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&n) | ((~(~(u))|a)|n) | 1 | 0 | 0 | 0 | entailment |
~(a) | ~(a) | 1 | 1 | 1 | 1 | entailment |
(n&n) | ~(a) | 0 | 1 | 0 | 0 | not entailment |
~(a) | ((~(~(u))|a)|n) | 0 | 0 | 0 | 0 | not entailment |
((n|u)|a) | (~((n|a))>(u|a)) | 1 | 0 | 1 | 1 | entailment |
(~(u)&((((~((a>a))&a)|a)&n)>~(n))) | (u>~(~(~(a)))) | 1 | 1 | 1 | 1 | entailment |
((n|u)|a) | (u>~(~(~(a)))) | 0 | 0 | 1 | 0 | not entailment |
(~(u)&((((~((a>a))&a)|a)&n)>~(n))) | (~((n|a))>(u|a)) | 0 | 1 | 1 | 0 | not entailment |
((n&((u|(u>u))&(((u&a)>a)|u)))&a) | (((a>(n|a))|(u>n))&n) | 1 | 1 | 1 | 1 | entailment |
(u&((~(n)>(((a>(n>(a>a)))>u)&~(u)))|a)) | ((u|~(n))|u) | 1 | 1 | 1 | 0 | entailment |
((n&((u|(u>u))&(((u&a)>a)|u)))&a) | ((u|~(n))|u) | 0 | 1 | 1 | 0 | not entailment |
(u&((~(n)>(((a>(n>(a>a)))>u)&~(u)))|a)) | (((a>(n|a))|(u>n))&n) | 0 | 1 | 1 | 1 | not entailment |
((((~(n)>a)&a)|~(~(a)))&((n&u)&n)) | ~(((n>~(a))&a)) | 1 | 1 | 1 | 0 | entailment |
(~((n&a))&a) | (((((u|u)>(n&u))&~(n))&a)|~(n)) | 1 | 0 | 0 | 0 | entailment |
((((~(n)>a)&a)|~(~(a)))&((n&u)&n)) | (((((u|u)>(n&u))&~(n))&a)|~(n)) | 0 | 1 | 1 | 0 | not entailment |
(~((n&a))&a) | ~(((n>~(a))&a)) | 0 | 0 | 1 | 0 | not entailment |
(u&(a|n)) | ~(~(((n&n)>u))) | 1 | 0 | 1 | 0 | entailment |
~(~((n&n))) | (u>(a>n)) | 1 | 1 | 0 | 0 | entailment |
(u&(a|n)) | (u>(a>n)) | 0 | 1 | 1 | 0 | not entailment |
~(~((n&n))) | ~(~(((n&n)>u))) | 0 | 0 | 0 | 0 | not entailment |
(u&a) | ~(~(((u>(u&n))>(a>u)))) | 1 | 0 | 0 | 0 | entailment |
(u>(~(n)&(a&(~(~(n))&n)))) | ((((u&u)&u)&((u|u)>~(n)))>n) | 1 | 1 | 1 | 0 | entailment |
(u&a) | ((((u&u)&u)&((u|u)>~(n)))>n) | 0 | 0 | 0 | 0 | not entailment |
(u>(~(n)&(a&(~(~(n))&n)))) | ~(~(((u>(u&n))>(a>u)))) | 0 | 1 | 1 | 0 | not entailment |
~(~(((n&a)&(n&(~((a>u))|(n>u)))))) | (n|u) | 1 | 1 | 1 | 1 | entailment |
~(a) | (~(~((u&u)))|((u|(a>u))|(~(n)&n))) | 1 | 0 | 0 | 0 | entailment |
~(~(((n&a)&(n&(~((a>u))|(n>u)))))) | (~(~((u&u)))|((u|(a>u))|(~(n)&n))) | 0 | 1 | 1 | 0 | not entailment |
~(a) | (n|u) | 0 | 1 | 0 | 0 | not entailment |
(~((n|n))>(a&a)) | ((n&(~(((a&(u|~(u)))&n))>u))|(a|(a|n))) | 1 | 0 | 0 | 0 | entailment |
((((u|u)|(n|n))>a)&~(((a>a)&(a&(u>u))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(~((n|n))>(a&a)) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
((((u|u)|(n|n))>a)&~(((a>a)&(a&(u>u))))) | ((n&(~(((a&(u|~(u)))&n))>u))|(a|(a|n))) | 0 | 1 | 1 | 0 | not entailment |
(x&(r|(a&n))) | ((((i>~((i>n)))|(r>v))>j)>x) | 1 | 0 | 0 | 0 | entailment |
((s>~((n|s)))&~((u>(r&a)))) | ((a&n)>~((u&r))) | 1 | 1 | 1 | 0 | entailment |
