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 |
|---|---|---|---|---|---|---|
(~(s)&c) | (~(((s|(s|c))|~(s)))|(c|~(~(c)))) | 1 | 0 | 1 | 0 | entailment |
(~(c)&(s|s)) | ((s>s)>(s|h)) | 1 | 1 | 0 | 0 | entailment |
(~(s)&c) | ((s>s)>(s|h)) | 0 | 0 | 0 | 0 | not entailment |
(~(c)&(s|s)) | (~(((s|(s|c))|~(s)))|(c|~(~(c)))) | 0 | 0 | 1 | 0 | not entailment |
(n|n) | (~((n&(n|x)))>(x&x)) | 1 | 0 | 0 | 0 | entailment |
~((((z>z)>f)>(z>x))) | (((x&(((n>n)&n)|~(n)))>z)>((x&f)|z)) | 1 | 0 | 0 | 0 | entailment |
(n|n) | (((x&(((n>n)&n)|~(n)))>z)>((x&f)|z)) | 0 | 0 | 0 | 0 | not entailment |
~((((z>z)>f)>(z>x))) | (~((n&(n|x)))>(x&x)) | 0 | 1 | 0 | 0 | not entailment |
~((f|~(z))) | ((z&n)|(x>(~(f)|n))) | 1 | 0 | 0 | 0 | entailment |
(~((n&n))&(~(((x&(f&f))&f))>~((f|n)))) | (~((n|(x&n)))|~(~(x))) | 1 | 1 | 1 | 0 | entailment |
~((f|~(z))) | (~((n|(x&n)))|~(~(x))) | 0 | 0 | 0 | 0 | not entailment |
(~((n&n))&(~(((x&(f&f))&f))>~((f|n)))) | ((z&n)|(x>(~(f)|n))) | 0 | 1 | 0 | 0 | not entailment |
~((((z>f)>~(((z&~(f))>z)))|(f&n))) | (~(z)|f) | 1 | 1 | 1 | 1 | entailment |
~(~((((n&z)&z)|((((z>n)>n)&n)&z)))) | (z&(z|(n&(x|f)))) | 1 | 1 | 0 | 0 | entailment |
~((((z>f)>~(((z&~(f))>z)))|(f&n))) | (z&(z|(n&(x|f)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((((n&z)&z)|((((z>n)>n)&n)&z)))) | (~(z)|f) | 0 | 1 | 0 | 0 | not entailment |
~(((x>n)|(f|(z>f)))) | (~(f)|~(~((z&n)))) | 1 | 1 | 1 | 0 | entailment |
((f|~(((x>(z|n))|n)))&z) | ~(~(((n>(z|f))&(x>(z>f))))) | 1 | 0 | 1 | 0 | entailment |
~(((x>n)|(f|(z>f)))) | ~(~(((n>(z|f))&(x>(z>f))))) | 0 | 0 | 1 | 0 | not entailment |
((f|~(((x>(z|n))|n)))&z) | (~(f)|~(~((z&n)))) | 0 | 1 | 1 | 0 | not entailment |
(f&z) | (~((x>(~(f)|x)))|z) | 1 | 0 | 0 | 0 | entailment |
(((z>x)>~(n))>(x>n)) | (x>(((~(z)&(x>n))>x)>n)) | 1 | 0 | 1 | 1 | entailment |
(f&z) | (x>(((~(z)&(x>n))>x)>n)) | 0 | 0 | 0 | 0 | not entailment |
(((z>x)>~(n))>(x>n)) | (~((x>(~(f)|x)))|z) | 0 | 1 | 0 | 0 | not entailment |
~(x) | (~((f|x))|~(~(((~(n)|x)>(n>(z&f)))))) | 1 | 0 | 0 | 0 | entailment |
~((n>z)) | (z|n) | 1 | 1 | 1 | 0 | entailment |
~(x) | (z|n) | 0 | 1 | 0 | 0 | not entailment |
~((n>z)) | (~((f|x))|~(~(((~(n)|x)>(n>(z&f)))))) | 0 | 0 | 0 | 0 | not entailment |
(((((x|x)&x)&(f|f))&n)&(z&f)) | ~(~(x)) | 1 | 1 | 1 | 1 | entailment |
~(((x&n)|x)) | (x>~((x&(f|(x|x))))) | 1 | 0 | 0 | 0 | entailment |
(((((x|x)&x)&(f|f))&n)&(z&f)) | (x>~((x&(f|(x|x))))) | 0 | 1 | 1 | 0 | not entailment |
~(((x&n)|x)) | ~(~(x)) | 0 | 1 | 1 | 0 | not entailment |
(z&(~((((z>n)|(~((z|z))>(f|n)))>x))|f)) | (((z|~(x))|(n|~(f)))&z) | 1 | 1 | 1 | 0 | entailment |
~(((z&x)|f)) | (((((x|n)>x)>z)&(~(n)|(n|n)))>(n|~(f))) | 1 | 0 | 0 | 0 | entailment |
