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 |
|---|---|---|---|---|---|---|
(x>((z&(z|z))&((z&(x>z))&x)))
|
(((x>x)|((~(((x|z)>(z&z)))|x)|x))&(x>z))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(z)))
|
~((z|~(~((~((z>z))&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
(x>((z&(z|z))&((z&(x>z))&x)))
|
~((z|~(~((~((z>z))&x)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(z)))
|
(((x>x)|((~(((x|z)>(z&z)))|x)|x))&(x>z))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&(c|c))|(c&c))
|
((~((c>c))>(c>~((c>c))))&((c|c)|c))
| 1 | 0 | 1 | 0 |
entailment
|
~((((~(c)|c)|c)>(((c|(c>c))>c)&(c|c))))
|
((c&c)>~((c&c)))
| 1 | 1 | 1 | 1 |
entailment
|
((c&(c|c))|(c&c))
|
((c&c)>~((c&c)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~(c)|c)|c)>(((c|(c>c))>c)&(c|c))))
|
((~((c>c))>(c>~((c>c))))&((c|c)|c))
| 0 | 1 | 1 | 1 |
not entailment
|
(((c&c)&c)|(c&((c>c)|c)))
|
(~(~(c))|((~(c)>c)&c))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(c)&(c>c))>(c&c)))
|
~(~((((c>c)>c)>(c&~(c)))))
| 1 | 0 | 1 | 1 |
entailment
|
(((c&c)&c)|(c&((c>c)|c)))
|
~(~((((c>c)>c)>(c&~(c)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((~(c)&(c>c))>(c&c)))
|
(~(~(c))|((~(c)>c)&c))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(c))
|
(c|c)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
~((c&(c>(c>c))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(c))
|
~((c&(c>(c>c))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(c)
|
(c|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(c|c)
|
~(~((((c|(c&c))>c)&(c|c))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((c>c)>(~(c)>(c|(c|(~(c)>c))))))
|
(~(~((~(c)|(c>c))))&~(c))
| 1 | 1 | 1 | 1 |
entailment
|
(c|c)
|
(~(~((~(c)|(c>c))))&~(c))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((c>c)>(~(c)>(c|(c|(~(c)>c))))))
|
~(~((((c|(c&c))>c)&(c|c))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((y&d)>r))
|
(y>(d|((s>r)&s)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&s)
|
((s&(s|s))|k)
| 1 | 0 | 0 | 0 |
entailment
|
~(((y&d)>r))
|
((s&(s|s))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&s)
|
(y>(d|((s>r)&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(s&e))
|
(((r|r)>e)|(k&y))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(s))&d)&~(~(k)))
|
((d&(r|(e&s)))|d)
| 1 | 1 | 0 | 0 |
entailment
|
(k&(s&e))
|
((d&(r|(e&s)))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(s))&d)&~(~(k)))
|
(((r|r)>e)|(k&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((y&((y|y)>r))))
|
(y>((d|e)|r))
| 1 | 1 | 0 | 0 |
entailment
|
~(((s>d)|d))
|
((~((k&~((d|s))))|(r>(e&r)))|~(y))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((y&((y|y)>r))))
|
((~((k&~((d|s))))|(r>(e&r)))|~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s>d)|d))
|
(y>((d|e)|r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((k|d))|~(~((~(e)>k))))&~(k)))
|
(k|((d|s)|s))
| 1 | 1 | 0 | 0 |
entailment
|
((r&((y>~(e))|(s>e)))&~(((r&y)|(k|e))))
|
(k>((~((k|~(y)))&k)|(~((~(y)&s))>e)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~((k|d))|~(~((~(e)>k))))&~(k)))
|
(k>((~((k|~(y)))&k)|(~((~(y)&s))>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&((y>~(e))|(s>e)))&~(((r&y)|(k|e))))
|
(k|((d|s)|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&d)
|
(~(s)>d)
| 1 | 0 | 0 | 0 |
entailment
|
((e>y)&(s|((((r>k)|e)&y)&r)))
|
((e|~((s&s)))>(s|r))
| 1 | 1 | 1 | 1 |
entailment
|
(e&d)
|
((e|~((s&s)))>(s|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>y)&(s|((((r>k)|e)&y)&r)))
|
(~(s)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((d>k))|((e>s)|((r&d)>y))))
|
((((y|e)&r)|(k>s))|((k|d)>r))
| 1 | 1 | 1 | 0 |
entailment
|
(~((r&k))&k)
|
(~(((r&s)|(r&r)))|((y|d)&(e&(d&s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((d>k))|((e>s)|((r&d)>y))))
|
(~(((r&s)|(r&r)))|((y|d)&(e&(d&s))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((r&k))&k)
|
((((y|e)&r)|(k>s))|((k|d)>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r>e)&d)&~(y))
|
(y>s)
| 1 | 1 | 0 | 0 |
entailment
|
(((~((d|e))>e)&r)&~(((d>(k>s))&r)))
|
((d>(s&(y>d)))>y)
| 1 | 1 | 0 | 0 |
entailment
|
(((r>e)&d)&~(y))
|
