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 |
|---|---|---|---|---|---|---|
(g&((~(s)&s)|(g>(~(f)&((~(x)&g)>s))))) | ((~(g)&x)|(f|~((f|~((x|~(g))))))) | 0 | 1 | 1 | 0 | not entailment |
~(((f&x)>(f&~(((~(~(g))>x)&s))))) | (x&(s|(s>x))) | 1 | 1 | 1 | 0 | entailment |
~(((((s|f)>g)>x)|~(~((s>((s|f)>f)))))) | ~(~(((~(x)>(f&x))>g))) | 1 | 1 | 1 | 1 | entailment |
~(((f&x)>(f&~(((~(~(g))>x)&s))))) | ~(~(((~(x)>(f&x))>g))) | 0 | 1 | 1 | 0 | not entailment |
~(((((s|f)>g)>x)|~(~((s>((s|f)>f)))))) | (x&(s|(s>x))) | 0 | 1 | 1 | 0 | not entailment |
~(f) | ((s>~(((f|g)&(g&(g|f)))))|(f>x)) | 1 | 0 | 0 | 0 | entailment |
(~((~((x|s))|(x|(g>x))))&(~(g)|g)) | ((s&(f>(f|g)))&((g&g)>(s|f))) | 1 | 1 | 0 | 0 | entailment |
~(f) | ((s&(f>(f|g)))&((g&g)>(s|f))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((x|s))|(x|(g>x))))&(~(g)|g)) | ((s>~(((f|g)&(g&(g|f)))))|(f>x)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((s&f)|(~(~(x))&g)))>(x>g))) | (~(((~(g)|s)>(g&x)))|(x|(f&(s|s)))) | 1 | 1 | 1 | 0 | entailment |
((s>~(~(f)))&(~(f)&~((f&f)))) | ~(~(((~(s)>((~(s)&f)&x))>f))) | 1 | 1 | 0 | 0 | entailment |
~((~(((s&f)|(~(~(x))&g)))>(x>g))) | ~(~(((~(s)>((~(s)&f)&x))>f))) | 0 | 1 | 1 | 0 | not entailment |
((s>~(~(f)))&(~(f)&~((f&f)))) | (~(((~(g)|s)>(g&x)))|(x|(f&(s|s)))) | 0 | 0 | 0 | 0 | not entailment |
((g&s)&((x|x)&g)) | ((x|~((s&~(x))))>(g&g)) | 1 | 0 | 1 | 0 | entailment |
~(f) | ~(((f>g)&((g>f)&f))) | 1 | 0 | 0 | 0 | entailment |
((g&s)&((x|x)&g)) | ~(((f>g)&((g>f)&f))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | ((x|~((s&~(x))))>(g&g)) | 0 | 0 | 0 | 0 | not entailment |
(((g|x)&(x|s))&((x>(~(s)|~((s&f))))&s)) | (s&s) | 1 | 1 | 1 | 1 | entailment |
(((s>f)|f)&(g&x)) | (g>(x|(f|(f&f)))) | 1 | 1 | 1 | 0 | entailment |
(((g|x)&(x|s))&((x>(~(s)|~((s&f))))&s)) | (g>(x|(f|(f&f)))) | 0 | 1 | 1 | 0 | not entailment |
(((s>f)|f)&(g&x)) | (s&s) | 0 | 1 | 1 | 0 | not entailment |
(((x>g)&f)|(((x|(f>g))>x)&f)) | (((~(x)>f)|g)&((f&f)|(~(s)|~(f)))) | 1 | 0 | 0 | 0 | entailment |
~((s&s)) | (s>g) | 1 | 1 | 0 | 0 | entailment |
(((x>g)&f)|(((x|(f>g))>x)&f)) | (s>g) | 0 | 1 | 0 | 0 | not entailment |
~((s&s)) | (((~(x)>f)|g)&((f&f)|(~(s)|~(f)))) | 0 | 0 | 0 | 0 | not entailment |
(g&((x&(~(f)>g))|x)) | ~((~((f>g))&~((x>~((s|~(s))))))) | 1 | 0 | 0 | 0 | entailment |
(~(((x>g)&(s>f)))&(g>~(((f&f)>s)))) | ~(((f>(x>(f>f)))&((~(~(x))|x)&g))) | 1 | 1 | 1 | 0 | entailment |
(g&((x&(~(f)>g))|x)) | ~(((f>(x>(f>f)))&((~(~(x))|x)&g))) | 0 | 0 | 1 | 0 | not entailment |
(~(((x>g)&(s>f)))&(g>~(((f&f)>s)))) | ~((~((f>g))&~((x>~((s|~(s))))))) | 0 | 1 | 1 | 0 | not entailment |
((x&((g|(s&f))&x))&(s&(g&x))) | ~((~(x)&s)) | 1 | 1 | 1 | 0 | entailment |
