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|x)&k)&x)
|
((k&~(((~((x&n))>h)|h)))|(z>k))
| 1 | 0 | 0 | 0 |
entailment
|
(~((z>((c&z)>~(c))))|z)
|
((k&~(((~((x&n))>h)|h)))|(z>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x|x)&k)&x)
|
(z&z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z&~(n))>h))
|
((z&n)>(c|~(~(~((c|(x|(z&n))))))))
| 1 | 0 | 0 | 0 |
entailment
|
((x|(x&x))&k)
|
(~((k&(h|z)))>x)
| 1 | 0 | 0 | 0 |
entailment
|
~(((z&~(n))>h))
|
(~((k&(h|z)))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((x|(x&x))&k)
|
((z&n)>(c|~(~(~((c|(x|(z&n))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|~(h))>k)
|
(z>(h|~(~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>h))
|
~(((n&n)&(h&(x>(h&(z>n))))))
| 1 | 0 | 0 | 0 |
entailment
|
((x|~(h))>k)
|
~(((n&n)&(h&(x>(h&(z>n))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>h))
|
(z>(h|~(~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)&k)
|
(~((x>~((h|z))))>~(z))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((x&c))|~((c|((k&~(n))&(n|z))))))
|
(~((z&(~(k)>n)))>x)
| 1 | 1 | 1 | 1 |
entailment
|
(~(z)&k)
|
(~((z&(~(k)>n)))>x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((x&c))|~((c|((k&~(n))&(n|z))))))
|
(~((x>~((h|z))))>~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&c)&(z|(n&c)))
|
((k|(x|h))>(x>c))
| 1 | 1 | 0 | 0 |
entailment
|
((n|(c>~(n)))&k)
|
(k|~(c))
| 1 | 1 | 1 | 1 |
entailment
|
((h&c)&(z|(n&c)))
|
(k|~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
((n|(c>~(n)))&k)
|
((k|(x|h))>(x>c))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((n&k)|(n&z))&(c&x)))>(k&(z&x)))
|
~(((k|c)&(x>(~((n>n))&(x|(k>z))))))
| 1 | 1 | 1 | 0 |
entailment
|
~((z|c))
|
~((~(~((n|h)))&z))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((n&k)|(n&z))&(c&x)))>(k&(z&x)))
|
~((~(~((n|h)))&z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|c))
|
~(((k|c)&(x>(~((n>n))&(x|(k>z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z|k)
|
(~((z|k))>~(h))
| 1 | 0 | 0 | 0 |
entailment
|
((h&x)&((c|n)>~((x|c))))
|
(n>((~(k)|(c|(c|c)))>(((n>c)&h)>(z&n))))
| 1 | 0 | 0 | 0 |
entailment
|
(z|k)
|
(n>((~(k)|(c|(c|c)))>(((n>c)&h)>(z&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&x)&((c|n)>~((x|c))))
|
(~((z|k))>~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(h))
|
(c|h)
| 1 | 1 | 0 | 0 |
entailment
|
(((h&c)>((n>z)|z))>n)
|
((~(z)|(((x>z)|~(x))&x))|n)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(h))
|
((~(z)|(((x>z)|~(x))&x))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&c)>((n>z)|z))>n)
|
(c|h)
| 0 | 1 | 1 | 1 |
not entailment
|
((n>(h|h))&c)
|
~(~((c&(c|z))))
| 1 | 0 | 0 | 0 |
entailment
|
((x&h)&(~(z)&(~(c)|~((x|(x|(c>n)))))))
|
((c&((c&k)|n))>~((x>(n|~((z|x))))))
| 1 | 1 | 0 | 0 |
entailment
|
((n>(h|h))&c)
|
((c&((c&k)|n))>~((x>(n|~((z|x))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&h)&(~(z)&(~(c)|~((x|(x|(c>n)))))))
|
~(~((c&(c|z))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((x&c))|~((k&((x|k)>(k&(x&z)))))))
|
~(((~(((c|h)&(z|~(n))))&n)&((n>z)>h)))
| 1 | 1 | 0 | 0 |
entailment
|
(n>((x&h)&(~(k)|n)))
|
(n>h)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((x&c))|~((k&((x|k)>(k&(x&z)))))))
|
(n>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(n>((x&h)&(~(k)|n)))
|
~(((~(((c|h)&(z|~(n))))&n)&((n>z)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k>n)&(h|h))>(h&(h>z)))>h)
|
((~(((z>k)&(x|z)))|(k>c))>h)
| 1 | 1 | 0 | 0 |
entailment
|
(~(z)&(c&n))
|
((k|((n>k)&x))>(z|(n>(k>c))))
| 1 | 0 | 0 | 0 |
entailment
|
((((k>n)&(h|h))>(h&(h>z)))>h)
|
((k|((n>k)&x))>(z|(n>(k>c))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(z)&(c&n))
|
((~(((z>k)&(x|z)))|(k>c))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(c))
|
(((~(k)>h)&~(c))>((k|(h|x))>x))
| 1 | 0 | 0 | 0 |
entailment
|
(n&n)
|
((h|n)|h)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(c))
|
((h|n)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&n)
|
(((~(k)>h)&~(c))>((k|(h|x))>x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(z)|(((h&~(k))>(h|n))>h)))
|
(~((((k>(k|(c&n)))>(~(n)|h))>c))>~(h))
| 1 | 0 | 0 | 0 |
entailment
|
~((x|(n|k)))
|
~((n&(((~(x)&k)>((h|n)&(k|x)))|(x>h))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(z)|(((h&~(k))>(h|n))>h)))
