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 |
|---|---|---|---|---|---|---|
((l|(r>r))>r) | (~((r>~(r)))|(((x|x)>r)>(r&l))) | 1 | 0 | 0 | 0 | entailment |
~(~(l)) | ((x|(~((l>r))&(r|r)))|l) | 1 | 0 | 0 | 0 | entailment |
((l|(r>r))>r) | ((x|(~((l>r))&(r|r)))|l) | 0 | 0 | 0 | 0 | not entailment |
~(~(l)) | (~((r>~(r)))|(((x|x)>r)>(r&l))) | 0 | 0 | 0 | 0 | not entailment |
(v&(~(l)&x)) | ((~(r)&(r>r))>x) | 1 | 0 | 0 | 0 | entailment |
~((r&(r|~((l&(x&r)))))) | (((r&v)&v)>(r&l)) | 1 | 1 | 0 | 0 | entailment |
(v&(~(l)&x)) | (((r&v)&v)>(r&l)) | 0 | 0 | 0 | 0 | not entailment |
~((r&(r|~((l&(x&r)))))) | ((~(r)&(r>r))>x) | 0 | 1 | 1 | 1 | not entailment |
~((~((x>(v&(~(x)>r))))>(x>v))) | (~((x|l))>x) | 1 | 1 | 0 | 0 | entailment |
((v>v)>(v|(~((x|r))&l))) | ((x|~((v>~(l))))>v) | 1 | 1 | 1 | 0 | entailment |
~((~((x>(v&(~(x)>r))))>(x>v))) | ((x|~((v>~(l))))>v) | 0 | 1 | 0 | 0 | not entailment |
((v>v)>(v|(~((x|r))&l))) | (~((x|l))>x) | 0 | 1 | 1 | 0 | not entailment |
~(((v|v)&(r>(r&v)))) | ((~(((r>r)&~(v)))&v)>r) | 1 | 0 | 1 | 1 | entailment |
(~(((x|l)|r))&(v|v)) | ((~(((v|v)|x))|x)>(l&(x>((r|l)|v)))) | 1 | 0 | 1 | 0 | entailment |
~(((v|v)&(r>(r&v)))) | ((~(((v|v)|x))|x)>(l&(x>((r|l)|v)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((x|l)|r))&(v|v)) | ((~(((r>r)&~(v)))&v)>r) | 0 | 0 | 1 | 0 | not entailment |
((l&(v&r))&r) | (((x>r)>v)>((v&l)&l)) | 1 | 0 | 0 | 0 | entailment |
~(((l>r)|(x&v))) | ~((r&r)) | 1 | 1 | 1 | 1 | entailment |
((l&(v&r))&r) | ~((r&r)) | 0 | 1 | 1 | 0 | not entailment |
~(((l>r)|(x&v))) | (((x>r)>v)>((v&l)&l)) | 0 | 0 | 1 | 0 | not entailment |
(((~(~(r))&x)&(v&(l|(x&x))))|l) | ((~((r|l))>r)|((l&(r|x))&(x&(v&l)))) | 1 | 0 | 1 | 1 | entailment |
((v|r)|r) | ~((x&~((v|r)))) | 1 | 0 | 0 | 0 | entailment |
(((~(~(r))&x)&(v&(l|(x&x))))|l) | ~((x&~((v|r)))) | 0 | 1 | 1 | 0 | not entailment |
((v|r)|r) | ((~((r|l))>r)|((l&(r|x))&(x&(v&l)))) | 0 | 0 | 0 | 0 | not entailment |
((v|l)&~(((l|v)>x))) | (v|l) | 1 | 1 | 1 | 1 | entailment |
~((x|v)) | (((((l>l)&v)|(~(l)&(x&x)))|x)>(x&v)) | 1 | 0 | 0 | 0 | entailment |
((v|l)&~(((l|v)>x))) | (((((l>l)&v)|(~(l)&(x&x)))|x)>(x&v)) | 0 | 0 | 1 | 0 | not entailment |
~((x|v)) | (v|l) | 0 | 1 | 0 | 0 | not entailment |
(((r|l)&(r&r))&(l>r)) | (r&((l>r)|(x|r))) | 1 | 1 | 0 | 0 | entailment |
((x&~(~(((x>x)&(r|x)))))&((x&v)>~(r))) | (((v|v)>x)|(r&l)) | 1 | 1 | 0 | 0 | entailment |
(((r|l)&(r&r))&(l>r)) | (((v|v)>x)|(r&l)) | 0 | 1 | 0 | 0 | not entailment |
((x&~(~(((x>x)&(r|x)))))&((x&v)>~(r))) | (r&((l>r)|(x|r))) | 0 | 1 | 0 | 0 | not entailment |
