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