|
~((n&(((~(x)&k)>((h|n)&(k|x)))|(x>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x|(n|k)))
|
(~((((k>(k|(c&n)))>(~(n)|h))>c))>~(h))
| 0 | 0 | 0 | 0 |
not entailment
|
((q|q)|(q&q))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
~(q)
|
~((((q|(q|q))&q)&((q&q)>q)))
| 1 | 0 | 1 | 0 |
entailment
|
((q|q)|(q&q))
|
~((((q|(q|q))&q)&((q&q)>q)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(q)
|
(q&q)
| 0 | 1 | 1 | 0 |
not entailment
|
(q|q)
|
(~(q)>~((q|(q>q))))
| 1 | 0 | 1 | 0 |
entailment
|
~((q|q))
|
~(((q|q)|q))
| 1 | 0 | 1 | 1 |
entailment
|
(q|q)
|
~(((q|q)|q))
| 0 | 0 | 1 | 0 |
not entailment
|
~((q|q))
|
(~(q)>~((q|(q>q))))
| 0 | 0 | 1 | 0 |
not entailment
|
((q&q)|q)
|
(~(q)>q)
| 1 | 1 | 1 | 1 |
entailment
|
(q>~((q|(q&~(q)))))
|
~((~(((q>~(((q|q)|q)))&q))&(q|(q|q))))
| 1 | 0 | 1 | 1 |
entailment
|
((q&q)|q)
|
~((~(((q>~(((q|q)|q)))&q))&(q|(q|q))))
| 0 | 0 | 1 | 0 |
not entailment
|
(q>~((q|(q&~(q)))))
|
(~(q)>q)
| 0 | 1 | 1 | 1 |
not entailment
|
(((q|q)|(~(q)|q))&((q>q)>q))
|
((((q&q)|(q>q))&q)|~((~(q)|(q|(q&q)))))
| 1 | 0 | 1 | 1 |
entailment
|
~((q&(q>(q&q))))
|
~((q|(q&q)))
| 1 | 1 | 1 | 1 |
entailment
|
(((q|q)|(~(q)|q))&((q>q)>q))
|
~((q|(q&q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((q&(q>(q&q))))
|
((((q&q)|(q>q))&q)|~((~(q)|(q|(q&q)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((q|q)>q)&q)
|
(q&((q|q)|((q&q)|q)))
| 1 | 0 | 1 | 1 |
entailment
|
(~((q>q))|~((q&(q>q))))
|
~(((q&(~(q)&q))|(q&q)))
| 1 | 1 | 1 | 1 |
entailment
|
(((q|q)>q)&q)
|
~(((q&(~(q)&q))|(q&q)))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((q>q))|~((q&(q>q))))
|
(q&((q|q)|((q&q)|q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((p>~(e))&(e>~((e&p)))))
|
((p&e)|~((h>(e|v))))
| 1 | 1 | 0 | 0 |
entailment
|
(s&((s>c)&v))
|
(((h|(c|h))&h)|((c|(v&c))|(h&v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>~(e))&(e>~((e&p)))))
|
(((h|(c|h))&h)|((c|(v&c))|(h&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&((s>c)&v))
|
((p&e)|~((h>(e|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((((c>h)&s)|v)&(e&v))|p))
|
((((p>p)|v)>((e|h)|((s|e)|h)))|~(p))
| 1 | 0 | 1 | 0 |
entailment
|
(~((s&c))>~((~(h)>~(w))))
|
(((p&s)>(s&s))>((s|w)|(v&(h&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((c>h)&s)|v)&(e&v))|p))
|
(((p&s)>(s&s))>((s|w)|(v&(h&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((s&c))>~((~(h)>~(w))))
|
((((p>p)|v)>((e|h)|((s|e)|h)))|~(p))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)&w)
|
(w&~(~(((c&(v&p))|(~(p)>w)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((p&p)|~((c|~(s))))&(p|(e>w)))&s)
|
(s|p)
| 1 | 1 | 1 | 1 |
entailment
|
(~(p)&w)
|
(s|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((((p&p)|~((c|~(s))))&(p|(e>w)))&s)
|
(w&~(~(((c&(v&p))|(~(p)>w)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(c)&w)&(v>w))
|
(w&w)
| 1 | 1 | 1 | 1 |
entailment
|
~(((s>s)>((p|p)>e)))
|
((s|(v&(~((s&(e>e)))|~(~(e)))))|(p|s))
| 1 | 0 | 0 | 0 |
entailment
|
((~(c)&w)&(v>w))
|
((s|(v&(~((s&(e>e)))|~(~(e)))))|(p|s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s>s)>((p|p)>e)))
|
(w&w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((e|w))>w))
|
((h>v)|((c>s)>(w>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c>(e>v))>((s>(v|v))|(w>(e|c)))))
|
(w|((h>(v>e))&c))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((e|w))>w))
|
(w|((h>(v>e))&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>(e>v))>((s>(v|v))|(w>(e|c)))))
|
((h>v)|((c>s)>(w>p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&w)
|
((w&((w&e)>w))|(p|h))
| 1 | 0 | 0 | 0 |
entailment
|
(s&e)
|
((~(e)&(e>h))>(((e>h)>~(v))&h))
| 1 | 0 | 0 | 0 |
entailment
|
(p&w)
|
((~(e)&(e>h))>(((e>h)>~(v))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&e)
|
((w&((w&e)>w))|(p|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&h)
|
~(~((~((v|(e&v)))|c)))
| 1 | 0 | 0 | 0 |
entailment
|
((p>e)|(p&~(p)))
|
(p>e)
| 1 | 1 | 1 | 1 |
entailment
|
(c&h)
|
(p>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((p>e)|(p&~(p)))
|
~(~((~((v|(e&v)))|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~((h|h)))&((h>(s>e))>(p&h)))&e)&v)
|
(((h&h)>((v&p)&p))|s)
| 1 | 1 | 1 | 0 |
entailment
|
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