((x&(v|r))&x) | (x&(x|(v&(l>v)))) | 1 | 0 | 0 | 0 | entailment |
~(((x|(v&l))|(r>(l|(l&(v>r)))))) | (((~(r)&r)|l)>(l>((l>r)>~(x)))) | 1 | 1 | 1 | 0 | entailment |
((x&(v|r))&x) | (((~(r)&r)|l)>(l>((l>r)>~(x)))) | 0 | 0 | 0 | 0 | not entailment |
~(((x|(v&l))|(r>(l|(l&(v>r)))))) | (x&(x|(v&(l>v)))) | 0 | 1 | 1 | 0 | not entailment |
~((p|((a|p)>~(r)))) | ((a|p)|a) | 1 | 1 | 1 | 1 | entailment |
(o|o) | ((a>((o>a)>o))|((p&p)|o)) | 1 | 0 | 0 | 0 | entailment |
~((p|((a|p)>~(r)))) | ((a>((o>a)>o))|((p&p)|o)) | 0 | 0 | 0 | 0 | not entailment |
(o|o) | ((a|p)|a) | 0 | 0 | 0 | 0 | not entailment |
(a&p) | (a|r) | 1 | 1 | 0 | 0 | entailment |
(~(o)&(o>(~((a|(p>r)))>r))) | ((p>((a&p)|a))>~((o&(~((p|~(a)))>a)))) | 1 | 0 | 1 | 0 | entailment |
(a&p) | ((p>((a&p)|a))>~((o&(~((p|~(a)))>a)))) | 0 | 0 | 0 | 0 | not entailment |
(~(o)&(o>(~((a|(p>r)))>r))) | (a|r) | 0 | 1 | 1 | 1 | not entailment |
(r&(p&((a>(p&~(p)))|a))) | (((r&a)&(o|a))|((~((p>o))>r)&p)) | 1 | 0 | 0 | 0 | entailment |
((o|o)&(r|p)) | (~((((o&~(o))|r)>p))|o) | 1 | 0 | 1 | 0 | entailment |
(r&(p&((a>(p&~(p)))|a))) | (~((((o&~(o))|r)>p))|o) | 0 | 1 | 0 | 0 | not entailment |
((o|o)&(r|p)) | (((r&a)&(o|a))|((~((p>o))>r)&p)) | 0 | 0 | 0 | 0 | not entailment |
(p&(o&(a>~((r|a))))) | (~((((p&~(o))&a)|(((o>r)&r)&p)))>(r>a)) | 1 | 0 | 1 | 0 | entailment |
(~(a)&r) | ~(~(r)) | 1 | 1 | 1 | 1 | entailment |
(p&(o&(a>~((r|a))))) | ~(~(r)) | 0 | 1 | 1 | 0 | not entailment |
(~(a)&r) | (~((((p&~(o))&a)|(((o>r)&r)&p)))>(r>a)) | 0 | 0 | 0 | 0 | not entailment |
(((p>a)&((a>(a&~(~(a))))&~((o>r))))&p) | (((p&p)&~(~(r)))>~(~(~((o|r))))) | 1 | 1 | 1 | 0 | entailment |
~((r>o)) | ~((p&o)) | 1 | 1 | 0 | 0 | entailment |
(((p>a)&((a>(a&~(~(a))))&~((o>r))))&p) | ~((p&o)) | 0 | 1 | 1 | 0 | not entailment |
~((r>o)) | (((p&p)&~(~(r)))>~(~(~((o|r))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((o>r)|~(a)))>p)|~(o))) | ((a|a)|((r>r)&(~(((a|a)&r))>p))) | 1 | 1 | 1 | 0 | entailment |
~(~(~((a|(r>o))))) | ((r>r)>~(((a&(((r>o)>o)|a))&((p>r)|p)))) | 1 | 0 | 0 | 0 | entailment |
~(((~(((o>r)|~(a)))>p)|~(o))) | ((r>r)>~(((a&(((r>o)>o)|a))&((p>r)|p)))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~((a|(r>o))))) | ((a|a)|((r>r)&(~(((a|a)&r))>p))) | 0 | 0 | 0 | 0 | not entailment |
(((o&o)|o)&~(r)) | ((o|(o&(a|r)))|(o&r)) | 1 | 0 | 0 | 0 | entailment |
(((p>a)|a)>~(~((p|p)))) | (p|r) | 1 | 1 | 0 | 0 | entailment |
(((o&o)|o)&~(r)) | (p|r) | 0 | 1 | 0 | 0 | not entailment |
(((p>a)|a)>~(~((p|p)))) | ((o|(o&(a|r)))|(o&r)) | 0 | 1 | 0 | 0 | not entailment |
