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
(~((v&((((o&k)|k)|(k|x))|k)))&(v&p))
((x|q)>(~((~(o)|x))>(k|(k|x))))
0
1
0
0
not entailment
((k&o)&(k>(~(~((p&(x|p))))|((k|o)>o))))
~(((k|((p&x)&~((k&v))))|k))
0
1
0
0
not entailment
(~(~((o>(~(k)>v))))&p)
((p|(o>(v&o)))|(~(x)&(q|x)))
1
0
0
0
entailment
((k|~(o))>~((k&k)))
((k>(o>q))|x)
1
1
0
0
entailment
(~(~((o>(~(k)>v))))&p)
((k>(o>q))|x)
0
1
0
0
not entailment
((k|~(o))>~((k&k)))
((p|(o>(v&o)))|(~(x)&(q|x)))
0
0
0
0
not entailment
((((v>t)>t)|t)&t)
(((n&u)|(u&v))|t)
1
1
0
0
entailment
((((t>n)|t)>v)&v)
(v&v)
1
1
1
1
entailment
((((v>t)>t)|t)&t)
(v&v)
0
1
1
1
not entailment
((((t>n)|t)>v)&v)
(((n&u)|(u&v))|t)
0
1
0
0
not entailment
~(~(u))
(t>(v|u))
1
1
0
0
entailment
(((u>(((v&t)&v)|n))|v)&n)
((t|(v&u))|((n&n)&(n|n)))
1
1
1
0
entailment
~(~(u))
((t|(v&u))|((n&n)&(n|n)))
0
0
0
0
not entailment
(((u>(((v&t)&v)|n))|v)&n)
(t>(v|u))
0
1
1
0
not entailment
(v&v)
(((~(t)&u)|(v|(t>t)))&(((t|v)&n)>v))
1
0
0
0
entailment
~((u>((v&t)|(t>v))))
((n|(((u&n)>n)|v))&((t|t)|u))
1
0
0
0
entailment
(v&v)
((n|(((u&n)>n)|v))&((t|t)|u))
0
0
0
0
not entailment
~((u>((v&t)|(t>v))))
(((~(t)&u)|(v|(t>t)))&(((t|v)&n)>v))
0
0
0
0
not entailment
((u&(v>v))&(t|t))
((t|u)|u)
1
1
1
1
entailment
(((~((v|v))|n)&(n|(v|(t>u))))&((u|n)&n))
(u>n)
1
1
1
0
entailment
((u&(v>v))&(t|t))
(u>n)
0
1
0
0
not entailment
(((~((v|v))|n)&(n|(v|(t>u))))&((u|n)&n))
((t|u)|u)
0
1
1
0
not entailment
(~(t)>((v&v)|(~(u)&t)))
((v&v)|t)
1
1
1
1
entailment
(n&n)
((n|(((n&n)|t)|t))&(((u>u)&(t|n))>n))
1
0
0
0
entailment
(~(t)>((v&v)|(~(u)&t)))
((n|(((n&n)|t)|t))&(((u>u)&(t|n))>n))
0
0
0
0
not entailment
(n&n)
((v&v)|t)
0
0
0
0
not entailment
(((n|n)|n)&((~(n)>(n|t))&((t|t)&t)))
(~(((n>~(t))&((u>v)&t)))|(v&n))
1
1
0
0
entailment
~((u|((n&t)|v)))
~(u)
1
1
1
1
entailment
(((n|n)|n)&((~(n)>(n|t))&((t|t)&t)))
~(u)
0
1
0
0
not entailment
~((u|((n&t)|v)))
(~(((n>~(t))&((u>v)&t)))|(v&n))
0
0
1
0
not entailment
~((~((n>t))>((u&(t&u))&(u|(u|u)))))
~(~((((n|(t&~((n|v))))|(v|u))>n)))
1
1
0
0
entailment
~((((u>v)>u)&(t>v)))
((n&~(n))|(u>(u&t)))
1
1
0
0
entailment
~((~((n>t))>((u&(t&u))&(u|(u|u)))))
((n&~(n))|(u>(u&t)))
0
1
1
0
not entailment
