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 |
|---|---|---|---|---|---|---|
(b&(((h>((v&v)&x))|v)&(v>~(h)))) | ((x|(h&q))|(x|(h&v))) | 0 | 1 | 0 | 0 | not entailment |
((((h|q)&~(b))>(b>(v>x)))>(x&(v&x))) | (b|~(((~(b)>v)&v))) | 0 | 1 | 1 | 0 | not entailment |
(v|(~(q)&(v&(x>(x&(b>v)))))) | ~(~(((v|x)>(v|(~(b)>v))))) | 1 | 1 | 1 | 0 | entailment |
~((~(x)|((~((h|x))&((h>q)>q))|q))) | ~((~(x)&~(((b|q)>~(~(b)))))) | 1 | 1 | 0 | 0 | entailment |
(v|(~(q)&(v&(x>(x&(b>v)))))) | ~((~(x)&~(((b|q)>~(~(b)))))) | 0 | 0 | 1 | 0 | not entailment |
~((~(x)|((~((h|x))&((h>q)>q))|q))) | ~(~(((v|x)>(v|(~(b)>v))))) | 0 | 1 | 0 | 0 | not entailment |
((q|~((~((~(h)|x))>b)))&(h&b)) | (~((x&~((q|q))))&((b|(b>v))|~((q>v)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((h>(v>~(v)))&((q>b)>v)))) | ((h|(b&h))>~(v)) | 1 | 1 | 1 | 1 | entailment |
((q|~((~((~(h)|x))>b)))&(h&b)) | ((h|(b&h))>~(v)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((h>(v>~(v)))&((q>b)>v)))) | (~((x&~((q|q))))&((b|(b>v))|~((q>v)))) | 0 | 0 | 0 | 0 | not entailment |
((x>(v&b))&((q|q)&h)) | ((~(((x>x)>(h>v)))>((x&x)|q))&h) | 1 | 0 | 1 | 0 | entailment |
(~((~(x)>h))&b) | ~((x&(q&q))) | 1 | 1 | 0 | 0 | entailment |
((x>(v&b))&((q|q)&h)) | ~((x&(q&q))) | 0 | 1 | 1 | 0 | not entailment |
(~((~(x)>h))&b) | ((~(((x>x)>(h>v)))>((x&x)|q))&h) | 0 | 0 | 0 | 0 | not entailment |
(b&(x>(h>v))) | (((q&q)>b)|h) | 1 | 1 | 0 | 0 | entailment |
(x>~(x)) | ((x>(q&b))|q) | 1 | 0 | 0 | 0 | entailment |
(b&(x>(h>v))) | ((x>(q&b))|q) | 0 | 1 | 0 | 0 | not entailment |
(x>~(x)) | (((q&q)>b)|h) | 0 | 0 | 0 | 0 | not entailment |
(~(((v>~(~(v)))>~(q)))&(h|b)) | (~((h|h))>(b>q)) | 1 | 1 | 1 | 0 | entailment |
~(q) | (((v&(v|v))>b)|(q>~(((h>x)>b)))) | 1 | 0 | 0 | 0 | entailment |
(~(((v>~(~(v)))>~(q)))&(h|b)) | (((v&(v|v))>b)|(q>~(((h>x)>b)))) | 0 | 1 | 0 | 0 | not entailment |
~(q) | (~((h|h))>(b>q)) | 0 | 0 | 0 | 0 | not entailment |
(x&b) | (x|x) | 1 | 1 | 1 | 1 | entailment |
~((v|~(b))) | ~(((x|v)&((x|v)&~(~((v&h)))))) | 1 | 0 | 0 | 0 | entailment |
(x&b) | ~(((x|v)&((x|v)&~(~((v&h)))))) | 0 | 0 | 0 | 0 | not entailment |
~((v|~(b))) | (x|x) | 0 | 1 | 0 | 0 | not entailment |
~(~((h&((q&v)&~((((x|b)&~(v))&v)))))) | ~(~(~((q>~(((b>q)>h)))))) | 1 | 1 | 1 | 0 | entailment |
~((~((x|b))|(h|h))) | (~((~(h)>b))|(b|(b|b))) | 1 | 0 | 1 | 0 | entailment |
~(~((h&((q&v)&~((((x|b)&~(v))&v)))))) | (~((~(h)>b))|(b|(b|b))) | 0 | 1 | 1 | 0 | not entailment |
~((~((x|b))|(h|h))) | ~(~(~((q>~(((b>q)>h)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((b>x))&~((b&x))) | (~(v)|(~(q)>b)) | 1 | 1 | 0 | 0 | entailment |
~((q|q)) | (((v|v)|~(q))|v) | 1 | 0 | 0 | 0 | entailment |
(~((b>x))&~((b&x))) | (((v|v)|~(q))|v) | 0 | 1 | 0 | 0 | not entailment |
