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 |
|---|---|---|---|---|---|---|
(h|((l>((h>l)&~(h)))&(h|h))) | (h&(~(l)|((l>(l|(l>h)))|~(h)))) | 1 | 0 | 1 | 1 | entailment |
(l|l) | ((l|l)|~((h|l))) | 1 | 0 | 0 | 0 | entailment |
(h|((l>((h>l)&~(h)))&(h|h))) | ((l|l)|~((h|l))) | 0 | 1 | 1 | 1 | not entailment |
(l|l) | (h&(~(l)|((l>(l|(l>h)))|~(h)))) | 0 | 0 | 0 | 0 | not entailment |
~((l>h)) | ((h|l)|l) | 1 | 1 | 1 | 0 | entailment |
(h|(h|~(l))) | (~(l)|(h&(l>h))) | 1 | 0 | 1 | 1 | entailment |
~((l>h)) | (~(l)|(h&(l>h))) | 0 | 0 | 1 | 0 | not entailment |
(h|(h|~(l))) | ((h|l)|l) | 0 | 1 | 1 | 0 | not entailment |
(l&h) | ~(~((h|(((h|~(h))|(h&h))>l)))) | 1 | 0 | 1 | 0 | entailment |
~(h) | (~((((l&h)>l)|~((l>l))))|~(((h>l)&h))) | 1 | 0 | 0 | 0 | entailment |
(l&h) | (~((((l&h)>l)|~((l>l))))|~(((h>l)&h))) | 0 | 0 | 1 | 0 | not entailment |
~(h) | ~(~((h|(((h|~(h))|(h&h))>l)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(h)>((l|l)&(l|l)))>(l>h))) | (l&((h>h)&(h>h))) | 1 | 1 | 1 | 1 | entailment |
(h&(l>~(~(~((~((h|h))>l)))))) | (h|(l>h)) | 1 | 1 | 1 | 1 | entailment |
~(((~(h)>((l|l)&(l|l)))>(l>h))) | (h|(l>h)) | 0 | 1 | 1 | 0 | not entailment |
(h&(l>~(~(~((~((h|h))>l)))))) | (l&((h>h)&(h>h))) | 0 | 1 | 1 | 0 | not entailment |
(h&(l&h)) | ((l|(l&l))>((h&h)&l)) | 1 | 0 | 1 | 0 | entailment |
(l&(~(l)|~(h))) | ~(h) | 1 | 1 | 1 | 1 | entailment |
(h&(l&h)) | ~(h) | 0 | 1 | 1 | 0 | not entailment |
(l&(~(l)|~(h))) | ((l|(l&l))>((h&h)&l)) | 0 | 0 | 1 | 0 | not entailment |
~(~(h)) | (~(((l|(l|l))&l))|(l&(l&h))) | 1 | 0 | 0 | 0 | entailment |
((l&(h>~(l)))&((h>l)|h)) | ((h>(l&h))&l) | 1 | 1 | 1 | 1 | entailment |
~(~(h)) | ((h>(l&h))&l) | 0 | 0 | 0 | 0 | not entailment |
((l&(h>~(l)))&((h>l)|h)) | (~(((l|(l|l))&l))|(l&(l&h))) | 0 | 0 | 1 | 1 | not entailment |
((l>h)&(((h&(h|h))>(l&h))&(l|h))) | ((l&l)|((h>l)&h)) | 1 | 1 | 1 | 1 | entailment |
~((((h|h)>(h&(l&h)))>(h|(l&~(~(l)))))) | (((h|l)|h)>~((h>(~(h)|(h|h))))) | 1 | 1 | 1 | 1 | entailment |
((l>h)&(((h&(h|h))>(l&h))&(l|h))) | (((h|l)|h)>~((h>(~(h)|(h|h))))) | 0 | 1 | 1 | 1 | not entailment |
~((((h|h)>(h&(l&h)))>(h|(l&~(~(l)))))) | ((l&l)|((h>l)&h)) | 0 | 1 | 1 | 1 | not entailment |
(l&(h&l)) | ((h|h)>(l|(~((~(h)&h))&l))) | 1 | 0 | 1 | 0 | entailment |
~((~(l)>((h&l)&((l&~(h))>h)))) | ~((l|l)) | 1 | 1 | 1 | 1 | entailment |
(l&(h&l)) | ~((l|l)) | 0 | 1 | 1 | 0 | not entailment |
~((~(l)>((h&l)&((l&~(h))>h)))) | ((h|h)>(l|(~((~(h)&h))&l))) | 0 | 1 | 1 | 0 | not entailment |
((h|h)|(l&(l>h))) | (l|((h&h)&h)) | 1 | 1 | 1 | 1 | entailment |
(((h&h)&~(~(~(l))))>(l&h)) | ~(~((((l&h)|h)>(h>l)))) | 1 | 1 | 1 | 0 | entailment |
((h|h)|(l&(l>h))) | ~(~((((l&h)|h)>(h>l)))) | 0 | 0 | 1 | 0 | not entailment |
