Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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
((f>(l&~((t|f))))>f)
((k|(~(~((k>x)))|(l|e)))&(n|(f|e)))
1
0
0
0
entailment
(t&((e>k)|k))
(((h&(x|f))&(x>f))|(e>k))
1
0
0
0
entailment
((f>(l&~((t|f))))>f)
(((h&(x|f))&(x>f))|(e>k))
0
0
0
0
not entailment
(t&((e>k)|k))
((k|(~(~((k>x)))|(l|e)))&(n|(f|e)))
0
0
0
0
not entailment
(l>~(l))
~((((h|h)&l)&~(~(f))))
1
0
0
0
entailment
((((~(((k>l)&((t>t)|r)))&x)>t)|(t|t))>r)
((n>((x|x)&(t|(~((r&f))&n))))|(f>(j|r)))
1
1
0
0
entailment
(l>~(l))
((n>((x|x)&(t|(~((r&f))&n))))|(f>(j|r)))
0
0
0
0
not entailment
((((~(((k>l)&((t>t)|r)))&x)>t)|(t|t))>r)
~((((h|h)&l)&~(~(f))))
0
1
0
0
not entailment
~((((k&h)&x)|t))
((t&e)>f)
1
1
0
0
entailment
(~((x>(~(~(h))|h)))&~(j))
(h>e)
1
1
0
0
entailment
~((((k&h)&x)|t))
(h>e)
0
1
0
0
not entailment
(~((x>(~(~(h))|h)))&~(j))
((t&e)>f)
0
1
0
0
not entailment
~(~(~(~(f))))
(n>f)
1
1
0
0
entailment
~(~((j&~((((t&r)|x)>((h>r)>t))))))
(x|(r|(j>(k&t))))
1
1
0
0
entailment
~(~(~(~(f))))
(x|(r|(j>(k&t))))
0
1
0
0
not entailment
~(~((j&~((((t&r)|x)>((h>r)>t))))))
(n>f)
0
1
0
0
not entailment
~((~((j>n))|(f>k)))
~((l&(t&k)))
1
1
0
0
entailment
~(((r|h)&~((k&l))))
(((r|k)>k)|((e|e)&((j>k)&~((e|h)))))
1
0
0
0
entailment
~((~((j>n))|(f>k)))
(((r|k)>k)|((e|e)&((j>k)&~((e|h)))))
0
0
0
0
not entailment
~(((r|h)&~((k&l))))
~((l&(t&k)))
0
1
0
0
not entailment
~((((k>k)&n)>k))
(n|((n|x)|(r&(k>f))))
1
0
0
0
entailment
~(~((r>~(n))))
((((r&n)|j)>(l|h))|(e|j))
1
0
0
0
entailment
~((((k>k)&n)>k))
((((r&n)|j)>(l|h))|(e|j))
0
0
0
0
not entailment
~(~((r>~(n))))
(n|((n|x)|(r&(k>f))))
0
0
0
0
not entailment
((((a&e)&(u&(c&u)))>(a&(x|u)))&x)
(~(~(x))|(u|(x&x)))
1
1
1
1
entailment
(~(((c>c)&a))&~(~((c>e))))
~((((u>(e>u))&((a>u)&a))&(c>(~(e)>e))))
1
0
0
0
entailment
((((a&e)&(u&(c&u)))>(a&(x|u)))&x)
~((((u>(e>u))&((a>u)&a))&(c>(~(e)>e))))
0
0
1
0
not entailment
(~(((c>c)&a))&~(~((c>e))))
(~(~(x))|(u|(x&x)))
0
1
0
0
not entailment
(((c&a)|u)&(a&x))
(((c>((x&a)&x))|((u|a)|u))>~(~((a|e))))
1
0
0
0
entailment
(~(c)&(((u|e)>x)>(~(x)&~(a))))
(((e|c)>a)>~((c&~(e))))
1
1
1
0
entailment
(((c&a)|u)&(a&x))
(((e|c)>a)>~((c&~(e))))
0
0
0
0
not entailment
(~(c)&(((u|e)>x)>(~(x)&~(a))))
(((c>((x&a)&x))|((u|a)|u))>~(~((a|e))))
0
0
1
0
not entailment
~((((x>c)|(x&e))>(~(~(x))>(a>u))))
(~((a&((x|e)>u)))&(u>c))
