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 |
---|---|---|---|---|---|---|
((n>e)>~(x))
|
((r|n)|(x>~((a|n))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&a)
|
(~(((a|a)|e))>~(n))
| 1 | 0 | 0 | 0 |
entailment
|
((n>e)>~(x))
|
(~(((a|a)|e))>~(n))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&a)
|
((r|n)|(x>~((a|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((e|(r&(a&n))))|(~(e)>x)))
|
~((x&(~(~((a&((a>d)|n))))&(r&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&x)&x)|e)
|
((x|(e&n))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((e|(r&(a&n))))|(~(e)>x)))
|
((x|(e&n))|e)
| 0 | 1 | 1 | 0 |
not entailment
|
(((a&x)&x)|e)
|
~((x&(~(~((a&((a>d)|n))))&(r&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(((e>a)&a)&a))
|
(r>(n>(a|e)))
| 1 | 1 | 0 | 0 |
entailment
|
~((e|~(d)))
|
(((((e>n)>x)&(e>d))&n)>((~(x)&a)|d))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(((e>a)&a)&a))
|
(((((e>n)>x)&(e>d))&n)>((~(x)&a)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e|~(d)))
|
(r>(n>(a|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(e&r))&((d>d)>(((a>n)>r)>(d|r))))
|
~((((x&n)>(~(~(x))>e))&~(r)))
| 1 | 1 | 1 | 0 |
entailment
|
((~(e)>((x|e)>x))&((n>r)>~(d)))
|
(((d>n)|x)>(d>n))
| 1 | 1 | 1 | 0 |
entailment
|
((x&(e&r))&((d>d)>(((a>n)>r)>(d|r))))
|
(((d>n)|x)>(d>n))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(e)>((x|e)>x))&((n>r)>~(d)))
|
~((((x&n)>(~(~(x))>e))&~(r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((x>x)>((~((a|x))&e)>x)))
|
((e|r)&e)
| 1 | 1 | 0 | 0 |
entailment
|
(a&(x&r))
|
(a|(a&~((n&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>x)>((~((a|x))&e)>x)))
|
(a|(a&~((n&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(x&r))
|
((e|r)&e)
| 0 | 1 | 0 | 0 |
not entailment
|
((((r&a)|n)>~(~(a)))&(d&n))
|
(~(((a|e)|x))>~(r))
| 1 | 1 | 0 | 0 |
entailment
|
~((r&d))
|
~((d&(r&((n&n)>a))))
| 1 | 0 | 0 | 0 |
entailment
|
((((r&a)|n)>~(~(a)))&(d&n))
|
~((d&(r&((n&n)>a))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r&d))
|
(~(((a|e)|x))>~(r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&a)>((d>a)>d)))
|
~(~((~((~(r)>r))>(a|e))))
| 1 | 0 | 0 | 0 |
entailment
|
((n&x)&x)
|
((x|e)&(((x|~((x>~((d&a)))))&(n|e))>x))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&a)>((d>a)>d)))
|
((x|e)&(((x|~((x>~((d&a)))))&(n|e))>x))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&x)&x)
|
~(~((~((~(r)>r))>(a|e))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|d)&(e&(~(((~(a)>x)&r))&d)))
|
~((e>(d>~((a>e)))))
| 1 | 1 | 1 | 1 |
entailment
|
(((a&r)&d)&(e|r))
|
((~(r)>~(a))>((a>r)&a))
| 1 | 0 | 1 | 0 |
entailment
|
((r|d)&(e&(~(((~(a)>x)&r))&d)))
|
((~(r)>~(a))>((a>r)&a))
| 0 | 1 | 1 | 0 |
not entailment
|
(((a&r)&d)&(e|r))
|
~((e>(d>~((a>e)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((a>(n>x))&(r&e))
|
((~(d)|((~(x)&(a&(d|x)))>e))|(x&(d|a)))
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
~((x&r))
| 1 | 0 | 0 | 0 |