((f&(g|f))&(g>g)) | ~(~((((x|f)|(x|((~(x)|s)&(s&f))))>f))) | 1 | 0 | 0 | 0 | entailment |
((x&((g|(s&f))&x))&(s&(g&x))) | ~(~((((x|f)|(x|((~(x)|s)&(s&f))))>f))) | 0 | 0 | 1 | 0 | not entailment |
((f&(g|f))&(g>g)) | ~((~(x)&s)) | 0 | 1 | 0 | 0 | not entailment |
((f|f)&(x&g)) | ((s|g)&(x>(x>g))) | 1 | 0 | 0 | 0 | entailment |
~((f&(g>g))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
((f|f)&(x&g)) | ~(f) | 0 | 1 | 1 | 0 | not entailment |
~((f&(g>g))) | ((s|g)&(x>(x>g))) | 0 | 0 | 0 | 0 | not entailment |
((s&v)&g) | (g|g) | 1 | 1 | 1 | 1 | entailment |
~(((g|(v&s))&(g|v))) | (g>(~(s)&(~(s)>g))) | 1 | 1 | 1 | 0 | entailment |
((s&v)&g) | (g>(~(s)&(~(s)>g))) | 0 | 0 | 1 | 0 | not entailment |
~(((g|(v&s))&(g|v))) | (g|g) | 0 | 1 | 1 | 0 | not entailment |
~((g&((g&v)&g))) | ((v&g)>((s>g)&((s|~((g|g)))&(v|g)))) | 1 | 0 | 0 | 0 | entailment |
(((v|g)&(s|s))|g) | ~(~(((~(g)&s)>(v|g)))) | 1 | 0 | 1 | 0 | entailment |
~((g&((g&v)&g))) | ~(~(((~(g)&s)>(v|g)))) | 0 | 0 | 0 | 0 | not entailment |
(((v|g)&(s|s))|g) | ((v&g)>((s>g)&((s|~((g|g)))&(v|g)))) | 0 | 0 | 1 | 0 | not entailment |
((g>((v>v)&s))&(v&g)) | (~(~(g))>((~((v>s))&g)>((g>s)&s))) | 1 | 0 | 1 | 1 | entailment |
~(s) | ((((s|~((s|v)))&g)&((g|~(g))>v))>~(g)) | 1 | 0 | 0 | 0 | entailment |
((g>((v>v)&s))&(v&g)) | ((((s|~((s|v)))&g)&((g|~(g))>v))>~(g)) | 0 | 0 | 1 | 0 | not entailment |
~(s) | (~(~(g))>((~((v>s))&g)>((g>s)&s))) | 0 | 0 | 0 | 0 | not entailment |
((v|s)>v) | ((s&(s>v))|(v|~(s))) | 1 | 0 | 1 | 0 | entailment |
~((s>v)) | (~(~(~((~((s|g))|~((g|~(v)))))))|s) | 1 | 0 | 0 | 0 | entailment |
((v|s)>v) | (~(~(~((~((s|g))|~((g|~(v)))))))|s) | 0 | 0 | 0 | 0 | not entailment |
~((s>v)) | ((s&(s>v))|(v|~(s))) | 0 | 0 | 1 | 0 | not entailment |
~(~(s)) | (~(s)>g) | 1 | 1 | 0 | 0 | entailment |
(((s|v)|(~(v)|s))>~((~(v)>(s|(g&g))))) | ~(g) | 1 | 1 | 1 | 1 | entailment |
~(~(s)) | ~(g) | 0 | 1 | 0 | 0 | not entailment |
(((s|v)|(~(v)|s))>~((~(v)>(s|(g&g))))) | (~(s)>g) | 0 | 1 | 1 | 0 | not entailment |
(v|(g&v)) | ((g|(s|g))>(s|v)) | 1 | 0 | 0 | 0 | entailment |
~((s&(s&~(~(s))))) | ((s|s)>g) | 1 | 1 | 0 | 0 | entailment |
(v|(g&v)) | ((s|s)>g) | 0 | 1 | 0 | 0 | not entailment |
~((s&(s&~(~(s))))) | ((g|(s|g))>(s|v)) | 0 | 1 | 0 | 0 | not entailment |
~(((((v|(s&v))|(g>v))|(s|~(v)))>(g|g))) | ((g>~(v))>(g>~(s))) | 1 | 1 | 1 | 0 | entailment |
(~(~((~((~(g)>(g>~(s))))>(g|g))))>g) | (((s|v)|v)>((~(v)|v)>g)) | 1 | 1 | 0 | 0 | entailment |
~(((((v|(s&v))|(g>v))|(s|~(v)))>(g|g))) | (((s|v)|v)>((~(v)|v)>g)) | 0 | 1 | 1 | 0 | not entailment |
(~(~((~((~(g)>(g>~(s))))>(g|g))))>g) | ((g>~(v))>(g>~(s))) | 0 | 1 | 0 | 0 | not entailment |
~(~((((~(v)&s)>(g>s))&(v&g)))) | (~(v)>s) | 1 | 1 | 1 | 1 | entailment |
