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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