entailment
|
((a>(n>x))&(r&e))
|
~((x&r))
| 0 | 1 | 1 | 0 |
not entailment
|
~(r)
|
((~(d)|((~(x)&(a&(d|x)))>e))|(x&(d|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(e))
|
~((e>~(((a|e)|(r|x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((x&(d|d))&(n|(r&e)))))
|
((((r|x)&x)|x)|(a&((x>e)>(a>e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(e))
|
((((r|x)&x)|x)|(a&((x>e)>(a>e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((x&(d|d))&(n|(r&e)))))
|
~((e>~(((a|e)|(r|x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>a))
|
((((((e>a)&(a>x))>(r|n))>d)&a)>~(x))
| 1 | 0 | 0 | 0 |
entailment
|
((e&(d|d))&(x>(e&(r&d))))
|
(x|(n>(d|(d&d))))
| 1 | 1 | 0 | 0 |
entailment
|
~((e>a))
|
(x|(n>(d|(d&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&(d|d))&(x>(e&(r&d))))
|
((((((e>a)&(a>x))>(r|n))>d)&a)>~(x))
| 0 | 0 | 0 | 0 |
not entailment
|
((((r|(x>r))>(a>e))|d)>((x|~(n))>(a&n)))
|
(((~(~(r))&~(n))>(d>(r>e)))|a)
| 1 | 1 | 1 | 0 |
entailment
|
((x|d)&(d&(((n&a)|x)&r)))
|
~(~((~(~((n&a)))|x)))
| 1 | 1 | 1 | 1 |
entailment
|
((((r|(x>r))>(a>e))|d)>((x|~(n))>(a&n)))
|
~(~((~(~((n&a)))|x)))
| 0 | 1 | 1 | 0 |
not entailment
|
((x|d)&(d&(((n&a)|x)&r)))
|
(((~(~(r))&~(n))>(d>(r>e)))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(n&e))
|
((r|d)|~((d>x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((a&a)&(e&a)))>x))
|
(x>(x>d))
| 1 | 1 | 0 | 0 |
entailment
|
(r&(n&e))
|
(x>(x>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((a&a)&(e&a)))>x))
|
((r|d)|~((d>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d|e)
|
(((~(n)&((r&d)>(a&(d&(d|n)))))|e)|d)
| 1 | 0 | 0 | 0 |
entailment
|
(a&~((e&x)))
|
(n|a)
| 1 | 1 | 0 | 0 |
entailment
|
(d|e)
|
(n|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&~((e&x)))
|
(((~(n)&((r&d)>(a&(d&(d|n)))))|e)|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((a|a)&(r>~(x)))
|
(((d|((e|e)|r))>(n|r))>(a|(d&x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(e)>x)>((n|n)|(e|e))))
|
(d|(~(n)&(((d&a)>~(d))|((x>e)|r))))
| 1 | 0 | 0 | 0 |
entailment
|
((a|a)&(r>~(x)))
|
(d|(~(n)&(((d&a)>~(d))|((x>e)|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(e)>x)>((n|n)|(e|e))))
|
(((d|((e|e)|r))>(n|r))>(a|(d&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((r&r)|d)&x)&n)
|
((x&(n&(~(d)|x)))|n)
| 1 | 0 | 1 | 0 |
entailment
|
((~(a)|n)&~(a))
|
(d|~((((r|d)|x)&(n&a))))
| 1 | 0 | 0 | 0 |
entailment
|
((((r&r)|d)&x)&n)
|
(d|~((((r|d)|x)&(n&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(a)|n)&~(a))
|
((x&(n&(~(d)|x)))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(a&d)
|
(~(~(~((((r|a)>n)&~(n)))))>((x|a)|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((((n&a)|(d>n))|(r>x)))
|
(~((((a&~(x))|~((e&r)))>a))|((n>n)>r))
| 1 | 0 | 0 | 0 |
entailment
|
(a&d)
|
(~((((a&~(x))|~((e&r)))>a))|((n>n)>r))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((n&a)|(d>n))|(r>x)))
|
(~(~(~((((r|a)>n)&~(n)))))>((x|a)|x))
| 0 | 0 | 1 | 0 |
not entailment
|
(e&e)
