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&n)
|
((~(~(u))|a)|n)
| 1 | 0 | 0 | 0 |
entailment
|
~(a)
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
(n&n)
|
~(a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
((~(~(u))|a)|n)
| 0 | 0 | 0 | 0 |
not entailment
|
((n|u)|a)
|
(~((n|a))>(u|a))
| 1 | 0 | 1 | 1 |
entailment
|
(~(u)&((((~((a>a))&a)|a)&n)>~(n)))
|
(u>~(~(~(a))))
| 1 | 1 | 1 | 1 |
entailment
|
((n|u)|a)
|
(u>~(~(~(a))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(u)&((((~((a>a))&a)|a)&n)>~(n)))
|
(~((n|a))>(u|a))
| 0 | 1 | 1 | 0 |
not entailment
|
((n&((u|(u>u))&(((u&a)>a)|u)))&a)
|
(((a>(n|a))|(u>n))&n)
| 1 | 1 | 1 | 1 |
entailment
|
(u&((~(n)>(((a>(n>(a>a)))>u)&~(u)))|a))
|
((u|~(n))|u)
| 1 | 1 | 1 | 0 |
entailment
|
((n&((u|(u>u))&(((u&a)>a)|u)))&a)
|
((u|~(n))|u)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&((~(n)>(((a>(n>(a>a)))>u)&~(u)))|a))
|
(((a>(n|a))|(u>n))&n)
| 0 | 1 | 1 | 1 |
not entailment
|
((((~(n)>a)&a)|~(~(a)))&((n&u)&n))
|
~(((n>~(a))&a))
| 1 | 1 | 1 | 0 |
entailment
|
(~((n&a))&a)
|
(((((u|u)>(n&u))&~(n))&a)|~(n))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(n)>a)&a)|~(~(a)))&((n&u)&n))
|
(((((u|u)>(n&u))&~(n))&a)|~(n))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((n&a))&a)
|
~(((n>~(a))&a))
| 0 | 0 | 1 | 0 |
not entailment
|
(u&(a|n))
|
~(~(((n&n)>u)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((n&n)))
|
(u>(a>n))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(a|n))
|
(u>(a>n))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((n&n)))
|
~(~(((n&n)>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&a)
|
~(~(((u>(u&n))>(a>u))))
| 1 | 0 | 0 | 0 |
entailment
|
(u>(~(n)&(a&(~(~(n))&n))))
|
((((u&u)&u)&((u|u)>~(n)))>n)
| 1 | 1 | 1 | 0 |
entailment
|
(u&a)
|
((((u&u)&u)&((u|u)>~(n)))>n)
| 0 | 0 | 0 | 0 |
not entailment
|
(u>(~(n)&(a&(~(~(n))&n))))
|
~(~(((u>(u&n))>(a>u))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((n&a)&(n&(~((a>u))|(n>u))))))
|
(n|u)
| 1 | 1 | 1 | 1 |
entailment
|
~(a)
|
(~(~((u&u)))|((u|(a>u))|(~(n)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((n&a)&(n&(~((a>u))|(n>u))))))
|
(~(~((u&u)))|((u|(a>u))|(~(n)&n)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(a)
|
(n|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((n|n))>(a&a))
|
((n&(~(((a&(u|~(u)))&n))>u))|(a|(a|n)))
| 1 | 0 | 0 | 0 |
entailment
|
((((u|u)|(n|n))>a)&~(((a>a)&(a&(u>u)))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
(~((n|n))>(a&a))
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
((((u|u)|(n|n))>a)&~(((a>a)&(a&(u>u)))))
|
((n&(~(((a&(u|~(u)))&n))>u))|(a|(a|n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(r|(a&n)))
|
((((i>~((i>n)))|(r>v))>j)>x)
| 1 | 0 | 0 | 0 |
entailment
|
((s>~((n|s)))&~((u>(r&a))))
|
((a&n)>~((u&r)))
| 1 | 1 | 1 | 0 |
entailment
|
(x&(r|(a&n)))
|
((a&n)>~((u&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>~((n|s)))&~((u>(r&a))))
|
((((i>~((i>n)))|(r>v))>j)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&(u|x))
|
((v>a)|x)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((~(i)|u)&u)&j)>(~(a)>a)))
|
(~(j)>(((i>a)|r)>o))
| 1 | 1 | 0 | 0 |
entailment
|
(x&(u|x))
|
(~(j)>(((i>a)|r)>o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((~(i)|u)&u)&j)>(~(a)>a)))
|
((v>a)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&n)
|
(v>(((x&(i>(i|u)))|(~(x)&u))|(n&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((o>(u|j)))&(i>(i|a)))
|
(~(o)>u)
| 1 | 1 | 1 | 0 |
entailment
|
(r&n)
|
(~(o)>u)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((o>(u|j)))&(i>(i|a)))
|
(v>(((x&(i>(i|u)))|(~(x)&u))|(n&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&u)
|
(j|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((i&a)>s))
|
(~(i)>(v|~((((a|x)|x)&(s|i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&u)
|
(~(i)>(v|~((((a|x)|x)&(s|i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i&a)>s))
|
(j|n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((o|u)))|o))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(s)>~((v&a))))&((~((r>r))&x)|n))
|
((v&(a|(a&a)))>~(~(n)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~((o|u)))|o))
|
((v&(a|(a&a)))>~(~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(s)>~((v&a))))&((~((r>r))&x)|n))
|
~(o)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((v&(v>(o|(s|s))))|(s>~((r|x)))))