((~((s|s))&(s|~((v&(v>v)))))&(v>s)) | ((((~((g>(s|g)))|(g|g))>s)&(v>s))>~(g)) | 1 | 0 | 0 | 0 | entailment |
~(~((((~(v)&s)>(g>s))&(v&g)))) | ((((~((g>(s|g)))|(g|g))>s)&(v>s))>~(g)) | 0 | 0 | 1 | 1 | not entailment |
((~((s|s))&(s|~((v&(v>v)))))&(v>s)) | (~(v)>s) | 0 | 1 | 1 | 1 | not entailment |
((v|(v&v))&(((~(s)>~(s))|s)&(g|v))) | ((v|~((~(v)|v)))|~(s)) | 1 | 1 | 1 | 0 | entailment |
((g|(((g&s)>s)&(s>s)))>g) | ~(~((s|(s|(g&(((~(v)|g)>(s|s))>v)))))) | 1 | 0 | 0 | 0 | entailment |
((v|(v&v))&(((~(s)>~(s))|s)&(g|v))) | ~(~((s|(s|(g&(((~(v)|g)>(s|s))>v)))))) | 0 | 0 | 1 | 0 | not entailment |
((g|(((g&s)>s)&(s>s)))>g) | ((v|~((~(v)|v)))|~(s)) | 0 | 1 | 0 | 0 | not entailment |
(v&g) | ((((g>s)>((~(v)>(s>g))|s))>v)&g) | 1 | 0 | 0 | 0 | entailment |
~((~((g&g))>(v&v))) | ~(v) | 1 | 1 | 1 | 1 | entailment |
(v&g) | ~(v) | 0 | 1 | 1 | 0 | not entailment |
~((~((g&g))>(v&v))) | ((((g>s)>((~(v)>(s>g))|s))>v)&g) | 0 | 0 | 0 | 0 | not entailment |
(((s|s)|(g>g))&(~(g)&(g|v))) | ((~((v|(v|g)))>((s&v)>g))>(v&v)) | 1 | 0 | 1 | 0 | entailment |
(s&g) | (((g|(g>v))|(s&s))&(g&g)) | 1 | 0 | 0 | 0 | entailment |
(((s|s)|(g>g))&(~(g)&(g|v))) | (((g|(g>v))|(s&s))&(g&g)) | 0 | 1 | 1 | 1 | not entailment |
(s&g) | ((~((v|(v|g)))>((s&v)>g))>(v&v)) | 0 | 0 | 0 | 0 | not entailment |
~((v&g)) | ((v&g)>((g>g)>s)) | 1 | 0 | 0 | 0 | entailment |
(v&(s|(v|v))) | (s|(~(v)>(g&(v>s)))) | 1 | 0 | 0 | 0 | entailment |
~((v&g)) | (s|(~(v)>(g&(v>s)))) | 0 | 0 | 0 | 0 | not entailment |
(v&(s|(v|v))) | ((v&g)>((g>g)>s)) | 0 | 0 | 0 | 0 | not entailment |
(~(v)&s) | (~(g)|(s&(g|g))) | 1 | 0 | 0 | 0 | entailment |
((g&((((s|v)|s)>g)>(v|v)))&v) | ((g>((s|s)&~(s)))>g) | 1 | 1 | 1 | 0 | entailment |
(~(v)&s) | ((g>((s|s)&~(s)))>g) | 0 | 0 | 0 | 0 | not entailment |
((g&((((s|v)|s)>g)>(v|v)))&v) | (~(g)|(s&(g|g))) | 0 | 1 | 1 | 1 | not entailment |
~((v>~(s))) | (v|((v&g)&g)) | 1 | 1 | 0 | 0 | entailment |
((g>s)>(g&s)) | ((g>((v|((g>g)|(v>g)))&v))>((g|~(s))|g)) | 1 | 0 | 0 | 0 | entailment |
~((v>~(s))) | ((g>((v|((g>g)|(v>g)))&v))>((g|~(s))|g)) | 0 | 0 | 0 | 0 | not entailment |
((g>s)>(g&s)) | (v|((v&g)&g)) | 0 | 1 | 0 | 0 | not entailment |
(v&(s|(v|~(g)))) | ((g|g)|v) | 1 | 1 | 1 | 0 | entailment |
(g>(v&~((v>v)))) | ((((v>v)|g)&~(((v|g)&g)))|~((g>g))) | 1 | 0 | 1 | 0 | entailment |
(v&(s|(v|~(g)))) | ((((v>v)|g)&~(((v|g)&g)))|~((g>g))) | 0 | 0 | 1 | 0 | not entailment |
(g>(v&~((v>v)))) | ((g|g)|v) | 0 | 1 | 1 | 0 | not entailment |
(~(((~(v)|v)|(s>v)))|g) | (((v>v)|~((v|(g>v))))>(g|g)) | 1 | 0 | 1 | 0 | entailment |
(((g|v)&s)&((s|v)&v)) | ((~(~(g))&v)|(~(~(v))|(g&s))) | 1 | 0 | 1 | 1 | entailment |
(~(((~(v)|v)|(s>v)))|g) | ((~(~(g))&v)|(~(~(v))|(g&s))) | 0 | 0 | 1 | 1 | not entailment |
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