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 |
|---|---|---|---|---|---|---|
(~(o)|~((~(l)>(o|o)))) | ~((o&(~((s|((s|o)|l)))|s))) | 1 | 0 | 0 | 0 | entailment |
((o&((o|o)>l))&s) | (l&((s&(s&s))>o)) | 1 | 1 | 1 | 0 | entailment |
(~(o)|~((~(l)>(o|o)))) | (l&((s&(s&s))>o)) | 0 | 1 | 0 | 0 | not entailment |
((o&((o|o)>l))&s) | ~((o&(~((s|((s|o)|l)))|s))) | 0 | 0 | 1 | 0 | not entailment |
((~(((l>s)&s))>(o&~(l)))&((o>l)>~(s))) | (~(l)|~(((s>s)>(o>l)))) | 1 | 1 | 1 | 1 | entailment |
(s&(l|s)) | (~(l)>(l|s)) | 1 | 0 | 1 | 1 | entailment |
((~(((l>s)&s))>(o&~(l)))&((o>l)>~(s))) | (~(l)>(l|s)) | 0 | 1 | 1 | 0 | not entailment |
(s&(l|s)) | (~(l)|~(((s>s)>(o>l)))) | 0 | 0 | 0 | 0 | not entailment |
(l&(x|l)) | ((o|x)>(c|l)) | 1 | 0 | 0 | 0 | entailment |
(o&~(~(b))) | ((c>x)>((x>b)|o)) | 1 | 0 | 0 | 0 | entailment |
(l&(x|l)) | ((c>x)>((x>b)|o)) | 0 | 0 | 0 | 0 | not entailment |
(o&~(~(b))) | ((o|x)>(c|l)) | 0 | 1 | 0 | 0 | not entailment |
(~((b|b))&((x>((c&l)|(~(x)&l)))&c)) | (l|c) | 1 | 1 | 1 | 1 | entailment |
~((b|(x>(b&(x>o))))) | ((~((o&o))>x)|(b&b)) | 1 | 1 | 1 | 0 | entailment |
(~((b|b))&((x>((c&l)|(~(x)&l)))&c)) | ((~((o&o))>x)|(b&b)) | 0 | 1 | 0 | 0 | not entailment |
~((b|(x>(b&(x>o))))) | (l|c) | 0 | 1 | 0 | 0 | not entailment |
((~(c)&l)|~(~(l))) | (((x&o)&c)>(l&(x|l))) | 1 | 1 | 0 | 0 | entailment |
(~(c)>x) | ((~((~(~(c))>~((c|c))))|o)|x) | 1 | 0 | 0 | 0 | entailment |
((~(c)&l)|~(~(l))) | ((~((~(~(c))>~((c|c))))|o)|x) | 0 | 0 | 0 | 0 | not entailment |
(~(c)>x) | (((x&o)&c)>(l&(x|l))) | 0 | 0 | 0 | 0 | not entailment |
((x|l)&~(~(b))) | (l|((b>~(o))>b)) | 1 | 1 | 0 | 0 | entailment |
((~((c&(b&l)))&o)&(o&((c>l)&o))) | (l>(o|o)) | 1 | 1 | 1 | 1 | entailment |
((x|l)&~(~(b))) | (l>(o|o)) | 0 | 1 | 0 | 0 | not entailment |
((~((c&(b&l)))&o)&(o&((c>l)&o))) | (l|((b>~(o))>b)) | 0 | 1 | 1 | 0 | not entailment |
((o&(l&c))&((b&(b&b))&b)) | ((o&o)&((l|l)&o)) | 1 | 1 | 1 | 1 | entailment |
(b&~(l)) | (~(l)|x) | 1 | 1 | 0 | 0 | entailment |
((o&(l&c))&((b&(b&b))&b)) | (~(l)|x) | 0 | 1 | 0 | 0 | not entailment |
(b&~(l)) | ((o&o)&((l|l)&o)) | 0 | 0 | 0 | 0 | not entailment |
~(((b>b)&~(b))) | (~(l)>(x>b)) | 1 | 1 | 0 | 0 | entailment |
(~(c)&((b|o)|(b&c))) | ((((l>l)&c)|c)>~(((x>(o&x))>(o|o)))) | 1 | 0 | 0 | 0 | entailment |
~(((b>b)&~(b))) | ((((l>l)&c)|c)>~(((x>(o&x))>(o|o)))) | 0 | 0 | 0 | 0 | not entailment |
(~(c)&((b|o)|(b&c))) | (~(l)>(x>b)) | 0 | 1 | 0 | 0 | not entailment |
~((o>x)) | ~((c&((c|c)>x))) | 1 | 0 | 0 | 0 | entailment |
(l&o) | ((o|x)>((~(c)&(o>c))|l)) | 1 | 0 | 0 | 0 | entailment |
~((o>x)) | ((o|x)>((~(c)&(o>c))|l)) | 0 | 0 | 0 | 0 | not entailment |
(l&o) | ~((c&((c|c)>x))) | 0 | 0 | 0 | 0 | not entailment |
