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 |
|---|---|---|---|---|---|---|
~((p|~((~(d)>u))))
|
(p>(b>l))
| 1 | 1 | 0 | 0 |
entailment
|
(p&f)
|
(p>(b>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|~((~(d)>u))))
|
(((u&f)>(b&(l&d)))>(~(~(p))|(b|(h|l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&h)
|
(u&h)
| 1 | 1 | 1 | 1 |
entailment
|
(((h&d)>(d|((~(v)&l)&p)))&~(v))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
(u&h)
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&d)>(d|((~(v)&l)&p)))&~(v))
|
(u&h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|(n|h)))
|
((h>n)|(n|n))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(~(~(h)))&((h&n)>h))&((h|h)>n)))
|
((~(~(n))|h)&h)
| 1 | 1 | 1 | 1 |
entailment
|
~((n|(n|h)))
|
((~(~(n))|h)&h)
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(~(~(h)))&((h&n)>h))&((h|h)>n)))
|
((h>n)|(n|n))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((~((h&n))>~(n)))&n)
|
((n>n)&n)
| 1 | 1 | 1 | 1 |
entailment
|
(h|(n&(h&n)))
|
((n&h)|~(((n|h)&(n&n))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((~((h&n))>~(n)))&n)
|
((n&h)|~(((n|h)&(n&n))))
| 0 | 1 | 1 | 0 |
not entailment
|
(h|(n&(h&n)))
|
((n>n)&n)
| 0 | 1 | 1 | 0 |
not entailment
|
~(h)
|
(~((h>~((n&n))))>(h&~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
((n&h)&n)
|
(h|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(h)
|
(h|n)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&h)&n)
|
(~((h>~((n&n))))>(h&~(h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((n>h))
|
(((n>~((~((h|n))&h)))>h)>(n&~(h)))
| 1 | 0 | 1 | 0 |
entailment
|
(h&(n&n))
|
(~(n)|((~((n&h))|n)&h))
| 1 | 0 | 1 | 0 |
entailment
|
~((n>h))
|
(~(n)|((~((n&h))|n)&h))
| 0 | 0 | 1 | 0 |
not entailment
|
(h&(n&n))
|
(((n>~((~((h|n))&h)))>h)>(n&~(h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((h|(n>h))|((n>(n&n))&h)))
|
((n>h)>~((n|n)))
| 1 | 1 | 1 | 1 |
entailment
|
(n&(h&(h|~((n&h)))))
|
((n|h)&h)
| 1 | 1 | 1 | 1 |
entailment
|
~(((h|(n>h))|((n>(n&n))&h)))
|
((n|h)&h)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&(h&(h|~((n&h)))))
|
((n>h)>~((n|n)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((~(~(n))>h))))
|
((n>h)>n)
| 1 | 1 | 1 | 1 |
entailment
|
~(n)
|
((n>h)>n)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(~(n))>h))))
|
(n>h)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~(~(n))&h))|~((n>(h|n)))))
|
((((n>((h|n)&h))>n)&n)|n)
| 1 | 1 | 1 | 0 |
entailment
|
~((((n>h)|h)&h))
|
(((h&n)>h)>~(h))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~(~(n))&h))|~((n>(h|n)))))
|
(((h&n)>h)>~(h))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((n>h)|h)&h))
|
((((n>((h|n)&h))>n)&n)|n)
| 0 | 0 | 1 | 0 |
not entailment
|
~((n|h))
|
(h>n)
| 1 | 1 | 1 | 0 |
entailment
|
(((n>(n>n))&(~((h|h))&h))|(n|h))
|
(~(((n&n)|(n&(n&h))))>h)
| 1 | 1 | 1 | 1 |
entailment
|
~((n|h))
|
(~(((n&n)|(n&(n&h))))>h)
| 0 | 0 | 1 | 0 |
not entailment
|
(((n>(n>n))&(~((h|h))&h))|(n|h))
|
(h>n)
| 0 | 1 | 1 | 1 |
not entailment
|
((h|n)&(h>(~(h)|((n|(n|n))&~(n)))))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
(h|((h|n)>h))
|
(n>(h&h))
| 1 | 1 | 1 | 1 |
entailment
|
((h|n)&(h>(~(h)|((n|(n|n))&~(n)))))
|
(n>(h&h))
| 0 | 1 | 1 | 1 |
not entailment
|
(h|((h|n)>h))
|
~(h)
| 0 | 1 | 1 | 1 |
not entailment
|
(((h&h)|~(((~(n)&n)|n)))&((h>h)>~(h)))
|
(~(h)|(h&~((~((n&h))&h))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(n)))&h)
|
(h|((h>(h>(n|(h>h))))&n))
| 1 | 0 | 1 | 0 |
entailment
|
(((h&h)|~(((~(n)&n)|n)))&((h>h)>~(h)))
|
(h|((h>(h>(n|(h>h))))&n))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(~(n)))&h)
|
(~(h)|(h&~((~((n&h))&h))))
| 0 | 0 | 1 | 0 |
not entailment
|
((h&h)&n)
|
((~(((h|(n>h))&(n|h)))&h)|(((h>n)&n)>h))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(((((~(h)>n)|h)>((h>n)>h))|h))))
|
(~((h>n))|~((h&h)))
| 1 | 1 | 1 | 0 |
entailment
|
((h&h)&n)
|
(~((h>n))|~((h&h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~(((((~(h)>n)|h)>((h>n)>h))|h))))
|
((~(((h|(n>h))&(n|h)))&h)|(((h>n)&n)>h))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~(~(n)))))
|
(n>~(((n>n)&((h|n)>(h&h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&((h&h)&n))