(((o>o)&(o&p))|o) | (a>(o|((p|a)&p))) | 1 | 1 | 0 | 0 | entailment |
((o&a)|a) | ((p|r)|a) | 1 | 1 | 0 | 0 | entailment |
(((o>o)&(o&p))|o) | ((p|r)|a) | 0 | 1 | 0 | 0 | not entailment |
((o&a)|a) | (a>(o|((p|a)&p))) | 0 | 0 | 0 | 0 | not entailment |
((((o|p)&p)>r)>p) | ((p|(p&o))&~(~((a|(o|(p|o)))))) | 1 | 0 | 0 | 0 | entailment |
~((((p|p)|((a>o)&a))>(p&p))) | (r>(r&a)) | 1 | 1 | 0 | 0 | entailment |
((((o|p)&p)>r)>p) | (r>(r&a)) | 0 | 1 | 0 | 0 | not entailment |
~((((p|p)|((a>o)&a))>(p&p))) | ((p|(p&o))&~(~((a|(o|(p|o)))))) | 0 | 0 | 1 | 1 | not entailment |
(p&p) | (p&((o>r)|~(r))) | 1 | 0 | 0 | 0 | entailment |
(((a|(p|r))>o)&(a|r)) | ~(~((~(~(o))|~(a)))) | 1 | 0 | 1 | 1 | entailment |
(p&p) | ~(~((~(~(o))|~(a)))) | 0 | 0 | 0 | 0 | not entailment |
(((a|(p|r))>o)&(a|r)) | (p&((o>r)|~(r))) | 0 | 1 | 1 | 0 | not entailment |
~((a|((p|a)>o))) | ~((o&p)) | 1 | 1 | 1 | 0 | entailment |
(p&~((a|r))) | ~((~(~((p>r)))|a)) | 1 | 0 | 1 | 1 | entailment |
~((a|((p|a)>o))) | ~((~(~((p>r)))|a)) | 0 | 0 | 0 | 0 | not entailment |
(p&~((a|r))) | ~((o&p)) | 0 | 1 | 0 | 0 | not entailment |
((a|o)>p) | ((o&o)>p) | 1 | 1 | 1 | 1 | entailment |
((~((~(o)|r))>(p&a))&o) | (((r|p)|(o&r))>(((o&a)|r)>(a|o))) | 1 | 0 | 1 | 0 | entailment |
((a|o)>p) | (((r|p)|(o&r))>(((o&a)|r)>(a|o))) | 0 | 0 | 0 | 0 | not entailment |
((~((~(o)|r))>(p&a))&o) | ((o&o)>p) | 0 | 1 | 1 | 1 | not entailment |
~((p|r)) | ((r>o)>(r>(p|~(~((a&o)))))) | 1 | 0 | 0 | 0 | entailment |
(((a>p)&r)|(o&r)) | (p|(r|o)) | 1 | 1 | 1 | 1 | entailment |
~((p|r)) | (p|(r|o)) | 0 | 1 | 0 | 0 | not entailment |
(((a>p)&r)|(o&r)) | ((r>o)>(r>(p|~(~((a&o)))))) | 0 | 0 | 1 | 0 | not entailment |
(~((a|o))&r) | (((o>p)&p)>(a>o)) | 1 | 0 | 0 | 0 | entailment |
(a&(r|a)) | (a&a) | 1 | 1 | 1 | 1 | entailment |
(~((a|o))&r) | (a&a) | 0 | 1 | 1 | 0 | not entailment |
(a&(r|a)) | (((o>p)&p)>(a>o)) | 0 | 0 | 0 | 0 | not entailment |
(((o|r)&((p&(a&r))&p))&(o>(p>p))) | (a|((o|(a|~(~((((p|r)>a)|p)))))|~(r))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(a))) | (~(p)|(o|(~(a)&(r|p)))) | 1 | 0 | 0 | 0 | entailment |
(((o|r)&((p&(a&r))&p))&(o>(p>p))) | (~(p)|(o|(~(a)&(r|p)))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(a))) | (a|((o|(a|~(~((((p|r)>a)|p)))))|~(r))) | 0 | 0 | 0 | 0 | not entailment |
(q&w) | (w|w) | 1 | 1 | 1 | 1 | entailment |
((~(~((p|e)))&((w>q)&q))&(n|n)) | (s>(q&n)) | 1 | 1 | 0 | 0 | entailment |
(q&w) | (s>(q&n)) | 0 | 0 | 0 | 0 | not entailment |
((~(~((p|e)))&((w>q)&q))&(n|n)) | (w|w) | 0 | 1 | 1 | 0 | not entailment |
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