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 |
|---|---|---|---|---|---|---|
~((r|~((y|(v|(y&r)))))) | (((~(g)|c)|(~(r)|(g&u)))|~(~(y))) | 1 | 0 | 0 | 0 | entailment |
(~(((~(s)|u)&(g>c)))|(v&v)) | (((~(g)|c)|(~(r)|(g&u)))|~(~(y))) | 0 | 0 | 0 | 0 | not entailment |
~((r|~((y|(v|(y&r)))))) | ((~(g)>~(~(v)))|~(~(((v|s)&(v>u))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((((y|(d|r))>v)&c))>~((r&y)))) | (y|~(o)) | 1 | 1 | 0 | 0 | entailment |
(u&(g&o)) | (((u|g)&~((((u&~(y))&(~(s)|s))|o)))|u) | 1 | 0 | 0 | 0 | entailment |
~((~((((y|(d|r))>v)&c))>~((r&y)))) | (((u|g)&~((((u&~(y))&(~(s)|s))|o)))|u) | 0 | 0 | 0 | 0 | not entailment |
(u&(g&o)) | (y|~(o)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((s&g)&y))) | ((a>y)|((d|y)>(~((d&~(y)))&(g|g)))) | 1 | 0 | 0 | 0 | entailment |
((g&~((a>y)))&(s>y)) | (~((y>~(d)))>~(~(~((s|s))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((s&g)&y))) | (~((y>~(d)))>~(~(~((s|s))))) | 0 | 0 | 0 | 0 | not entailment |
((g&~((a>y)))&(s>y)) | ((a>y)|((d|y)>(~((d&~(y)))&(g|g)))) | 0 | 0 | 0 | 0 | not entailment |
(s&y) | ~(~(((a|a)>y))) | 1 | 0 | 0 | 0 | entailment |
((a|a)&(g>d)) | (a|(s>a)) | 1 | 1 | 0 | 0 | entailment |
(s&y) | (a|(s>a)) | 0 | 0 | 0 | 0 | not entailment |
((a|a)&(g>d)) | ~(~(((a|a)>y))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((~(d)|a)&~((g|g))))) | ~(((~(((g>(y|s))&d))&~((s>y)))&(g|g))) | 1 | 0 | 0 | 0 | entailment |
(s&(g|y)) | (((a>~(s))>g)|s) | 1 | 0 | 0 | 0 | entailment |
~(~(((~(d)|a)&~((g|g))))) | (((a>~(s))>g)|s) | 0 | 1 | 0 | 0 | not entailment |
(s&(g|y)) | ~(((~(((g>(y|s))&d))&~((s>y)))&(g|g))) | 0 | 0 | 0 | 0 | not entailment |
((d&((s>~(s))&d))&a) | ((d|g)>a) | 1 | 1 | 0 | 0 | entailment |
(((a>((a&g)&s))&((s>d)>g))&(~((s>a))&d)) | ((g>g)>g) | 1 | 1 | 1 | 0 | entailment |
((d&((s>~(s))&d))&a) | ((g>g)>g) | 0 | 1 | 0 | 0 | not entailment |
(((a>((a&g)&s))&((s>d)>g))&(~((s>a))&d)) | ((d|g)>a) | 0 | 1 | 1 | 0 | not entailment |
((g&s)&(g>((d>g)&d))) | (~(((a>d)>d))>(~(y)|s)) | 1 | 0 | 0 | 0 | entailment |
~(((s&g)|(~((s&(a&d)))>g))) | ((a&g)>(~((d>~(((s|s)>y))))&(a&s))) | 1 | 0 | 0 | 0 | entailment |
((g&s)&(g>((d>g)&d))) | ((a&g)>(~((d>~(((s|s)>y))))&(a&s))) | 0 | 0 | 0 | 0 | not entailment |
~(((s&g)|(~((s&(a&d)))>g))) | (~(((a>d)>d))>(~(y)|s)) | 0 | 1 | 0 | 0 | not entailment |
(~(g)&(s&~((a|y)))) | ~(~(((((d|s)&(g|d))&(s|(a|y)))|(a>g)))) | 1 | 0 | 0 | 0 | entailment |
(~(g)&(s&~((a|y)))) | (d>g) | 0 | 1 | 0 | 0 | not entailment |
~(d) | ~(~(((((d|s)&(g|d))&(s|(a|y)))|(a>g)))) | 0 | 0 | 0 | 0 | not entailment |
((((s&~((d>a)))&g)|s)&(a>~(g))) | ((((g|s)|y)|~((d>a)))&(((a&s)|g)>s)) | 1 | 0 | 0 | 0 | entailment |
~(((d|a)|~(((d|(~(s)|(s|s)))|(y&s))))) | ~((((a>y)|(y&g))>(d&a))) | 1 | 1 | 0 | 0 | entailment |
