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 |
---|---|---|---|---|---|---|
(((d&d)|l)&((((h|i)>(i>(y|i)))|i)&n))
|
(((~((b|u))&~(b))|((l|b)|d))>(u|h))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&~(~(~(y))))&(m&u))
|
(~((u|(d&n)))|(i>n))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)>((u>y)&~((t>t))))
|
~(~(~(~(y))))
| 1 | 1 | 1 | 1 |
entailment
|
(((y>t)|~((((t>(y&u))>t)&u)))>(u&a))
|
((u|u)>(y>a))
| 1 | 1 | 1 | 1 |
entailment
|
(~(y)>((u>y)&~((t>t))))
|
((u|u)>(y>a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y>t)|~((((t>(y&u))>t)&u)))>(u&a))
|
~(~(~(~(y))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((t|u))&((y>a)>(u>y)))
|
((t>u)|(a|u))
| 1 | 1 | 1 | 0 |
entailment
|
~((y>~((~(y)|(a>y)))))
|
(y&((((t>a)>(t&a))&a)|((y>y)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((t|u))&((y>a)>(u>y)))
|
(y&((((t>a)>(t&a))&a)|((y>y)>y)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((y>~((~(y)|(a>y)))))
|
((t>u)|(a|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&t)>(((y>(a|y))&~(~(t)))>y))&a)
|
~(((((a|t)>~(y))&t)&t))
| 1 | 1 | 1 | 0 |
entailment
|
((u|(((y|a)>t)>(u|a)))&t)
|
~(((t|(~(a)&y))>~((t|t))))
| 1 | 0 | 1 | 0 |
entailment
|
(((a&t)>(((y>(a|y))&~(~(t)))>y))&a)
|
~(((t|(~(a)&y))>~((t|t))))
| 0 | 1 | 1 | 0 |
not entailment
|
((u|(((y|a)>t)>(u|a)))&t)
|
~(((((a|t)>~(y))&t)&t))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((a>(y&u))>a))>(a&((t>t)>t)))
|
~(~((~(((t|t)>(u|a)))>u)))
| 1 | 1 | 1 | 0 |
entailment
|
~((t>(y&a)))
|
~(~((~(~(u))>(y>t))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((a>(y&u))>a))>(a&((t>t)>t)))
|
~(~((~(~(u))>(y>t))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((t>(y&a)))
|
~(~((~(((t|t)>(u|a)))>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&((y|(t&(t&y)))&t))&a)
|
((y>y)&y)
| 1 | 1 | 1 | 0 |
entailment
|
~(t)
|
(t>~(((a>t)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
((u&((y|(t&(t&y)))&t))&a)
|
(t>~(((a>t)>y)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(t)
|
((y>y)&y)
| 0 | 0 | 0 | 0 |
not entailment
|
((t&(y|y))&(((u|~(y))&a)>y))
|
(((((a|y)&u)|t)&t)|t)
| 1 | 1 | 1 | 0 |
entailment
|
((u|y)>u)
|
((a|(((a&u)|(a>a))&(y>a)))|u)
| 1 | 0 | 0 | 0 |
entailment
|
((t&(y|y))&(((u|~(y))&a)>y))
|
((a|(((a&u)|(a>a))&(y>a)))|u)
| 0 | 1 | 1 | 0 |
not entailment
|
((u|y)>u)
|
(((((a|y)&u)|t)&t)|t)
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|(t|~(((((a|t)>u)>(y>y))&(u|t))))))
|
((a>u)&((a&u)|~(t)))
| 1 | 1 | 1 | 1 |
entailment
|
(((a|y)|~(~((u&(a|u)))))&y)
|
(((u>a)|u)&(y&(t>t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((a|(t|~(((((a|t)>u)>(y>y))&(u|t))))))
|
(((u>a)|u)&(y&(t>t)))
| 0 | 1 | 1 | 1 |
not entailment
|
(((a|y)|~(~((u&(a|u)))))&y)
|
((a>u)&((a&u)|~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(y>(a&t))
|
((y>t)|u)
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&((~((u|y))>(y>a))&a))
|
(a|u)
| 1 | 1 | 1 | 1 |
entailment
|
(y>(a&t))
|
(a|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&((~((u|y))>(y>a))&a))
|
((y>t)|u)
| 0 | 1 | 1 | 0 |
not entailment
|
(t&(a|u))
|
~(~(((~((u|u))|t)>(~((u|a))>y))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((t|((u&u)|y)))))
|
((~(y)&t)>(t&(a|(((a&y)&u)&(~(a)|y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(a|u))
|
((~(y)&t)>(t&(a|(((a&y)&u)&(~(a)|y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((t|((u&u)|y)))))
|
~(~(((~((u|u))|t)>(~((u|a))>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u|~(a))&u))
|
(~((u&(y&~(a))))|~((y>u)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(u&(u|y)))
|
(((t&~(((y|u)&~(y))))&(a>y))>(u|(t&a)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u|~(a))&u))
|
(((t&~(((y|u)&~(y))))&(a>y))>(u|(t&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(u&(u|y)))
|
(~((u&(y&~(a))))|~((y>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y>((u|a)&(a&t))))
|
((y&(a|a))|(y|(u&(y>(a&y)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((u|a))
|
(((a&(y|(u|a)))&u)>t)
| 1 | 0 | 0 | 0 |
entailment
|
~((y>((u|a)&(a&t))))
|
(((a&(y|(u|a)))&u)>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~((u|a))
|
((y&(a|a))|(y|(u&(y>(a&y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~(~((u>a))))
|
~(~(((u>a)|~(~(y)))))
| 1 | 0 | 1 | 1 |
entailment
|
((t&u)&~(a))
|
~(((a&t)&(~(~(u))|(u|~(y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&~(~((u>a))))