~((q|q)) | (~(v)|(~(q)>b)) | 0 | 0 | 0 | 0 | not entailment |
~((q|(v&v))) | ((x&x)>(v>b)) | 1 | 1 | 0 | 0 | entailment |
(((b&h)>(q>(v|(v>v))))>(x&h)) | (((b>(((q>v)>(h&v))&(v>h)))|b)&x) | 1 | 0 | 1 | 0 | entailment |
~((q|(v&v))) | (((b>(((q>v)>(h&v))&(v>h)))|b)&x) | 0 | 0 | 0 | 0 | not entailment |
(((b&h)>(q>(v|(v>v))))>(x&h)) | ((x&x)>(v>b)) | 0 | 1 | 1 | 0 | not entailment |
~((~(q)|o)) | ~(~(((x|(~(k)&(p>o)))>(o>k)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((o&~(v))&(p>(((v&q)&(v>q))|o))))) | (o|~(((~((x>q))>q)>(p>q)))) | 1 | 1 | 0 | 0 | entailment |
~((~(q)|o)) | (o|~(((~((x>q))>q)>(p>q)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((o&~(v))&(p>(((v&q)&(v>q))|o))))) | ~(~(((x|(~(k)&(p>o)))>(o>k)))) | 0 | 1 | 0 | 0 | not entailment |
~((((q|p)&k)>(x>(p|p)))) | ((v|~((~(o)>p)))|(((v|(o>x))>(q|q))>o)) | 1 | 0 | 0 | 0 | entailment |
(((o|((x&o)&(x|x)))&o)|p) | (((p|o)|~((x|((o|k)&p))))&(v>v)) | 1 | 0 | 0 | 0 | entailment |
~((((q|p)&k)>(x>(p|p)))) | (((p|o)|~((x|((o|k)&p))))&(v>v)) | 0 | 0 | 0 | 0 | not entailment |
(((o|((x&o)&(x|x)))&o)|p) | ((v|~((~(o)>p)))|(((v|(o>x))>(q|q))>o)) | 0 | 0 | 0 | 0 | not entailment |
((q|(~(((v|(o|v))>x))|k))&~((k>q))) | (~((o|(((p&x)>(q>p))&k)))>(v|q)) | 1 | 1 | 0 | 0 | entailment |
(p&(p|(q>k))) | (p|~((q|o))) | 1 | 1 | 0 | 0 | entailment |
((q|(~(((v|(o|v))>x))|k))&~((k>q))) | (p|~((q|o))) | 0 | 1 | 0 | 0 | not entailment |
(p&(p|(q>k))) | (~((o|(((p&x)>(q>p))&k)))>(v|q)) | 0 | 0 | 0 | 0 | not entailment |
(v&p) | ~(~(p)) | 1 | 0 | 1 | 1 | entailment |
~((o|v)) | (v>x) | 1 | 1 | 0 | 0 | entailment |
(v&p) | (v>x) | 0 | 1 | 0 | 0 | not entailment |
~((o|v)) | ~(~(p)) | 0 | 1 | 0 | 0 | not entailment |
~(((p>o)|(q>o))) | (v>q) | 1 | 1 | 0 | 0 | entailment |
~((~(~(q))|~((k>q)))) | (x|(k>(v|v))) | 1 | 1 | 0 | 0 | entailment |
~(((p>o)|(q>o))) | (x|(k>(v|v))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(q))|~((k>q)))) | (v>q) | 0 | 1 | 0 | 0 | not entailment |
~(((k>v)>~(~(k)))) | ((k>~((p>q)))&(q|~((k&q)))) | 1 | 0 | 0 | 0 | entailment |
~((v>q)) | ~(~((v|q))) | 1 | 0 | 1 | 0 | entailment |
~(((k>v)>~(~(k)))) | ~(~((v|q))) | 0 | 1 | 0 | 0 | not entailment |
~((v>q)) | ((k>~((p>q)))&(q|~((k&q)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((p|(x|(o>(x>o))))&(x|v))&(k>x))>x)) | (k>(q&~(o))) | 1 | 1 | 0 | 0 | entailment |
((p>v)&k) | (~((x&~(~(q))))>(k|k)) | 1 | 0 | 0 | 0 | entailment |
~(((((p|(x|(o>(x>o))))&(x|v))&(k>x))>x)) | (~((x&~(~(q))))>(k|k)) | 0 | 1 | 0 | 0 | not entailment |
((p>v)&k) | (k>(q&~(o))) | 0 | 0 | 0 | 0 | not entailment |
~(((q|x)>~(((x&o)&~((v|q)))))) | (o|v) | 1 | 1 | 1 | 0 | entailment |
((p>p)&q) | (((v|v)|q)|(o&(k|p))) | 1 | 0 | 0 | 0 | entailment |