|
(n>((r|d)>e))
| 1 | 0 | 0 | 0 |
entailment
|
((x|~(~(~((~(((e>x)&e))>(r|e))))))&r)
|
(e>(~(n)>(a|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(e&e)
|
(e>(~(n)>(a|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|~(~(~((~(((e>x)&e))>(r|e))))))&r)
|
(n>((r|d)>e))
| 0 | 1 | 0 | 0 |
not entailment
|
((s&o)&((s&s)|o))
|
(r|s)
| 1 | 1 | 0 | 0 |
entailment
|
(((s&(z>r))>(s>s))>z)
|
~((~((((o&r)|o)>z))&(r&o)))
| 1 | 0 | 0 | 0 |
entailment
|
((s&o)&((s&s)|o))
|
~((~((((o&r)|o)>z))&(r&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s&(z>r))>(s>s))>z)
|
(r|s)
| 0 | 1 | 1 | 1 |
not entailment
|
(((z&z)&r)&(s>r))
|
(((((o>o)>s)>(o|z))|(o>r))&z)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((s|r))|r))
|
((((r>~(r))&(s&r))>s)>(s&((z&z)>(z|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(((z&z)&r)&(s>r))
|
((((r>~(r))&(s&r))>s)>(s&((z&z)>(z|r))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((s|r))|r))
|
(((((o>o)>s)>(o|z))|(o>r))&z)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((z>((z>o)&z))&(z&o))))&((s|z)|s))
|
(~((z&(z>(s>(s>r)))))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~(((o|(s&r))|(s&((~(r)|~(s))&(o&z)))))
|
((~(r)|(o>s))&((((o>o)>o)>(r&o))|(o>o)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(((z>((z>o)&z))&(z&o))))&((s|z)|s))
|
((~(r)|(o>s))&((((o>o)>o)>(r&o))|(o>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o|(s&r))|(s&((~(r)|~(s))&(o&z)))))
|
(~((z&(z>(s>(s>r)))))>o)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&((((z|z)&r)|s)&s))
|
((z&~(s))|s)
| 1 | 1 | 1 | 0 |
entailment
|
~(((z&(z|z))|~((z>o))))
|
~(((~(((z&z)&r))&~(z))>(r&~(r))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&((((z|z)&r)|s)&s))
|
~(((~(((z&z)&r))&~(z))>(r&~(r))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((z&(z|z))|~((z>o))))
|
((z&~(s))|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(r&(z|z)))
|
(((r&o)>o)>z)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((s>r)))>(o|z)))
|
((o>o)>(z>(r>o)))
| 1 | 1 | 1 | 0 |
entailment
|
(z&(r&(z|z)))
|
((o>o)>(z>(r>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((s>r)))>(o|z)))
|
(((r&o)>o)>z)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&(r|o))
|
(((s|z)|(o&((o>r)|(z&r))))>(((o>z)|z)>z))
| 1 | 0 | 0 | 0 |
entailment
|
((r|o)&(r&r))
|
((((o&s)|(z>s))>r)|~(z))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(r|o))
|
((((o&s)|(z>s))>r)|~(z))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|o)&(r&r))
|
(((s|z)|(o&((o>r)|(z&r))))>(((o>z)|z)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s>(s>r))|(~(o)&~((s&(o|r)))))&z)
|
(((z>o)&(s>s))>(o&(o|(z>~((s|s))))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((s&o)|z))
|
(z>r)
| 1 | 1 | 0 | 0 |
entailment
|
(((s>(s>r))|(~(o)&~((s&(o|r)))))&z)
|
(z>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((s&o)|z))
|
(((z>o)&(s>s))>(o&(o|(z>~((s|s))))))
| 0 | 0 | 1 | 0 |
not entailment
|
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