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 |
|---|---|---|---|---|---|---|
~(((j&i)|(c|d)))
|
((j|i)|((~(a)&(((a|j)|a)>q))&q))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>(a&a)))
|
(q>~((q&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((((d&i)>q)|(j&i)))))
|
(x>~((i&j)))
| 1 | 1 | 0 | 0 |
entailment
|
((((a>q)|d)>(j>d))&q)
|
(q&(c>(~(c)>i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((((d&i)>q)|(j&i)))))
|
(q&(c>(~(c)>i)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((a>q)|d)>(j>d))&q)
|
(x>~((i&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((x|j)>~(i))&i)
|
(a|((d>j)>~(d)))
| 1 | 1 | 0 | 0 |
entailment
|
((i|q)>((c|(c&d))&((q>a)>~(a))))
|
~(~(((q&d)>c)))
| 1 | 1 | 1 | 0 |
entailment
|
(((x|j)>~(i))&i)
|
~(~(((q&d)>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i|q)>((c|(c&d))&((q>a)>~(a))))
|
(a|((d>j)>~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((q|(x|((x|c)|~((d|q))))))
|
(((x&a)|i)>(i&i))
| 1 | 1 | 0 | 0 |
entailment
|
((d&(x>c))&~(~((x|(x|x)))))
|
((((c&(j&d))|(((j&a)|j)|(i>j)))&a)|(c|i))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|(x|((x|c)|~((d|q))))))
|
((((c&(j&d))|(((j&a)|j)|(i>j)))&a)|(c|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(x>c))&~(~((x|(x|x)))))
|
(((x&a)|i)>(i&i))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&((i>(c>d))&i))
|
~(~((d|i)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((c&q)|~(((c>a)>(j|d))))))
|
((j>c)|((d|(d>c))>((j&i)>~(i))))
| 1 | 1 | 0 | 0 |
entailment
|
(a&((i>(c>d))&i))
|
((j>c)|((d|(d>c))>((j&i)>~(i))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((c&q)|~(((c>a)>(j|d))))))
|
~(~((d|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>((a>q)>q))|j))
|
(q>~(x))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((d|j)&i))|((x&q)>(d|d))))
|
(j&(d>c))
| 1 | 1 | 0 | 0 |
entailment
|
~(((i>((a>q)>q))|j))
|
(j&(d>c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((d|j)&i))|((x&q)>(d|d))))
|
(q>~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((j|i)>q))>((j&x)>a)))
|
(j>x)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(d)|c))
|
(d&((d|j)|c))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((j|i)>q))>((j&x)>a)))
|
(d&((d|j)|c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(d)|c))
|
(j>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(d))&(x&c))
|
(((q&i)>(j|(x&a)))|(a|d))
| 1 | 0 | 0 | 0 |
entailment
|
~((((q|q)&(d|q))>(~((x|a))&(d&i))))
|
(q|(i>(a&d)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(d))&(x&c))
|
(q|(i>(a&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((q|q)&(d|q))>(~((x|a))&(d&i))))
|
(((q&i)>(j|(x&a)))|(a|d))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&~(r))&(r|w))
|
(r|e)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(((r&r)|e))))&(w|(e>w)))
|
(~(a)|~(e))
| 1 | 1 | 0 | 0 |
entailment
|
((e&~(r))&(r|w))
|
(~(a)|~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(((r&r)|e))))&(w|(e>w)))
|
(r|e)
| 0 | 1 | 1 | 0 |
not entailment
|
((w&a)|~(~(w)))
|
((w|r)>w)
| 1 | 1 | 0 | 0 |
entailment
|
((a&a)&(r|(w&e)))
|
(((r&(w|a))>w)>(e|r))
| 1 | 0 | 1 | 0 |
entailment
|
((w&a)|~(~(w)))
|
(((r&(w|a))>w)>(e|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&a)&(r|(w&e)))
|
((w|r)>w)
| 0 | 1 | 1 | 0 |
not entailment
|
((a>r)&(a|(a&e)))
|
(~(~(a))|w)
| 1 | 1 | 0 | 0 |
entailment
|
~((((r|(a>a))>~((((w>a)|r)&a)))>(e>r)))
|
((e|(((w|e)>r)&~(w)))&((e&((w&r)|a))>a))
| 1 | 1 | 1 | 0 |
entailment
|
((a>r)&(a|(a&e)))
|
((e|(((w|e)>r)&~(w)))&((e&((w&r)|a))>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((r|(a>a))>~((((w>a)|r)&a)))>(e>r)))
|
(~(~(a))|w)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((a|r))&(w|a))
|
(((r|e)|r)|w)
| 1 | 1 | 0 | 0 |
entailment
|
(e>(a&w))
|
(((e&a)|e)>(~(a)>a))
| 1 | 0 | 1 | 0 |
entailment
|
(~((a|r))&(w|a))
|
(((e&a)|e)>(~(a)>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(e>(a&w))
|
(((r|e)|r)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
((w|w)&(w&~(r)))
|
(r>(w|(r&(w&~(e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((w>w)>(a>(r&e)))&(~(a)>a))
|
((~((e>r))>w)&(e|~(w)))
| 1 | 1 | 1 | 0 |
entailment
|
((w|w)&(w&~(r)))
|
((~((e>r))>w)&(e|~(w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w>w)>(a>(r&e)))&(~(a)>a))
|
(r>(w|(r&(w&~(e)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((a&a)>(~(a)&r))>a)
|
(r>a)
