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 |
|---|---|---|---|---|---|---|
~(((z|x)|x))
|
((z&~((~(z)&z)))|x)
| 0 | 0 | 1 | 0 |
not entailment
|
(x&x)
|
(z|(x&x))
| 1 | 0 | 0 | 0 |
entailment
|
~((((x|z)|((x&z)|~(x)))&(z&(z|x))))
|
~((((z|z)&(z>x))&x))
| 1 | 1 | 1 | 0 |
entailment
|
(x&x)
|
~((((z|z)&(z>x))&x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((x|z)|((x&z)|~(x)))&(z&(z|x))))
|
(z|(x&x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((z&(z|(z>~(x))))))
|
((x>~(x))|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(z)
|
(((~(~(z))>(z>z))>x)>~((z|z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((z&(z|(z>~(x))))))
|
(((~(~(z))>(z>z))>x)>~((z|z)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(z)
|
((x>~(x))|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(x|((z&~((x&x)))|x))
|
(~(z)>x)
| 1 | 1 | 1 | 1 |
entailment
|
((x>(z>z))>~(~(((~((x&z))|x)&(x>z)))))
|
(~(x)|((((x>z)|x)|z)>z))
| 1 | 1 | 1 | 1 |
entailment
|
(x|((z&~((x&x)))|x))
|
(~(x)|((((x>z)|x)|z)>z))
| 0 | 0 | 1 | 0 |
not entailment
|
((x>(z>z))>~(~(((~((x&z))|x)&(x>z)))))
|
(~(z)>x)
| 0 | 1 | 1 | 1 |
not entailment
|
((x&~(z))|x)
|
((((x|(z&x))>z)>(z&z))&((z|z)>(z|(x&x))))
| 1 | 0 | 1 | 0 |
entailment
|
~(z)
|
~((((z&x)|~((~(z)|x)))&z))
| 1 | 0 | 0 | 0 |
entailment
|
((x&~(z))|x)
|
~((((z&x)|~((~(z)|x)))&z))
| 0 | 0 | 1 | 0 |
not entailment
|
~(z)
|
((((x|(z&x))>z)>(z&z))&((z|z)>(z|(x&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z|((((z>z)|(x|z))|~(z))>z)))
|
(~((z&z))|x)
| 1 | 1 | 1 | 1 |
entailment
|
((z&z)&((((x&z)&z)|z)|x))
|
(z|x)
| 1 | 1 | 1 | 1 |
entailment
|
~((z|((((z>z)|(x|z))|~(z))>z)))
|
(z|x)
| 0 | 1 | 1 | 1 |
not entailment
|
((z&z)&((((x&z)&z)|z)|x))
|
(~((z&z))|x)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&x)
|
(((~(x)&z)>x)>((x>x)>z))
| 1 | 0 | 1 | 0 |
entailment
|
~(((z>z)&x))
|
~(x)
| 1 | 1 | 1 | 1 |
entailment
|
(z&x)
|
~(x)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z>z)&x))
|
(((~(x)&z)>x)>((x>x)>z))
| 0 | 0 | 1 | 0 |
not entailment
|
(z&(z|z))
|
(z&z)
| 1 | 1 | 1 | 1 |
entailment
|
(x|((z>x)|((z>x)&x)))
|
(z>~(~((x&x))))
| 1 | 1 | 1 | 1 |
entailment
|
(z&(z|z))
|
(z>~(~((x&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x|((z>x)|((z>x)&x)))
|
(z&z)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((((c&c)>r)&n)))
|
(((c&n)&c)>r)
| 1 | 1 | 1 | 0 |
entailment
|
(c&n)
|
(~(((~(r)&(c|~((c>r))))|c))>c)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((c&c)>r)&n)))
|
(~(((~(r)&(c|~((c>r))))|c))>c)
| 0 | 0 | 1 | 0 |
not entailment
|
(c&n)
|
(((c&n)&c)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
~(r)
|
((n|(n&n))|((c|r)>c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c|~(((c|r)>~(r))))>c))
|
(r|r)
| 1 | 1 | 1 | 1 |
