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 |
|---|---|---|---|---|---|---|
~((~((c|d))>d))
|
(~(~((x&(c>c))))|(d>x))
| 1 | 0 | 0 | 0 |
entailment
|
((x|~(~(w)))&(w&d))
|
(~(~((x&(c>c))))|(d>x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((c|d))>d))
|
(~(~(d))|(c|c))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((c&x)&((x|~(d))>c))))
|
(x|c)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(((w>d)|c))))
|
(c>(c&d))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((c&x)&((x|~(d))>c))))
|
(c>(c&d))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((w>d)|c))))
|
(x|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>l))
|
~(~(~(((i>(i|i))>l))))
| 1 | 0 | 1 | 0 |
entailment
|
((l>~(i))>(i&l))
|
((l|i)&l)
| 1 | 1 | 1 | 1 |
entailment
|
~((i>l))
|
((l|i)&l)
| 0 | 1 | 1 | 0 |
not entailment
|
((l>~(i))>(i&l))
|
~(~(~(((i>(i|i))>l))))
| 0 | 0 | 1 | 0 |
not entailment
|
((l>~(l))|~((l|~((l|i)))))
|
((~(i)>~(~(l)))>i)
| 1 | 1 | 1 | 0 |
entailment
|
(l|l)
|
(~((i|i))|l)
| 1 | 0 | 0 | 0 |
entailment
|
((l>~(l))|~((l|~((l|i)))))
|
(~((i|i))|l)
| 0 | 1 | 1 | 0 |
not entailment
|
(l|l)
|
((~(i)>~(~(l)))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
(((l>l)&~(l))&(~((l>(l>i)))>l))
|
~(((i|l)&~(((l>i)&i))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((l|i)))
|
((l|(l>i))&(~(~(i))|l))
| 1 | 0 | 1 | 0 |
entailment
|
(((l>l)&~(l))&(~((l>(l>i)))>l))
|
((l|(l>i))&(~(~(i))|l))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((l|i)))
|
~(((i|l)&~(((l>i)&i))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((i|l)&i)&l)
|
(l|(((i|l)&l)&l))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~((i|~((l&(i|i))))))>(~(l)&(l>i)))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
(((i|l)&i)&l)
|
~(l)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((i|~((l&(i|i))))))>(~(l)&(l>i)))
|
(l|(((i|l)&l)&l))
| 0 | 1 | 1 | 1 |
not entailment
|
((l|~((((l|i)|i)|~(l))))>i)
|
(~(l)|i)
| 1 | 1 | 1 | 1 |
entailment
|
(((i>i)>i)>(i>~((i&((l>l)&((l&i)|i))))))
|
~((~(i)>(~((i|i))>(i|i))))
| 1 | 1 | 1 | 1 |
entailment
|
((l|~((((l|i)|i)|~(l))))>i)
|
~((~(i)>(~((i|i))>(i|i))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((i>i)>i)>(i>~((i&((l>l)&((l&i)|i))))))
|
(~(l)|i)
| 0 | 1 | 1 | 1 |
not entailment
|
((i|~((((~((l>i))|(i|(l>l)))|i)|l)))|i)
|
((l&l)>i)
| 1 | 1 | 1 | 1 |
entailment
|
(~((l>i))&l)
|
~((~(((l&~((l&i)))&(i&i)))&i))
| 1 | 0 | 1 | 0 |
entailment
|
((i|~((((~((l>i))|(i|(l>l)))|i)|l)))|i)
|
~((~(((l&~((l&i)))&(i&i)))&i))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((l>i))&l)
|
((l&l)>i)
| 0 | 1 | 1 | 0 |
not entailment
|
~((i>(i&((i|i)>(i>l)))))
|
((l|l)>i)
| 1 | 1 | 1 | 1 |
entailment
|
((i>l)&l)
|
(l&((((l&i)&l)>l)&(l|(i>(l|~(i))))))
| 1 | 0 | 1 | 0 |
entailment
|
~((i>(i&((i|i)>(i>l)))))
|
(l&((((l&i)&l)>l)&(l|(i>(l|~(i))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((i>l)&l)
|
((l|l)>i)
| 0 | 1 | 1 | 0 |
not entailment
