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 |
|---|---|---|---|---|---|---|
((f|f)|~((l|l))) | ~(~((l>f))) | 1 | 1 | 1 | 1 | entailment |
((((l>~(f))>l)>~((l>~(~(f)))))>(l|l)) | (~(l)>f) | 1 | 1 | 1 | 1 | entailment |
((f|f)|~((l|l))) | (~(l)>f) | 0 | 1 | 1 | 0 | not entailment |
((((l>~(f))>l)>~((l>~(~(f)))))>(l|l)) | ~(~((l>f))) | 0 | 1 | 1 | 1 | not entailment |
(f&(l|l)) | (~(l)>((l|l)&l)) | 1 | 0 | 1 | 1 | entailment |
~((f&l)) | (l>((f>l)&~((l>f)))) | 1 | 0 | 1 | 0 | entailment |
(f&(l|l)) | (l>((f>l)&~((l>f)))) | 0 | 0 | 1 | 0 | not entailment |
~((f&l)) | (~(l)>((l|l)&l)) | 0 | 0 | 1 | 0 | not entailment |
(f&(f>f)) | ~(~((f&f))) | 1 | 0 | 1 | 1 | entailment |
(((l>f)>(l&l))&l) | ((l|~((~((f|f))>l)))|l) | 1 | 0 | 1 | 0 | entailment |
(f&(f>f)) | ((l|~((~((f|f))>l)))|l) | 0 | 0 | 0 | 0 | not entailment |
(((l>f)>(l&l))&l) | ~(~((f&f))) | 0 | 1 | 1 | 0 | not entailment |
~(((~((f|l))|~(f))|(l&f))) | ~((l&l)) | 1 | 1 | 1 | 1 | entailment |
((f&l)|(l|(l&(f|f)))) | (~(l)>(l|~(~(l)))) | 1 | 1 | 1 | 1 | entailment |
~(((~((f|l))|~(f))|(l&f))) | (~(l)>(l|~(~(l)))) | 0 | 1 | 1 | 1 | not entailment |
((f&l)|(l|(l&(f|f)))) | ~((l&l)) | 0 | 1 | 1 | 0 | not entailment |
((l&(~(~(~(f)))>l))&(l>(l|f))) | (l|f) | 1 | 1 | 1 | 1 | entailment |
~(~(~((f|(((~(f)>l)|f)&(f|f)))))) | ~(((l|((f|f)>f))&((f|f)|((l&f)&l)))) | 1 | 1 | 1 | 0 | entailment |
((l&(~(~(~(f)))>l))&(l>(l|f))) | ~(((l|((f|f)>f))&((f|f)|((l&f)&l)))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~((f|(((~(f)>l)|f)&(f|f)))))) | (l|f) | 0 | 1 | 1 | 0 | not entailment |
~(~((l&f))) | (((l>(f|f))>f)&(((l|l)&f)|l)) | 1 | 0 | 1 | 0 | entailment |
~(((f|l)>(l&l))) | ((l>f)&~((f&(l&f)))) | 1 | 0 | 1 | 0 | entailment |
~(~((l&f))) | ((l>f)&~((f&(l&f)))) | 0 | 0 | 1 | 0 | not entailment |
~(((f|l)>(l&l))) | (((l>(f|f))>f)&(((l|l)&f)|l)) | 0 | 0 | 1 | 0 | not entailment |
(l|f) | (~(l)>((l|f)|l)) | 1 | 0 | 1 | 1 | entailment |
(~(~(((l|l)>(l>l))))&~(((f|f)|l))) | ~(~(((l>f)|~(((l|f)>(l&l)))))) | 1 | 1 | 1 | 0 | entailment |
(l|f) | ~(~(((l>f)|~(((l|f)>(l&l)))))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(((l|l)>(l>l))))&~(((f|f)|l))) | (~(l)>((l|f)|l)) | 0 | 1 | 1 | 0 | not entailment |
(l|l) | (~(l)>f) | 1 | 0 | 0 | 0 | entailment |
~((~(f)>l)) | ~(((((((f|f)&l)>f)&f)&f)|(f&((l|f)&f)))) | 1 | 0 | 1 | 0 | entailment |
(l|l) | ~(((((((f|f)&l)>f)&f)&f)|(f&((l|f)&f)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(f)>l)) | (~(l)>f) | 0 | 1 | 1 | 0 | not entailment |
(f|f) | (((((l|f)>((f|(l|f))>f))&l)|~(f))>(l&l)) | 1 | 0 | 0 | 0 | entailment |
(~(((((f|f)|l)>(f&(l>l)))|(f>f)))|~(f)) | ((f|l)>(l|(l|l))) | 1 | 1 | 1 | 1 | entailment |
