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
|
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