entailment
|
~(r)
|
(r|r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c|~(((c|r)>~(r))))>c))
|
((n|(n&n))|((c|r)>c))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|(c|n))&r)
|
((r>(r&~((~(c)&n))))>(r|((r|n)|n)))
| 1 | 0 | 1 | 0 |
entailment
|
(c|~(~(c)))
|
(n>(c&n))
| 1 | 1 | 0 | 0 |
entailment
|
((r|(c|n))&r)
|
(n>(c&n))
| 0 | 1 | 1 | 0 |
not entailment
|
(c|~(~(c)))
|
((r>(r&~((~(c)&n))))>(r|((r|n)|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&(r>((r|r)&((r&n)|c))))&((n|n)|~(r)))
|
~((~(r)&((r&n)>(c&c))))
| 1 | 1 | 1 | 0 |
entailment
|
(((r&(r|c))|r)>~(((c|n)|~(n))))
|
(r>c)
| 1 | 1 | 1 | 0 |
entailment
|
((r&(r>((r|r)&((r&n)|c))))&((n|n)|~(r)))
|
(r>c)
| 0 | 1 | 1 | 1 |
not entailment
|
(((r&(r|c))|r)>~(((c|n)|~(n))))
|
~((~(r)&((r&n)>(c&c))))
| 0 | 1 | 1 | 0 |
not entailment
|
(n>~(~(~(~(r)))))
|
(~(c)>(r|(n>c)))
| 1 | 1 | 0 | 0 |
entailment
|
(n|r)
|
(~((n|(r&(c>((c&(n&c))|c)))))>((c|r)>n))
| 1 | 0 | 0 | 0 |
entailment
|
(n>~(~(~(~(r)))))
|
(~((n|(r&(c>((c&(n&c))|c)))))>((c|r)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(n|r)
|
(~(c)>(r|(n>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((n|r)>((c>n)|n))>c)&n)
|
(c&(~((n>c))>((n|n)>n)))
| 1 | 1 | 1 | 1 |
entailment
|
~(n)
|
~(((c>(~(c)|((n&(r|n))|c)))&n))
| 1 | 0 | 0 | 0 |
entailment
|
((((n|r)>((c>n)|n))>c)&n)
|
~(((c>(~(c)|((n&(r|n))|c)))&n))
| 0 | 0 | 1 | 0 |
not entailment
|
~(n)
|
(c&(~((n>c))>((n|n)>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((c|(n|~((n|n))))|~((n>r))))|(r&c))
|
(~((r|n))|(((n&n)>r)|c))
| 1 | 1 | 1 | 0 |
entailment
|
~(c)
|
((n&~(n))|~((c&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((c|(n|~((n|n))))|~((n>r))))|(r&c))
|
((n&~(n))|~((c&r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(c)
|
(~((r|n))|(((n&n)>r)|c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>(c>n)))
|
((r|c)&(r>r))
| 1 | 1 | 1 | 0 |
entailment
|
(~(r)&(n|n))
|
((n|n)&((r|(r|n))&~(r)))
| 1 | 0 | 1 | 0 |
entailment
|
~((r>(c>n)))
|
((n|n)&((r|(r|n))&~(r)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(r)&(n|n))
|
((r|c)&(r>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c|n)>r)|c))
|
((n&(n|~(c)))|c)
| 1 | 1 | 1 | 1 |
entailment
|
(r&~((r&c)))
|
(r&~(~((r|(r|(r>r))))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((c|n)>r)|c))
|
(r&~(~((r|(r|(r>r))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(r&~((r&c)))
|
((n&(n|~(c)))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((n>r)&c)
|
(((c&(c&(n|c)))|(n&c))|n)
| 1 | 0 | 1 | 0 |
entailment
|
~(((n>n)&(n|(n&((~(c)&n)|n)))))
|
~(~(~((c&(r&((c&c)&n))))))
| 1 | 1 | 0 | 0 |
entailment
|
((n>r)&c)
|
~(~(~((c&(r&((c&c)&n))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((n>n)&(n|(n&((~(c)&n)|n)))))
|
