Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
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
(c&c)
((e>~((n>e)))>(n|(n&k)))
0
0
0
0
not entailment
((~(k)>(n>~((k&k))))>e)
((e|c)>c)
0
1
0
0
not entailment
(~((c&e))&(~(((n>e)>(~(k)|n)))&e))
(k&(c|~(n)))
1
1
1
0
entailment
(~((n>~(k)))&n)
((e>e)&n)
1
1
0
0
entailment
(~((c&e))&(~(((n>e)>(~(k)|n)))&e))
((e>e)&n)
0
1
1
0
not entailment
(~((n>~(k)))&n)
(k&(c|~(n)))
0
1
0
0
not entailment
~(~(((~(c)|(k&c))&c)))
((n&k)|k)
1
1
0
0
entailment
~(((k&~(c))|(~(e)|~(~((n|c))))))
(((n|c)>(c&n))|(e|n))
1
1
1
0
entailment
~(~(((~(c)|(k&c))&c)))
(((n|c)>(c&n))|(e|n))
0
1
0
0
not entailment
~(((k&~(c))|(~(e)|~(~((n|c))))))
((n&k)|k)
0
1
1
0
not entailment
((~(k)|~((c>c)))&((~(((e|n)|e))>n)&n))
(~(n)>((n&e)|((e>(n&k))>~((c>n)))))
1
1
1
0
entailment
(~(((c>(k>n))&k))>c)
(c|(c|(e|(e|k))))
1
1
0
0
entailment
((~(k)|~((c>c)))&((~(((e|n)|e))>n)&n))
(c|(c|(e|(e|k))))
0
1
1
0
not entailment
(~(((c>(k>n))&k))>c)
(~(n)>((n&e)|((e>(n&k))>~((c>n)))))
0
0
0
0
not entailment
(c&n)
((c&e)|((~(e)&(~(~((k&c)))|n))|(k|e)))
1
0
0
0
entailment
(c&~((c>(c>k))))
(~(~(((k&k)|(n&k))))>((~(n)>c)&e))
1
0
0
0
entailment
(c&n)
(~(~(((k&k)|(n&k))))>((~(n)>c)&e))
0
0
0
0
not entailment
(c&~((c>(c>k))))
((c&e)|((~(e)&(~(~((k&c)))|n))|(k|e)))
0
0
0
0
not entailment
((n&n)&e)
~(~(n))
1
1
1
1
entailment
~(((n>k)>k))
~(~(~((c&k))))
1
0
0
0
entailment
((n&n)&e)
~(~(~((c&k))))
0
0
0
0
not entailment
~(((n>k)>k))
~(~(n))
0
1
1
0
not entailment
((n&k)&((k>~(n))|(~(~(((n>e)>c)))&n)))
(((c>c)&n)|~((k>~(k))))
1
1
1
0
entailment
~((~(((c|e)&~((c|c))))>~(c)))
(~(~(c))&(((e&~(e))&c)>c))
1
1
1
0
entailment
((n&k)&((k>~(n))|(~(~(((n>e)>c)))&n)))
(~(~(c))&(((e&~(e))&c)>c))
0
1
1
0
not entailment
~((~(((c|e)&~((c|c))))>~(c)))
(((c>c)&n)|~((k>~(k))))
0
1
0
0
not entailment
~(((n&(n>c))>(~((e&n))&n)))
~(~((n|(((~(c)&c)|c)>(c&n)))))
1
0
1
0
entailment
(k&(((n>e)|c)|k))
(e>(c>(k&k)))
1
1
1
0
entailment
~(((n&(n>c))>(~((e&n))&n)))
(e>(c>(k&k)))
0
1
0
0
not entailment
(k&(((n>e)|c)|k))
~(~((n|(((~(c)&c)|c)>(c&n)))))
0
0
1
0
not entailment
(((k&k)&n)&(n|c))
((n>~(~(k)))|c)
1
1
1
0
entailment
~(((((c|k)&k)|~(e))|c))
(k>c)
1
1
1
0
entailment
