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 |
|---|---|---|---|---|---|---|
((~(u)&((y&(u&c))&~((h&h))))|((y|u)>c))
|
((c&(c|y))|(h>~((y&w))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((l|u)>l))
|
~((w&(~(u)&c)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(u)&((y&(u&c))&~((h&h))))|((y|u)>c))
|
~((w&(~(u)&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l|u)>l))
|
((c&(c|y))|(h>~((y&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((y>j)&(y&(d&d))))&d)
|
(~((~((j&(j|y)))>d))>j)
| 1 | 1 | 1 | 0 |
entailment
|
(a|~(~(j)))
|
(((((y>j)>j)|(d&(y|a)))&(j|(y&j)))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((y>j)&(y&(d&d))))&d)
|
(((((y>j)>j)|(d&(y|a)))&(j|(y&j)))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(a|~(~(j)))
|
(~((~((j&(j|y)))>d))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d&y)|d)>~(a)))
|
(~(~(~(~((d>j)))))>j)
| 1 | 0 | 0 | 0 |
entailment
|
(a&y)
|
((j|y)>(y&(a|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d&y)|d)>~(a)))
|
((j|y)>(y&(a|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&y)
|
(~(~(~(~((d>j)))))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
(j|(((y|y)|y)&(y>y)))
|
((a|j)|y)
| 1 | 1 | 0 | 0 |
entailment
|
(a>~((y|d)))
|
(a>(~(y)&(j|a)))
| 1 | 0 | 0 | 0 |
entailment
|
(j|(((y|y)|y)&(y>y)))
|
(a>(~(y)&(j|a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a>~((y|d)))
|
((a|j)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&d)
|
~(~((d&(a>j))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|~((j|d)))>(a>(j|y))))
|
((~(((y|y)|(((j&a)&a)>j)))|~(y))&(a>a))
| 1 | 0 | 1 | 0 |
entailment
|
(j&d)
|
((~(((y|y)|(((j&a)&a)>j)))|~(y))&(a>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|~((j|d)))>(a>(j|y))))
|
~(~((d&(a>j))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(a)&(j|((~(a)>j)|d)))
|
((d|y)|((d>~(~(a)))>(((d>y)&d)|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(a)>~((~((a&~(a)))&(a>j))))
|
(((a&(d|j))>(~(y)>a))>(~((d>y))|(d|a)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(a)&(j|((~(a)>j)|d)))
|
(((a&(d|j))>(~(y)>a))>(~((d>y))|(d|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(a)>~((~((a&~(a)))&(a>j))))
|
((d|y)|((d>~(~(a)))>(((d>y)&d)|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>j)&~(((y|(y|d))>y)))
|
((a|j)&(j&j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d|a)|((y>d)&a)))
|
(~(a)|(y&~(d)))
| 1 | 1 | 1 | 1 |
entailment
|
((d>j)&~(((y|(y|d))>y)))
|
(~(a)|(y&~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|a)|((y>d)&a)))
|
((a|j)&(j&j))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&~(~(((a>j)&~(y)))))&a)
|
((((a>a)&y)&(a>(a|a)))|a)
| 1 | 1 | 1 | 0 |
entailment
|
(~((a&a))&((~(d)>y)&(d>~(y))))
|
~((a|(~((d&d))&d)))
| 1 | 1 | 1 | 1 |
entailment
|
((j&~(~(((a>j)&~(y)))))&a)
|
~((a|(~((d&d))&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((a&a))&((~(d)>y)&(d>~(y))))
|
((((a>a)&y)&(a>(a|a)))|a)
| 0 | 1 | 1 | 0 |
not entailment
|
(a&d)
|
(~((a|j))|a)
| 1 | 0 | 0 | 0 |
entailment
|
~(((j|(y>y))&y))
|
((y|y)>(j|j))
| 1 | 1 | 1 | 0 |
entailment
|
(a&d)
|
((y|y)>(j|j))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j|(y>y))&y))
|
(~((a|j))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(~(d))&(j&d))))
|
(((d|d)>a)|(((~(y)|a)&~(d))|~(~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(a)&~(j))&(~(a)>(~(y)>y)))
|
((((y|j)>((j>d)&y))>(a&~(a)))|~(a))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~(d))&(j&d))))
|
((((y|j)>((j>d)&y))>(a&~(a)))|~(a))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(a)&~(j))&(~(a)>(~(y)>y)))
|
(((d|d)>a)|(((~(y)|a)&~(d))|~(~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&d)&a)
|
((a|a)|~((y>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((y|a))&(((y|j)|a)|d))
|
((~(a)&(~(y)|a))|(a>~((d|(j&~(a))))))
| 1 | 0 | 1 | 0 |
entailment
|
((y&d)&a)
|
((~(a)&(~(y)|a))|(a>~((d|(j&~(a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((y|a))&(((y|j)|a)|d))
|
((a|a)|~((y>j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(d&~((~(j)&(~(((d&d)|((a|j)&j)))&y))))
|
(y>((a|d)>d))
| 1 | 1 | 1 | 0 |
entailment
|
((a&y)&j)
|
~(~(((~((a|a))>~((y|(y>d))))&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&~((~(j)&(~(((d&d)|((a|j)&j)))&y))))
|
~(~(((~((a|a))>~((y|(y>d))))&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&y)&j)
|
(y>((a|d)>d))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&~((((d|j)&d)&(a|(~(a)>j)))))
|
(d|~(((y>(j>a))>((a|(y&a))>d))))
| 1 | 1 | 0 | 0 |
entailment
|
((j&(y|y))&(d|~(d)))
|
((d|d)>j)
| 1 | 1 | 1 | 1 |
entailment
|