(z&(~((((z>n)|(~((z|z))>(f|n)))>x))|f)) | (((((x|n)>x)>z)&(~(n)|(n|n)))>(n|~(f))) | 0 | 1 | 1 | 0 | not entailment |
~(((z&x)|f)) | (((z|~(x))|(n|~(f)))&z) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(x)&(f|(n&(z&(f|z))))))) | (z|f) | 1 | 1 | 1 | 1 | entailment |
((n|~(((n>(z|((z&z)|f)))|~((f>f)))))>x) | ((n>x)|((x&x)&(f&(f>x)))) | 1 | 1 | 1 | 1 | entailment |
~(~((~(x)&(f|(n&(z&(f|z))))))) | ((n>x)|((x&x)&(f&(f>x)))) | 0 | 1 | 1 | 0 | not entailment |
((n|~(((n>(z|((z&z)|f)))|~((f>f)))))>x) | (z|f) | 0 | 1 | 1 | 1 | not entailment |
(~(n)&f) | ((~(n)&x)>f) | 1 | 0 | 0 | 0 | entailment |
(((x&x)&((z&f)|z))|n) | ~(~((~(n)>(z&(f>((f|f)|(x>z))))))) | 1 | 0 | 1 | 0 | entailment |
(~(n)&f) | ~(~((~(n)>(z&(f>((f|f)|(x>z))))))) | 0 | 0 | 0 | 0 | not entailment |
(((x&x)&((z&f)|z))|n) | ((~(n)&x)>f) | 0 | 1 | 1 | 0 | not entailment |
~(((~(f)&z)>(x>n))) | (z&(z>z)) | 1 | 1 | 1 | 0 | entailment |
(z>~(~(~(z)))) | ~(((((n|z)|(((n|x)|n)|f))&z)&z)) | 1 | 0 | 0 | 0 | entailment |
~(((~(f)&z)>(x>n))) | ~(((((n|z)|(((n|x)|n)|f))&z)&z)) | 0 | 0 | 1 | 0 | not entailment |
(z>~(~(~(z)))) | (z&(z>z)) | 0 | 1 | 1 | 0 | not entailment |
(s>~(~(((o>o)&(l&s))))) | ~(~((s>l))) | 1 | 1 | 1 | 1 | entailment |
(~((l&(((o|(o&s))&s)&s)))>o) | (((l>(o>s))&((s|(o&s))|s))>o) | 1 | 1 | 1 | 0 | entailment |
(s>~(~(((o>o)&(l&s))))) | (((l>(o>s))&((s|(o&s))|s))>o) | 0 | 0 | 1 | 1 | not entailment |
(~((l&(((o|(o&s))&s)&s)))>o) | ~(~((s>l))) | 0 | 1 | 1 | 0 | not entailment |
(((l|l)|~(~(~(((s>s)&l)))))>o) | (l|o) | 1 | 1 | 1 | 1 | entailment |
(l|s) | ((s|(l|~(~(~(s)))))>(l|s)) | 1 | 0 | 1 | 0 | entailment |
(((l|l)|~(~(~(((s>s)&l)))))>o) | ((s|(l|~(~(~(s)))))>(l|s)) | 0 | 1 | 1 | 1 | not entailment |
(l|s) | (l|o) | 0 | 1 | 0 | 0 | not entailment |
((l&~((~(o)&(o|(l|l)))))&((o>(o|o))&s)) | ((~((s&o))|s)&l) | 1 | 1 | 1 | 0 | entailment |
~(o) | ~((((o&l)&~(o))|(o&~(~(o))))) | 1 | 0 | 0 | 0 | entailment |
((l&~((~(o)&(o|(l|l)))))&((o>(o|o))&s)) | ~((((o&l)&~(o))|(o&~(~(o))))) | 0 | 1 | 1 | 1 | not entailment |
~(o) | ((~((s&o))|s)&l) | 0 | 0 | 0 | 0 | not entailment |
~((o>(~(((o|o)>l))|s))) | ((o>(l&s))>~(((o|s)|o))) | 1 | 1 | 1 | 0 | entailment |
(~((o&o))&(s|~((~(o)|((o>l)>s))))) | (o>s) | 1 | 1 | 1 | 1 | entailment |
~((o>(~(((o|o)>l))|s))) | (o>s) | 0 | 1 | 1 | 0 | not entailment |
(~((o&o))&(s|~((~(o)|((o>l)>s))))) | ((o>(l&s))>~(((o|s)|o))) | 0 | 1 | 1 | 0 | not entailment |
~((s|o)) | ((s>o)&(o|(o>l))) | 1 | 0 | 0 | 0 | entailment |
(s|(s|s)) | ((s|~(o))&~((~((s|o))&(o>l)))) | 1 | 0 | 0 | 0 | entailment |
~((s|o)) | ((s|~(o))&~((~((s|o))&(o>l)))) | 0 | 0 | 0 | 0 | not entailment |
(s|(s|s)) | ((s>o)&(o|(o>l))) | 0 | 0 | 0 | 0 | not entailment |