|
((n&n)|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(~(n)))))
|
((n&n)|n)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&((h&h)&n))
|
(n>~(((n>n)&((h|n)>(h&h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((h|((((h>h)&h)&(j>j))|h))))
|
((j&~(h))>~((((h>j)>j)&j)))
| 1 | 1 | 1 | 1 |
entailment
|
((j&j)|(j&(j&h)))
|
(~(j)>(j&(h&j)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((h|((((h>h)&h)&(j>j))|h))))
|
(~(j)>(j&(h&j)))
| 0 | 1 | 1 | 1 |
not entailment
|
((j&j)|(j&(j&h)))
|
((j&~(h))>~((((h>j)>j)&j)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((j>j)&h)|((h>h)>h))
|
(~(~((h&(h>h))))&((((h&j)|h)>j)>(h>j)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((j&j)>((h|((h>h)&h))|h)))
|
((j&j)>~((j&h)))
| 1 | 1 | 1 | 0 |
entailment
|
(((j>j)&h)|((h>h)>h))
|
((j&j)>~((j&h)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((j&j)>((h|((h>h)&h))|h)))
|
(~(~((h&(h>h))))&((((h&j)|h)>j)>(h>j)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((h>(~(h)&~(h))))
|
((h|~(h))>(h&~(~(h))))
| 1 | 0 | 1 | 0 |
entailment
|
~(h)
|
((j|h)>(h>((j&h)|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~((h>(~(h)&~(h))))
|
((j|h)>(h>((j&h)|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
((h|~(h))>(h&~(~(h))))
| 0 | 0 | 1 | 0 |
not entailment
|
((h|(j>j))>((((j>j)|j)&((j&j)>h))&~(j)))
|
((((j&h)|j)|(((h>h)>j)|((h|j)|j)))>h)
| 1 | 1 | 1 | 1 |
entailment
|
((~(((~(h)>j)>(j>(((j|j)>j)|j))))>j)&j)
|
(h|j)
| 1 | 1 | 1 | 0 |
entailment
|
((h|(j>j))>((((j>j)|j)&((j&j)>h))&~(j)))
|
(h|j)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(((~(h)>j)>(j>(((j|j)>j)|j))))>j)&j)
|
((((j&h)|j)|(((h>h)>j)|((h|j)|j)))>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(j>(h&~(j)))
|
((h&(h|h))|~((~(~(h))|(j|j))))
| 1 | 0 | 1 | 0 |
entailment
|
(j&j)
|
(~(j)>(~((~(~((h|h)))|~(j)))&(j&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(j>(h&~(j)))
|
(~(j)>(~((~(~((h|h)))|~(j)))&(j&h)))
| 0 | 0 | 1 | 0 |
not entailment
|
(j&j)
|
((h&(h|h))|~((~(~(h))|(j|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(j>h))
|
(j&h)
| 1 | 1 | 1 | 1 |
entailment
|
(~(j)&h)
|
(j>(((((j>j)>j)>j)>h)>~(h)))
| 1 | 0 | 1 | 0 |
entailment
|
(j&(j>h))
|
(j>(((((j>j)>j)>j)>h)>~(h)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(j)&h)
|
(j&h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&((j>h)>j))
|
(h>j)
| 1 | 1 | 1 | 1 |
entailment
|
(~(j)|(~(j)&((h|(j>j))&(h|j))))
|
(h>(((h>(j|j))&j)>(((j&h)&~(h))&h)))
| 1 | 0 | 1 | 0 |
entailment
|
(h&((j>h)>j))
|
(h>(((h>(j|j))&j)>(((j&h)&~(h))&h)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(j)|(~(j)&((h|(j>j))&(h|j))))
|
(h>j)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~((h|h)))|(~(~(j))>(h&(j&j))))>j)
|
(j|(h&j))
| 1 | 1 | 1 | 0 |
entailment
|
((j|h)&~(j))
|
(((((j>h)|~(j))|h)&h)&~(j))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~((h|h)))|(~(~(j))>(h&(j&j))))>j)
|
(((((j>h)|~(j))|h)&h)&~(j))
| 0 | 1 | 1 | 0 |
not entailment
|
((j|h)&~(j))
|
(j|(h&j))
| 0 | 1 | 1 | 1 |
not entailment
|
((h>j)&~(h))
|
~(~(~(((h|h)&(j|~((~(h)&j)))))))
| 1 | 0 | 1 | 0 |
entailment
|
~((j>~(h)))
|
(~(~(j))>(h|h))
| 1 | 0 | 1 | 0 |
entailment
|
((h>j)&~(h))
|
(~(~(j))>(h|h))
| 0 | 0 | 1 | 0 |
not entailment
|
~((j>~(h)))
|
~(~(~(((h|h)&(j|~((~(h)&j)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(b)&q)
|
(~(q)|~(b))
| 1 | 0 | 1 | 0 |
entailment
|
(((v|(q|(q&q)))|((b|v)|(n>q)))>((d&n)&q))
|
((a&(q>d))|~(~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(b)&q)
|
((a&(q>d))|~(~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v|(q|(q&q)))|((b|v)|(n>q)))>((d&n)&q))
|
(~(q)|~(b))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(((b>a)&(n|a)))|a))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
(d&a)
|
(~((~(q)>(q&b)))>d)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((b>a)&(n|a)))|a))
|
(~((~(q)>(q&b)))>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&a)
|
~(b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&a)
|
((n|n)|((v>q)|a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(n)&~((b&q)))
|
~((n&b))
| 1 | 1 | 1 | 1 |
entailment
|
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