(f|f) | ((f|l)>(l|(l|l))) | 0 | 0 | 0 | 0 | not entailment |
(~(((((f|f)|l)>(f&(l>l)))|(f>f)))|~(f)) | (((((l|f)>((f|(l|f))>f))&l)|~(f))>(l&l)) | 0 | 1 | 1 | 1 | not entailment |
(~(f)&l) | (l&(l|f)) | 1 | 1 | 1 | 0 | entailment |
(~(~(~(f)))>((f&f)&(f|f))) | (l>((f>l)&f)) | 1 | 1 | 0 | 0 | entailment |
(~(f)&l) | (l>((f>l)&f)) | 0 | 0 | 1 | 0 | not entailment |
(~(~(~(f)))>((f&f)&(f|f))) | (l&(l|f)) | 0 | 1 | 0 | 0 | not entailment |
~((f|(f|f))) | ((~(f)|(l>l))&((f&l)>(l&~(f)))) | 1 | 0 | 0 | 0 | entailment |
(~((f|(f&f)))>(l|f)) | (l|((l>l)&f)) | 1 | 1 | 1 | 0 | entailment |
~((f|(f|f))) | (l|((l>l)&f)) | 0 | 1 | 0 | 0 | not entailment |
(~((f|(f&f)))>(l|f)) | ((~(f)|(l>l))&((f&l)>(l&~(f)))) | 0 | 0 | 1 | 0 | not entailment |
(~((((b>o)&(o>x))|o))|~(~(((b|o)>y)))) | (~(((a|(b>y))&o))>(x>((b&o)>(o>~(x))))) | 1 | 1 | 0 | 0 | entailment |
(((b|b)|(a>x))&~(~((o&b)))) | ~(~((a>(y>o)))) | 1 | 1 | 0 | 0 | entailment |
(~((((b>o)&(o>x))|o))|~(~(((b|o)>y)))) | ~(~((a>(y>o)))) | 0 | 1 | 0 | 0 | not entailment |
(((b|b)|(a>x))&~(~((o&b)))) | (~(((a|(b>y))&o))>(x>((b&o)>(o>~(x))))) | 0 | 0 | 0 | 0 | not entailment |
~((b>y)) | ((a&a)|(b&((o>b)|(y>x)))) | 1 | 0 | 0 | 0 | entailment |
((x|y)|o) | (~(y)>((((x|o)|o)>y)>a)) | 1 | 0 | 0 | 0 | entailment |
~((b>y)) | (~(y)>((((x|o)|o)>y)>a)) | 0 | 0 | 0 | 0 | not entailment |
((x|y)|o) | ((a&a)|(b&((o>b)|(y>x)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((b|(b|x))|b)))) | (b>(b&x)) | 1 | 1 | 1 | 0 | entailment |
(((x|b)>(o>~(~(a))))&a) | ~(~((((o|~(x))>(b|b))|(a|b)))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(((b|(b|x))|b)))) | ~(~((((o|~(x))>(b|b))|(a|b)))) | 0 | 0 | 0 | 0 | not entailment |
(((x|b)>(o>~(~(a))))&a) | (b>(b&x)) | 0 | 1 | 1 | 0 | not entailment |
~(((((b&b)|~(x))>(y>b))|((y&~(a))|b))) | ((x|((a>b)|(x>x)))&(x>o)) | 1 | 1 | 0 | 0 | entailment |
(((((x>b)&(x|a))|(b>b))&a)&(b&(~(o)|y))) | ~(~((~(~(~(o)))|((~(x)|y)>(y&b))))) | 1 | 1 | 1 | 0 | entailment |
~(((((b&b)|~(x))>(y>b))|((y&~(a))|b))) | ~(~((~(~(~(o)))|((~(x)|y)>(y&b))))) | 0 | 1 | 0 | 0 | not entailment |
(((((x>b)&(x|a))|(b>b))&a)&(b&(~(o)|y))) | ((x|((a>b)|(x>x)))&(x>o)) | 0 | 1 | 1 | 0 | not entailment |
~(((x&(x&y))>b)) | (~(((y|(o|y))>b))&(b>~(a))) | 1 | 0 | 0 | 0 | entailment |
(b&(a&x)) | (~(((x|(o>y))>a))|(b|~((o&o)))) | 1 | 0 | 0 | 0 | entailment |
~(((x&(x&y))>b)) | (~(((x|(o>y))>a))|(b|~((o&o)))) | 0 | 0 | 0 | 0 | not entailment |
(b&(a&x)) | (~(((y|(o|y))>b))&(b>~(a))) | 0 | 0 | 0 | 0 | not entailment |
(~(b)&a) | ((((y&b)&(y&(y&~(x))))>y)&(a|x)) | 1 | 0 | 0 | 0 | entailment |
((~(x)|(x|b))&((o|x)&~(~(~((x|b)))))) | (y|o) | 1 | 1 | 0 | 0 | entailment |