1
1
1
0
entailment
~((x|((x>(u>(u&a)))>~((x|e)))))
((e|u)|(~((~((c|c))|c))&(a|c)))
1
1
0
0
entailment
~((((x>c)|(x&e))>(~(~(x))>(a>u))))
((e|u)|(~((~((c|c))|c))&(a|c)))
0
1
1
0
not entailment
~((x|((x>(u>(u&a)))>~((x|e)))))
(~((a&((x|e)>u)))&(u>c))
0
1
0
0
not entailment
~((~(x)|(a&(e|u))))
(x|~(~((a>(c>~(u))))))
1
0
0
0
entailment
((((e|c)|(c>a))&(c>e))&e)
(u>((~(a)|a)&(~((e|e))>c)))
1
0
0
0
entailment
~((~(x)|(a&(e|u))))
(u>((~(a)|a)&(~((e|e))>c)))
0
0
0
0
not entailment
((((e|c)|(c>a))&(c>e))&e)
(x|~(~((a>(c>~(u))))))
0
1
0
0
not entailment
~((~(~((~((e&c))|a)))|(e>~(u))))
(c>(e|(~(a)&(~((c>c))|u))))
1
1
1
0
entailment
(c&~(((x>a)>a)))
(x>~(x))
1
1
1
1
entailment
~((~(~((~((e&c))|a)))|(e>~(u))))
(x>~(x))
0
1
0
0
not entailment
(c&~(((x>a)>a)))
(c>(e|(~(a)&(~((c>c))|u))))
0
0
0
0
not entailment
((~((x>a))|((e|x)|a))&(~(c)&u))
((a|c)>(a|x))
1
1
1
1
entailment
~((x&x))
((~(((~(e)>c)&a))|~(((e|c)|c)))|~(x))
1
0
0
0
entailment
((~((x>a))|((e|x)|a))&(~(c)&u))
((~(((~(e)>c)&a))|~(((e|c)|c)))|~(x))
0
0
1
0
not entailment
~((x&x))
((a|c)>(a|x))
0
0
0
0
not entailment
(x&((~(e)&(c&e))>c))
(~(((~(x)&~(c))>u))>(((c|a)&(e&c))&u))
1
0
0
0
entailment
~((a|((u|(~(u)&e))>(u|a))))
(u>((((~(x)>(a|x))|e)|x)>(a|a)))
1
0
0
0
entailment
(x&((~(e)&(c&e))>c))
(u>((((~(x)>(a|x))|e)|x)>(a|a)))
0
0
0
0
not entailment
~((a|((u|(~(u)&e))>(u|a))))
(~(((~(x)&~(c))>u))>(((c|a)&(e&c))&u))
0
0
0
0
not entailment
~((~(e)|(u>(c|x))))
(~(((x|u)>(a>e)))|~(~((c>e))))
1
0
0
0
entailment
~(((u&(u|u))>((u>(c|x))>x)))
((c|(x&c))&u)
1
1
1
1
entailment
~((~(e)|(u>(c|x))))
((c|(x&c))&u)
0
1
1
0
not entailment
~(((u&(u|u))>((u>(c|x))>x)))
(~(((x|u)>(a>e)))|~(~((c>e))))
0
0
0
0
not entailment
((x|((x|x)>(u>x)))>(((c&x)|c)&e))
((c|u)|(x|x))
1
1
1
1
entailment
(((u|c)|(x|e))&(e&a))
((x|((e|(a>u))>c))>a)
1
1
1
0
entailment
((x|((x|x)>(u>x)))>(((c&x)|c)&e))
((x|((e|(a>u))>c))>a)
0
1
0
0
not entailment
(((u|c)|(x|e))&(e&a))
((c|u)|(x|x))
0
1
1
1
not entailment
((~(~(c))&e)&(a&u))
((~(u)|(a>(x>e)))|c)
1
1
0
0
entailment
~((~((a>c))>((e&u)&a)))
~((~(~((e&(u&u))))&(x>e)))
1
0
0
0
entailment
((~(~(c))&e)&(a&u))
~((~(~((e&(u&u))))&(x>e)))
0
0
0
0
not entailment
~((~((a>c))>((e&u)&a)))
((~(u)|(a>(x>e)))|c)
0
1
0
0
not entailment
~(((c|(x&((x|a)>u)))|~((a&a))))
(e|~(~((c|a))))
1
1
0
0
entailment
~(~(((~((u>e))|u)&(x&~(e)))))
(e|((a>u)|x))