|
(o>s)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((o&n)>a))|((~(~((n&o)))&x)&u))
|
((o&a)>((u&((j&s)&j))|(a>(r>x))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((v&(v>(o|(s|s))))|(s>~((r|x)))))
|
((o&a)>((u&((j&s)&j))|(a>(r>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((o&n)>a))|((~(~((n&o)))&x)&u))
|
(o>s)
| 0 | 1 | 0 | 0 |
not entailment
|
((u&o)&~((((r&r)&s)|~(n))))
|
~(~(((((r>x)&u)&(a|o))>(i>((x|v)|o)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>r))
|
(s|(i&o))
| 1 | 1 | 0 | 0 |
entailment
|
((u&o)&~((((r&r)&s)|~(n))))
|
(s|(i&o))
| 0 | 1 | 0 | 0 |
not entailment
|
~((s>r))
|
~(~(((((r>x)&u)&(a|o))>(i>((x|v)|o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&s)
|
((r>(n|a))|~((a|(a>s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i|n)|~((~(j)>(s|(j&(s|u)))))))
|
(i>(~((x&~(~(((i|r)&i)))))&~((v|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&s)
|
(i>(~((x&~(~(((i|r)&i)))))&~((v|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i|n)|~((~(j)>(s|(j&(s|u)))))))
|
((r>(n|a))|~((a|(a>s))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((i&r))>(~(x)|n))&(((i>i)>n)|(i>r)))
|
((n|(i|i))|((u|n)>(~((~(x)>o))|o)))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|i))
|
((n&(x>x))|(i>~(~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((i&r))>(~(x)|n))&(((i>i)>n)|(i>r)))
|
((n&(x>x))|(i>~(~(s))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|i))
|
((n|(i|i))|((u|n)>(~((~(x)>o))|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((r>i)|u)&s)&((r>~((x&~(r))))&x))
|
(x|(o|s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((((r>u)>j)&a))&~(o))>(a|n)))
|
~(~(~(o)))
| 1 | 1 | 1 | 1 |
entailment
|
((((r>i)|u)&s)&((r>~((x&~(r))))&x))
|
~(~(~(o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((((r>u)>j)&a))&~(o))>(a|n)))
|
(x|(o|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(v&o))
|
(~((((o|s)|(u|a))|(n&(r&(v>v)))))|j)
| 1 | 0 | 0 | 0 |
entailment
|
((~((o|n))>(i&n))>i)
|
(((n&a)>(r>(x>i)))|~(a))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(v&o))
|
(((n&a)>(r>(x>i)))|~(a))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((o|n))>(i&n))>i)
|
(~((((o|s)|(u|a))|(n&(r&(v>v)))))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((i|~(u)))&r)
|
~(((i&o)&(((v&u)&j)>u)))
| 1 | 0 | 0 | 0 |
entailment
|
(v&(u|(j>s)))
|
(~(((i|x)|v))>(i&i))
| 1 | 0 | 0 | 0 |
entailment
|
(~((i|~(u)))&r)
|
(~(((i|x)|v))>(i&i))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&(u|(j>s)))
|
~(((i&o)&(((v&u)&j)>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i|o)>((u&(u>n))>r)))
|
(r>x)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((~(j)>a)>((s|u)>r)))|~(r))|a))
|
(a>r)
| 1 | 1 | 1 | 1 |
entailment
|
~(((i|o)>((u&(u>n))>r)))
|
(a>r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(((~(j)>a)>((s|u)>r)))|~(r))|a))
|
(r>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(i|x))
|
(((~(v)>((x>n)>n))|r)|~(((x>i)>(a>u))))
| 1 | 0 | 0 | 0 |
entailment
|
((u&a)|u)
|
((s|u)|(~(x)|a))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(i|x))
|
((s|u)|(~(x)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&a)|u)
|
(((~(v)>((x>n)>n))|r)|~(((x>i)>(a>u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((u>v)>~((o&x))))&((s|(o&u))&r))
|
((~(u)>i)>(x|~((s&j))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((((s&a)>x)>(a|n))>(a&j))|a))
|
((~(u)>n)|(r>v))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((u>v)>~((o&x))))&((s|(o&u))&r))
|
((~(u)>n)|(r>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((s&a)>x)>(a|n))>(a&j))|a))
|
((~(u)>i)>(x|~((s&j))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((a>n)|v)>(o>v))|s))
|
~(((a&(v&u))|(((v&~(x))&(n>x))&(v|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&i)
|
(i|r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((a>n)|v)>(o>v))|s))
|
(i|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&i)
|
~(((a&(v&u))|(((v&~(x))&(n>x))&(v|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(i)
|
((s|x)|(i>u))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s|u)|(x&v)))
|
((o>o)>(s|(u>(x|o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(i)
|
((o>o)>(s|(u>(x|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|u)|(x&v)))
|
((s|x)|(i>u))
| 0 | 1 | 0 | 0 |
not entailment
|
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