(x&(r|(a&n))) | ((a&n)>~((u&r))) | 0 | 0 | 0 | 0 | not entailment |
((s>~((n|s)))&~((u>(r&a)))) | ((((i>~((i>n)))|(r>v))>j)>x) | 0 | 1 | 0 | 0 | not entailment |
(x&(u|x)) | ((v>a)|x) | 1 | 1 | 0 | 0 | entailment |
~(((((~(i)|u)&u)&j)>(~(a)>a))) | (~(j)>(((i>a)|r)>o)) | 1 | 1 | 0 | 0 | entailment |
(x&(u|x)) | (~(j)>(((i>a)|r)>o)) | 0 | 0 | 0 | 0 | not entailment |
~(((((~(i)|u)&u)&j)>(~(a)>a))) | ((v>a)|x) | 0 | 1 | 0 | 0 | not entailment |
(r&n) | (v>(((x&(i>(i|u)))|(~(x)&u))|(n&n))) | 1 | 0 | 0 | 0 | entailment |
(~((o>(u|j)))&(i>(i|a))) | (~(o)>u) | 1 | 1 | 1 | 0 | entailment |
(r&n) | (~(o)>u) | 0 | 0 | 0 | 0 | not entailment |
(~((o>(u|j)))&(i>(i|a))) | (v>(((x&(i>(i|u)))|(~(x)&u))|(n&n))) | 0 | 0 | 0 | 0 | not entailment |
(n&u) | (j|n) | 1 | 1 | 0 | 0 | entailment |
~(((i&a)>s)) | (~(i)>(v|~((((a|x)|x)&(s|i))))) | 1 | 0 | 0 | 0 | entailment |
(n&u) | (~(i)>(v|~((((a|x)|x)&(s|i))))) | 0 | 0 | 0 | 0 | not entailment |
~(((i&a)>s)) | (j|n) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((o|u)))|o)) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(~((~(s)>~((v&a))))&((~((r>r))&x)|n)) | ((v&(a|(a&a)))>~(~(n))) | 1 | 1 | 1 | 0 | entailment |
~((~(~((o|u)))|o)) | ((v&(a|(a&a)))>~(~(n))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(s)>~((v&a))))&((~((r>r))&x)|n)) | ~(o) | 0 | 1 | 0 | 0 | not entailment |
~(((v&(v>(o|(s|s))))|(s>~((r|x))))) | (o>s) | 1 | 1 | 1 | 1 | entailment |
(~(((o&n)>a))|((~(~((n&o)))&x)&u)) | ((o&a)>((u&((j&s)&j))|(a>(r>x)))) | 1 | 1 | 0 | 0 | entailment |
~(((v&(v>(o|(s|s))))|(s>~((r|x))))) | ((o&a)>((u&((j&s)&j))|(a>(r>x)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((o&n)>a))|((~(~((n&o)))&x)&u)) | (o>s) | 0 | 1 | 0 | 0 | not entailment |
((u&o)&~((((r&r)&s)|~(n)))) | ~(~(((((r>x)&u)&(a|o))>(i>((x|v)|o))))) | 1 | 0 | 0 | 0 | entailment |
~((s>r)) | (s|(i&o)) | 1 | 1 | 0 | 0 | entailment |
((u&o)&~((((r&r)&s)|~(n)))) | (s|(i&o)) | 0 | 1 | 0 | 0 | not entailment |
~((s>r)) | ~(~(((((r>x)&u)&(a|o))>(i>((x|v)|o))))) | 0 | 0 | 0 | 0 | not entailment |
(n&s) | ((r>(n|a))|~((a|(a>s)))) | 1 | 0 | 0 | 0 | entailment |
~(((i|n)|~((~(j)>(s|(j&(s|u))))))) | (i>(~((x&~(~(((i|r)&i)))))&~((v|x)))) | 1 | 0 | 0 | 0 | entailment |
(n&s) | (i>(~((x&~(~(((i|r)&i)))))&~((v|x)))) | 0 | 0 | 0 | 0 | not entailment |
~(((i|n)|~((~(j)>(s|(j&(s|u))))))) | ((r>(n|a))|~((a|(a>s)))) | 0 | 1 | 0 | 0 | not entailment |
((~((i&r))>(~(x)|n))&(((i>i)>n)|(i>r))) | ((n|(i|i))|((u|n)>(~((~(x)>o))|o))) | 1 | 1 | 0 | 0 | entailment |
~((j|i)) | ((n&(x>x))|(i>~(~(s)))) | 1 | 0 | 0 | 0 | entailment |
((~((i&r))>(~(x)|n))&(((i>i)>n)|(i>r))) | ((n&(x>x))|(i>~(~(s)))) | 0 | 1 | 0 | 0 | not entailment |