(d&~((((d|j)&d)&(a|(~(a)>j)))))
|
((d|d)>j)
| 0 | 1 | 1 | 0 |
not entailment
|
((j&(y|y))&(d|~(d)))
|
(d|~(((y>(j>a))>((a|(y&a))>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d&~((y&j)))>a)|((j|j)&(d|d))))
|
(~((~((a>a))|j))&d)
| 1 | 1 | 1 | 0 |
entailment
|
((~(y)>a)&(~(j)&((y>a)|j)))
|
(((j>~(d))|(j|a))>(~(y)|a))
| 1 | 1 | 0 | 0 |
entailment
|
~((((d&~((y&j)))>a)|((j|j)&(d|d))))
|
(((j>~(d))|(j|a))>(~(y)|a))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(y)>a)&(~(j)&((y>a)|j)))
|
(~((~((a>a))|j))&d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j>j)&(a|(~((a|y))|a)))&d)
|
(j|(d&d))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~((j&a))&(y|(y|j)))))
|
(((~((~(j)&((j&a)>d)))>a)>(a|y))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(((j>j)&(a|(~((a|y))|a)))&d)
|
(((~((~(j)&((j&a)>d)))>a)>(a|y))|a)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((~((j&a))&(y|(y|j)))))
|
(j|(d&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(j))&a)
|
(((a|d)>~(~((j&a))))|~((a&((j>d)>a))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)&y)
|
~((d&~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(j))&a)
|
~((d&~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)&y)
|
(((a|d)>~(~((j&a))))|~((a&((j>d)>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a>(j|j)))
|
(~((a&a))>(y>j))
| 1 | 0 | 0 | 0 |
entailment
|
((a>a)>~((y>(y&d))))
|
(~(((((j>d)|y)&d)&(y&d)))>((y>a)>y))
| 1 | 0 | 0 | 0 |
entailment
|
~((a>(j|j)))
|
(~(((((j>d)|y)&d)&(y&d)))>((y>a)>y))
| 0 | 0 | 0 | 0 |
not entailment
|
((a>a)>~((y>(y&d))))
|
(~((a&a))>(y>j))
| 0 | 1 | 0 | 0 |
not entailment
|
((i>((i|(s&u))|k))&~((i>(s>(k|l)))))
|
((k>k)&(~((l&s))|((k|i)&~(l))))
| 1 | 1 | 1 | 0 |
entailment
|
((u&k)&(((i>i)&l)&s))
|
((k>l)&(l&(k|l)))
| 1 | 1 | 1 | 0 |
entailment
|
((i>((i|(s&u))|k))&~((i>(s>(k|l)))))
|
((k>l)&(l&(k|l)))
| 0 | 1 | 1 | 0 |
not entailment
|
((u&k)&(((i>i)&l)&s))
|
((k>k)&(~((l&s))|((k|i)&~(l))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((l|l)&((l>s)|s))))
|
(s|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((i>s))
|
(k|i)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((l|l)&((l>s)|s))))
|
(k|i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>s))
|
(s|k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((i|(s&i))&k)>l))
|
~(~((~((k|k))>(u|(u&~(~(k)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((i>l)|~(s))&(s>l)))
|
(~((l&(k>s)))&~(~(s)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((i|(s&i))&k)>l))
|
(~((l&(k>s)))&~(~(s)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((i>l)|~(s))&(s>l)))
|
~(~((~((k|k))>(u|(u&~(~(k)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i>s)>(s>l)))
|
~((((((l|(k>u))&l)&(l|s))&s)&~(k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((i|(s&k)))
|
((i&u)>k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((i>s)>(s>l)))
|
((i&u)>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i|(s&k)))
|
~((((((l|(k>u))&l)&(l|s))&s)&~(k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>u)&u)
|
((u|l)|(i&(l&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((s|s))|u))
|
(s&(((~((s&(k>k)))>s)|l)&(s|l)))
| 1 | 0 | 0 | 0 |
entailment
|
((u>u)&u)
|
(s&(((~((s&(k>k)))>s)|l)&(s|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((s|s))|u))
|
((u|l)|(i&(l&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u&((s|k)&s))>~(((i>u)|((s>l)&u)))))
|
((s|(~(k)|~((((u&s)&i)|u))))>s)
| 1 | 1 | 1 | 0 |
entailment
|
(~((((u>i)&k)>i))&(~(s)|(~(u)&u)))
|
(~(((l|i)>l))>((k>l)&s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u&((s|k)&s))>~(((i>u)|((s>l)&u)))))
|
(~(((l|i)>l))>((k>l)&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((u>i)&k)>i))&(~(s)|(~(u)&u)))
|
((s|(~(k)|~((((u&s)&i)|u))))>s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((u|k)&s)|(u&~((i|i))))
|
(u|s)
| 1 | 1 | 1 | 1 |
entailment
|
~(((s|k)|k))
|
((s>~((s|k)))&(u|((k>u)>~(((s>l)&s)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((u|k)&s)|(u&~((i|i))))
|
((s>~((s|k)))&(u|((k>u)>~(((s>l)&s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|k)|k))
|
(u|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((k>s)>i)&~((s>u)))
|
(u>(~(((l>u)&u))|(k>s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(((s|(s&i))|l)))&(u|s)))
|
(~(((u>s)&s))|(l|u))
| 1 | 1 | 1 | 0 |
entailment
|
(((k>s)>i)&~((s>u)))
|
(~(((u>s)&s))|(l|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(((s|(s&i))|l)))&(u|s)))
|
(u>(~(((l>u)&u))|(k>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
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