((((l&(l|b))>x)>(((l|l)|l)|(c|(c>b))))>l) | ((x>l)|(((~((b>o))|(~(b)>b))|o)&o)) | 1 | 1 | 0 | 0 | entailment |
((~(((b>(o|x))&(b>o)))&l)|b) | (b|((o|(~(b)&b))>(c>~(o)))) | 1 | 1 | 0 | 0 | entailment |
((((l&(l|b))>x)>(((l|l)|l)|(c|(c>b))))>l) | (b|((o|(~(b)&b))>(c>~(o)))) | 0 | 1 | 0 | 0 | not entailment |
((~(((b>(o|x))&(b>o)))&l)|b) | ((x>l)|(((~((b>o))|(~(b)>b))|o)&o)) | 0 | 0 | 1 | 0 | not entailment |
(o&(l|b)) | (b>o) | 1 | 1 | 1 | 0 | entailment |
((c|x)&((b&o)|~((~(o)>((b&c)>l))))) | ~((b>~(b))) | 1 | 1 | 1 | 1 | entailment |
(o&(l|b)) | ~((b>~(b))) | 0 | 0 | 1 | 1 | not entailment |
((c|x)&((b&o)|~((~(o)>((b&c)>l))))) | (b>o) | 0 | 1 | 1 | 0 | not entailment |
(x&(x>~(~((o&c))))) | (((b&~(~(x)))|x)>(c&(x>(o&o)))) | 1 | 0 | 0 | 0 | entailment |
(l&x) | (((x>(c>l))|~(((o|c)|x)))|(o&~(o))) | 1 | 0 | 0 | 0 | entailment |
(x&(x>~(~((o&c))))) | (((x>(c>l))|~(((o|c)|x)))|(o&~(o))) | 0 | 0 | 0 | 0 | not entailment |
(l&x) | (((b&~(~(x)))|x)>(c&(x>(o&o)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(x))|~((c&o)))) | (b>((o&o)|(l>x))) | 1 | 1 | 0 | 0 | entailment |
(((l>(b>o))|l)&(((l|o)>~(x))&(l&b))) | (((x>b)|o)>(~((c|l))|~(~(l)))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(x))|~((c&o)))) | (((x>b)|o)>(~((c|l))|~(~(l)))) | 0 | 0 | 0 | 0 | not entailment |
(((l>(b>o))|l)&(((l|o)>~(x))&(l&b))) | (b>((o&o)|(l>x))) | 0 | 1 | 1 | 0 | not entailment |
((b&(c>(l&c)))&(c&(c|c))) | ~(~((~(~(~(~((c|o)))))|l))) | 1 | 0 | 0 | 0 | entailment |
((((((l>l)&b)|l)>o)&(c>b))&((o>x)&x)) | (l>~(~((o&l)))) | 1 | 1 | 1 | 1 | entailment |
((b&(c>(l&c)))&(c&(c|c))) | (l>~(~((o&l)))) | 0 | 1 | 0 | 0 | not entailment |
((((((l>l)&b)|l)>o)&(c>b))&((o>x)&x)) | ~(~((~(~(~(~((c|o)))))|l))) | 0 | 1 | 1 | 0 | not entailment |
~(~((~(c)&((o&(b|c))|c)))) | (((b&c)>x)|~(l)) | 1 | 1 | 0 | 0 | entailment |
((o>(l&(c&x)))&(((b&o)>x)>c)) | (~((((x>~(c))|l)&l))>~(o)) | 1 | 1 | 1 | 0 | entailment |
~(~((~(c)&((o&(b|c))|c)))) | (~((((x>~(c))|l)&l))>~(o)) | 0 | 1 | 0 | 0 | not entailment |
((o>(l&(c&x)))&(((b&o)>x)>c)) | (((b&c)>x)|~(l)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(~(b)))) | (~((b|c))>~(o)) | 1 | 1 | 0 | 0 | entailment |
((~(c)>(x>c))|l) | ((~(l)&(l&c))|(x>(c|l))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(~(b)))) | ((~(l)&(l&c))|(x>(c|l))) | 0 | 0 | 0 | 0 | not entailment |
((~(c)>(x>c))|l) | (~((b|c))>~(o)) | 0 | 1 | 0 | 0 | not entailment |
(c&((b>o)|~(c))) | ((b>o)|(o|o)) | 1 | 1 | 1 | 1 | entailment |
(~((b>l))&((l>c)&~(l))) | ((((x|b)>o)>((c|l)|((b&c)&b)))>b) | 1 | 0 | 0 | 0 | entailment |
(c&((b>o)|~(c))) | ((((x|b)>o)>((c|l)|((b&c)&b)))>b) | 0 | 0 | 0 | 0 | not entailment |