1
1
0
0
entailment
~(((c|(x&((x|a)>u)))|~((a&a))))
(e|((a>u)|x))
0
1
0
0
not entailment
~(~(((~((u>e))|u)&(x&~(e)))))
(e|~(~((c|a))))
0
1
0
0
not entailment
(x&e)
(c>(~(((e&e)|(x&x)))|e))
1
0
0
0
entailment
~((((x>~(x))|((x&c)&a))|u))
(((x|u)|(c&~((e|e))))>~((u&c)))
1
0
0
0
entailment
(x&e)
(((x|u)|(c&~((e|e))))>~((u&c)))
0
0
0
0
not entailment
~((((x>~(x))|((x&c)&a))|u))
(c>(~(((e&e)|(x&x)))|e))
0
1
0
0
not entailment
((c&e)|((~(c)|c)&((((x&e)&x)&~(x))&a)))
((x|a)|~(~(((u>(x|(a|(x>e))))>(e&c)))))
1
1
0
0
entailment
(u|a)
(~(a)>u)
1
0
1
1
entailment
((c&e)|((~(c)|c)&((((x&e)&x)&~(x))&a)))
(~(a)>u)
0
1
0
0
not entailment
(u|a)
((x|a)|~(~(((u>(x|(a|(x>e))))>(e&c)))))
0
0
0
0
not entailment
(e&(x|(~((x>a))&~((e>a)))))
((u&~(a))>~(~(e)))
1
1
0
0
entailment
~((~((c|(u&(x>c))))|(~(x)|~((c&x)))))
(((x&(c|e))&((x>c)|x))>c)
1
1
0
0
entailment
(e&(x|(~((x>a))&~((e>a)))))
(((x&(c|e))&((x>c)|x))>c)
0
1
0
0
not entailment
~((~((c|(u&(x>c))))|(~(x)|~((c&x)))))
((u&~(a))>~(~(e)))
0
1
0
0
not entailment
(~(~(~(~((a|x)))))>((e&c)&(x&e)))
(a>e)
1
1
1
1
entailment
~(x)
((x&(((~(e)>c)|a)>x))>(u|u))
1
0
0
0
entailment
(~(~(~(~((a|x)))))>((e&c)&(x&e)))
((x&(((~(e)>c)|a)>x))>(u|u))
0
1
0
0
not entailment
~(x)
(a>e)
0
1
0
0
not entailment
((e&e)&a)
((~(~((c|(e|a))))&(~(u)>~((u|u))))|e)
1
0
0
0
entailment
(((e>e)&~(~(u)))&~((a&(x&c))))
(x>((x&u)|u))
1
1
1
0
entailment
((e&e)&a)
(x>((x&u)|u))
0
0
0
0
not entailment
(((e>e)&~(~(u)))&~((a&(x&c))))
((~(~((c|(e|a))))&(~(u)>~((u|u))))|e)
0
0
1
0
not entailment
(c&(a&a))
(~(((e|a)>(a|u)))>~((c&~((x&c)))))
1
0
0
0
entailment
(c&(a>(a&x)))
((~(c)>~(~(x)))>(a>x))
1
0
1
0
entailment
(c&(a&a))
((~(c)>~(~(x)))>(a>x))
0
0
0
0
not entailment
(c&(a>(a&x)))
(~(((e|a)>(a|u)))>~((c&~((x&c)))))
0
0
0
0
not entailment
~((~((x&e))>~((u|u))))
(~(~(e))>(~(((a|x)>(e&x)))>(c>(x|u))))
1
0
0
0
entailment
(((x>a)&((c|c)|c))&~(x))
(((a&u)&~(x))|(a>(c&a)))
1
1
0
0
entailment
~((~((x&e))>~((u|u))))
(((a&u)&~(x))|(a>(c&a)))
0
1
0
0
not entailment
(((x>a)&((c|c)|c))&~(x))
(~(~(e))>(~(((a|x)>(e&x)))>(c>(x|u))))
0
0
0
0
not entailment
~((h|~(c)))
~(((h>(c&~(c)))>~((c&(c|c)))))
1
0
1
0
entailment
((h>c)>h)
((c|h)>(((c>c)&(~(h)&((c>h)|h)))|h))
1
0
1
0
entailment
~((h|~(c)))
((c|h)>(((c>c)&(~(h)&((c>h)|h)))|h))
0
0
1
0
not entailment
((h>c)>h)
~(((h>(c&~(c)))>~((c&(c|c)))))
0
0
1
0
not entailment