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 |
|---|---|---|---|---|---|---|
~((x>((v&x)>~(((d>(s>(z>m)))>f)))))
|
~(~((v|(x>(~(~(x))>m)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((h&(k|(r&f)))))
|
((h|s)&(h|(r|z)))
| 1 | 1 | 0 | 0 |
entailment
|
~((x>((v&x)>~(((d>(s>(z>m)))>f)))))
|
((h|s)&(h|(r|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((h&(k|(r&f)))))
|
~(~((v|(x>(~(~(x))>m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((r&h))|(z&h)))&v)
|
((m|h)|(~(((d>m)|(r>(d>h))))|(z&f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~((k|z))))&~(((r|x)&(v&z))))
|
(k>m)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((r&h))|(z&h)))&v)
|
(k>m)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~((k|z))))&~(((r|x)&(v&z))))
|
((m|h)|(~(((d>m)|(r>(d>h))))|(z&f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((v|(v&k))))
|
(((~(p)|e)|(p>e))>(v|k))
| 1 | 0 | 0 | 0 |
entailment
|
(e&p)
|
(e|(p&k))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((v|(v&k))))
|
(e|(p&k))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&p)
|
(((~(p)|e)|(p>e))>(v|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e&(~(v)|e)))
|
((k&e)>p)
| 1 | 1 | 0 | 0 |
entailment
|
~(((e>k)>(e>p)))
|
~((~((v|(p|p)))&(k>v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((e&(~(v)|e)))
|
~((~((v|(p|p)))&(k>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e>k)>(e>p)))
|
((k&e)>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&k)
|
((~(p)|p)>((e&k)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(v)|e))
|
((e>v)>(~(e)|((k&e)&~((k&p)))))
| 1 | 0 | 0 | 0 |
entailment
|
(p&k)
|
((e>v)>(~(e)|((k&e)&~((k&p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(v)|e))
|
((~(p)|p)>((e&k)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>v)>((~(p)&(v>~(v)))&v))
|
(v>e)
| 1 | 1 | 1 | 1 |
entailment
|
(e>k)
|
(p>(~(~((e>k)))|~(~(v))))
| 1 | 0 | 0 | 0 |
entailment
|
((e>v)>((~(p)&(v>~(v)))&v))
|
(p>(~(~((e>k)))|~(~(v))))
| 0 | 1 | 0 | 0 |
not entailment
|
(e>k)
|
(v>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(((e>v)&(e|k))&e))
|
((~((~((p>k))|(e>k)))|e)|(p&(v&v)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((((v|e)>(e>p))>(k>e))&(v>(v|p))))
|
(~((~((v|e))&v))>((v>(k&k))|~((e>v))))
| 1 | 0 | 1 | 0 |
entailment
|
(p&(((e>v)&(e|k))&e))
|
(~((~((v|e))&v))>((v>(k&k))|~((e>v))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((((v|e)>(e>p))>(k>e))&(v>(v|p))))
|
((~((~((p>k))|(e>k)))|e)|(p&(v&v)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(v)|~(((k|e)|(k|p)))))
|
(~((k|(v|(~(k)>k))))>(~((~(k)&p))|k))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~((e>v))))
|
(v>((~((e|p))&((k&k)|e))|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(v)|~(((k|e)|(k|p)))))
|
(v>((~((e|p))&((k&k)|e))|p))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~((e>v))))
|
(~((k|(v|(~(k)>k))))>(~((~(k)&p))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|(k&((v|v)>k)))&((p&((k&k)&e))&(p&k)))
|
(~(~((k&v)))|((e>k)&(v|k)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((e&v)|(v|k))>((k|p)>~(v))))
|
~(~((((v>e)&(~(v)&p))>v)))
| 1 | 1 | 1 | 0 |
entailment
|
((e|(k&((v|v)>k)))&((p&((k&k)&e))&(p&k)))
|
~(~((((v>e)&(~(v)&p))>v)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((e&v)|(v|k))>((k|p)>~(v))))
|
(~(~((k&v)))|((e>k)&(v|k)))
| 0 | 1 | 1 | 0 |
not entailment
|
((k>k)&(v&p))
|
(((((k|v)&k)&(v|(p>e)))&e)|p)
| 1 | 0 | 0 | 0 |
entailment
|
~(p)
|
((~((p>p))>(e&(p>p)))>(p>k))
| 1 | 0 | 0 | 0 |
entailment
|
((k>k)&(v&p))
|
((~((p>p))>(e&(p>p)))>(p>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(p)
|
(((((k|v)&k)&(v|(p>e)))&e)|p)
| 0 | 0 | 0 | 0 |
not entailment
|
((e>(k&v))&(e&~(p)))
|
(~((p|(k>v)))|((k&p)>(v&(p>k))))
| 1 | 0 | 1 | 0 |
entailment
|
((p|p)&(k&e))
|
((~(~(k))&p)&e)
| 1 | 0 | 1 | 1 |
entailment
|
((e>(k&v))&(e&~(p)))
|
((~(~(k))&p)&e)
| 0 | 1 | 1 | 0 |
not entailment
|
((p|p)&(k&e))
|
(~((p|(k>v)))|((k&p)>(v&(p>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&p)
|
(k|e)
| 1 | 1 | 0 | 0 |
entailment
|
~((v>(e&(v&((k&p)>((e|p)&p))))))
|
(v&(e>(((p&v)|v)>v)))
| 1 | 1 | 1 | 1 |
entailment
|
(k&p)
|
(v&(e>(((p&v)|v)>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v>(e&(v&((k&p)>((e|p)&p))))))
|
(k|e)
| 0 | 1 | 1 | 0 |
not entailment
|
(e&(~(p)>p))
|
((v>(k|e))&(e|(k|((e|(e>v))|k))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((k&p))|~((p&v)))>(p&v))
