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 |
|---|---|---|---|---|---|---|
~((u&u)) | (((u|u)>u)&((u&(u>u))|(u|u))) | 0 | 0 | 1 | 0 | not entailment |
(u|(u|u)) | ((u>u)&(u&((u&u)>((u&(u>u))>u)))) | 1 | 0 | 1 | 0 | entailment |
~(((u|~(u))&u)) | (~(((u>u)>u))|~(~(~(u)))) | 1 | 0 | 1 | 1 | entailment |
(u|(u|u)) | (~(((u>u)>u))|~(~(~(u)))) | 0 | 0 | 1 | 0 | not entailment |
~(((u|~(u))&u)) | ((u>u)&(u&((u&u)>((u&(u>u))>u)))) | 0 | 0 | 1 | 1 | not entailment |
(((u|u)&(u&u))>~(u)) | ~(((~((u|u))>u)&(u|~(u)))) | 1 | 0 | 1 | 0 | entailment |
~(((u&u)>~((u&u)))) | (u&(u|u)) | 1 | 1 | 1 | 1 | entailment |
(((u|u)&(u&u))>~(u)) | (u&(u|u)) | 0 | 1 | 1 | 0 | not entailment |
~(((u&u)>~((u&u)))) | ~(((~((u|u))>u)&(u|~(u)))) | 0 | 0 | 1 | 0 | not entailment |
(~(u)&((u>u)|(u>u))) | ~((~(((u&u)>(u|u)))|u)) | 1 | 0 | 1 | 1 | entailment |
((u>(u>u))&(u&(u|u))) | (((u|(u|u))&~((u>~(u))))&(u|~(u))) | 1 | 0 | 1 | 1 | entailment |
(~(u)&((u>u)|(u>u))) | (((u|(u|u))&~((u>~(u))))&(u|~(u))) | 0 | 0 | 1 | 1 | not entailment |
((u>(u>u))&(u&(u|u))) | ~((~(((u&u)>(u|u)))|u)) | 0 | 0 | 1 | 1 | not entailment |
~((~(~((u&(u&u))))&u)) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(u|~((u>(u>(~(~(u))|u))))) | ~(((u&(u&u))>~((u&u)))) | 1 | 1 | 1 | 1 | entailment |
~((~(~((u&(u&u))))&u)) | ~(((u&(u&u))>~((u&u)))) | 0 | 1 | 1 | 0 | not entailment |
(u|~((u>(u>(~(~(u))|u))))) | ~(u) | 0 | 1 | 1 | 1 | not entailment |
~((u&(u>u))) | (~((u&(u|u)))&(u>(u>(u>u)))) | 1 | 0 | 1 | 1 | entailment |
(u|(~(u)&u)) | (~(~(~(~(u))))|u) | 1 | 0 | 1 | 1 | entailment |
~((u&(u>u))) | (~(~(~(~(u))))|u) | 0 | 0 | 1 | 1 | not entailment |
(u|(~(u)&u)) | (~((u&(u|u)))&(u>(u>(u>u)))) | 0 | 0 | 1 | 1 | not entailment |
~(u) | ((u|(u>~(((u&~((u|u)))&u))))&~(u)) | 1 | 0 | 1 | 0 | entailment |
(~((u&u))>u) | (u&(~((~(u)|~(u)))>u)) | 1 | 0 | 1 | 0 | entailment |
~(u) | (u&(~((~(u)|~(u)))>u)) | 0 | 0 | 1 | 0 | not entailment |
(~((u&u))>u) | ((u|(u>~(((u&~((u|u)))&u))))&~(u)) | 0 | 0 | 1 | 0 | not entailment |
(s&s) | (~((s>s))|s) | 1 | 0 | 1 | 0 | entailment |
((~(s)>(s|s))>~((s>(s|((s|s)&s))))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(s&s) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
((~(s)>(s|s))>~((s>(s|((s|s)&s))))) | (~((s>s))|s) | 0 | 1 | 1 | 1 | not entailment |
(((~((s|s))&s)|(s&s))|s) | (s|s) | 1 | 1 | 1 | 1 | entailment |
~((s&(s>s))) | ~((s&s)) | 1 | 1 | 1 | 1 | entailment |
(((~((s|s))&s)|(s&s))|s) | ~((s&s)) | 0 | 1 | 1 | 1 | not entailment |
~((s&(s>s))) | (s|s) | 0 | 1 | 1 | 1 | not entailment |
~(~(s)) | (~(~((s|s)))|(s&s)) | 1 | 0 | 1 | 1 | entailment |
(s>((~(s)|(s|s))&(s>~(s)))) | (((s>s)|~((s>s)))&(~(s)|(~(s)&s))) | 1 | 0 | 1 | 1 | entailment |
