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&(~(s)&(r|((s>b)|r))))
(p|((p|k)&((c>k)|(r|p))))
0
1
0
0
not entailment
(~(~((p|p)))&(((r&c)|c)&~(e)))
((j>(c|c))|~(b))
1
1
0
0
entailment
(r&b)
~(~((~(~((((c|r)&s)>~(k))))>(r|l))))
1
0
0
0
entailment
(~(~((p|p)))&(((r&c)|c)&~(e)))
~(~((~(~((((c|r)&s)>~(k))))>(r|l))))
0
0
0
0
not entailment
(r&b)
((j>(c|c))|~(b))
0
0
0
0
not entailment
~(~((((p|p)&l)&((l|k)>k))))
(((s>b)|(c|c))|k)
1
1
0
0
entailment
~((b|~((j&(j|~(((e|c)&b)))))))
(~((s&((e>b)>k)))>(k>~(~((j|e)))))
1
0
0
0
entailment
~(~((((p|p)&l)&((l|k)>k))))
(~((s&((e>b)>k)))>(k>~(~((j|e)))))
0
0
0
0
not entailment
~((b|~((j&(j|~(((e|c)&b)))))))
(((s>b)|(c|c))|k)
0
1
0
0
not entailment
(c&(~(k)&s))
~((~(c)&~(r)))
1
0
0
0
entailment
((l&(p&k))&~(s))
((l&k)|b)
1
1
0
0
entailment
(c&(~(k)&s))
((l&k)|b)
0
1
0
0
not entailment
((l&(p&k))&~(s))
~((~(c)&~(r)))
0
1
0
0
not entailment
~((r>((j&j)&p)))
((e|r)|c)
1
1
0
0
entailment
((s>s)&b)
~(~((j|b)))
1
0
0
0
entailment
~((r>((j&j)&p)))
~(~((j|b)))
0
1
0
0
not entailment
((s>s)&b)
((e|r)|c)
0
1
0
0
not entailment
~((~(l)>(c>((b>e)|~((r>(b&k)))))))
(p|(b|(l>p)))
1
1
0
0
entailment
~(((j&(e|s))|((l&s)>((e|(b>r))>(c>k)))))
~(((b>((l|r)&c))>(s>(l&j))))
1
1
1
0
entailment
~((~(l)>(c>((b>e)|~((r>(b&k)))))))
~(((b>((l|r)&c))>(s>(l&j))))
0
1
0
0
not entailment
~(((j&(e|s))|((l&s)>((e|(b>r))>(c>k)))))
(p|(b|(l>p)))
0
1
0
0
not entailment
~(~((k&~(~(r)))))
((r|(r|l))|((~((b|b))&j)>p))
1
0
0
0
entailment
~((e|(((~((s&(s&j)))>p)&(l|c))|(e|e))))
(~(((~(c)&(e>(e>b)))&e))|(p|j))
1
1
0
0
entailment
~(~((k&~(~(r)))))
(~(((~(c)&(e>(e>b)))&e))|(p|j))
0
0
0
0
not entailment
~((e|(((~((s&(s&j)))>p)&(l|c))|(e|e))))
((r|(r|l))|((~((b|b))&j)>p))
0
1
0
0
not entailment
(d&(~((~(s)&(g>l)))>(e&e)))
(((g>e)&((s>(l>d))>(s&s)))>e)
1
1
1
0
entailment
((d&((l|e)|d))&~(((l&s)|((l>(e|g))>e))))
(~(((l&l)>~(g)))>(~(g)|~(e)))
1
1
1
0
entailment
(d&(~((~(s)&(g>l)))>(e&e)))
(~(((l&l)>~(g)))>(~(g)|~(e)))
0
0
1
0
not entailment
((d&((l|e)|d))&~(((l&s)|((l>(e|g))>e))))
(((g>e)&((s>(l>d))>(s&s)))>e)
0
1
1
1
not entailment
~((~((d>l))>l))
(((g&s)|d)|(~(l)|~((e>s))))
1
0
0
0
entailment
~(((d|l)>(~(~((l|s)))>g)))
(((s|d)>s)>(~((g|g))&((d&s)>(d&d))))
1
0
1
0
entailment
~((~((d>l))>l))
(((s|d)>s)>(~((g|g))&((d&s)>(d&d))))
0
0
0
0
not entailment
~(((d|l)>(~(~((l|s)))>g)))
(((g&s)|d)|(~(l)|~((e>s))))
0
1
0
0
not entailment