(((k&k)&n)&(n|c))
(k>c)
0
1
1
0
not entailment
~(((((c|k)&k)|~(e))|c))
((n>~(~(k)))|c)
0
1
0
0
not entailment
(y|n)
(n|(~(~(~((~((a&n))&~((n|a))))))|y))
1
0
0
0
entailment
~(n)
(((n&y)&n)>a)
1
0
0
0
entailment
(y|n)
(((n&y)&n)>a)
0
0
0
0
not entailment
~(n)
(n|(~(~(~((~((a&n))&~((n|a))))))|y))
0
0
0
0
not entailment
(y&((a&a)|n))
(((n>a)>a)&(~(~(y))>((((a>n)|n)|y)>y)))
1
0
1
0
entailment
~(y)
~(((y&y)&a))
1
0
0
0
entailment
(y&((a&a)|n))
~(((y&y)&a))
0
1
1
0
not entailment
~(y)
(((n>a)>a)&(~(~(y))>((((a>n)|n)|y)>y)))
0
0
0
0
not entailment
(y&((n|n)&y))
((~(n)&(y&(y>y)))>~((n>(y>y))))
1
0
1
0
entailment
(a&a)
(n>a)
1
1
0
0
entailment
(y&((n|n)&y))
(n>a)
0
1
0
0
not entailment
(a&a)
((~(n)&(y&(y>y)))>~((n>(y>y))))
0
0
0
0
not entailment
(~(a)&((((y>(a>a))&y)|n)|(a|n)))
(~((~((y>(a>a)))|~(a)))>((a|n)&~(y)))
1
0
1
1
entailment
((y>~(n))>y)
(a|(n>y))
1
1
0
0
entailment
(~(a)&((((y>(a>a))&y)|n)|(a|n)))
(a|(n>y))
0
1
1
0
not entailment
((y>~(n))>y)
(~((~((y>(a>a)))|~(a)))>((a|n)&~(y)))
0
0
0
0
not entailment
~(n)
(n>(n>y))
1
0
0
0
entailment
(a&((y>a)>(a|n)))
(~(~(a))|(y|(n&((a&a)>y))))
1
0
1
1
entailment
~(n)
(~(~(a))|(y|(n&((a&a)>y))))
0
0
0
0
not entailment
(a&((y>a)>(a|n)))
(n>(n>y))
0
1
1
0
not entailment
~(a)
~((a&n))
1
0
0
0
entailment
(((n|n)>y)&a)
((y|n)|a)
1
1
1
0
entailment
~(a)
((y|n)|a)
0
0
0
0
not entailment
(((n|n)>y)&a)
~((a&n))
0
1
1
0
not entailment
(((y&y)&(y>n))&(y|~((y>n))))
((~(a)&(y|~(y)))|y)
1
1
0
0
entailment
(((((a|y)>y)>n)&n)>a)
((((n&a)|n)&~(~((y|a))))>a)
1
0
1
1
entailment
(((y&y)&(y>n))&(y|~((y>n))))
((((n&a)|n)&~(~((y|a))))>a)
0
1
0
0
not entailment
(((((a|y)>y)>n)&n)>a)
((~(a)&(y|~(y)))|y)
0
1
1
1
not entailment
~(((n&n)>~((a>~((a>(n>n)))))))
((a|(a|((y>n)|a)))|(((a>n)&a)&n))
1
1
0
0
entailment
~(((y|~((y>(~(y)>y))))&((y>a)|n)))
(n>(~((a&y))>(n>(y>a))))
1
1
1
0
entailment
~(((n&n)>~((a>~((a>(n>n)))))))
(n>(~((a&y))>(n>(y>a))))
0
1
0
0
not entailment
~(((y|~((y>(~(y)>y))))&((y>a)|n)))
((a|(a|((y>n)|a)))|(((a>n)&a)&n))
0
1
1
0
not entailment
(y&a)
(((a|((n|y)&(n>n)))&n)>(a|~(n)))
1
0
0
0
entailment
(~(y)&n)
(((a|y)>(a>n))|n)
1
0
0
0
entailment
(y&a)
(((a|y)>(a>n))|n)
0
0
0
0
not entailment
(~(y)&n)
(((a|((n|y)&(n>n)))&n)>(a|~(n)))
