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>u))
(((c>(x>u))&(n|c))>(t|((((c&c)&x)|u)|t)))
0
0
0
0
not entailment
(~(~((((n|u)&(n|n))>~(x))))&(x&u))
(~((x&t))|~(~((n|u))))
1
1
0
0
entailment
(((t|n)&(x&(n>c)))&(t>(x>~(n))))
((~(n)&t)|(((c>(~(x)>v))|c)>c))
1
1
0
0
entailment
(~(~((((n|u)&(n|n))>~(x))))&(x&u))
((~(n)&t)|(((c>(~(x)>v))|c)>c))
0
1
0
0
not entailment
(((t|n)&(x&(n>c)))&(t>(x>~(n))))
(~((x&t))|~(~((n|u))))
0
1
0
0
not entailment
~((t|~(~((n&v)))))
(((~((n|(x|c)))&t)&~(u))>x)
1
0
0
0
entailment
(~(~((((x&(v|(u&t)))>(t&u))>t)))&v)
(u|v)
1
1
1
1
entailment
~((t|~(~((n&v)))))
(u|v)
0
1
0
0
not entailment
(~(~((((x&(v|(u&t)))>(t&u))>t)))&v)
(((~((n|(x|c)))&t)&~(u))>x)
0
1
0
0
not entailment
((c>(x>x))&~((~((((n&u)&x)|u))>u)))
((u&v)>(((n&n)>~((t&v)))&v))
1
1
0
0
entailment
((u&t)|((u>~(t))>u))
(((u&u)>n)>(~(~((~(u)&t)))|n))
1
0
0
0
entailment
((c>(x>x))&~((~((((n&u)&x)|u))>u)))
(((u&u)>n)>(~(~((~(u)&t)))|n))
0
1
0
0
not entailment
((u&t)|((u>~(t))>u))
((u&v)>(((n&n)>~((t&v)))&v))
0
0
0
0
not entailment
~((n>((c>x)|(u>t))))
(c&c)
1
1
1
1
entailment
~((u>n))
~(((v>v)&(n&~(v))))
1
0
0
0
entailment
~((n>((c>x)|(u>t))))
~(((v>v)&(n&~(v))))
0
1
0
0
not entailment
~((u>n))
(c&c)
0
1
0
0
not entailment
(u|x)
~((~((~(u)>x))&(~(v)|~((~(x)>v)))))
1
0
0
0
entailment
(((x>~((c>t)))|t)&~(c))
(c>(t>u))
1
1
0
0
entailment
(u|x)
(c>(t>u))
0
0
0
0
not entailment
(((x>~((c>t)))|t)&~(c))
~((~((~(u)>x))&(~(v)|~((~(x)>v)))))
0
0
0
0
not entailment
~((~((u|((t>c)>(u|t))))|~(u)))
((v|t)>((x|~(v))>(x>(u|(n&t)))))
1
1
0
0
entailment
((t>(x&(u&c)))&n)
(n>(t>c))
1
1
1
0
entailment
~((~((u|((t>c)>(u|t))))|~(u)))
(n>(t>c))
0
1
0
0
not entailment
((t>(x&(u&c)))&n)
((v|t)>((x|~(v))>(x>(u|(n&t)))))
0
0
0
0
not entailment
(n&~(t))
(((n|v)>n)|u)
1
0
0
0
entailment
(((n&u)&~(((n>v)>(u&x))))|(v&x))
(((n>t)>v)&v)
1
1
0
0
entailment
(n&~(t))
(((n>t)>v)&v)
0
0
0
0
not entailment
(((n&u)&~(((n>v)>(u&x))))|(v&x))
(((n|v)>n)|u)
0
1
1
0
not entailment
(~(c)&~(x))
(((((c&x)>(u>t))>((v>n)>x))>(n|c))>(v>n))
1
0
0
0
entailment
~(((x&t)>(~(((~(x)&x)>~(v)))|u)))
(u>v)
1
1
1
0
entailment
(~(c)&~(x))
(u>v)
0
1
0
0
not entailment
~(((x&t)>(~(((~(x)&x)>~(v)))|u)))
(((((c&x)>(u>t))>((v>n)>x))>(n|c))>(v>n))
0
0
0
0
