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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