~(~(s)) | (((s>s)|~((s>s)))&(~(s)|(~(s)&s))) | 0 | 0 | 1 | 0 | not entailment |
(s>((~(s)|(s|s))&(s>~(s)))) | (~(~((s|s)))|(s&s)) | 0 | 1 | 1 | 1 | not entailment |
(s&s) | (~((((((s&s)&s)&(~(s)&s))|s)|~(s)))|s) | 1 | 0 | 1 | 0 | entailment |
~((~(~(s))&s)) | ~(~(((s>~(s))&(s>s)))) | 1 | 0 | 1 | 0 | entailment |
(s&s) | ~(~(((s>~(s))&(s>s)))) | 0 | 0 | 1 | 0 | not entailment |
~((~(~(s))&s)) | (~((((((s&s)&s)&(~(s)&s))|s)|~(s)))|s) | 0 | 0 | 1 | 0 | not entailment |
((~(s)|s)>s) | ((s|s)&(~(~(s))|s)) | 1 | 0 | 1 | 1 | entailment |
(s>~(s)) | ~((s|s)) | 1 | 1 | 1 | 1 | entailment |
((~(s)|s)>s) | ~((s|s)) | 0 | 1 | 1 | 1 | not entailment |
(s>~(s)) | ((s|s)&(~(~(s))|s)) | 0 | 0 | 1 | 0 | not entailment |
(((~(s)>s)&s)>(s&~((s|(s>s))))) | (s>~(s)) | 1 | 1 | 1 | 1 | entailment |
~(~((s&(s&s)))) | (s|(s&s)) | 1 | 1 | 1 | 1 | entailment |
(((~(s)>s)&s)>(s&~((s|(s>s))))) | (s|(s&s)) | 0 | 1 | 1 | 1 | not entailment |
~(~((s&(s&s)))) | (s>~(s)) | 0 | 1 | 1 | 0 | not entailment |
~(g) | (((g|~(a))|((t&c)&g))>((~(n)|c)>(g>t))) | 1 | 0 | 0 | 0 | entailment |
(c&(c>a)) | (~((a>a))|((g>c)>c)) | 1 | 0 | 0 | 0 | entailment |
~(g) | (~((a>a))|((g>c)>c)) | 0 | 0 | 0 | 0 | not entailment |
(c&(c>a)) | (((g|~(a))|((t&c)&g))>((~(n)|c)>(g>t))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((g>a)&(((a>(c&a))&g)>a)))) | ((g&~((a|c)))>(t&(~(~(~(a)))|x))) | 1 | 0 | 0 | 0 | entailment |
~((t&(x|n))) | ((x>~(x))|(~((t&a))|~((c>((g>t)>c))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((g>a)&(((a>(c&a))&g)>a)))) | ((x>~(x))|(~((t&a))|~((c>((g>t)>c))))) | 0 | 0 | 0 | 0 | not entailment |
~((t&(x|n))) | ((g&~((a|c)))>(t&(~(~(~(a)))|x))) | 0 | 0 | 0 | 0 | not entailment |
(c&(t|a)) | (t|((((c>g)>x)|g)&(t>(t&(c&t))))) | 1 | 0 | 0 | 0 | entailment |
~((t|((a>(x|n))|((x|x)|x)))) | ((~((t|(a|x)))&g)|(a&a)) | 1 | 1 | 0 | 0 | entailment |
(c&(t|a)) | ((~((t|(a|x)))&g)|(a&a)) | 0 | 0 | 0 | 0 | not entailment |
~((t|((a>(x|n))|((x|x)|x)))) | (t|((((c>g)>x)|g)&(t>(t&(c&t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((g&x)|g)>(n>(x&a)))|(t&g))) | ((((t&((t&a)>c))>(n>c))>(g>n))>g) | 1 | 1 | 0 | 0 | entailment |
((c&((x&x)>g))&~(((a|g)&c))) | ~(a) | 1 | 1 | 1 | 1 | entailment |
~(((((g&x)|g)>(n>(x&a)))|(t&g))) | ~(a) | 0 | 1 | 1 | 1 | not entailment |
((c&((x&x)>g))&~(((a|g)&c))) | ((((t&((t&a)>c))>(n>c))>(g>n))>g) | 0 | 0 | 0 | 0 | not entailment |
~((((c>n)|n)|(n&n))) | (n>~(((n&n)&(t&x)))) | 1 | 1 | 0 | 0 | entailment |
(g&(~((((t&t)&~(x))&n))&~(~(g)))) | (g|(x>g)) | 1 | 1 | 1 | 0 | entailment |
~((((c>n)|n)|(n&n))) | (g|(x>g)) | 0 | 1 | 0 | 0 | not entailment |
(g&(~((((t&t)&~(x))&n))&~(~(g)))) | (n>~(((n&n)&(t&x)))) | 0 | 1 | 1 | 0 | not entailment |