(~(b)&a) | (y|o) | 0 | 1 | 0 | 0 | not entailment |
((~(x)|(x|b))&((o|x)&~(~(~((x|b)))))) | ((((y&b)&(y&(y&~(x))))>y)&(a|x)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(b))|(y|b))) | ~((((~(a)&(~(o)>a))&y)&(o&y))) | 1 | 0 | 0 | 0 | entailment |
~((x>a)) | (((o>a)>(o>x))|b) | 1 | 0 | 0 | 0 | entailment |
~((~(~(b))|(y|b))) | (((o>a)>(o>x))|b) | 0 | 1 | 0 | 0 | not entailment |
~((x>a)) | ~((((~(a)&(~(o)>a))&y)&(o&y))) | 0 | 0 | 0 | 0 | not entailment |
~(((o|a)|(y>~((b|o))))) | (~(((x&((~(a)&o)>x))|b))>(a|y)) | 1 | 0 | 0 | 0 | entailment |
~((~(~((a>a)))&~((o&(a>(~(a)>x)))))) | ~(~((~((o&(b|o)))>x))) | 1 | 1 | 0 | 0 | entailment |
~(((o|a)|(y>~((b|o))))) | ~(~((~((o&(b|o)))>x))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((a>a)))&~((o&(a>(~(a)>x)))))) | (~(((x&((~(a)&o)>x))|b))>(a|y)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(b))>((x>y)|(y|o)))) | ((o|((x&b)&a))>((y>o)&a)) | 1 | 1 | 0 | 0 | entailment |
~(~(((((o>(y>o))>b)&~(~(x)))&y))) | (y&y) | 1 | 1 | 1 | 1 | entailment |
~((~(~(b))>((x>y)|(y|o)))) | (y&y) | 0 | 1 | 1 | 0 | not entailment |
~(~(((((o>(y>o))>b)&~(~(x)))&y))) | ((o|((x&b)&a))>((y>o)&a)) | 0 | 1 | 0 | 0 | not entailment |
(x&a) | ((((((o|x)>a)>a)>a)>a)&((a&y)>(x|a))) | 1 | 0 | 0 | 0 | entailment |
((b>x)&(y&~(a))) | (~(((o&o)|b))|((b|o)&y)) | 1 | 0 | 0 | 0 | entailment |
(x&a) | (~(((o&o)|b))|((b|o)&y)) | 0 | 0 | 0 | 0 | not entailment |
((b>x)&(y&~(a))) | ((((((o|x)>a)>a)>a)>a)&((a&y)>(x|a))) | 0 | 0 | 0 | 0 | not entailment |
((o|o)&(~((((y|b)&x)|y))>x)) | (~((a>b))>(~(y)>(o|b))) | 1 | 1 | 0 | 0 | entailment |
~((o|x)) | (y>(o>a)) | 1 | 1 | 0 | 0 | entailment |
((o|o)&(~((((y|b)&x)|y))>x)) | (y>(o>a)) | 0 | 1 | 0 | 0 | not entailment |
~((o|x)) | (~((a>b))>(~(y)>(o|b))) | 0 | 0 | 0 | 0 | not entailment |
(~(((x&a)>o))&(o>~(x))) | ((a|o)|o) | 1 | 1 | 1 | 0 | entailment |
(~(((x&a)>o))&(o>~(x))) | (b>y) | 0 | 1 | 0 | 0 | not entailment |
~(b) | ((a|o)|o) | 0 | 0 | 0 | 0 | not entailment |
((o&~(a))&(x>((x|o)>b))) | ((o|a)&(((y&o)&a)|(~((~(b)>o))>a))) | 1 | 0 | 0 | 0 | entailment |
~((((x>a)>o)|((y|o)&(y|(y>a))))) | ~((y&x)) | 1 | 1 | 1 | 1 | entailment |
((o&~(a))&(x>((x|o)>b))) | ~((y&x)) | 0 | 1 | 0 | 0 | not entailment |
~((((x>a)>o)|((y|o)&(y|(y>a))))) | ((o|a)&(((y&o)&a)|(~((~(b)>o))>a))) | 0 | 0 | 0 | 0 | not entailment |
~((x>y)) | (x&x) | 1 | 1 | 1 | 1 | entailment |
(o&a) | (~((~(o)>(y&y)))>~((a&(b|x)))) | 1 | 0 | 0 | 0 | entailment |
~((x>y)) | (~((~(o)>(y&y)))>~((a&(b|x)))) | 0 | 0 | 0 | 0 | not entailment |
(o&a) | (x&x) | 0 | 1 | 0 | 0 | not entailment |
~(~((((x&y)|x)&a))) | (x&x) | 1 | 1 | 1 | 1 | entailment |
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