0
0
0
0
not entailment
(((n|(~(a)>n))&n)&(a&(a&((y|(y&a))>y))))
((~((n|a))|n)|~((((n>n)&a)|((y>a)|n))))
1
1
1
0
entailment
((n>n)>~((n|y)))
(~(n)|(n&y))
1
1
1
0
entailment
(((n|(~(a)>n))&n)&(a&(a&((y|(y&a))>y))))
(~(n)|(n&y))
0
1
1
0
not entailment
((n>n)>~((n|y)))
((~((n|a))|n)|~((((n>n)&a)|((y>a)|n))))
0
0
0
0
not entailment
(((y&a)>~(a))>a)
((((n>n)>(n&(n>a)))>(n|(y>n)))&(a&(a&a)))
1
0
0
0
entailment
((((n|n)&y)>(~(~(a))>n))>(((y|y)|n)|y))
(n|y)
1
1
1
1
entailment
(((y&a)>~(a))>a)
(n|y)
0
1
0
0
not entailment
((((n|n)&y)>(~(~(a))>n))>(((y|y)|n)|y))
((((n>n)>(n&(n>a)))>(n|(y>n)))&(a&(a&a)))
0
1
1
0
not entailment
(y&a)
((y>a)&((a|a)|y))
1
0
1
0
entailment
~((a|~(y)))
~((a&a))
1
1
1
1
entailment
(y&a)
~((a&a))
0
0
1
0
not entailment
~((a|~(y)))
((y>a)&((a|a)|y))
0
0
1
0
not entailment
~(~(n))
(a>((((n&a)|(y|(a|(n|n))))|n)>n))
1
0
0
0
entailment
((a>~((y&y)))>((a|(n&n))&(a&n)))
(a|((n&y)|a))
1
1
1
1
entailment
~(~(n))
(a|((n&y)|a))
0
0
0
0
not entailment
((a>~((y&y)))>((a|(n&n))&(a&n)))
(a>((((n&a)|(y|(a|(n|n))))|n)>n))
0
1
1
0
not entailment
(y&(((a&y)&n)>(a|n)))
(((y>~((n>n)))>~((n|y)))|~((y|n)))
1
0
1
1
entailment
((y|y)>(y&n))
~(~(((((n>y)&n)>a)>(y>n))))
1
0
0
0
entailment
(y&(((a&y)&n)>(a|n)))
~(~(((((n>y)&n)>a)>(y>n))))
0
0
1
1
not entailment
((y|y)>(y&n))
(((y>~((n>n)))>~((n|y)))|~((y|n)))
0
0
1
0
not entailment
((s>~((~(((d&l)|(((s&s)>d)|p)))>s)))&h)
((l>p)|((h|l)>(((h|c)&(s>p))|(s>h))))
1
1
0
0
entailment
~((~((~(c)|~((d|~(p)))))|(c|(p&h))))
((((c|(c&p))>d)|(s&h))|(l>(s&(p|h))))
1
1
0
0
entailment
((s>~((~(((d&l)|(((s&s)>d)|p)))>s)))&h)
((((c|(c&p))>d)|(s&h))|(l>(s&(p|h))))
0
1
0
0
not entailment
~((~((~(c)|~((d|~(p)))))|(c|(p&h))))
((l>p)|((h|l)>(((h|c)&(s>p))|(s>h))))
0
1
0
0
not entailment
~((s>(~(((~((p&(l>c)))>l)>(d>h)))|p)))
(p>s)
1
1
1
1
entailment
~(((d>(l>(c|h)))>(l>~(h))))
((~(((c&s)>p))&(((d|c)&(l&(p|h)))>l))>l)
1
0
0
0
entailment
~((s>(~(((~((p&(l>c)))>l)>(d>h)))|p)))
((~(((c&s)>p))&(((d|c)&(l&(p|h)))>l))>l)
0
1
1
0
not entailment
~(((d>(l>(c|h)))>(l>~(h))))
(p>s)
0
1
0
0
not entailment
((d|s)&~((d|((p&(s|(h>s)))>(s>(p&l))))))
(s|d)
1
1
1
1
entailment
~(((((h|p)>l)|(d>d))&c))
(c>~((h|d)))
1
1
1
0
entailment