~((((u>v)>u)&(t>v)))
~(~((((n|(t&~((n|v))))|(v|u))>n)))
0
0
0
0
not entailment
((u&~(u))|~(v))
((n>((u&v)>t))|(t&n))
1
0
0
0
entailment
((v&((t|v)|(v|(t&n))))|v)
((u&(v>(t&n)))>t)
1
1
0
0
entailment
((u&~(u))|~(v))
((u&(v>(t&n)))>t)
0
1
0
0
not entailment
((v&((t|v)|(v|(t&n))))|v)
((n>((u&v)>t))|(t&n))
0
1
0
0
not entailment
~(((u|n)|v))
((n>n)&~(((u&v)&u)))
1
0
1
0
entailment
~(~(((u|u)&(t&(v>u)))))
(((t&~((n&t)))>(u>u))>((u|t)|v))
1
0
0
0
entailment
~(((u|n)|v))
(((t&~((n&t)))>(u>u))>((u|t)|v))
0
0
0
0
not entailment
~(~(((u|u)&(t&(v>u)))))
((n>n)&~(((u&v)&u)))
0
1
0
0
not entailment
~(~(~(((~(t)&t)|(v>~(t))))))
((v&(t|~(v)))|~((v|u)))
1
1
0
0
entailment
~(u)
(~(t)|(u>n))
1
0
0
0
entailment
~(~(~(((~(t)&t)|(v>~(t))))))
(~(t)|(u>n))
0
1
0
0
not entailment
~(u)
((v&(t|~(v)))|~((v|u)))
0
0
0
0
not entailment
~((~((t&t))&u))
(n|(~((((~(n)&v)>v)&u))|((t|n)|v)))
1
0
0
0
entailment
~((t|v))
(v>(~(u)>(n&u)))
1
0
0
0
entailment
~((~((t&t))&u))
(v>(~(u)>(n&u)))
0
1
0
0
not entailment
~((t|v))
(n|(~((((~(n)&v)>v)&u))|((t|n)|v)))
0
0
0
0
not entailment
((u|v)&t)
(~((v|(~(v)>~(~((v&((v>t)|t)))))))>u)
1
0
1
0
entailment
~((t&~((t&v))))
(~(u)|~((u&(u&~(((t>v)&u))))))
1
0
0
0
entailment
((u|v)&t)
(~(u)|~((u&(u&~(((t>v)&u))))))
0
0
1
0
not entailment
~((t&~((t&v))))
(~((v|(~(v)>~(~((v&((v>t)|t)))))))>u)
0
0
0
0
not entailment
(u&v)
(t>v)
1
1
0
0
entailment
~((~(u)>(t&(((v&(v|u))>~((v>t)))&v))))
((u|((u&v)&(t|(n|n))))>((u&t)&((n|u)&u)))
1
1
0
0
entailment
(u&v)
((u|((u&v)&(t|(n|n))))>((u&t)&((n|u)&u)))
0
0
0
0
not entailment
~((~(u)>(t&(((v&(v|u))>~((v>t)))&v))))
(t>v)
0
1
1
1
not entailment
~((u|(n|(t|n))))
((u&u)|~(t))
1
1
1
0
entailment
((t>n)>t)
(~(~(~(t)))>~(((v>~(t))|u)))
1
0
0
0
entailment
~((u|(n|(t|n))))
(~(~(~(t)))>~(((v>~(t))|u)))
0
0
0
0
not entailment
((t>n)>t)
((u&u)|~(t))
0
0
0
0
not entailment
~((u>(n|(t>(v&u)))))
((v|t)|~((v>(t|n))))
1
1
1
0
entailment
~(((n&(n>u))>~((~(n)>u))))
(n&((n>v)>(~(~((t>t)))>v)))
1
1
0
0
entailment
~((u>(n|(t>(v&u)))))
(n&((n>v)>(~(~((t>t)))>v)))
0
0
1
0
not entailment
~(((n&(n>u))>~((~(n)>u))))
((v|t)|~((v>(t|n))))
0
1
0
0
not entailment
((n>(n|n))&((n|(v&(t&t)))&v))
((((u|(n>t))&((v&n)>v))>(u|n))>v)
1
0
0
0