((l>(o>~(l)))&(~(s)&(l&(o>l)))) | ((~(o)>(s&((o|(o>s))|l)))>((l|(o>s))>l)) | 1 | 0 | 1 | 0 | entailment |
~(((~(s)|~(o))|(s>l))) | ((l>s)|~((o>((o&o)|(o&l))))) | 1 | 0 | 1 | 0 | entailment |
((l>(o>~(l)))&(~(s)&(l&(o>l)))) | ((l>s)|~((o>((o&o)|(o&l))))) | 0 | 1 | 1 | 0 | not entailment |
~(((~(s)|~(o))|(s>l))) | ((~(o)>(s&((o|(o>s))|l)))>((l|(o>s))>l)) | 0 | 0 | 1 | 0 | not entailment |
((((s>~(~(l)))>o)|(o|l))&~(o)) | (((o|s)&(o>s))|l) | 1 | 1 | 1 | 1 | entailment |
(~(((o&s)|(o&s)))&~(~(~(~(o))))) | (o&(o>(((o>l)&l)>((l&(o>l))>l)))) | 1 | 1 | 0 | 0 | entailment |
((((s>~(~(l)))>o)|(o|l))&~(o)) | (o&(o>(((o>l)&l)>((l&(o>l))>l)))) | 0 | 1 | 1 | 1 | not entailment |
(~(((o&s)|(o&s)))&~(~(~(~(o))))) | (((o|s)&(o>s))|l) | 0 | 1 | 0 | 0 | not entailment |
~((o>(o>~(s)))) | ((((l|(o>(o&s)))|(o|l))>(l>l))>((s|l)>s)) | 1 | 0 | 0 | 0 | entailment |
(l&l) | (l|(((l|o)&s)>~(o))) | 1 | 0 | 0 | 0 | entailment |
~((o>(o>~(s)))) | (l|(((l|o)&s)>~(o))) | 0 | 0 | 0 | 0 | not entailment |
(l&l) | ((((l|(o>(o&s)))|(o|l))>(l>l))>((s|l)>s)) | 0 | 0 | 0 | 0 | not entailment |
(o|s) | ((((o|(l|s))>l)|l)>l) | 1 | 0 | 0 | 0 | entailment |
~(~((((l>l)&o)>l))) | (l|((o>s)|s)) | 1 | 1 | 0 | 0 | entailment |
(o|s) | (l|((o>s)|s)) | 0 | 0 | 0 | 0 | not entailment |
~(~((((l>l)&o)>l))) | ((((o|(l|s))>l)|l)>l) | 0 | 1 | 0 | 0 | not entailment |
(~(((l&l)|((l&(l|s))&o)))&(l>((o&s)&s))) | (((o>l)&o)>(s&s)) | 1 | 1 | 1 | 1 | entailment |
~((~((s&(s|o)))>((s>(l>o))&s))) | ((((o|o)&l)|(s>o))|(l&(s|o))) | 1 | 1 | 1 | 0 | entailment |
(~(((l&l)|((l&(l|s))&o)))&(l>((o&s)&s))) | ((((o|o)&l)|(s>o))|(l&(s|o))) | 0 | 1 | 1 | 0 | not entailment |
~((~((s&(s|o)))>((s>(l>o))&s))) | (((o>l)&o)>(s&s)) | 0 | 1 | 1 | 0 | not entailment |
(o&(s&(o>((s|(l|(s>l)))|(s>(s&s)))))) | (o&s) | 1 | 1 | 1 | 1 | entailment |
(l|~(~(~(((o>~((l&(o|s))))|~(l)))))) | ~(~(((((l|l)&o)&l)|l))) | 1 | 1 | 1 | 1 | entailment |
(o&(s&(o>((s|(l|(s>l)))|(s>(s&s)))))) | ~(~(((((l|l)&o)&l)|l))) | 0 | 1 | 1 | 1 | not entailment |
(l|~(~(~(((o>~((l&(o|s))))|~(l)))))) | (o&s) | 0 | 1 | 1 | 1 | not entailment |
(((o&s)>(l|l))>l) | ((s|(~((o|l))>l))|(l&s)) | 1 | 0 | 1 | 1 | entailment |
~((o|s)) | ~(~(~((((l&s)>~((s&l)))>((l>o)&s))))) | 1 | 0 | 0 | 0 | entailment |
(((o&s)>(l|l))>l) | ~(~(~((((l&s)>~((s&l)))>((l>o)&s))))) | 0 | 0 | 1 | 0 | not entailment |
~((o|s)) | ((s|(~((o|l))>l))|(l&s)) | 0 | 0 | 0 | 0 | not entailment |
~((o>(((s>o)&s)&o))) | (((l&~(o))>o)|(o&(s>~((~(s)|s))))) | 1 | 0 | 0 | 0 | entailment |
~((o|~(l))) | ((~(o)|(l>(s|o)))>~(o)) | 1 | 0 | 0 | 0 | entailment |
~((o>(((s>o)&s)&o))) | ((~(o)|(l>(s|o)))>~(o)) | 0 | 0 | 0 | 0 | not entailment |
~((o|~(l))) | (((l&~(o))>o)|(o&(s>~((~(s)|s))))) | 0 | 0 | 0 | 0 | not entailment |