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 |
|---|---|---|---|---|---|---|
((n>e)>~(x)) | ((r|n)|(x>~((a|n)))) | 1 | 0 | 0 | 0 | entailment |
(e&a) | (~(((a|a)|e))>~(n)) | 1 | 0 | 0 | 0 | entailment |
((n>e)>~(x)) | (~(((a|a)|e))>~(n)) | 0 | 0 | 0 | 0 | not entailment |
(e&a) | ((r|n)|(x>~((a|n)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e|(r&(a&n))))|(~(e)>x))) | ~((x&(~(~((a&((a>d)|n))))&(r&x)))) | 1 | 0 | 0 | 0 | entailment |
(((a&x)&x)|e) | ((x|(e&n))|e) | 1 | 1 | 0 | 0 | entailment |
~((~((e|(r&(a&n))))|(~(e)>x))) | ((x|(e&n))|e) | 0 | 1 | 1 | 0 | not entailment |
(((a&x)&x)|e) | ~((x&(~(~((a&((a>d)|n))))&(r&x)))) | 0 | 0 | 0 | 0 | not entailment |
(r&(((e>a)&a)&a)) | (r>(n>(a|e))) | 1 | 1 | 0 | 0 | entailment |
~((e|~(d))) | (((((e>n)>x)&(e>d))&n)>((~(x)&a)|d)) | 1 | 0 | 0 | 0 | entailment |
(r&(((e>a)&a)&a)) | (((((e>n)>x)&(e>d))&n)>((~(x)&a)|d)) | 0 | 0 | 0 | 0 | not entailment |
~((e|~(d))) | (r>(n>(a|e))) | 0 | 1 | 0 | 0 | not entailment |
((x&(e&r))&((d>d)>(((a>n)>r)>(d|r)))) | ~((((x&n)>(~(~(x))>e))&~(r))) | 1 | 1 | 1 | 0 | entailment |
((~(e)>((x|e)>x))&((n>r)>~(d))) | (((d>n)|x)>(d>n)) | 1 | 1 | 1 | 0 | entailment |
((x&(e&r))&((d>d)>(((a>n)>r)>(d|r)))) | (((d>n)|x)>(d>n)) | 0 | 1 | 1 | 0 | not entailment |
((~(e)>((x|e)>x))&((n>r)>~(d))) | ~((((x&n)>(~(~(x))>e))&~(r))) | 0 | 1 | 1 | 0 | not entailment |
~(((x>x)>((~((a|x))&e)>x))) | ((e|r)&e) | 1 | 1 | 0 | 0 | entailment |
(a&(x&r)) | (a|(a&~((n&e)))) | 1 | 0 | 0 | 0 | entailment |
~(((x>x)>((~((a|x))&e)>x))) | (a|(a&~((n&e)))) | 0 | 1 | 0 | 0 | not entailment |
(a&(x&r)) | ((e|r)&e) | 0 | 1 | 0 | 0 | not entailment |
((((r&a)|n)>~(~(a)))&(d&n)) | (~(((a|e)|x))>~(r)) | 1 | 1 | 0 | 0 | entailment |
~((r&d)) | ~((d&(r&((n&n)>a)))) | 1 | 0 | 0 | 0 | entailment |
((((r&a)|n)>~(~(a)))&(d&n)) | ~((d&(r&((n&n)>a)))) | 0 | 1 | 1 | 0 | not entailment |
~((r&d)) | (~(((a|e)|x))>~(r)) | 0 | 0 | 0 | 0 | not entailment |
~(((r&a)>((d>a)>d))) | ~(~((~((~(r)>r))>(a|e)))) | 1 | 0 | 0 | 0 | entailment |
((n&x)&x) | ((x|e)&(((x|~((x>~((d&a)))))&(n|e))>x)) | 1 | 0 | 0 | 0 | entailment |
~(((r&a)>((d>a)>d))) | ((x|e)&(((x|~((x>~((d&a)))))&(n|e))>x)) | 0 | 0 | 0 | 0 | not entailment |
((n&x)&x) | ~(~((~((~(r)>r))>(a|e)))) | 0 | 0 | 0 | 0 | not entailment |
((r|d)&(e&(~(((~(a)>x)&r))&d))) | ~((e>(d>~((a>e))))) | 1 | 1 | 1 | 1 | entailment |
(((a&r)&d)&(e|r)) | ((~(r)>~(a))>((a>r)&a)) | 1 | 0 | 1 | 0 | entailment |
((r|d)&(e&(~(((~(a)>x)&r))&d))) | ((~(r)>~(a))>((a>r)&a)) | 0 | 1 | 1 | 0 | not entailment |
(((a&r)&d)&(e|r)) | ~((e>(d>~((a>e))))) | 0 | 0 | 1 | 0 | not entailment |
((a>(n>x))&(r&e)) | ((~(d)|((~(x)&(a&(d|x)))>e))|(x&(d|a))) | 1 | 0 | 0 | 0 | entailment |
~(r) | ~((x&r)) | 1 | 0 | 0 | 0 | entailment |
