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