|
(l&(~((((i>l)|l)|i))|((i&l)|i)))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
~(((l&(l|i))&(l>(i&i))))
|
~((i&(i>l)))
| 1 | 1 | 1 | 0 |
entailment
|
(l&(~((((i>l)|l)|i))|((i&l)|i)))
|
~((i&(i>l)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((l&(l|i))&(l>(i&i))))
|
(l&l)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((l&l))&((~((i|l))>((i|l)&l))|l))
|
(~(~((l|i)))>i)
| 1 | 1 | 1 | 0 |
entailment
|
(l&(~((l&(i&l)))>~(i)))
|
~(~((i>l)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((l&l))&((~((i|l))>((i|l)&l))|l))
|
~(~((i>l)))
| 0 | 1 | 1 | 0 |
not entailment
|
(l&(~((l&(i&l)))>~(i)))
|
(~(~((l|i)))>i)
| 0 | 1 | 1 | 0 |
not entailment
|
(((i|i)&(l|l))|l)
|
(((i>(i|~(i)))&(l|l))|((l&~(i))|(i|i)))
| 1 | 0 | 1 | 0 |
entailment
|
~((l&(((i>(~(i)&l))|i)&(i>i))))
|
(~((i|(l>i)))>~((l>((i>l)|i))))
| 1 | 1 | 1 | 0 |
entailment
|
(((i|i)&(l|l))|l)
|
(~((i|(l>i)))>~((l>((i>l)|i))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((l&(((i>(~(i)&l))|i)&(i>i))))
|
(((i>(i|~(i)))&(l|l))|((l&~(i))|(i|i)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((l>i)&(i&l))))
|
((i|(i|i))&(((l>i)|l)&l))
| 1 | 0 | 1 | 1 |
entailment
|
~((~((i&i))>~((i|~(l)))))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((l>i)&(i&l))))
|
~(l)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((i&i))>~((i|~(l)))))
|
((i|(i|i))&(((l>i)|l)&l))
| 0 | 1 | 1 | 0 |
not entailment
|
(n&((k|y)&(z&y)))
|
~(~(~(~((((z>z)>z)|(~(c)|z))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|(p|z)))
|
~(((p&z)&(p>((c>e)>e))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&((k|y)&(z&y)))
|
~(((p&z)&(p>((c>e)>e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|(p|z)))
|
~(~(~(~((((z>z)>z)|(~(c)|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&y)|~(~((k&(m&m)))))
|
(((e&~(y))&(e>m))>k)
| 1 | 1 | 0 | 0 |
entailment
|
(m&p)
|
(k|(((z>m)|(n&(k|k)))>(~(m)>((k&m)|e))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&y)|~(~((k&(m&m)))))
|
(k|(((z>m)|(n&(k|k)))>(~(m)>((k&m)|e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&p)
|
(((e&~(y))&(e>m))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
(y|y)
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((z>(~(~(p))&z)))
|
(p>m)
| 1 | 1 | 0 | 0 |
entailment
|
(y|y)
|
(p>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>(~(~(p))&z)))
|
(y|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((n>~((~(p)|(y|k))))&m)
|
((((k>k)>k)&(m|(n>z)))|(m&m))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(~(y))|m)>((n&z)&k))&(p&m))|(c&p))
|
((k&~((c|n)))>(((e>p)&~(c))&(z|c)))
| 1 | 1 | 0 | 0 |
entailment
|
((n>~((~(p)|(y|k))))&m)
|
((k&~((c|n)))>(((e>p)&~(c))&(z|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~(~(y))|m)>((n&z)&k))&(p&m))|(c&p))
|
((((k>k)>k)&(m|(n>z)))|(m&m))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(e))
|
(n>(((n>p)|z)|e))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>((k&~(m))&~((y>p)))))
