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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