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|(p|j))&(s|s))
|
((b&~((p|((l>b)>s))))>~((k>~((j>k)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|~((j|((p|j)>(p|s))))))
|
(~((~((j&s))&s))|p)
| 1 | 1 | 1 | 1 |
entailment
|
((b|(p|j))&(s|s))
|
(~((~((j&s))&s))|p)
| 0 | 0 | 1 | 0 |
not entailment
|
~((s|~((j|((p|j)>(p|s))))))
|
((b&~((p|((l>b)>s))))>~((k>~((j>k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(k)&l)
|
(((s|j)&k)|(((b>k)&b)>l))
| 1 | 0 | 0 | 0 |
entailment
|
(((((((p>p)|~(k))&(p|k))|(p|k))>l)>s)&p)
|
(~(k)>p)
| 1 | 1 | 1 | 1 |
entailment
|
(~(k)&l)
|
(~(k)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((((p>p)|~(k))&(p|k))|(p|k))>l)>s)&p)
|
(((s|j)&k)|(((b>k)&b)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((s&k)|~(((b&j)|(k>k))))
|
(~(s)>~(k))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(p))
|
(p|l)
| 1 | 1 | 0 | 0 |
entailment
|
((s&k)|~(((b&j)|(k>k))))
|
(p|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(p))
|
(~(s)>~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&s)
|
((s&b)|l)
| 1 | 0 | 0 | 0 |
entailment
|
((k&s)&(k|(s|p)))
|
(b|k)
| 1 | 1 | 0 | 0 |
entailment
|
(l&s)
|
(b|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&s)&(k|(s|p)))
|
((s&b)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(b)|(j|k))&(p>(k>j)))|(s>j)))
|
((j|s)|((~(p)&k)|l))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>s))
|
(k|~(((((l|l)>~(k))&p)&(b|l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(b)|(j|k))&(p>(k>j)))|(s>j)))
|
(k|~(((((l|l)>~(k))&p)&(b|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>s))
|
((j|s)|((~(p)&k)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&((p|b)>k))&((p|k)|p))
|
((k&k)|(l>~((p|p))))
| 1 | 1 | 1 | 0 |
entailment
|
~((((s>k)>(s&(~(j)|s)))>k))
|
~(((~(((k&s)>l))>((p>(l|j))|j))&k))
| 1 | 0 | 0 | 0 |
entailment
|
((l&((p|b)>k))&((p|k)|p))
|
~(((~(((k&s)>l))>((p>(l|j))|j))&k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s>k)>(s&(~(j)|s)))>k))
|
((k&k)|(l>~((p|p))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((j>~(s))&p)&l)&(k|~(((l&l)|l))))
|
((s|(j>(p|(b&k))))|(s&(s|j)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(l)&((k>(s|p))|b))
|
~(~(~(l)))
| 1 | 1 | 1 | 1 |
entailment
|
((((j>~(s))&p)&l)&(k|~(((l&l)|l))))
|
~(~(~(l)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(l)&((k>(s|p))|b))
|
((s|(j>(p|(b&k))))|(s&(s|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(k))
|
(s>((b>(b>k))|(s&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((j|k))
|
~((((l>p)|~(k))&k))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(k))
|
~((((l>p)|~(k))&k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j|k))
|
(s>((b>(b>k))|(s&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c>c)|o)>j)&o)
|
~(~(~(~((c>(b>o))))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((j>j))>(c|c))>b)
|
(j>b)
| 1 | 1 | 1 | 1 |
entailment
|
((((c>c)|o)>j)&o)
|
(j>b)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((j>j))>(c|c))>b)
|
~(~(~(~((c>(b>o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j|~((c|b)))
|
(((b>j)&(c>(j|o)))|c)
| 1 | 0 | 0 | 0 |
entailment
|
((b>~((b>((b&j)|(j>(~((o>o))>c))))))>o)
|
((o|o)|(((b|(c&o))&b)&b))
| 1 | 1 | 1 | 1 |
entailment
|
(j|~((c|b)))
|
((o|o)|(((b|(c&o))&b)&b))
| 0 | 0 | 0 | 0 |
not entailment
|
((b>~((b>((b&j)|(j>(~((o>o))>c))))))>o)
|
(((b>j)&(c>(j|o)))|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((c&j)))&(o&b))
|
((c&j)&j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((j|(~(c)>o))|(o&(b|j))))
|
(~((c&o))&((j>c)|((j|o)&o)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((c&j)))&(o&b))
|
(~((c&o))&((j>c)|((j|o)&o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((j|(~(c)>o))|(o&(b|j))))
|
((c&j)&j)
| 0 | 1 | 1 | 0 |
not entailment
|
(((b&c)&~(j))&b)
|
((o|o)>b)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((j&j)))>b))
|
(b>(o&c))
| 1 | 1 | 0 | 0 |
entailment
|
(((b&c)&~(j))&b)
|
(b>(o&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((j&j)))>b))
|
((o|o)>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((b>c)>((b|j)&~(o))))&(o|c)))
|
(~(c)>~(~((o>b))))
| 1 | 1 | 1 | 0 |
entailment
|
(o>(j&(c>~(c))))
|
((o>(c&~((c&(c&b)))))|(j&(j|(b>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((b>c)>((b|j)&~(o))))&(o|c)))