|
~(((a&t)&(~(~(u))|(u|~(y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&u)&~(a))
|
~(~(((u>a)|~(~(y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((a>t)>((a>u)|t))>(((y|y)|u)&u)))&a)
|
((y|a)|(t|t))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((t|(y|(t&(t|t))))|u))&(a>(y&t)))
|
(a>(a>~((a&~((~(t)&y))))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((((a>t)>((a>u)|t))>(((y|y)|u)&u)))&a)
|
(a>(a>~((a&~((~(t)&y))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((t|(y|(t&(t|t))))|u))&(a>(y&t)))
|
((y|a)|(t|t))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(t)&(u&y))
|
(u|t)
| 1 | 1 | 1 | 0 |
entailment
|
((~(((t&y)>y))|a)&y)
|
((y|(u>u))&a)
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&(u&y))
|
((y|(u>u))&a)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((t&y)>y))|a)&y)
|
(u|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>t)>~(~((t>u)))))
|
(~((u&u))|((t>a)&((y>t)&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~(a))|y)&y)&~((u&t)))
|
(((u>(a|(u&y)))|(t|a))&~(~(y)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((a>t)>~(~((t>u)))))
|
(((u>(a|(u&y)))|(t|a))&~(~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~(a))|y)&y)&~((u&t)))
|
(~((u&u))|((t>a)&((y>t)&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((y&(y&a))&(y&(t&y)))&((a>y)|a))
|
((a>a)&(((t|(y&u))|y)|y))
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)&~(y))
|
(((~(u)|(y|t))&(u>(~(a)&~(u))))>~(y))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&(y&a))&(y&(t&y)))&((a>y)|a))
|
(((~(u)|(y|t))&(u>(~(a)&~(u))))>~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&~(y))
|
((a>a)&(((t|(y&u))|y)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
((v>x)&j)
|
(((p&~((v|h)))|j)|(l&~(v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((p>((l|v)|v)))
|
(((l>(h&j))&((h|l)&l))>x)
| 1 | 0 | 0 | 0 |
entailment
|
((v>x)&j)
|
(((l>(h&j))&((h|l)&l))>x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((p>((l|v)|v)))
|
(((p&~((v|h)))|j)|(l&~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p|l)&j)&((h|((p>j)&x))>(h>j)))
|
((((v&v)>v)>((v>~(x))|j))>(h|(l|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((j&j))&((h|j)>x))
|
(~((p&l))>~(j))
| 1 | 1 | 0 | 0 |
entailment
|
(((p|l)&j)&((h|((p>j)&x))>(h>j)))
|
(~((p&l))>~(j))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((j&j))&((h|j)>x))
|
((((v&v)>v)>((v>~(x))|j))>(h|(l|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>h)|(p|(l|(p&x)))))
|
((l>x)|~(h))
| 1 | 1 | 1 | 1 |
entailment
|
(p&l)
|
(~((j|l))>(~((h|~(v)))&(j>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>h)|(p|(l|(p&x)))))
|
(~((j|l))>(~((h|~(v)))&(j>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&l)
|
((l>x)|~(h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v|v)|(x>l)))
|
~((~(x)|((l&(x&v))&h)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>(v|v))>j))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((v|v)|(x>l)))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x>(v|v))>j))
|
~((~(x)|((l&(x&v))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p>v))
|
~(((v&x)&v))
| 1 | 0 | 0 | 0 |
entailment
|
(j&h)
|
(h|(h&x))
| 1 | 0 | 0 | 0 |
entailment
|
~((p>v))
|
(h|(h&x))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&h)
|
~(((v&x)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((l&l)))&p)
|
(v>l)
| 1 | 1 | 0 | 0 |
entailment
|
~(j)
|
(v>~((j&(h|l))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((l&l)))&p)
|
(v>~((j&(h|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(j)
|
(v>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
~(((h>h)&(h&h)))
|
(~(p)|(l|(~((j&h))|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
(~(p)|(l|(~((j&h))|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h>h)&(h&h)))
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
(v>(p>j))
| 1 | 0 | 0 | 0 |
entailment
|
((p>(x&(x>p)))>(~((j|p))&~((x|x))))
|
(l>((x|x)>h))
| 1 | 1 | 0 | 0 |
entailment
|
~(v)
|
(l>((x|x)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>(x&(x>p)))>(~((j|p))&~((x|x))))
|
(v>(p>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(x)&(j|x))
|
(x>~(~(h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(l)>v))
|
(~(v)|(((h&v)>(v|v))&(((x|j)>p)&l)))
| 1 | 0 | 0 | 0 |
entailment
|
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