((((s&~((d>a)))&g)|s)&(a>~(g))) | ~((((a>y)|(y&g))>(d&a))) | 0 | 1 | 0 | 0 | not entailment |
~(((d|a)|~(((d|(~(s)|(s|s)))|(y&s))))) | ((((g|s)|y)|~((d>a)))&(((a&s)|g)>s)) | 0 | 1 | 0 | 0 | not entailment |
(((a&g)&(y>d))&(d|~(((g&a)|y)))) | ((y|(d>d))&((s|s)|(a|s))) | 1 | 1 | 0 | 0 | entailment |
(((d>a)>(d|a))>~((a>y))) | ~(~(~(((s|y)&((d|a)&(a&(y&g))))))) | 1 | 0 | 0 | 0 | entailment |
(((a&g)&(y>d))&(d|~(((g&a)|y)))) | ~(~(~(((s|y)&((d|a)&(a&(y&g))))))) | 0 | 0 | 0 | 0 | not entailment |
(((d>a)>(d|a))>~((a>y))) | ((y|(d>d))&((s|s)|(a|s))) | 0 | 1 | 0 | 0 | not entailment |
((a|y)&(~((y>g))>~(a))) | ((((d&((a>d)|s))>(a>d))>~((g|(d>y))))>a) | 1 | 0 | 0 | 0 | entailment |
(((g|(d>g))>g)&d) | (d|y) | 1 | 1 | 0 | 0 | entailment |
((a|y)&(~((y>g))>~(a))) | (d|y) | 0 | 1 | 0 | 0 | not entailment |
(((g|(d>g))>g)&d) | ((((d&((a>d)|s))>(a>d))>~((g|(d>y))))>a) | 0 | 0 | 0 | 0 | not entailment |
(((a>a)|s)>~((((y&d)&y)|(y>s)))) | (((~((g&(y&d)))|g)>(d&(s>a)))|(s>(y|d))) | 1 | 0 | 0 | 0 | entailment |
~((~(s)|(((y|g)&s)|a))) | (~(g)|~(~(((d|d)&(g&(y>d)))))) | 1 | 0 | 0 | 0 | entailment |
(((a>a)|s)>~((((y&d)&y)|(y>s)))) | (~(g)|~(~(((d|d)&(g&(y>d)))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(s)|(((y|g)&s)|a))) | (((~((g&(y&d)))|g)>(d&(s>a)))|(s>(y|d))) | 0 | 0 | 0 | 0 | not entailment |
(a&d) | (d&(a|~(~(~((g|d)))))) | 1 | 0 | 0 | 0 | entailment |
(y|((~(s)&a)|y)) | ~((s&(~(y)&d))) | 1 | 1 | 0 | 0 | entailment |
(a&d) | ~((s&(~(y)&d))) | 0 | 0 | 0 | 0 | not entailment |
(y|((~(s)&a)|y)) | (d&(a|~(~(~((g|d)))))) | 0 | 0 | 0 | 0 | not entailment |
(a|~(((((y>s)>g)&a)>((~(y)>d)&y)))) | ((a&(a|s))|((a|((g|d)&a))&g)) | 1 | 1 | 1 | 0 | entailment |
(g>~((y>(g&(d|g))))) | ((~(s)>~(s))>~((s&g))) | 1 | 0 | 0 | 0 | entailment |
(a|~(((((y>s)>g)&a)>((~(y)>d)&y)))) | ((~(s)>~(s))>~((s&g))) | 0 | 1 | 1 | 0 | not entailment |
(g>~((y>(g&(d|g))))) | ((a&(a|s))|((a|((g|d)&a))&g)) | 0 | 0 | 0 | 0 | not entailment |
((((g|y)|((a>y)|g))>a)&~(y)) | (a|~(s)) | 1 | 1 | 0 | 0 | entailment |
(y&d) | ~((g&~((d|(d|s))))) | 1 | 0 | 0 | 0 | entailment |
((((g|y)|((a>y)|g))>a)&~(y)) | ~((g&~((d|(d|s))))) | 0 | 1 | 0 | 0 | not entailment |
(y&d) | (a|~(s)) | 0 | 0 | 0 | 0 | not entailment |
((d>y)&(((g|g)|~((s&y)))&(s|s))) | ((d|(d>(g&a)))>(s|((s&~(a))|a))) | 1 | 1 | 0 | 0 | entailment |
~((d>~(d))) | (y|d) | 1 | 1 | 0 | 0 | entailment |
((d>y)&(((g|g)|~((s&y)))&(s|s))) | (y|d) | 0 | 1 | 1 | 0 | not entailment |
~((d>~(d))) | ((d|(d>(g&a)))>(s|((s&~(a))|a))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((s>(g|g))&(g>~(g))))>(d&d))|y)) | ((a|(g&g))|s) | 1 | 1 | 0 | 0 | entailment |
(y&(d|s)) | (a|y) | 1 | 1 | 0 | 0 | entailment |
~(((~(((s>(g|g))&(g>~(g))))>(d&d))|y)) | (a|y) | 0 | 1 | 0 | 0 | not entailment |
(y&(d|s)) | ((a|(g&g))|s) | 0 | 0 | 0 | 0 | not entailment |
