a)>(i&((t>t)|(z&a)))))
~(i)
1
1
1
1
entailment
(v&~(z))
~(i)
0
1
0
0
not entailment
~((((m>a)>a)>(i&((t>t)|(z&a)))))
(~((t>((m&q)&(q&i))))>~(((q&s)&(q>z))))
0
0
0
0
not entailment