(((h&h)&~(~(~(l))))>(l&h)) | (l|((h&h)&h)) | 0 | 1 | 1 | 1 | not entailment |
((h>((h>h)>l))&h) | (((h|l)&(h|(h>l)))&((l&(h&l))>(l&(h&h)))) | 1 | 0 | 1 | 0 | entailment |
~(((~(h)>(l|~((~(l)>(l>h)))))|l)) | ~(h) | 1 | 1 | 1 | 1 | entailment |
((h>((h>h)>l))&h) | ~(h) | 0 | 1 | 1 | 1 | not entailment |
~(((~(h)>(l|~((~(l)>(l>h)))))|l)) | (((h|l)&(h|(h>l)))&((l&(h&l))>(l&(h&h)))) | 0 | 0 | 1 | 1 | not entailment |
((h>l)&h) | ((((l>l)&h)|h)&h) | 1 | 0 | 1 | 0 | entailment |
~(h) | ((l>~((h|h)))|~(((~(h)&l)|l))) | 1 | 0 | 0 | 0 | entailment |
((h>l)&h) | ((l>~((h|h)))|~(((~(h)&l)|l))) | 0 | 0 | 1 | 0 | not entailment |
~(h) | ((((l>l)&h)|h)&h) | 0 | 0 | 0 | 0 | not entailment |
(h&(l&h)) | ((h|h)|~((~(l)>l))) | 1 | 0 | 1 | 0 | entailment |
(((h>h)>(~(~((l&(h|l))))>~(l)))|~(h)) | ~(((l&h)&(((l>l)>(h|l))|~(~((h>l)))))) | 1 | 1 | 1 | 0 | entailment |
(h&(l&h)) | ~(((l&h)&(((l>l)>(h|l))|~(~((h>l)))))) | 0 | 0 | 1 | 0 | not entailment |
(((h>h)>(~(~((l&(h|l))))>~(l)))|~(h)) | ((h|h)|~((~(l)>l))) | 0 | 1 | 1 | 1 | not entailment |
((h|(l>h))>(l&h)) | (l|~((h|h))) | 1 | 1 | 1 | 1 | entailment |
(h&~(l)) | (h&h) | 1 | 1 | 1 | 1 | entailment |
((h|(l>h))>(l&h)) | (h&h) | 0 | 1 | 1 | 1 | not entailment |
(h&~(l)) | (l|~((h|h))) | 0 | 0 | 1 | 0 | not entailment |
~(i) | (l>((q&o)|((o>(~(k)&~(o)))|~(i)))) | 1 | 0 | 0 | 0 | entailment |
((l&i)&((i|~(((l>q)>l)))|~(o))) | (~((o&k))>(l>i)) | 1 | 1 | 0 | 0 | entailment |
~(i) | (~((o&k))>(l>i)) | 0 | 0 | 0 | 0 | not entailment |
((l&i)&((i|~(((l>q)>l)))|~(o))) | (l>((q&o)|((o>(~(k)&~(o)))|~(i)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(k)&((o&q)>l))>(o>l))) | ((((o|(i|l))>(i>((k|q)>i)))&q)>((i&l)&l)) | 1 | 0 | 0 | 0 | entailment |
((l>o)&(i&q)) | ((i&(l|q))&(l|~(l))) | 1 | 0 | 1 | 0 | entailment |
~(((~(k)&((o&q)>l))>(o>l))) | ((i&(l|q))&(l|~(l))) | 0 | 1 | 0 | 0 | not entailment |
((l>o)&(i&q)) | ((((o|(i|l))>(i>((k|q)>i)))&q)>((i&l)&l)) | 0 | 0 | 0 | 0 | not entailment |
((((q|k)&(l>i))>(o|((i|k)>q)))&((k>o)&l)) | ((((l|((q>o)|l))&q)>k)|((l|l)&l)) | 1 | 1 | 1 | 0 | entailment |
(((l|l)>~(~(o)))&(o|(~(q)&(l&l)))) | (((q&~(o))|((q&k)&o))>(~((i&o))>(i|o))) | 1 | 0 | 0 | 0 | entailment |
((((q|k)&(l>i))>(o|((i|k)>q)))&((k>o)&l)) | (((q&~(o))|((q&k)&o))>(~((i&o))>(i|o))) | 0 | 1 | 1 | 0 | not entailment |
(((l|l)>~(~(o)))&(o|(~(q)&(l&l)))) | ((((l|((q>o)|l))&q)>k)|((l|l)&l)) | 0 | 1 | 0 | 0 | not entailment |
((k&o)&(k&i)) | ~(~(o)) | 1 | 1 | 1 | 1 | entailment |
((k&(l&k))|(i&~((o>~(l))))) | ~(~(~((~(l)&q)))) | 1 | 1 | 0 | 0 | entailment |
((k&o)&(k&i)) | ~(~(~((~(l)&q)))) | 0 | 0 | 0 | 0 | not entailment |
((k&(l&k))|(i&~((o>~(l))))) | ~(~(o)) | 0 | 1 | 1 | 1 | not entailment |