(~((b>l))&((l>c)&~(l))) | ((b>o)|(o|o)) | 0 | 1 | 0 | 0 | not entailment |
((x&((l>l)|(b>l)))&((c|l)|l)) | (((o|l)|x)|(((l&c)>~(~((o&c))))&c)) | 1 | 0 | 0 | 0 | entailment |
~(((o>x)>x)) | ((o&(x>l))>(((b|x)|b)>((b>x)&b))) | 1 | 0 | 0 | 0 | entailment |
((x&((l>l)|(b>l)))&((c|l)|l)) | ((o&(x>l))>(((b|x)|b)>((b>x)&b))) | 0 | 0 | 0 | 0 | not entailment |
~(((o>x)>x)) | (((o|l)|x)|(((l&c)>~(~((o&c))))&c)) | 0 | 0 | 0 | 0 | not entailment |
((o&~((b|x)))|((c>c)&l)) | (((x|l)|((x>x)>~(b)))|~((x>~((l>c))))) | 1 | 0 | 1 | 0 | entailment |
(b|b) | ~(~(((o&x)>b))) | 1 | 0 | 0 | 0 | entailment |
((o&~((b|x)))|((c>c)&l)) | ~(~(((o&x)>b))) | 0 | 1 | 1 | 0 | not entailment |
(b|b) | (((x|l)|((x>x)>~(b)))|~((x>~((l>c))))) | 0 | 0 | 0 | 0 | not entailment |
~(((x>b)|o)) | ~(~(~((x>b)))) | 1 | 0 | 1 | 1 | entailment |
(c&l) | ((l>c)>(l|~((o>b)))) | 1 | 0 | 0 | 0 | entailment |
~(((x>b)|o)) | ((l>c)>(l|~((o>b)))) | 0 | 0 | 0 | 0 | not entailment |
(c&l) | ~(~(~((x>b)))) | 0 | 0 | 0 | 0 | not entailment |
(((c|(c&x))&(o|l))&((l|(x>l))|~(o))) | ((o&o)|((l>(l|x))>l)) | 1 | 1 | 1 | 0 | entailment |
(~(b)>~(~(((x&b)&~((x&l)))))) | (~((b|x))>x) | 1 | 1 | 1 | 1 | entailment |
(((c|(c&x))&(o|l))&((l|(x>l))|~(o))) | (~((b|x))>x) | 0 | 1 | 0 | 0 | not entailment |
(~(b)>~(~(((x&b)&~((x&l)))))) | ((o&o)|((l>(l|x))>l)) | 0 | 1 | 0 | 0 | not entailment |
~(((q&(q|q))>(~(((q|(q|q))|q))&q))) | ((q|(q|q))|q) | 1 | 1 | 1 | 1 | entailment |
~(q) | (((q&((q&q)|(q&(q>q))))|q)>~((q&q))) | 1 | 0 | 1 | 0 | entailment |
~(((q&(q|q))>(~(((q|(q|q))|q))&q))) | (((q&((q&q)|(q&(q>q))))|q)>~((q&q))) | 0 | 1 | 1 | 1 | not entailment |
~(q) | ((q|(q|q))|q) | 0 | 0 | 1 | 0 | not entailment |
(q|((q&q)|(q&~(q)))) | ((q|((((q|q)|q)|q)&(q>q)))&(q|q)) | 1 | 0 | 1 | 1 | entailment |
~((~((q|q))>((~(~(q))|q)|q))) | (~((q|(q|(q&q))))&~(q)) | 1 | 1 | 1 | 1 | entailment |
(q|((q&q)|(q&~(q)))) | (~((q|(q|(q&q))))&~(q)) | 0 | 0 | 1 | 1 | not entailment |
~((~((q|q))>((~(~(q))|q)|q))) | ((q|((((q|q)|q)|q)&(q>q)))&(q|q)) | 0 | 1 | 1 | 0 | not entailment |
((q&q)>~(~(~(q)))) | (~(~((q>~((~(q)&(q>q))))))&~(q)) | 1 | 0 | 1 | 0 | entailment |
~(((~(q)&((q&q)&(q|q)))|~((q&(q|q))))) | (q|q) | 1 | 1 | 1 | 1 | entailment |
((q&q)>~(~(~(q)))) | (q|q) | 0 | 1 | 1 | 0 | not entailment |
~(((~(q)&((q&q)&(q|q)))|~((q&(q|q))))) | (~(~((q>~((~(q)&(q>q))))))&~(q)) | 0 | 1 | 1 | 1 | not entailment |
~((((e&(x|d))|o)|d)) | ((o&(d>~(o)))>i) | 1 | 1 | 0 | 0 | entailment |
(((o|i)&~((d|(p>o))))|s) | ((s|f)|~(~(p))) | 1 | 1 | 0 | 0 | entailment |
~((((e&(x|d))|o)|d)) | ((s|f)|~(~(p))) | 0 | 1 | 0 | 0 | not entailment |
(((o|i)&~((d|(p>o))))|s) | ((o&(d>~(o)))>i) | 0 | 1 | 1 | 0 | not entailment |
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