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)
|
(((y|(b&(~((((b>b)|y)>b))>y)))|l)|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(c&b)
|
((l>l)>c)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((l|(c>l)))&c))
|
~(~((c>l)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&b)
|
~(~((c>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((l|(c>l)))&c))
|
((l>l)>c)
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(y)>(l&c))>c)&(c&(c|(l|~((l|l))))))
|
~(((y>b)&~((c|l))))
| 1 | 1 | 0 | 0 |
entailment
|
(l|~((b|((l&y)&~((~(l)&~((l|l))))))))
|
(l|~(b))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(y)>(l&c))>c)&(c&(c|(l|~((l|l))))))
|
(l|~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
(l|~((b|((l&y)&~((~(l)&~((l|l))))))))
|
~(((y>b)&~((c|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(b>(c&y)))
|
(b&((c&((c>b)|(y>y)))|(~(~((c&c)))&c)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((~(b)&l)>(y|y)))&c)
|
(c&((b|l)&((b|((l>y)|b))>l)))
| 1 | 0 | 1 | 0 |
entailment
|
(b&(b>(c&y)))
|
(c&((b|l)&((b|((l>y)|b))>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~(b)&l)>(y|y)))&c)
|
(b&((c&((c>b)|(y>y)))|(~(~((c&c)))&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((y|l)>~(c))|(c>(l&(y|c)))))
|
(~(~(b))>(y|~((l>y))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((l>(l|(l>y)))>y)|c))
|
((((~((l>~(l)))|l)|b)&(y&y))>l)
| 1 | 0 | 0 | 0 |
entailment
|
~((((y|l)>~(c))|(c>(l&(y|c)))))
|
((((~((l>~(l)))|l)|b)&(y&y))>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((l>(l|(l>y)))>y)|c))
|
(~(~(b))>(y|~((l>y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(c)
|
(c>(b&((b&c)&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((b&~(b))>b)&(l&b))
|
(~(y)|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(c)
|
(~(y)|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(((b&~(b))>b)&(l&b))
|
(c>(b&((b&c)&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(y&b))
|
((c>(y|l))>b)
| 1 | 0 | 0 | 0 |
entailment
|
((l&c)&((~(((y|(c&c))>(l&l)))&y)|(b|l)))
|
(l|(~(y)|~((((~(b)>b)&l)>c))))
| 1 | 1 | 1 | 0 |
entailment
|
(c&(y&b))
|
(l|(~(y)|~((((~(b)>b)&l)>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&c)&((~(((y|(c&c))>(l&l)))&y)|(b|l)))
|
((c>(y|l))>b)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(((l>c)>l))>(c>c))>~(b)))
|
(l>(y>b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((b>c)))|c)
|
(~((b|(c&~(y))))|(c|(l&((y&l)|c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(((l>c)>l))>(c>c))>~(b)))
|
(~((b|(c&~(y))))|(c|(l&((y&l)|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((b>c)))|c)
|
(l>(y>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(b>((b&c)&y)))
|
((((l|b)>l)>(c>c))&y)
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>c)>(l|b)))
|
~(~(~(((b&(y>c))|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(b>((b&c)&y)))
|
~(~(~(((b&(y>c))|b))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((b>c)>(l|b)))
|
((((l|b)>l)>(c>c))&y)
| 0 | 0 | 0 | 0 |
not entailment
|
(b|(b&b))
|
((y|b)|(l&~((y>l))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((c|l)))|c)&(l|(((c&b)&l)&y)))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
(b|(b&b))
|
(l&l)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((c|l)))|c)&(l|(((c&b)&l)&y)))
|
((y|b)|(l&~((y>l))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(c)|(y&(b&~(y))))
|
(c>(~((((b>(y|y))|b)>y))|~(y)))
| 1 | 0 | 1 | 0 |
entailment
|
((b&c)&~(((b&~(l))&b)))
|
((c>(y>c))&(c&b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)|(y&(b&~(y))))
|
((c>(y>c))&(c&b))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&c)&~(((b&~(l))&b)))
|
(c>(~((((b>(y|y))|b)>y))|~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>c)>(c>(b>y))))
|
(~((~(c)&y))|c)
| 1 | 1 | 1 | 1 |
entailment
|
(y&l)
|
((c>y)|(y|l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>c)>(c>(b>y))))
|
((c>y)|(y|l))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&l)
|
(~((~(c)&y))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((l|b)&((~(y)&(b&(((y|c)&b)>(b>b))))&l))
|
(~(((b|(c|b))&~(l)))|~((c>~(c))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((l&c))>y)
|
~(~((((c|b)>c)|~(~(y)))))
| 1 | 0 | 0 | 0 |
entailment
|
((l|b)&((~(y)&(b&(((y|c)&b)>(b>b))))&l))
|
~(~((((c|b)>c)|~(~(y)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((l&c))>y)
|
(~(((b|(c|b))&~(l)))|~((c>~(c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&y)&b)