~(((q|x)>~(((x&o)&~((v|q)))))) | (((v|v)|q)|(o&(k|p))) | 0 | 1 | 0 | 0 | not entailment |
((p>p)&q) | (o|v) | 0 | 1 | 0 | 0 | not entailment |
(((q&v)|x)|((k>v)&(x&o))) | ((((k|v)&v)|x)|~((o>p))) | 1 | 1 | 0 | 0 | entailment |
~(((~(v)>(o|x))|((p>x)>x))) | ~(x) | 1 | 1 | 1 | 1 | entailment |
(((q&v)|x)|((k>v)&(x&o))) | ~(x) | 0 | 1 | 1 | 0 | not entailment |
~(((~(v)>(o|x))|((p>x)>x))) | ((((k|v)&v)|x)|~((o>p))) | 0 | 1 | 0 | 0 | not entailment |
(x&(((p|x)&(((p>o)&x)>k))|~((k&o)))) | (v>(o|x)) | 1 | 1 | 0 | 0 | entailment |
(((k|q)&(p|k))&~(q)) | ~(~(((q|p)>((((v>x)&k)>(p&k))|p)))) | 1 | 0 | 0 | 0 | entailment |
(x&(((p|x)&(((p>o)&x)>k))|~((k&o)))) | ~(~(((q|p)>((((v>x)&k)>(p&k))|p)))) | 0 | 1 | 0 | 0 | not entailment |
(((k|q)&(p|k))&~(q)) | (v>(o|x)) | 0 | 1 | 0 | 0 | not entailment |
~((((k&x)|(((p|o)>(k&p))|~(q)))>~(k))) | (((~(~(o))&q)|p)>~((~(k)&p))) | 1 | 1 | 1 | 1 | entailment |
(~((x>((p|v)&(p>k))))&(q&(x>v))) | (~((((v|k)>k)&o))|(x&o)) | 1 | 1 | 0 | 0 | entailment |
~((((k&x)|(((p|o)>(k&p))|~(q)))>~(k))) | (~((((v|k)>k)&o))|(x&o)) | 0 | 1 | 0 | 0 | not entailment |
(~((x>((p|v)&(p>k))))&(q&(x>v))) | (((~(~(o))&q)|p)>~((~(k)&p))) | 0 | 1 | 0 | 0 | not entailment |
(v&((k|(v|k))|((o>k)|(q|p)))) | (o>~(~(v))) | 1 | 1 | 1 | 1 | entailment |
~(((v&v)|p)) | ((x&q)|(q|(p>x))) | 1 | 0 | 0 | 0 | entailment |
(v&((k|(v|k))|((o>k)|(q|p)))) | ((x&q)|(q|(p>x))) | 0 | 1 | 0 | 0 | not entailment |
~(((v&v)|p)) | (o>~(~(v))) | 0 | 1 | 0 | 0 | not entailment |
((o&((~(~(p))|~((x|(v&v))))>p))&v) | ~((k&~(o))) | 1 | 1 | 0 | 0 | entailment |
(~((~(q)|x))&((p>(p&v))|k)) | (~(q)>(~(p)&(o&k))) | 1 | 1 | 0 | 0 | entailment |
((o&((~(~(p))|~((x|(v&v))))>p))&v) | (~(q)>(~(p)&(o&k))) | 0 | 1 | 0 | 0 | not entailment |
(~((~(q)|x))&((p>(p&v))|k)) | ~((k&~(o))) | 0 | 1 | 0 | 0 | not entailment |
((q&~(~((o|(x&(q&p))))))|(v&o)) | ((((x|x)>((q|k)>x))>(v>p))>(o|q)) | 1 | 1 | 0 | 0 | entailment |
(~(~((x|x)))&(v>p)) | (v>(~(p)>~((((q>~(k))>~(o))|q)))) | 1 | 0 | 0 | 0 | entailment |
((q&~(~((o|(x&(q&p))))))|(v&o)) | (v>(~(p)>~((((q>~(k))>~(o))|q)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((x|x)))&(v>p)) | ((((x|x)>((q|k)>x))>(v>p))>(o|q)) | 0 | 0 | 0 | 0 | not entailment |
(((p&x)>k)&o) | ((o|(o&q))|v) | 1 | 1 | 0 | 0 | entailment |
(((k|p)|~((o|x)))&p) | ((p>(p>o))>((k|((x&o)>p))|(~(q)>(x>k)))) | 1 | 0 | 0 | 0 | entailment |
(((p&x)>k)&o) | ((p>(p>o))>((k|((x&o)>p))|(~(q)>(x>k)))) | 0 | 0 | 0 | 0 | not entailment |
(((k|p)|~((o|x)))&p) | ((o|(o&q))|v) | 0 | 1 | 0 | 0 | not entailment |
(~((v&((((o&k)|k)|(k|x))|k)))&(v&p)) | ~(((k|((p&x)&~((k&v))))|k)) | 1 | 1 | 1 | 0 | entailment |
((k&o)&(k>(~(~((p&(x|p))))|((k|o)>o)))) | ((x|q)>(~((~(o)|x))>(k|(k|x)))) | 1 | 1 | 0 | 0 | entailment |
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