|
((k>n)&((z&(n|n))>(~(z)>((p>e)|k))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(e))
|
((k>n)&((z&(n|n))>(~(z)>((p>e)|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>((k&~(m))&~((y>p)))))
|
(n>(((n>p)|z)|e))
| 0 | 1 | 0 | 0 |
not entailment
|
((e>~(z))&p)
|
(p|(y&(n|z)))
| 1 | 1 | 0 | 0 |
entailment
|
((z>y)>~((((k&(k|c))|(z>(z&n)))|y)))
|
(z&(n|(((~(c)|c)|n)|n)))
| 1 | 1 | 1 | 0 |
entailment
|
((e>~(z))&p)
|
(z&(n|(((~(c)|c)|n)|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>y)>~((((k&(k|c))|(z>(z&n)))|y)))
|
(p|(y&(n|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((p|m)&(e&z)))&(k&~(((p>c)|z))))
|
(((p|y)&c)>(y|(e|(z>y))))
| 1 | 1 | 0 | 0 |
entailment
|
(m|m)
|
(m&(~(c)>((m>(c>p))|k)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((p|m)&(e&z)))&(k&~(((p>c)|z))))
|
(m&(~(c)>((m>(c>p))|k)))
| 0 | 1 | 1 | 0 |
not entailment
|
(m|m)
|
(((p|y)&c)>(y|(e|(z>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~((((c&p)|n)&(z&(k>y)))))&m)&c)&e)
|
(((c>m)&p)>((e|m)|m))
| 1 | 1 | 1 | 0 |
entailment
|
(~(y)&n)
|
((n>(~(~(y))&k))>~(~((p&(~(n)>n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~((((c&p)|n)&(z&(k>y)))))&m)&c)&e)
|
((n>(~(~(y))&k))>~(~((p&(~(n)>n)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(y)&n)
|
(((c>m)&p)>((e|m)|m))
| 0 | 0 | 0 | 0 |
not entailment
|
((((y>p)>(e&c))>p)&e)
|
((p&~(~(~(e))))>(~(e)&m))
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&(z>~(k)))
|
~((~(~(y))&z))
| 1 | 1 | 1 | 1 |
entailment
|
((((y>p)>(e&c))>p)&e)
|
~((~(~(y))&z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)&(z>~(k)))
|
((p&~(~(~(e))))>(~(e)&m))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((p|y))&((n>m)|m))&~((n|k)))
|
((~(~(n))>p)|(p&(((c>n)&c)|~((z&p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(e)&z)|z)
|
((e>e)>z)
| 1 | 1 | 1 | 0 |
entailment
|
((~((p|y))&((n>m)|m))&~((n|k)))
|
((e>e)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(e)&z)|z)
|
((~(~(n))>p)|(p&(((c>n)&c)|~((z&p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(k&n))
|
(~((m|(p&p)))>k)
| 1 | 0 | 0 | 0 |
entailment
|
~((n>(k|z)))
|
((~((m>~(k)))>e)&((p&z)>(z|m)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(k&n))
|
((~((m>~(k)))>e)&((p&z)>(z|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>(k|z)))
|
(~((m|(p&p)))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
(k&~(((k>n)&y)))
|
(k|(~((e|(z>~(~((e>c))))))&k))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((n|c)|y))|y)&(e|k))&~(~(n)))
|
~(~(((((n|e)|((c|e)&m))|~(c))|z)))
| 1 | 1 | 0 | 0 |
entailment
|
(k&~(((k>n)&y)))
|
~(~(((((n|e)|((c|e)&m))|~(c))|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(((n|c)|y))|y)&(e|k))&~(~(n)))
|
(k|(~((e|(z>~(~((e>c))))))&k))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&k)&k)
|
((e|(~(e)>y))|~((~(n)|(((k&n)&k)>k))))
| 1 | 0 | 0 | 0 |
entailment
|
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