|
~(((l|y)>~(~((~((y|c))&c)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((b>(((((l&b)>b)|y)&y)|c)))
|
~((~(~((l>~(y))))&c))
| 1 | 1 | 1 | 0 |
entailment
|
((c&y)&b)
|
~((~(~((l>~(y))))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>(((((l&b)>b)|y)&y)|c)))
|
~(((l|y)>~(~((~((y|c))&c)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(c&(~(b)>l))
|
(~(((c|l)|c))>y)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(~(((l&b)&y)))))|~(b))
|
(y|((b>y)|~((y>y))))
| 1 | 1 | 1 | 0 |
entailment
|
(c&(~(b)>l))
|
(y|((b>y)|~((y>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(~(((l&b)&y)))))|~(b))
|
(~(((c|l)|c))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(h)|i)|(h|h))>((r|~(~(r)))&i))
|
(i|(((r>~((r|r)))>(r&i))&((h|h)&h)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((h>r)&(~((r|h))>((h&r)|(h>i)))))
|
(((h|h)|h)&(r>(i>i)))
| 1 | 1 | 1 | 0 |
entailment
|
(((~(h)|i)|(h|h))>((r|~(~(r)))&i))
|
(((h|h)|h)&(r>(i>i)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((h>r)&(~((r|h))>((h&r)|(h>i)))))
|
(i|(((r>~((r|r)))>(r&i))&((h|h)&h)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(i)
|
(((r&h)>(i&h))>(i>r))
| 1 | 0 | 0 | 0 |
entailment
|
(h|~((h>r)))
|
(((r|(h|h))>i)|(r>((i|(h|r))&h)))
| 1 | 0 | 0 | 0 |
entailment
|
~(i)
|
(((r|(h|h))>i)|(r>((i|(h|r))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h|~((h>r)))
|
(((r&h)>(i&h))>(i>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((r&r)|~(~((r>h)))))|(r&(i&i)))
|
((r|h)|~(~(((h&~(i))&h))))
| 1 | 1 | 1 | 0 |
entailment
|
~(i)
|
(i>(i&h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((r&r)|~(~((r>h)))))|(r&(i&i)))
|
(i>(i&h))
| 0 | 1 | 1 | 0 |
not entailment
|
~(i)
|
((r|h)|~(~(((h&~(i))&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h|h)
|
(h&h)
| 1 | 1 | 1 | 1 |
entailment
|
(r|r)
|
((h>i)|((r>r)>(h>(r|i))))
| 1 | 0 | 0 | 0 |
entailment
|
(h|h)
|
((h>i)|((r>r)>(h>(r|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|r)
|
(h&h)
| 0 | 1 | 0 | 0 |
not entailment
|
((i>(i&(((i>r)&(i>h))>h)))&(r&h))
|
~((((r>(r>i))|r)>~(h)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((((r>r)>r)>~((r>r)))>(i&(i>h))))
|
(r>(i&h))
| 1 | 1 | 1 | 0 |
entailment
|
((i>(i&(((i>r)&(i>h))>h)))&(r&h))
|
(r>(i&h))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((((r>r)>r)>~((r>r)))>(i&(i>h))))
|
~((((r>(r>i))|r)>~(h)))
| 0 | 1 | 1 | 0 |
not entailment
|
(i&(~((i|h))|(r&r)))
|
(h>(r&r))
| 1 | 1 | 1 | 1 |
entailment
|
((i|((~(r)|h)&~(h)))&~(~(h)))
|
(~(~(((r|h)&r)))>(h|h))
| 1 | 1 | 1 | 1 |
entailment
|
(i&(~((i|h))|(r&r)))
|
(~(~(((r|h)&r)))>(h|h))
| 0 | 0 | 1 | 0 |
not entailment
|
((i|((~(r)|h)&~(h)))&~(~(h)))
|
(h>(r&r))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r&(i>h)))
|
(((h>(r>r))>(r&~(i)))>(h&h))
| 1 | 0 | 1 | 0 |
entailment
|
((h>~((h&i)))&r)
|
(r|((r>~((~(r)>h)))&(r&h)))
| 1 | 0 | 1 | 0 |
entailment
|
~((r&(i>h)))
|
(r|((r>~((~(r)>h)))&(r&h)))
| 0 | 0 | 1 | 0 |
not entailment
|
((h>~((h&i)))&r)
|
(((h>(r>r))>(r&~(i)))>(h&h))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(r)|((r|r)|(r>(i&h))))&(h&r))
|
((h&i)|((~((h&(r&(h|r))))&r)>i))
| 1 | 1 | 1 | 1 |
entailment
|
(((h>i)>r)>~(((r>(i&h))|(h|h))))
|
((((h&r)|i)&~(i))>(h>i))
| 1 | 1 | 1 | 1 |
entailment
|
((~(r)|((r|r)|(r>(i&h))))&(h&r))
|
((((h&r)|i)&~(i))>(h>i))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h>i)>r)>~(((r>(i&h))|(h|h))))
|
((h&i)|((~((h&(r&(h|r))))&r)>i))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r>(i&i))>(i|(h>r))))
|
(~((h&i))|r)
| 1 | 1 | 1 | 0 |
entailment
|
(~((~(h)>(i>(r&h))))|i)
|
(i|((r|r)|r))
| 1 | 1 | 1 | 0 |
entailment
|
~(((r>(i&i))>(i|(h>r))))
|
(i|((r|r)|r))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(h)>(i>(r&h))))|i)
|
(~((h&i))|r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(r))
|
((h>~(~(((i>(i>i))&(i>h)))))&(r|(r|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
((((i|i)>i)&r)>h)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(r))
|
((((i|i)>i)&r)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(r)
|
((h>~(~(((i>(i>i))&(i>h)))))&(r|(r|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(r)>h))&((~(h)&i)>h))
|
~((((h>h)|((r|r)&r))>h))
| 1 | 1 | 1 | 0 |
entailment
|
(i|~((i|((i|h)>h))))
|
(h|i)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(r)>h))&((~(h)&i)>h))
|
(h|i)
| 0 | 1 | 1 | 0 |
not entailment
|
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