(((c&(c&(n|c)))|(n&c))|n)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((n|n)|((n|n)&r))))
|
(n|r)
| 1 | 1 | 1 | 1 |
entailment
|
~((c>((r>n)>r)))
|
((c|r)|~((~(~((c>~(r))))>(n&n))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((n|n)|((n|n)&r))))
|
((c|r)|~((~(~((c>~(r))))>(n&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>((r>n)>r)))
|
(n|r)
| 0 | 1 | 1 | 0 |
not entailment
|
((c>n)&~((c>~(c))))
|
((n&(c>(n>n)))|n)
| 1 | 1 | 1 | 0 |
entailment
|
(r&c)
|
(r&(r|((r>n)|(n>r))))
| 1 | 0 | 0 | 0 |
entailment
|
((c>n)&~((c>~(c))))
|
(r&(r|((r>n)|(n>r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&c)
|
((n&(c>(n>n)))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(r)>r)&n)
|
~(((r>r)>~(r)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((r&(((c|n)>((c&r)&(r|c)))>n))|c))
|
~(((r|((n|r)&(r&c)))&((~(c)>n)&(r&r))))
| 1 | 0 | 1 | 1 |
entailment
|
((~(r)>r)&n)
|
~(((r|((n|r)&(r&c)))&((~(c)>n)&(r&r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&(((c|n)>((c&r)&(r|c)))>n))|c))
|
~(((r>r)>~(r)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~((((j|c)|(x|j))>(j|(x&j))))>c)|j))
|
~(~(x))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((~(j)&c)|(x&(j>j))))&~(~(~(j))))
|
((x|c)>~(x))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((((j|c)|(x|j))>(j|(x&j))))>c)|j))
|
((x|c)>~(x))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((~(j)&c)|(x&(j>j))))&~(~(~(j))))
|
~(~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
(j>c)
|
(((c&(~(x)&~(x)))&~(x))|(j>((x&x)&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(x|(j&~((((c|c)&c)|(~(j)|~((x|c)))))))
|
(x|x)
| 1 | 1 | 1 | 1 |
entailment
|
(j>c)
|
(x|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(x|(j&~((((c|c)&c)|(~(j)|~((x|c)))))))
|
(((c&(~(x)&~(x)))&~(x))|(j>((x&x)&c)))
| 0 | 1 | 1 | 0 |
not entailment
|
((j|x)&((j>c)|(x&j)))
|
((~((c&(x>c)))>(j>x))|~(~(~(j))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(x)&~(~(~(c))))
|
~(x)
| 1 | 1 | 1 | 1 |
entailment
|
((j|x)&((j>c)|(x&j)))
|
~(x)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(x)&~(~(~(c))))
|
((~((c&(x>c)))>(j>x))|~(~(~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&~((j|(x&x))))&(j>x))
|
~((j|x))
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
((~((c>~(~(x))))|x)>(~(x)>(j&c)))
| 1 | 0 | 0 | 0 |
entailment
|
((c&~((j|(x&x))))&(j>x))
|
((~((c>~(~(x))))|x)>(~(x)>(j&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(c)
|
~((j|x))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>j)|(~(c)&x)))
|
~(~((j>((((c&j)>x)|x)&~(c)))))
| 1 | 0 | 1 | 0 |
entailment
|
(((j&j)&~(x))|j)
|
(~((j>j))|j)
| 1 | 1 | 1 | 0 |
entailment
|
~(((x>j)|(~(c)&x)))
|
(~((j>j))|j)
| 0 | 1 | 1 | 0 |
not entailment
|
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