|
(((e>p)>v)&((e&p)>((k|p)&p)))
| 1 | 1 | 0 | 0 |
entailment
|
(e&(~(p)>p))
|
(((e>p)>v)&((e&p)>((k|p)&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((k&p))|~((p&v)))>(p&v))
|
((v>(k|e))&(e|(k|((e|(e>v))|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(k))))
|
~(~((((~(k)>e)&v)>k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|k))
|
~(((~(k)>k)&(p|(e&v))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(k))))
|
~(((~(k)>k)&(p|(e&v))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|k))
|
~(~((((~(k)>e)&v)>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(n)&i)|~(((~(w)>(c&i))>(n|(w|i)))))
|
((c&w)|(~(i)>(i|w)))
| 1 | 1 | 1 | 1 |
entailment
|
(n&(n>c))
|
(((i>c)&w)>n)
| 1 | 0 | 0 | 0 |
entailment
|
((~(n)&i)|~(((~(w)>(c&i))>(n|(w|i)))))
|
(((i>c)&w)>n)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&(n>c))
|
((c&w)|(~(i)>(i|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w&i)&n)|(n|n))
|
(~(~(i))>((n|i)>n))
| 1 | 0 | 1 | 0 |
entailment
|
((w>((i&i)&(i>~(~(n)))))&((c&c)|w))
|
~((~(w)&((n|(c|n))>~(c))))
| 1 | 1 | 1 | 1 |
entailment
|
(((w&i)&n)|(n|n))
|
~((~(w)&((n|(c|n))>~(c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>((i&i)&(i>~(~(n)))))&((c&c)|w))
|
(~(~(i))>((n|i)>n))
| 0 | 1 | 1 | 0 |
not entailment
|
(n&w)
|
(c>~(~((w&c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(i))
|
~(~(((c&c)|i)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&w)
|
~(~(((c&c)|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(i))
|
(c>~(~((w&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&((c|c)&w))
|
(w&w)
| 1 | 1 | 1 | 1 |
entailment
|
(((c&i)&i)&n)
|
(n|n)
| 1 | 1 | 1 | 1 |
entailment
|
(w&((c|c)&w))
|
(n|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&i)&i)&n)
|
(w&w)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(w&(c>((w>w)|n))))
|
((~(((i&c)>w))&(c&c))|w)
| 1 | 0 | 0 | 0 |
entailment
|
(~((i|w))&(w|(n|w)))
|
~((~((i&c))>((c&i)|(c&i))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(w&(c>((w>w)|n))))
|
~((~((i&c))>((c&i)|(c&i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((i|w))&(w|(n|w)))
|
((~(((i&c)>w))&(c&c))|w)
| 0 | 0 | 0 | 0 |
not entailment
|
((w&i)&((i&c)|(((c&i)&~(i))|c)))
|
((w&i)|(w>i))
| 1 | 1 | 1 | 0 |
entailment
|
~((c|~(~((~(~(w))>c)))))
|
((~((i&i))>(c>i))&~((c&w)))
| 1 | 1 | 0 | 0 |
entailment
|
((w&i)&((i&c)|(((c&i)&~(i))|c)))
|
((~((i&i))>(c>i))&~((c&w)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c|~(~((~(~(w))>c)))))
|
((w&i)|(w>i))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(w|c))
|
((i|(c|w))>w)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~((n>n))))>c)>((c|(c&w))&n))
|
(~((w&~((~(c)&w))))>(n&(c&~(w))))
| 1 | 1 | 1 | 0 |
entailment
|
(w&(w|c))
|
(~((w&~((~(c)&w))))>(n&(c&~(w))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(~((n>n))))>c)>((c|(c&w))&n))
|
((i|(c|w))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&i)
|
((n>i)|~(((c&n)&(n&~((c>w))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((n&((w&(n>(c|w)))>(n>((w>c)|c))))))
|
((((~(w)&(~(c)>(c>c)))>(n>w))>w)&n)
| 1 | 1 | 1 | 0 |
entailment
|
(c&i)
|
((((~(w)&(~(c)>(c>c)))>(n>w))>w)&n)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((n&((w&(n>(c|w)))>(n>((w>c)|c))))))
|
((n>i)|~(((c&n)&(n&~((c>w))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(w))))
|
(w&(((((i>c)&i)>(i&i))>w)|(i|c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((w|c)|(i&i))&(c&~(i)))
|
~(~(((c|(i&(n|(i|w))))|~((c>(c|i))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(w))))
|
~(~(((c|(i&(n|(i|w))))|~((c>(c|i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w|c)|(i&i))&(c&~(i)))
|
(w&(((((i>c)&i)>(i&i))>w)|(i|c)))
| 0 | 0 | 1 | 1 |
not entailment
|
(c&(((n>i)>w)&((w>n)>((c|n)&i))))
|
(c|~(n))
| 1 | 1 | 1 | 1 |
entailment
|
((n|w)>(n|n))
|
(i>(w>n))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(((n>i)>w)&((w>n)>((c|n)&i))))
|
(i>(w>n))
| 0 | 1 | 1 | 0 |
not entailment
|
((n|w)>(n|n))
|
(c|~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((c&c)&i)))
|
(c|c)
| 1 | 1 | 1 | 1 |
entailment
|
((w|((w|c)&n))&(w&(i|((i>w)&c))))
|
((i&~((i&w)))>w)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((c&c)&i)))
|
((i&~((i&w)))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
((w|((w|c)&n))&(w&(i|((i>w)&c))))
|
(c|c)
| 0 | 1 | 1 | 1 |
not entailment
|
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