entailment
(t&((n|(t>v))|((v|v)|~(~(~((t&u)))))))
((u|(((~(u)|t)&t)&((u>n)>(n|t))))&t)
1
1
1
0
entailment
((n>(n|n))&((n|(v&(t&t)))&v))
((u|(((~(u)|t)&t)&((u>n)>(n|t))))&t)
0
0
0
0
not entailment
(t&((n|(t>v))|((v|v)|~(~(~((t&u)))))))
((((u|(n>t))&((v&n)>v))>(u|n))>v)
0
1
1
0
not entailment
~((s|((s|(q&y))|(w>y))))
(s>((a>e)&(e&~((w&e)))))
1
1
0
0
entailment
~((a|((w|y)>(i|a))))
((~(i)|q)&(~(a)&((s>e)|s)))
1
0
0
0
entailment
~((s|((s|(q&y))|(w>y))))
((~(i)|q)&(~(a)&((s>e)|s)))
0
0
0
0
not entailment
~((a|((w|y)>(i|a))))
(s>((a>e)&(e&~((w&e)))))
0
0
0
0
not entailment
(a&(a>e))
((e|(((i>(~(i)>i))&(q&y))&q))>(a&a))
1
0
0
0
entailment
~(q)
~((q&e))
1
0
0
0
entailment
(a&(a>e))
~((q&e))
0
1
0
0
not entailment
~(q)
((e|(((i>(~(i)>i))&(q&y))&q))>(a&a))
0
0
0
0
not entailment
~((a|((y|w)>q)))
((q>e)|a)
1
1
0
0
entailment
~(w)
(((~(i)>a)|e)|(~(w)|(~((a|q))>a)))
1
0
0
0
entailment
~((a|((y|w)>q)))
(((~(i)>a)|e)|(~(w)|(~((a|q))>a)))
0
0
0
0
not entailment
~(w)
((q>e)|a)
0
0
0
0
not entailment
~(~(((y|a)&((~(y)&w)&(a>(y>e))))))
(s>((y>q)|~(e)))
1
1
0
0
entailment
~((~((a>q))>(~(e)|~(i))))
((s>e)&(((y>w)>(a&i))|(w|w)))
1
1
0
0
entailment
~(~(((y|a)&((~(y)&w)&(a>(y>e))))))
((s>e)&(((y>w)>(a&i))|(w|w)))
0
1
0
0
not entailment
~((~((a>q))>(~(e)|~(i))))
(s>((y>q)|~(e)))
0
1
0
0
not entailment
~(~((((a&~(i))|q)&(y|q))))
(((i&(w&a))|(q&q))|~(i))
1
1
0
0
entailment
(w>(~((q>a))&s))
~(~((((w|s)&i)>(s&s))))
1
0
0
0
entailment
~(~((((a&~(i))|q)&(y|q))))
~(~((((w|s)&i)>(s&s))))
0
1
0
0
not entailment
(w>(~((q>a))&s))
(((i&(w&a))|(q&q))|~(i))
0
0
0
0
not entailment
(w&q)
(((i>w)>e)|(w|~((((i&i)>(s&i))&s))))
1
0
0
0
entailment
~((((q&e)>q)>(~(a)>i)))
~((w&i))
1
1
0
0
entailment
(w&q)
~((w&i))
0
0
0
0
not entailment
~((((q&e)>q)>(~(a)>i)))
(((i>w)>e)|(w|~((((i&i)>(s&i))&s))))
0
0
0
0
not entailment
~((y>~(q)))
((e&((s>y)>i))|q)
1
0
0
0
entailment
~((~(q)>w))
(((s&i)|s)|~((~(~(((q|w)&(s>i))))&e)))
1
0
0
0
entailment
~((y>~(q)))
(((s&i)|s)|~((~(~(((q|w)&(s>i))))&e)))
0
0
0
0
not entailment
~((~(q)>w))
((e&((s>y)>i))|q)
0
0
0
0
not entailment
(~(i)&((i>(q>q))>(w&q)))
~((i&~((((q&w)&a)&i))))
1
1
0
0
entailment
((i&((e|a)>(i>a)))&(~(a)|q))
(a|~(e))
1
1
1
1
entailment