| 1 | 1 | 1 | 1 |
entailment
|
(a>(r&e))
|
((a&(w&e))>(a>((e&r)&(e|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&a)>(~(a)&r))>a)
|
((a&(w&e))>(a>((e&r)&(e|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a>(r&e))
|
(r>a)
| 0 | 1 | 1 | 0 |
not entailment
|
(e&a)
|
(~(~((a>e)))>(e&e))
| 1 | 0 | 1 | 0 |
entailment
|
((a|~((e>e)))>w)
|
~(~(~(((((a>e)&e)&(r&~((r&w))))&a))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&a)
|
~(~(~(((((a>e)&e)&(r&~((r&w))))&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|~((e>e)))>w)
|
(~(~((a>e)))>(e&e))
| 0 | 0 | 1 | 0 |
not entailment
|
(e&r)
|
(((a&a)>~((a&w)))>((e>((a&r)|e))&e))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(r))>((r&a)|e)))
|
((~((w&(r&w)))&(a>w))>(~(e)&(a>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&r)
|
((~((w&(r&w)))&(a>w))>(~(e)&(a>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(r))>((r&a)|e)))
|
(((a&a)>~((a&w)))>((e>((a&r)|e))&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(r&(((a|r)>w)|((a&a)&w))))
|
(~((w|w))|r)
| 1 | 1 | 1 | 0 |
entailment
|
((w|r)&e)
|
(e|a)
| 1 | 1 | 0 | 0 |
entailment
|
(r&(r&(((a|r)>w)|((a&a)&w))))
|
(e|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((w|r)&e)
|
(~((w|w))|r)
| 0 | 0 | 1 | 0 |
not entailment
|
(r&(a&(e|a)))
|
(r&((r|a)|(r>(e|~(r)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((w&(e>r))))
|
(~(~(a))>w)
| 1 | 1 | 0 | 0 |
entailment
|
(r&(a&(e|a)))
|
(~(~(a))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((w&(e>r))))
|
(r&((r|a)|(r>(e|~(r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&e)|~((w|(w>r))))
|
((r&e)|((~((w&e))|(w&e))>r))
| 1 | 0 | 1 | 0 |
entailment
|
((w>e)&w)
|
~((~((((r|e)|((r|w)&e))&w))|~(w)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&e)|~((w|(w>r))))
|
~((~((((r|e)|((r|w)&e))&w))|~(w)))
| 0 | 0 | 1 | 1 |
not entailment
|
((w>e)&w)
|
((r&e)|((~((w&e))|(w&e))>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&(~((~(r)&(a&a)))&(r&r)))
|
((((e&(a&w))&r)&e)|w)
| 1 | 1 | 0 | 0 |
entailment
|
(e>(e&~((e&w))))
|
(((e&a)|e)>~((w|w)))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(~((~(r)&(a&a)))&(r&r)))
|
(((e&a)|e)>~((w|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
(e>(e&~((e&w))))
|
((((e&(a&w))&r)&e)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((w&r)))
|
(e|~(~(((w&w)|(r|~(~(r)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((w|a)|(((r>a)&(a>a))&w)))
|
~(((((w|~(w))>a)|(~(r)>~((r>a))))&w))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((w&r)))
|
~(((((w|~(w))>a)|(~(r)>~((r>a))))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w|a)|(((r>a)&(a>a))&w)))
|
(e|~(~(((w&w)|(r|~(~(r)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|e)&e)
|
(((e|a)|e)>((r&a)|(r|e)))
| 1 | 0 | 0 | 0 |
entailment
|
(w>~(((w|(~((w|a))>a))&w)))
|
(((w>(w&e))&r)|(w>a))
| 1 | 1 | 0 | 0 |
entailment
|
((a|e)&e)
|
(((w>(w&e))&r)|(w>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(w>~(((w|(~((w|a))>a))&w)))
|
(((e|a)|e)>((r&a)|(r|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>r)|((e|a)>(((a&(w>(r|a)))|(r>a))&r)))
|
(~((((r|w)|~((r>(a>r))))>(w&r)))>(e>r))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~(e)&w))>~((~(a)>w))))
|
(~((e|a))>e)
| 1 | 1 | 1 | 1 |
entailment
|
((w>r)|((e|a)>(((a&(w>(r|a)))|(r>a))&r)))
|
(~((e|a))>e)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~(e)&w))>~((~(a)>w))))
|
(~((((r|w)|~((r>(a>r))))>(w&r)))>(e>r))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&s)&(((p>y)>l)|~((~(p)|s))))
|
(p|y)
| 1 | 1 | 1 | 0 |
entailment
|
((y|l)|(b&l))
|
~((~((l|((s>s)>(p>y))))&~(((y&p)&y))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&s)&(((p>y)>l)|~((~(p)|s))))
|
~((~((l|((s>s)>(p>y))))&~(((y&p)&y))))
| 0 | 0 | 1 | 0 |
not entailment
|
((y|l)|(b&l))
|
(p|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((u&y)|u)
|
(p|(s|u))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(q)|(l|~((s&u))))&(l&l))>(u|y)))
|
(p>(~(l)>l))
| 1 | 1 | 0 | 0 |
entailment
|
((u&y)|u)
|
(p>(~(l)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(q)|(l|~((s&u))))&(l&l))>(u|y)))
|
(p|(s|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((y&p)&(b&l))>~((p&y))))
|
(~((~(u)>p))>~(((b&y)&y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(q))&((b>(s>y))>b))
|
~(~((u|q)))
| 1 | 1 | 0 | 0 |
entailment
|
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