((((((q>(k|k))|l)&(q&k))|l)&i)|(~(i)>o)) | (~((q|o))>i) | 1 | 1 | 1 | 1 | entailment |
~(~((~(i)&(k|(k&(q>(o|~(q)))))))) | ((i|~(((o&l)>k)))>((~((i&o))|q)>k)) | 1 | 1 | 0 | 0 | entailment |
((((((q>(k|k))|l)&(q&k))|l)&i)|(~(i)>o)) | ((i|~(((o&l)>k)))>((~((i&o))|q)>k)) | 0 | 1 | 1 | 0 | not entailment |
~(~((~(i)&(k|(k&(q>(o|~(q)))))))) | (~((q|o))>i) | 0 | 1 | 1 | 0 | not entailment |
~(((i&(~(o)&q))>~((k|(l&i))))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
((k|(l&q))&l) | ~((l>(~(l)&(k>o)))) | 1 | 0 | 0 | 0 | entailment |
~(((i&(~(o)&q))>~((k|(l&i))))) | ~((l>(~(l)&(k>o)))) | 0 | 1 | 1 | 1 | not entailment |
((k|(l&q))&l) | ~(o) | 0 | 1 | 0 | 0 | not entailment |
((l&k)&i) | (((k&k)|((i|k)|(k|(o|i))))|l) | 1 | 0 | 0 | 0 | entailment |
((o>o)&q) | ~(((~((k>q))&k)&i)) | 1 | 0 | 0 | 0 | entailment |
((l&k)&i) | ~(((~((k>q))&k)&i)) | 0 | 0 | 0 | 0 | not entailment |
((o>o)&q) | (((k&k)|((i|k)|(k|(o|i))))|l) | 0 | 0 | 0 | 0 | not entailment |
~(~((k&i))) | ((~(l)|~(i))>((l>o)|~(q))) | 1 | 0 | 0 | 0 | entailment |
(q|q) | (((q|k)&~(~(l)))|(~((q|o))>o)) | 1 | 0 | 0 | 0 | entailment |
~(~((k&i))) | (((q|k)&~(~(l)))|(~((q|o))>o)) | 0 | 0 | 0 | 0 | not entailment |
(q|q) | ((~(l)|~(i))>((l>o)|~(q))) | 0 | 0 | 0 | 0 | not entailment |
(~((i|i))>((~((q&o))&o)|q)) | ((q&q)|((q&(k|o))|(i|o))) | 1 | 1 | 0 | 0 | entailment |
~(((l|k)|((l>o)>i))) | ~(~(((q|~(o))|(l>i)))) | 1 | 0 | 0 | 0 | entailment |
(~((i|i))>((~((q&o))&o)|q)) | ~(~(((q|~(o))|(l>i)))) | 0 | 1 | 0 | 0 | not entailment |
~(((l|k)|((l>o)>i))) | ((q&q)|((q&(k|o))|(i|o))) | 0 | 0 | 0 | 0 | not entailment |
~(~((q&((o&l)|((l|(q>l))>i))))) | ((~(((q&q)|o))&(~(k)>~(o)))>((k|l)|i)) | 1 | 0 | 0 | 0 | entailment |
(~(i)&((l&(q&(k|k)))|(q|((q>o)|(q&k))))) | (i>~(i)) | 1 | 1 | 1 | 1 | entailment |
~(~((q&((o&l)|((l|(q>l))>i))))) | (i>~(i)) | 0 | 1 | 1 | 0 | not entailment |
(~(i)&((l&(q&(k|k)))|(q|((q>o)|(q&k))))) | ((~(((q&q)|o))&(~(k)>~(o)))>((k|l)|i)) | 0 | 1 | 1 | 0 | not entailment |
(~(o)&((~(q)>o)|~(((l>k)>l)))) | ((o>((~(i)|l)&~(o)))|q) | 1 | 1 | 0 | 0 | entailment |
~(~((((o|k)>o)&k))) | (q|((~(i)|l)>(o|((k>q)&l)))) | 1 | 0 | 0 | 0 | entailment |
(~(o)&((~(q)>o)|~(((l>k)>l)))) | (q|((~(i)|l)>(o|((k>q)&l)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((((o|k)>o)&k))) | ((o>((~(i)|l)&~(o)))|q) | 0 | 0 | 0 | 0 | not entailment |
(i&~((k>((o&k)&(i|l))))) | ((l|o)>i) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(((~(~(o))|(o>(q&o)))&q))))) | (q|(i&(o&q))) | 1 | 1 | 0 | 0 | entailment |
(i&~((k>((o&k)&(i|l))))) | (q|(i&(o&q))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(((~(~(o))|(o>(q&o)))&q))))) | ((l|o)>i) | 0 | 1 | 0 | 0 | not entailment |
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