((((~(s)|g)&s)>g)&~((~((y|d))>(g|s)))) | ((((g&d)&(~(y)>(~(d)&~(a))))>s)>~(y)) | 1 | 1 | 0 | 0 | entailment |
((a&a)&~(~((s|s)))) | (s|a) | 1 | 1 | 1 | 1 | entailment |
((((~(s)|g)&s)>g)&~((~((y|d))>(g|s)))) | (s|a) | 0 | 1 | 0 | 0 | not entailment |
((a&a)&~(~((s|s)))) | ((((g&d)&(~(y)>(~(d)&~(a))))>s)>~(y)) | 0 | 0 | 0 | 0 | not entailment |
~(((((g&g)>g)>(g>y))|(s&(((y|y)&y)>a)))) | ((((y&y)&~(g))>a)>((~(d)&s)>(g|y))) | 1 | 1 | 0 | 0 | entailment |
(s&(~(~(s))>((g>(d&g))|(g|(a|a))))) | ((((s|y)&(d&a))|y)|(a|s)) | 1 | 1 | 0 | 0 | entailment |
~(((((g&g)>g)>(g>y))|(s&(((y|y)&y)>a)))) | ((((s|y)&(d&a))|y)|(a|s)) | 0 | 1 | 0 | 0 | not entailment |
(s&(~(~(s))>((g>(d&g))|(g|(a|a))))) | ((((y&y)&~(g))>a)>((~(d)&s)>(g|y))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~((a&(~((s&a))>(a&~(d)))))))&a) | (d>(~(s)|a)) | 1 | 1 | 1 | 0 | entailment |
(((~((y>d))&(d>d))>(a|(~(y)&d)))>~(g)) | (~(y)>(g>~(g))) | 1 | 1 | 1 | 1 | entailment |
(~(~(~((a&(~((s&a))>(a&~(d)))))))&a) | (~(y)>(g>~(g))) | 0 | 1 | 0 | 0 | not entailment |
(((~((y>d))&(d>d))>(a|(~(y)&d)))>~(g)) | (d>(~(s)|a)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((s>a)&((g>g)&a)))) | (~((~((a>(s&(y|d))))|a))>~((a>g))) | 1 | 0 | 0 | 0 | entailment |
(g&~((g>~(~(~(s)))))) | (y|s) | 1 | 1 | 0 | 0 | entailment |
~(~(((s>a)&((g>g)&a)))) | (y|s) | 0 | 1 | 0 | 0 | not entailment |
(g&~((g>~(~(~(s)))))) | (~((~((a>(s&(y|d))))|a))>~((a>g))) | 0 | 0 | 0 | 0 | not entailment |
~(((s|~(f))&~(f))) | ((f&~(s))|s) | 1 | 1 | 1 | 0 | entailment |
((d>f)&~((d|f))) | (s|~(f)) | 1 | 1 | 0 | 0 | entailment |
~(((s|~(f))&~(f))) | (s|~(f)) | 0 | 1 | 1 | 0 | not entailment |
((d>f)&~((d|f))) | ((f&~(s))|s) | 0 | 1 | 0 | 0 | not entailment |
(f&s) | ((((((f>d)|(~(s)>d))&s)&s)|f)|(d&s)) | 1 | 0 | 0 | 0 | entailment |
((s>s)>(d>~(f))) | (f>~((s&d))) | 1 | 1 | 1 | 1 | entailment |
(f&s) | (f>~((s&d))) | 0 | 0 | 0 | 0 | not entailment |
((s>s)>(d>~(f))) | ((((((f>d)|(~(s)>d))&s)&s)|f)|(d&s)) | 0 | 0 | 1 | 0 | not entailment |
((((d|(s&s))>~(s))&(f|s))&f) | ((f>~(~(~(~((s|s))))))>((s|s)&d)) | 1 | 0 | 1 | 0 | entailment |
~((~(d)|f)) | ~(~(((s|(s>f))&(~(d)>(d&(f&(s>s))))))) | 1 | 0 | 0 | 0 | entailment |
((((d|(s&s))>~(s))&(f|s))&f) | ~(~(((s|(s>f))&(~(d)>(d&(f&(s>s))))))) | 0 | 0 | 1 | 0 | not entailment |
~((~(d)|f)) | ((f>~(~(~(~((s|s))))))>((s|s)&d)) | 0 | 0 | 0 | 0 | not entailment |
(f&s) | ((d|(s|f))|s) | 1 | 0 | 0 | 0 | entailment |
~((f|((s|d)|s))) | ~(((d&(f&s))|(d|(~(d)&f)))) | 1 | 0 | 1 | 0 | entailment |
(f&s) | ~(((d&(f&s))|(d|(~(d)&f)))) | 0 | 0 | 0 | 0 | not entailment |
~((f|((s|d)|s))) | ((d|(s|f))|s) | 0 | 1 | 1 | 0 | not entailment |
~((s>(f&f))) | ((f|((d|s)>~((f>f))))|s) | 1 | 0 | 0 | 0 | entailment |
~((~((s|~(f)))|~(d))) | (~(d)>f) | 1 | 1 | 1 | 0 | entailment |
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