((d>(s&(y>d)))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((d|e))>e)&r)&~(((d>(k>s))&r)))
|
(y>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&s)
|
(k&((k|((s&s)|(e&y)))&((k|d)|(y&~(s)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((k>k)|(k>~(k)))&e))&(s&(s|~(y))))
|
(e>(~((e&(~(e)|(s&(s|r)))))&(y|d)))
| 1 | 1 | 0 | 0 |
entailment
|
(k&s)
|
(e>(~((e&(~(e)|(s&(s|r)))))&(y|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((k>k)|(k>~(k)))&e))&(s&(s|~(y))))
|
(k&((k|((s&s)|(e&y)))&((k|d)|(y&~(s)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((y&(d&((d&d)>y)))))
|
(s|(e|d))
| 1 | 1 | 0 | 0 |
entailment
|
~(r)
|
((~(s)|(k>e))|~(r))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((y&(d&((d&d)>y)))))
|
((~(s)|(k>e))|~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
(s|(e|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e>(y&r))&y)|k)&d)
|
(~(s)>(d|s))
| 1 | 1 | 0 | 0 |
entailment
|
((r>~(k))&~((r>y)))
|
(~((y|k))|~(((k>d)|(y|e))))
| 1 | 0 | 0 | 0 |
entailment
|
((((e>(y&r))&y)|k)&d)
|
(~((y|k))|~(((k>d)|(y|e))))
| 0 | 0 | 1 | 0 |
not entailment
|
((r>~(k))&~((r>y)))
|
(~(s)>(d|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&k)
|
~(~(~((~(((e>e)&(k&k)))&d))))
| 1 | 0 | 0 | 0 |
entailment
|
((((d&r)&s)>((s>y)&((d&k)&y)))&r)
|
((s|~((r>s)))|~(k))
| 1 | 1 | 1 | 0 |
entailment
|
(~(r)&k)
|
((s|~((r>s)))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d&r)&s)>((s>y)&((d&k)&y)))&r)
|
~(~(~((~(((e>e)&(k&k)))&d))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((e&k)>s))&(~(r)>k))
|
(~(s)&(~(s)|y))
| 1 | 1 | 0 | 0 |
entailment
|
((y&s)&(e|r))
|
(((e&k)>s)|(y|d))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((e&k)>s))&(~(r)>k))
|
(((e&k)>s)|(y|d))
| 0 | 1 | 0 | 0 |
not entailment
|
((y&s)&(e|r))
|
(~(s)&(~(s)|y))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&((o>o)|(o|(o>o))))
|
(o&o)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((o|(o&o))>(o|o))&~((o&o)))>(o|o)))
|
~((o|~(~(((((o&o)>(o>o))|(o|o))>o)))))
| 1 | 1 | 1 | 1 |
entailment
|
(o&((o>o)|(o|(o>o))))
|
~((o|~(~(((((o&o)>(o>o))|(o|o))>o)))))
| 0 | 0 | 1 | 1 |
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 | 0 | 1 | 0 |
entailment
|
(~((~((o|o))&(o>o)))>~(o))
|
(((o|o)&(o>o))>~(((o&o)&o)))
| 1 | 1 | 1 | 1 |
entailment
|
(o|(o|(o&o)))
|
(((o|o)&(o>o))>~(((o&o)&o)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((~((o|o))&(o>o)))>~(o))
|
((o&(o>(o|o)))&(o&(o&~(~((o&o))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(o&o)
|
(o&((o>(o>o))>(o|o)))
| 1 | 0 | 1 | 0 |
entailment
|
~((o|(o&o)))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(o&o)
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
~((o|(o&o)))
|
(o&((o>(o>o))>(o|o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((~(((o>(o|o))>o))|o)&~(~(o)))))
|
(~((o|o))>o)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((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)
| 0 | 1 | 1 | 1 |
not entailment
|
((~((~(~(o))>o))|(o>o))>o)
|
(o|o)
| 1 | 1 | 1 | 1 |
entailment
|
(~((o|(o>o)))|(~((o&o))&~(((o|o)|o))))
|
~(((~(~((~(o)&o)))&~(o))|o))
| 1 | 1 | 1 | 1 |
entailment
|
((~((~(~(o))>o))|(o>o))>o)
|
~(((~(~((~(o)&o)))&~(o))|o))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((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)
| 1 | 0 | 1 | 0 |
entailment
|
~((o|o))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
((o|o)|(o|o))
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
~((o|o))
|
(((((o|(o>o))>o)|o)>o)&o)
| 0 | 0 | 1 | 0 |
not entailment
|
((y>x)&((c|c)&(((~(c)|(y>x))&c)&y)))
|
(x&(x&x))
| 1 | 1 | 1 | 1 |
entailment
|
~(x)
|
(x>~(((x|(c&y))>(y>c))))
| 1 | 0 | 0 | 0 |
entailment
|
((y>x)&((c|c)&(((~(c)|(y>x))&c)&y)))
|
(x>~(((x|(c&y))>(y>c))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(x)
|
(x&(x&x))
| 0 | 0 | 1 | 0 |
not entailment
|
(x&y)
|
(((c>x)&~(x))>c)
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)|~((y>(y>x))))
|
(x>~((y&y)))
| 1 | 1 | 1 | 1 |
entailment
|
(x&y)
|
(x>~((y&y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(y)|~((y>(y>x))))
|
(((c>x)&~(x))>c)
| 0 | 1 | 0 | 0 |
not entailment
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.