~((j|i)) | ((n|(i|i))|((u|n)>(~((~(x)>o))|o))) | 0 | 0 | 0 | 0 | not entailment |
((((r>i)|u)&s)&((r>~((x&~(r))))&x)) | (x|(o|s)) | 1 | 1 | 0 | 0 | entailment |
~(((~((((r>u)>j)&a))&~(o))>(a|n))) | ~(~(~(o))) | 1 | 1 | 1 | 1 | entailment |
((((r>i)|u)&s)&((r>~((x&~(r))))&x)) | ~(~(~(o))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((((r>u)>j)&a))&~(o))>(a|n))) | (x|(o|s)) | 0 | 1 | 0 | 0 | not entailment |
(j&(v&o)) | (~((((o|s)|(u|a))|(n&(r&(v>v)))))|j) | 1 | 0 | 0 | 0 | entailment |
((~((o|n))>(i&n))>i) | (((n&a)>(r>(x>i)))|~(a)) | 1 | 0 | 0 | 0 | entailment |
(j&(v&o)) | (((n&a)>(r>(x>i)))|~(a)) | 0 | 0 | 0 | 0 | not entailment |
((~((o|n))>(i&n))>i) | (~((((o|s)|(u|a))|(n&(r&(v>v)))))|j) | 0 | 0 | 0 | 0 | not entailment |
(~((i|~(u)))&r) | ~(((i&o)&(((v&u)&j)>u))) | 1 | 0 | 0 | 0 | entailment |
(v&(u|(j>s))) | (~(((i|x)|v))>(i&i)) | 1 | 0 | 0 | 0 | entailment |
(~((i|~(u)))&r) | (~(((i|x)|v))>(i&i)) | 0 | 0 | 0 | 0 | not entailment |
(v&(u|(j>s))) | ~(((i&o)&(((v&u)&j)>u))) | 0 | 0 | 0 | 0 | not entailment |
~(((i|o)>((u&(u>n))>r))) | (r>x) | 1 | 1 | 0 | 0 | entailment |
~(((~(((~(j)>a)>((s|u)>r)))|~(r))|a)) | (a>r) | 1 | 1 | 1 | 1 | entailment |
~(((i|o)>((u&(u>n))>r))) | (a>r) | 0 | 1 | 0 | 0 | not entailment |
~(((~(((~(j)>a)>((s|u)>r)))|~(r))|a)) | (r>x) | 0 | 1 | 0 | 0 | not entailment |
(r&(i|x)) | (((~(v)>((x>n)>n))|r)|~(((x>i)>(a>u)))) | 1 | 0 | 0 | 0 | entailment |
((u&a)|u) | ((s|u)|(~(x)|a)) | 1 | 0 | 0 | 0 | entailment |
(r&(i|x)) | ((s|u)|(~(x)|a)) | 0 | 0 | 0 | 0 | not entailment |
((u&a)|u) | (((~(v)>((x>n)>n))|r)|~(((x>i)>(a>u)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((u>v)>~((o&x))))&((s|(o&u))&r)) | ((~(u)>i)>(x|~((s&j)))) | 1 | 1 | 0 | 0 | entailment |
~((((((s&a)>x)>(a|n))>(a&j))|a)) | ((~(u)>n)|(r>v)) | 1 | 1 | 0 | 0 | entailment |
(~(((u>v)>~((o&x))))&((s|(o&u))&r)) | ((~(u)>n)|(r>v)) | 0 | 1 | 0 | 0 | not entailment |
~((((((s&a)>x)>(a|n))>(a&j))|a)) | ((~(u)>i)>(x|~((s&j)))) | 0 | 1 | 0 | 0 | not entailment |
~(((((a>n)|v)>(o>v))|s)) | ~(((a&(v&u))|(((v&~(x))&(n>x))&(v|o)))) | 1 | 0 | 0 | 0 | entailment |
(s&i) | (i|r) | 1 | 1 | 0 | 0 | entailment |
~(((((a>n)|v)>(o>v))|s)) | (i|r) | 0 | 1 | 0 | 0 | not entailment |
(s&i) | ~(((a&(v&u))|(((v&~(x))&(n>x))&(v|o)))) | 0 | 0 | 0 | 0 | not entailment |
~(i) | ((s|x)|(i>u)) | 1 | 0 | 0 | 0 | entailment |
~(((s|u)|(x&v))) | ((o>o)>(s|(u>(x|o)))) | 1 | 0 | 0 | 0 | entailment |
~(i) | ((o>o)>(s|(u>(x|o)))) | 0 | 0 | 0 | 0 | not entailment |
~(((s|u)|(x&v))) | ((s|x)|(i>u)) | 0 | 1 | 0 | 0 | not entailment |
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