((a>(n>x))&(r&e)) | ~((x&r)) | 0 | 1 | 1 | 0 | not entailment |
~(r) | ((~(d)|((~(x)&(a&(d|x)))>e))|(x&(d|a))) | 0 | 0 | 0 | 0 | not entailment |
~(~(e)) | ~((e>~(((a|e)|(r|x))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((x&(d|d))&(n|(r&e))))) | ((((r|x)&x)|x)|(a&((x>e)>(a>e)))) | 1 | 0 | 0 | 0 | entailment |
~(~(e)) | ((((r|x)&x)|x)|(a&((x>e)>(a>e)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((x&(d|d))&(n|(r&e))))) | ~((e>~(((a|e)|(r|x))))) | 0 | 1 | 0 | 0 | not entailment |
~((e>a)) | ((((((e>a)&(a>x))>(r|n))>d)&a)>~(x)) | 1 | 0 | 0 | 0 | entailment |
((e&(d|d))&(x>(e&(r&d)))) | (x|(n>(d|(d&d)))) | 1 | 1 | 0 | 0 | entailment |
~((e>a)) | (x|(n>(d|(d&d)))) | 0 | 0 | 0 | 0 | not entailment |
((e&(d|d))&(x>(e&(r&d)))) | ((((((e>a)&(a>x))>(r|n))>d)&a)>~(x)) | 0 | 0 | 0 | 0 | not entailment |
((((r|(x>r))>(a>e))|d)>((x|~(n))>(a&n))) | (((~(~(r))&~(n))>(d>(r>e)))|a) | 1 | 1 | 1 | 0 | entailment |
((x|d)&(d&(((n&a)|x)&r))) | ~(~((~(~((n&a)))|x))) | 1 | 1 | 1 | 1 | entailment |
((((r|(x>r))>(a>e))|d)>((x|~(n))>(a&n))) | ~(~((~(~((n&a)))|x))) | 0 | 1 | 1 | 0 | not entailment |
((x|d)&(d&(((n&a)|x)&r))) | (((~(~(r))&~(n))>(d>(r>e)))|a) | 0 | 0 | 0 | 0 | not entailment |
(r&(n&e)) | ((r|d)|~((d>x))) | 1 | 0 | 0 | 0 | entailment |
~((~(((a&a)&(e&a)))>x)) | (x>(x>d)) | 1 | 1 | 0 | 0 | entailment |
(r&(n&e)) | (x>(x>d)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((a&a)&(e&a)))>x)) | ((r|d)|~((d>x))) | 0 | 1 | 0 | 0 | not entailment |
(d|e) | (((~(n)&((r&d)>(a&(d&(d|n)))))|e)|d) | 1 | 0 | 0 | 0 | entailment |
(a&~((e&x))) | (n|a) | 1 | 1 | 0 | 0 | entailment |
(d|e) | (n|a) | 0 | 1 | 0 | 0 | not entailment |
(a&~((e&x))) | (((~(n)&((r&d)>(a&(d&(d|n)))))|e)|d) | 0 | 0 | 0 | 0 | not entailment |
((a|a)&(r>~(x))) | (((d|((e|e)|r))>(n|r))>(a|(d&x))) | 1 | 0 | 0 | 0 | entailment |
~(((~(e)>x)>((n|n)|(e|e)))) | (d|(~(n)&(((d&a)>~(d))|((x>e)|r)))) | 1 | 0 | 0 | 0 | entailment |
((a|a)&(r>~(x))) | (d|(~(n)&(((d&a)>~(d))|((x>e)|r)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(e)>x)>((n|n)|(e|e)))) | (((d|((e|e)|r))>(n|r))>(a|(d&x))) | 0 | 0 | 0 | 0 | not entailment |
((((r&r)|d)&x)&n) | ((x&(n&(~(d)|x)))|n) | 1 | 0 | 1 | 0 | entailment |
((~(a)|n)&~(a)) | (d|~((((r|d)|x)&(n&a)))) | 1 | 0 | 0 | 0 | entailment |
((((r&r)|d)&x)&n) | (d|~((((r|d)|x)&(n&a)))) | 0 | 0 | 0 | 0 | not entailment |
((~(a)|n)&~(a)) | ((x&(n&(~(d)|x)))|n) | 0 | 0 | 0 | 0 | not entailment |
(a&d) | (~(~(~((((r|a)>n)&~(n)))))>((x|a)|x)) | 1 | 0 | 0 | 0 | entailment |
~((((n&a)|(d>n))|(r>x))) | (~((((a&~(x))|~((e&r)))>a))|((n>n)>r)) | 1 | 0 | 0 | 0 | entailment |
(a&d) | (~((((a&~(x))|~((e&r)))>a))|((n>n)>r)) | 0 | 0 | 0 | 0 | not entailment |
~((((n&a)|(d>n))|(r>x))) | (~(~(~((((r|a)>n)&~(n)))))>((x|a)|x)) | 0 | 0 | 1 | 0 | not entailment |