~(((d&(g&e))|~(g)))
(~(~(((s|s)|l)))|g)
1
1
0
0
entailment
~((d>g))
(~((l|l))|((s|d)&((s&g)|d)))
1
0
0
0
entailment
~(((d&(g&e))|~(g)))
(~((l|l))|((s|d)&((s&g)|d)))
0
0
0
0
not entailment
~((d>g))
(~(~(((s|s)|l)))|g)
0
0
0
0
not entailment
((g>l)&((l&((g&l)|d))&s))
(((l>(s&s))&l)&(s&l))
1
1
1
0
entailment
~((d>(d>~(((s&g)|l)))))
(g>(l>d))
1
1
1
0
entailment
((g>l)&((l&((g&l)|d))&s))
(g>(l>d))
0
1
1
0
not entailment
~((d>(d>~(((s&g)|l)))))
(((l>(s&s))&l)&(s&l))
0
1
1
0
not entailment
~((((g&(s>g))|(((s|s)>~(d))&g))>~(s)))
((~(g)|((d|s)|l))|(g>(d&(d&l))))
1
1
0
0
entailment
((~(((e&d)|~((s|g))))>((s|e)|g))>e)
(((l|d)&~((~(~(~(e)))&l)))|~((d&s)))
1
0
0
0
entailment
~((((g&(s>g))|(((s|s)>~(d))&g))>~(s)))
(((l|d)&~((~(~(~(e)))&l)))|~((d&s)))
0
1
0
0
not entailment
((~(((e&d)|~((s|g))))>((s|e)|g))>e)
((~(g)|((d|s)|l))|(g>(d&(d&l))))
0
1
0
0
not entailment
(((((s>s)|((g>d)>(s&e)))&d)|s)&s)
~(~(s))
1
1
1
1
entailment
~(~(~(d)))
((d>g)|g)
1
1
0
0
entailment
(((((s>s)|((g>d)>(s&e)))&d)|s)&s)
((d>g)|g)
0
1
1
1
not entailment
~(~(~(d)))
~(~(s))
0
1
0
0
not entailment
((d&g)&g)
(g&(l>(l&d)))
1
0
0
0
entailment
((g&~(~(~(s))))&(g|(d>s)))
(~((l|l))|~(~(~(s))))
1
1
0
0
entailment
((d&g)&g)
(~((l|l))|~(~(~(s))))
0
0
0
0
not entailment
((g&~(~(~(s))))&(g|(d>s)))
(g&(l>(l&d)))
0
1
0
0
not entailment
(~(l)&s)
(~(e)|(d|s))
1
0
0
0
entailment
(((l>(e|d))&l)&(l&e))
((((d&l)>l)>l)|~((d|(e>g))))
1
0
0
0
entailment
(~(l)&s)
((((d&l)>l)>l)|~((d|(e>g))))
0
0
0
0
not entailment
(((l>(e|d))&l)&(l&e))
(~(e)|(d|s))
0
1
0
0
not entailment
((s|d)&((e>(e&l))&~((d|((s&s)>~(s))))))
(((e&l)|~(d))|((e&(d|e))&(~(s)&l)))
1
1
1
0
entailment
((e>l)&(s&(d&(d>s))))
((l|((e|l)|(~(e)>d)))&(e>(l&(e|s))))
1
0
1
0
entailment
((s|d)&((e>(e&l))&~((d|((s&s)>~(s))))))
((l|((e|l)|(~(e)>d)))&(e>(l&(e|s))))
0
1
1
1
not entailment
((e>l)&(s&(d&(d>s))))
(((e&l)|~(d))|((e&(d|e))&(~(s)&l)))
0
0
1
0
not entailment
(((~(e)|(s|g))&~((l>(~(d)&s))))&l)
((((~((e|l))&d)>l)>(g&s))>s)
1
1
1
0
entailment
((((s&(~(e)|e))>d)>g)&(((g|g)&g)|l))
~(((~(s)&(d>(l>(d|s))))&(~(g)&l)))
1
1
1
0
entailment
(((~(e)|(s|g))&~((l>(~(d)&s))))&l)
~(((~(s)&(d>(l>(d|s))))&(~(g)&l)))
0
1
1
0
not entailment
((((s&(~(e)|e))>d)>g)&(((g|g)&g)|l))
((((~((e|l))&d)>l)>(g&s))>s)
0
1
1
0
not entailment
((e&(s&l))&(e>(((e&g)&d)>s)))
(~(((s|l)|~(~(g))))>(d>s))
1
1
1
0
entailment
~(~(~((((e&g)|(e>l))|~((l>s))))))
(~((l|g))|g)
1
1