|
((o>(c&~((c&(c&b)))))|(j&(j|(b>c))))
| 0 | 1 | 1 | 0 |
not entailment
|
(o>(j&(c>~(c))))
|
(~(c)>~(~((o>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j|o))
|
(o>((j&o)&j))
| 1 | 0 | 1 | 0 |
entailment
|
(((c>((j>b)>c))|((c>b)|b))&(b&o))
|
((~(o)>c)|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((j|o))
|
((~(o)>c)|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(((c>((j>b)>c))|((c>b)|b))&(b&o))
|
(o>((j&o)&j))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&j)&j)
|
(j|(c&c))
| 1 | 1 | 0 | 0 |
entailment
|
~((b>((b>j)&j)))
|
(o|((j>c)|(c&((b>o)>(j&b)))))
| 1 | 0 | 0 | 0 |
entailment
|
((b&j)&j)
|
(o|((j>c)|(c&((b>o)>(j&b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>((b>j)&j)))
|
(j|(c&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~(o)&(c>~(o)))&b)))
|
(o>((b|j)|~(o)))
| 1 | 1 | 0 | 0 |
entailment
|
(j>~((((o&c)>(~(o)&o))|c)))
|
((c&b)|~((b&(j&b))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~(o)&(c>~(o)))&b)))
|
((c&b)|~((b&(j&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
(j>~((((o&c)>(~(o)&o))|c)))
|
(o>((b|j)|~(o)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>~(((b&j)|c)))&(o&(j>~((b&(c>j))))))
|
(~((o&((b&o)|c)))>((j>~(c))|~(j)))
| 1 | 1 | 1 | 0 |
entailment
|
(c&~(o))
|
(c&(~(~(((b&b)>((o>j)|j))))>c))
| 1 | 0 | 0 | 0 |
entailment
|
((o>~(((b&j)|c)))&(o&(j>~((b&(c>j))))))
|
(c&(~(~(((b&b)>((o>j)|j))))>c))
| 0 | 1 | 1 | 0 |
not entailment
|
(c&~(o))
|
(~((o&((b&o)|c)))>((j>~(c))|~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((j&c)&((b&c)|~(b)))>~(o))>c))
|
((o&c)>(((c&o)|(o|j))>((o>(b>o))>j)))
| 1 | 1 | 1 | 0 |
entailment
|
(o&c)
|
((b&o)|c)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((j&c)&((b&c)|~(b)))>~(o))>c))
|
((b&o)|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(o&c)
|
((o&c)>(((c&o)|(o|j))>((o>(b>o))>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>o)&c)
|
(c&(~(o)>b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((c|j)>j)>o)|(b&j)))
|
((c>j)|~(o))
| 1 | 1 | 1 | 1 |
entailment
|
((c>o)&c)
|
((c>j)|~(o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((c|j)>j)>o)|(b&j)))
|
(c&(~(o)>b))
| 0 | 1 | 1 | 0 |
not entailment
|
(((b>(b>b))|(~(j)>((o|o)|(b>j))))>~(o))
|
(o>((((o|c)|~(c))>~(b))>c))
| 1 | 1 | 0 | 0 |
entailment
|
((c>(((b&o)|c)|~(j)))&(o&~((o>c))))
|
((((j>j)>c)>~(~((~(b)>~(j)))))|b)
| 1 | 1 | 1 | 0 |
entailment
|
(((b>(b>b))|(~(j)>((o|o)|(b>j))))>~(o))
|
((((j>j)>c)>~(~((~(b)>~(j)))))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((c>(((b&o)|c)|~(j)))&(o&~((o>c))))
|
(o>((((o|c)|~(c))>~(b))>c))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~((b>c)))>((b|(o&c))|c)))
|
~((c&(o>c)))
| 1 | 1 | 1 | 0 |
entailment
|
(c|j)
|
~(~(((c&c)|(~((j&b))>(j|j)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((b>c)))>((b|(o&c))|c)))
|
~(~(((c&c)|(~((j&b))>(j|j)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(c|j)
|
~((c&(o>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((~(~(o))&~(o))>((o|o)>o)))
|
(o&(o>o))
| 1 | 1 | 1 | 1 |
entailment
|
(((o>o)|o)>~((~(o)>(o|o))))
|
~((o&o))
| 1 | 1 | 1 | 1 |
entailment
|
(o&((~(~(o))&~(o))>((o|o)>o)))
|
~((o&o))
| 0 | 1 | 1 | 1 |
not entailment
|
(((o>o)|o)>~((~(o)>(o|o))))
|
(o&(o>o))
| 0 | 1 | 1 | 1 |
not entailment
|
(((o|o)|(o&o))&o)
|
(((o|(o>o))|o)>o)
| 1 | 1 | 1 | 0 |
entailment
|
~((o&((o&o)&(o>(o>o)))))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(((o|o)|(o&o))&o)
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
~((o&((o&o)&(o>(o>o)))))
|
(((o|(o>o))|o)>o)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((~(((o>o)>(o&o)))|~(o)))|(o&o))
|
((o&o)|((o>o)>o))
| 1 | 1 | 1 | 1 |
entailment
|
((o>o)>~((o&o)))
|
~((~(o)>~(~(o))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((~(((o>o)>(o&o)))|~(o)))|(o&o))
|
~((~(o)>~(~(o))))
| 0 | 1 | 1 | 1 |
not entailment
|
((o>o)>~((o&o)))
|
((o&o)|((o>o)>o))
| 0 | 1 | 1 | 1 |
not entailment
|
((o&(o|o))|((o|o)|o))
|
(o|o)
| 1 | 1 | 1 | 1 |
entailment
|
(~(o)&(o>~((o|o))))
|
~(((o|o)&o))
| 1 | 1 | 1 | 1 |
entailment
|
((o&(o|o))|((o|o)|o))
|
~(((o|o)&o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(o)&(o>~((o|o))))
|
(o|o)
| 0 | 1 | 1 | 0 |
not entailment
|
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