(e&e) | (n>((r|d)>e)) | 1 | 0 | 0 | 0 | entailment |
((x|~(~(~((~(((e>x)&e))>(r|e))))))&r) | (e>(~(n)>(a|x))) | 1 | 1 | 0 | 0 | entailment |
(e&e) | (e>(~(n)>(a|x))) | 0 | 0 | 0 | 0 | not entailment |
((x|~(~(~((~(((e>x)&e))>(r|e))))))&r) | (n>((r|d)>e)) | 0 | 1 | 0 | 0 | not entailment |
((s&o)&((s&s)|o)) | (r|s) | 1 | 1 | 0 | 0 | entailment |
(((s&(z>r))>(s>s))>z) | ~((~((((o&r)|o)>z))&(r&o))) | 1 | 0 | 0 | 0 | entailment |
((s&o)&((s&s)|o)) | ~((~((((o&r)|o)>z))&(r&o))) | 0 | 0 | 0 | 0 | not entailment |
(((s&(z>r))>(s>s))>z) | (r|s) | 0 | 1 | 1 | 1 | not entailment |
(((z&z)&r)&(s>r)) | (((((o>o)>s)>(o|z))|(o>r))&z) | 1 | 0 | 0 | 0 | entailment |
~((~((s|r))|r)) | ((((r>~(r))&(s&r))>s)>(s&((z&z)>(z|r)))) | 1 | 0 | 0 | 0 | entailment |
(((z&z)&r)&(s>r)) | ((((r>~(r))&(s&r))>s)>(s&((z&z)>(z|r)))) | 0 | 0 | 1 | 0 | not entailment |
~((~((s|r))|r)) | (((((o>o)>s)>(o|z))|(o>r))&z) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((z>((z>o)&z))&(z&o))))&((s|z)|s)) | (~((z&(z>(s>(s>r)))))>o) | 1 | 1 | 0 | 0 | entailment |
~(((o|(s&r))|(s&((~(r)|~(s))&(o&z))))) | ((~(r)|(o>s))&((((o>o)>o)>(r&o))|(o>o))) | 1 | 1 | 1 | 0 | entailment |
(~(~(((z>((z>o)&z))&(z&o))))&((s|z)|s)) | ((~(r)|(o>s))&((((o>o)>o)>(r&o))|(o>o))) | 0 | 1 | 0 | 0 | not entailment |
~(((o|(s&r))|(s&((~(r)|~(s))&(o&z))))) | (~((z&(z>(s>(s>r)))))>o) | 0 | 1 | 1 | 0 | not entailment |
(z&((((z|z)&r)|s)&s)) | ((z&~(s))|s) | 1 | 1 | 1 | 0 | entailment |
~(((z&(z|z))|~((z>o)))) | ~(((~(((z&z)&r))&~(z))>(r&~(r)))) | 1 | 0 | 0 | 0 | entailment |
(z&((((z|z)&r)|s)&s)) | ~(((~(((z&z)&r))&~(z))>(r&~(r)))) | 0 | 0 | 1 | 0 | not entailment |
~(((z&(z|z))|~((z>o)))) | ((z&~(s))|s) | 0 | 1 | 0 | 0 | not entailment |
(z&(r&(z|z))) | (((r&o)>o)>z) | 1 | 1 | 0 | 0 | entailment |
~((~(~((s>r)))>(o|z))) | ((o>o)>(z>(r>o))) | 1 | 1 | 1 | 0 | entailment |
(z&(r&(z|z))) | ((o>o)>(z>(r>o))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((s>r)))>(o|z))) | (((r&o)>o)>z) | 0 | 1 | 1 | 0 | not entailment |
(z&(r|o)) | (((s|z)|(o&((o>r)|(z&r))))>(((o>z)|z)>z)) | 1 | 0 | 0 | 0 | entailment |
((r|o)&(r&r)) | ((((o&s)|(z>s))>r)|~(z)) | 1 | 0 | 0 | 0 | entailment |
(z&(r|o)) | ((((o&s)|(z>s))>r)|~(z)) | 0 | 0 | 0 | 0 | not entailment |
((r|o)&(r&r)) | (((s|z)|(o&((o>r)|(z&r))))>(((o>z)|z)>z)) | 0 | 0 | 0 | 0 | not entailment |
(((s>(s>r))|(~(o)&~((s&(o|r)))))&z) | (((z>o)&(s>s))>(o&(o|(z>~((s|s)))))) | 1 | 1 | 1 | 0 | entailment |
~(((s&o)|z)) | (z>r) | 1 | 1 | 0 | 0 | entailment |
(((s>(s>r))|(~(o)&~((s&(o|r)))))&z) | (z>r) | 0 | 1 | 1 | 0 | not entailment |
~(((s&o)|z)) | (((z>o)&(s>s))>(o&(o|(z>~((s|s)))))) | 0 | 0 | 1 | 0 | not entailment |
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