1
0
entailment
((e&(s&l))&(e>(((e&g)&d)>s)))
(~((l|g))|g)
0
1
1
0
not entailment
~(~(~((((e&g)|(e>l))|~((l>s))))))
(~(((s|l)|~(~(g))))>(d>s))
0
1
0
0
not entailment
(e&g)
(e>(d|(g|d)))
1
0
0
0
entailment
(~((((s|~((s>(l&~(e)))))&l)|g))&e)
~(((d>~(d))&(e&((l&g)&e))))
1
1
0
0
entailment
(e&g)
~(((d>~(d))&(e&((l&g)&e))))
0
0
0
0
not entailment
(~((((s|~((s>(l&~(e)))))&l)|g))&e)
(e>(d|(g|d)))
0
1
0
0
not entailment
~((~(((~((((a|n)>a)|a))|(c|c))&a))>n))
((a&a)|~(~(~((~((((a>n)&a)&a))&n)))))
1
1
1
0
entailment
((n&(~(a)>n))&c)
(a|c)
1
1
1
1
entailment
~((~(((~((((a|n)>a)|a))|(c|c))&a))>n))
(a|c)
0
1
1
0
not entailment
((n&(~(a)>n))&c)
((a&a)|~(~(~((~((((a>n)&a)&a))&n)))))
0
0
1
0
not entailment
((c>((c|a)>(c|n)))&(((a>c)>a)&a))
(((c|a)|a)&((a|n)|(a|a)))
1
1
1
1
entailment
(~((n&n))>((a&(n&~(~(a))))|((c&n)&n)))
((((c|c)|n)|n)|((~((a>~(c)))>c)&n))
1
1
1
0
entailment
((c>((c|a)>(c|n)))&(((a>c)>a)&a))
((((c|c)|n)|n)|((~((a>~(c)))>c)&n))
0
0
1
1
not entailment
(~((n&n))>((a&(n&~(~(a))))|((c&n)&n)))
(((c|a)|a)&((a|n)|(a|a)))
0
1
1
1
not entailment
(~((c&c))|(~(c)&(a|c)))
(n>(c>(~(~(c))&(n&(a|a)))))
1
0
0
0
entailment
((n&n)&~(~(c)))
((a>c)|(~((c|a))&(a|c)))
1
0
0
0
entailment
(~((c&c))|(~(c)&(a|c)))
((a>c)|(~((c|a))&(a|c)))
0
1
1
0
not entailment
((n&n)&~(~(c)))
(n>(c>(~(~(c))&(n&(a|a)))))
0
0
0
0
not entailment
((n|n)&(n>a))
(~((~(((a&a)&(n>c)))&((c>n)>a)))|(n|n))
1
0
0
0
entailment
~((n&(((a|n)&(c|n))|c)))
(~(n)|((a>((n|n)>((c&~(a))|c)))|c))
1
0
1
0
entailment
((n|n)&(n>a))
(~(n)|((a>((n|n)>((c&~(a))|c)))|c))
0
0
0
0
not entailment
~((n&(((a|n)&(c|n))|c)))
(~((~(((a&a)&(n>c)))&((c>n)>a)))|(n|n))
0
0
1
0
not entailment
((n>n)&(c&n))
(((c|((a>c)>c))&(a>n))|~((c|c)))
1
0
0
0
entailment
(n>((a&n)|a))
(n>((~((a|a))>c)>((c|((c|a)|c))&a)))
1
0
0
0
entailment
((n>n)&(c&n))
(n>((~((a|a))>c)>((c|((c|a)|c))&a)))
0
0
0
0
not entailment
(n>((a&n)|a))
(((c|((a>c)>c))&(a>n))|~((c|c)))
0
0
0
0
not entailment
(a|~((n|c)))
(n>(((n|a)>a)|a))
1
0
1
0
entailment
((c&((n&a)>n))|((a|c)&~(((a|c)>c))))
(((n|a)|c)|a)
1
1
1
1
entailment
(a|~((n|c)))
(((n|a)|c)|a)
0
1
1
0
not entailment
((c&((n&a)>n))|((a|c)&~(((a|c)>c))))
(n>(((n|a)>a)|a))
0
1
1
1
not entailment
(((c>(c>a))|(~((n|c))|(c>(n|a))))&(n&n))
(n|c)
1
1
1
0
entailment
((a|((c&c)&~((c&~((a|c))))))|((n&c)&c))
(c|a)
1
1
1
1
entailment
(((c>(c>a))|(~((n|c))|(c>(n|a))))&(n&n))
(c|a)
0
1
1
0
not entailment