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&d)
|
(((h>h)|((h>u)|(((h&b)|(a>u))|u)))&(b>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~((x|b)))>b)>h)&u)
|
((((x>~((~((u&(h&d)))>x)))>h)>x)|d)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(u))
|
(h>((u&d)|u))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|(x>a)))
|
~((((x&d)&b)&h))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(u))
|
~((((x&d)&b)&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d|(x>a)))
|
(h>((u&d)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(d)>(((d&h)|~(b))&~((h>h))))&b)
|
(((u|x)>u)|(d>b))
| 1 | 1 | 0 | 0 |
entailment
|
(((b&x)>((h>a)&((a>(a>h))>x)))&a)
|
(~((a|(d|h)))|a)
| 1 | 1 | 0 | 0 |
entailment
|
((~(d)>(((d&h)|~(b))&~((h>h))))&b)
|
(~((a|(d|h)))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&x)>((h>a)&((a>(a>h))>x)))&a)
|
(((u|x)>u)|(d>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(x&(x>u)))
|
(a>x)
| 1 | 1 | 1 | 0 |
entailment
|
(a>h)
|
((h|h)|~((~(h)&a)))
| 1 | 0 | 1 | 1 |
entailment
|
(a&(x&(x>u)))
|
((h|h)|~((~(h)&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a>h)
|
(a>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|(((a&h)&u)&h))&((x&h)|((a&a)|h))))
|
((~((u>a))|b)>(a>u))
| 1 | 1 | 0 | 0 |
entailment
|
~(((h|h)>(d|~((d>~(u))))))
|
(((((x|x)|(((d&b)|d)&h))|a)|(d>x))|(x&d))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|(((a&h)&u)&h))&((x&h)|((a&a)|h))))
|
(((((x|x)|(((d&b)|d)&h))|a)|(d>x))|(x&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|h)>(d|~((d>~(u))))))
|
((~((u>a))|b)>(a>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((u&u)>a)|d))&(~(d)>x))
|
~(~((((x>b)&(b>a))>~(~(((x&b)|h))))))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(u>(h&~((h|b)))))
|
((~(x)>(x>x))&((b>h)|~((h|u))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((u&u)>a)|d))&(~(d)>x))
|
((~(x)>(x>x))&((b>h)|~((h|u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(u>(h&~((h|b)))))
|
~(~((((x>b)&(b>a))>~(~(((x&b)|h))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((d|b)|(u>u))>x)>(u>(b&b))))
|
((((d&b)>x)&u)|~(((b|(b>b))&(u&a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(h)
|
(a|~(h))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((d|b)|(u>u))>x)>(u>(b&b))))
|
(a|~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
((((d&b)>x)&u)|~(((b|(b>b))&(u&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(h)>(~((u>(x>(b|h))))&u))&x)
|
(((b|h)|(d&(b>(u&h))))|u)
| 1 | 1 | 0 | 0 |
entailment
|
~((u|((u|h)|h)))
|
(d>(~((~(~(d))|u))|~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(h)>(~((u>(x>(b|h))))&u))&x)
|
(d>(~((~(~(d))|u))|~(h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|((u|h)|h)))
|
(((b|h)|(d&(b>(u&h))))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&d)
|
((u|a)>d)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((a|h)&(u&b))))
|
(a>b)
| 1 | 1 | 1 | 0 |
entailment
|
(x&d)
|
(a>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((a|h)&(u&b))))
|
((u|a)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(x)
|
(a|~((((h|u)>(~((x>d))&(~(d)|u)))&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(h)&~(b))>h)>u)
|
~(~(((~((x&(h|h)))&(b>d))|u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
~(~(((~((x&(h|h)))&(b>d))|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(h)&~(b))>h)>u)
|
(a|~((((h|u)>(~((x>d))&(~(d)|u)))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d>b)&(x>~(h)))&((b>a)&b))
|
(((a|(~(b)&u))|(x&x))&(u|a))
| 1 | 1 | 0 | 0 |
entailment
|
~(x)
|
((h>h)&(u>(~((x&((d>b)|b)))|(b&h))))
| 1 | 0 | 0 | 0 |
entailment
|
(((d>b)&(x>~(h)))&((b>a)&b))
|
((h>h)&(u>(~((x&((d>b)|b)))|(b&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
(((a|(~(b)&u))|(x&x))&(u|a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((x&h))>b)|~((h>a))))
|
(h>a)
| 1 | 1 | 1 | 1 |
entailment
|
(x&~((u>b)))
|
(x|(h&h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((x&h))>b)|~((h>a))))
|
(x|(h&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&~((u>b)))
|
(h>a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(d)))
|
(~(d)|((~((b>~(d)))>((b&u)|a))|u))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((b>(~(h)>~(a)))&((u&h)|(x&h)))))
|
((h|(a&h))|~(((h&d)>((u|h)|x))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(d)))
|
((h|(a&h))|~(((h&d)>((u|h)|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((b>(~(h)>~(a)))&((u&h)|(x&h)))))
|