~(((((x&t)|~(~((n>c))))>~((c|c)))|n)) | ~(((n&(n|g))|n)) | 1 | 1 | 0 | 0 | entailment |
~((((g|(t|n))|(n>g))>(a|(t&g)))) | (a>g) | 1 | 1 | 1 | 1 | entailment |
~(((((x&t)|~(~((n>c))))>~((c|c)))|n)) | (a>g) | 0 | 1 | 0 | 0 | not entailment |
~((((g|(t|n))|(n>g))>(a|(t&g)))) | ~(((n&(n|g))|n)) | 0 | 1 | 1 | 1 | not entailment |
~((g>((x|(c&~(t)))>((g|x)>(t&n))))) | (t|g) | 1 | 1 | 1 | 0 | entailment |
~((t|(x|a))) | (((((x&x)>g)&(t>g))&(a|n))>(n|c)) | 1 | 0 | 0 | 0 | entailment |
~((g>((x|(c&~(t)))>((g|x)>(t&n))))) | (((((x&x)>g)&(t>g))&(a|n))>(n|c)) | 0 | 1 | 0 | 0 | not entailment |
~((t|(x|a))) | (t|g) | 0 | 1 | 0 | 0 | not entailment |
(c&t) | (n|c) | 1 | 1 | 0 | 0 | entailment |
~((a|x)) | ((x>((t>g)|g))|((g>a)>((g&c)&a))) | 1 | 0 | 0 | 0 | entailment |
(c&t) | ((x>((t>g)|g))|((g>a)>((g&c)&a))) | 0 | 0 | 0 | 0 | not entailment |
~((a|x)) | (n|c) | 0 | 1 | 0 | 0 | not entailment |
~((t|~((a>(n&(t&c)))))) | (~(a)|~((t>((n>t)>a)))) | 1 | 1 | 1 | 0 | entailment |
~(~(((a&(x>a))&(((g>t)>((t>c)>n))&a)))) | (a|(((c>a)>~((~(~((g&c)))>(c&t))))>g)) | 1 | 1 | 1 | 0 | entailment |
~((t|~((a>(n&(t&c)))))) | (a|(((c>a)>~((~(~((g&c)))>(c&t))))>g)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((a&(x>a))&(((g>t)>((t>c)>n))&a)))) | (~(a)|~((t>((n>t)>a)))) | 0 | 1 | 1 | 0 | not entailment |
~(((x>t)|(a&(~(~(~(t)))>x)))) | ((~(x)&~(a))>(n&(a|c))) | 1 | 1 | 0 | 0 | entailment |
((((((g>x)|~((a|t)))&a)|(t>c))|g)>n) | (((c>a)|(((t>g)>c)>g))|((n&t)|n)) | 1 | 1 | 1 | 0 | entailment |
~(((x>t)|(a&(~(~(~(t)))>x)))) | (((c>a)|(((t>g)>c)>g))|((n&t)|n)) | 0 | 1 | 0 | 0 | not entailment |
((((((g>x)|~((a|t)))&a)|(t>c))|g)>n) | ((~(x)&~(a))>(n&(a|c))) | 0 | 1 | 1 | 0 | not entailment |
~((a>((n>x)&((c&n)>(((n&a)>(a|t))>c))))) | ((~(~(t))>((g|(a>c))>(c|n)))|x) | 1 | 1 | 0 | 0 | entailment |
~((~((n>n))|a)) | ((a&c)>~((c|(~(x)&x)))) | 1 | 0 | 0 | 0 | entailment |
~((a>((n>x)&((c&n)>(((n&a)>(a|t))>c))))) | ((a&c)>~((c|(~(x)&x)))) | 0 | 1 | 1 | 0 | not entailment |
~((~((n>n))|a)) | ((~(~(t))>((g|(a>c))>(c|n)))|x) | 0 | 0 | 0 | 0 | not entailment |
(n&t) | ((~((c>(a>t)))|(~(a)|t))|~(x)) | 1 | 0 | 0 | 0 | entailment |
(x&~(t)) | (((g|(x&c))|(g&c))|x) | 1 | 0 | 0 | 0 | entailment |
(n&t) | (((g|(x&c))|(g&c))|x) | 0 | 0 | 0 | 0 | not entailment |
(x&~(t)) | ((~((c>(a>t)))|(~(a)|t))|~(x)) | 0 | 0 | 0 | 0 | not entailment |
~((a|~(~((~((a&(t>(g>c))))&(x>t)))))) | (t>c) | 1 | 1 | 1 | 1 | entailment |
(t&(((g|c)&(n&g))&(a|t))) | ~(((~(x)>(c>c))>~(n))) | 1 | 1 | 0 | 0 | entailment |
~((a|~(~((~((a&(t>(g>c))))&(x>t)))))) | ~(((~(x)>(c>c))>~(n))) | 0 | 1 | 0 | 0 | not entailment |
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