(~(d)|((~((b>~(d)))>((b&u)|a))|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(h>h))&(d&(b&(b&u))))
|
(b|((a|x)>~(((u>x)&~((d|b))))))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(h&a))
|
(h|a)
| 1 | 1 | 1 | 1 |
entailment
|
((x&(h>h))&(d&(b&(b&u))))
|
(h|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(h&a))
|
(b|((a|x)>~(((u>x)&~((d|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(b|~(t)))
|
(~((e|(e|i)))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(~((i>e))&(e>(e|(b>b))))
|
(e|i)
| 1 | 1 | 1 | 1 |
entailment
|
(t&(b|~(t)))
|
(e|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i>e))&(e>(e|(b>b))))
|
(~((e|(e|i)))|b)
| 0 | 1 | 1 | 0 |
not entailment
|
(((e|i)|e)&~(~(i)))
|
(((e&e)|((i|t)|b))|b)
| 1 | 1 | 0 | 0 |
entailment
|
(~((i&i))&((i>t)|t))
|
~((i&~(t)))
| 1 | 1 | 1 | 1 |
entailment
|
(((e|i)|e)&~(~(i)))
|
~((i&~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i&i))&((i>t)|t))
|
(((e&e)|((i|t)|b))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&i)
|
(i|(~((~(i)|t))&e))
| 1 | 0 | 0 | 0 |
entailment
|
((i>~(i))&e)
|
(~(((~((t&e))>(i>(b|(t>b))))&e))>e)
| 1 | 0 | 0 | 0 |
entailment
|
(t&i)
|
(~(((~((t&e))>(i>(b|(t>b))))&e))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
((i>~(i))&e)
|
(i|(~((~(i)|t))&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&((t|(i&t))|t))
|
((t>t)>(~((b&(i>b)))>(t|e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~(~(~((e>i)))))>(b&(i>t)))|i))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(b&((t|(i&t))|t))
|
~(e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(~(~(~((e>i)))))>(b&(i>t)))|i))
|
((t>t)>(~((b&(i>b)))>(t|e)))
| 0 | 1 | 1 | 0 |
not entailment
|
(t>b)
|
((i>e)|(~(~((i>b)))|((t|e)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
~((t>(b|~(((((b&b)|t)|(t|t))&(t&i))))))
|
~(~((~(~(((e|t)|b)))|i)))
| 1 | 1 | 0 | 0 |
entailment
|
(t>b)
|
~(~((~(~(((e|t)|b)))|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t>(b|~(((((b&b)|t)|(t|t))&(t&i))))))
|
((i>e)|(~(~((i>b)))|((t|e)>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b&(e&b))>t))
|
((e|e)|((e|t)|(i&~(((e|i)|(e>b))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((t>~((~((~(b)&t))|e)))>(t|e))>t)
|
((((t&(~((b|b))&e))>(i&i))&~((e|t)))|t)
| 1 | 0 | 0 | 0 |
entailment
|
~(((b&(e&b))>t))
|
((((t&(~((b|b))&e))>(i&i))&~((e|t)))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
(((t>~((~((~(b)&t))|e)))>(t|e))>t)
|
((e|e)|((e|t)|(i&~(((e|i)|(e>b))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i|(t&((t|(b|e))>i))))&e)
|
(~(e)>(t|b))
| 1 | 1 | 1 | 1 |
entailment
|
(~(e)|~(e))
|
((t|e)>t)
| 1 | 1 | 0 | 0 |
entailment
|
(~((i|(t&((t|(b|e))>i))))&e)
|
((t|e)>t)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(e)|~(e))
|
(~(e)>(t|b))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&((e>(i|e))|(e>b)))
|
~((e>~(e)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(((e|(i|e))|t)))&b)
|
(~((((i&e)&e)|((b>(t>i))>i)))>b)
| 1 | 0 | 1 | 0 |
entailment
|
(e&((e>(i|e))|(e>b)))
|
(~((((i&e)&e)|((b>(t>i))>i)))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((e|(i|e))|t)))&b)
|
~((e>~(e)))
| 0 | 1 | 1 | 1 |
not entailment
|
(e&(b>e))
|
(((e&i)&(i|e))|(b|((e&e)&~(i))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((i>((e>(((b|t)|b)&(i&e)))&t)))|(b&t))
|
(i|b)
| 1 | 1 | 1 | 1 |
entailment
|
(e&(b>e))
|
(i|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i>((e>(((b|t)|b)&(i&e)))&t)))|(b&t))
|
(((e&i)&(i|e))|(b|((e&e)&~(i))))
| 0 | 1 | 1 | 1 |
not entailment
|
(b&~(t))
|
((~(b)>(((e&t)&((~(b)>t)>e))|b))>b)
| 1 | 0 | 0 | 0 |
entailment
|
~((e>((~((t&b))&t)>(~((i|t))|~(e)))))
|
((t>(e|e))>e)
| 1 | 1 | 1 | 0 |
entailment
|
(b&~(t))
|
((t>(e|e))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>((~((t&b))&t)>(~((i|t))|~(e)))))
|
((~(b)>(((e&t)&((~(b)>t)>e))|b))>b)
| 0 | 1 | 1 | 0 |
not entailment
|
(((b&(i|t))>e)&~(e))
|
((i|~((e>~(((b|t)>b)))))|~(e))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(t)&((t|((e|(e|i))>i))>(i>b))))
|
(((e>~(b))|i)>(~((t|b))|t))
| 1 | 1 | 1 | 0 |
entailment
|
(((b&(i|t))>e)&~(e))
|
(((e>~(b))|i)>(~((t|b))|t))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(t)&((t|((e|(e|i))>i))>(i>b))))
|
((i|~((e>~(((b|t)>b)))))|~(e))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(e)&(t|b))
|
((((b|t)|(e&~(i)))&(i>~(~(i))))|(b|e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((i|i)))
|
(i|t)
| 1 | 1 | 0 | 0 |
entailment
|
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