not entailment
~(((((u&c)&c)&(n>c))>x))
~(((c>(u>c))&~(((c&u)&u))))
1
0
1
0
entailment
(~(((~(n)>x)&(n&(t|(v>x)))))&(t|~(v)))
(u>(n>t))
1
1
0
0
entailment
~(((((u&c)&c)&(n>c))>x))
(u>(n>t))
0
1
0
0
not entailment
(~(((~(n)>x)&(n&(t|(v>x)))))&(t|~(v)))
~(((c>(u>c))&~(((c&u)&u))))
0
1
0
0
not entailment
(t&((s&(((v>(n>m))|r)>m))|s))
(~(~(((~(~(v))>((n|r)>s))|~(n))))>s)
1
0
1
0
entailment
~(~(((a|(h|n))&h)))
(((a|m)>(((n>n)|t)&h))|(n>(r|m)))
1
0
0
0
entailment
(t&((s&(((v>(n>m))|r)>m))|s))
(((a|m)>(((n>n)|t)&h))|(n>(r|m)))
0
0
0
0
not entailment
~(~(((a|(h|n))&h)))
(~(~(((~(~(v))>((n|r)>s))|~(n))))>s)
0
0
0
0
not entailment
(h&(v|v))
(((s&s)|(((v&m)|h)|(h|v)))|v)
1
0
0
0
entailment
~((~((t>(v&a)))>(n>~(((a&(a>n))|v)))))
(r|n)
1
1
0
0
entailment
(h&(v|v))
(r|n)
0
1
0
0
not entailment
~((~((t>(v&a)))>(n>~(((a&(a>n))|v)))))
(((s&s)|(((v&m)|h)|(h|v)))|v)
0
1
0
0
not entailment
(v&n)
((v>(n|t))|(n|~((m>((r&v)&(r|s))))))
1
0
0
0
entailment
(s&~(n))
~(~(~(~(s))))
1
0
1
1
entailment
(v&n)
~(~(~(~(s))))
0
0
0
0
not entailment
(s&~(n))
((v>(n|t))|(n|~((m>((r&v)&(r|s))))))
0
0
0
0
not entailment
(((s&t)&n)&(r&((v>h)&h)))
((v|v)>((r|r)>n))
1
1
1
0
entailment
~(((~(t)>a)|(t|~(((n>n)>((s>r)&v))))))
(((a|h)|(a>a))>(t>~(~(~((m&(h|m)))))))
1
1
0
0
entailment
(((s&t)&n)&(r&((v>h)&h)))
(((a|h)|(a>a))>(t>~(~(~((m&(h|m)))))))
0
0
0
0
not entailment
~(((~(t)>a)|(t|~(((n>n)>((s>r)&v))))))
((v|v)>((r|r)>n))
0
1
1
0
not entailment
~(((r>~(m))>n))
((n>v)|a)
1
1
0
0
entailment
(m&h)
(~(m)>v)
1
0
0
0
entailment
~(((r>~(m))>n))
(~(m)>v)
0
1
0
0
not entailment
(m&h)
((n>v)|a)
0
0
0
0
not entailment
~((((m&~(n))&h)>(r&(h&t))))
(((h>v)|(h>s))|(m|s))
1
1
0
0
entailment
(n&((~(s)&t)>a))
(((h>a)&(a>t))>((n|a)>n))
1
0
0
0
entailment
~((((m&~(n))&h)>(r&(h&t))))
(((h>a)&(a>t))>((n|a)>n))
0
1
0
0
not entailment
(n&((~(s)&t)>a))
(((h>v)|(h>s))|(m|s))
0
0
0
0
not entailment
(((a&(t|t))|t)&(s|h))
~((r&(~((t|m))&(~((t|(v&h)))&r))))
1
0
0
0
entailment
((a>~((h&m)))&n)
((~((a&n))|(s>(v|m)))>((m|r)>n))
1
0
0
0
entailment
(((a&(t|t))|t)&(s|h))
((~((a&n))|(s>(v|m)))>((m|r)>n))
0
0
0
0
not entailment
((a>~((h&m)))&n)
~((r&(~((t|m))&(~((t|(v&h)))&r))))
0
0
0
0
not entailment
((~((~(m)>a))|(s>s))&(n&~((v&(n|m)))))
(m|(n&~(m)))
1
1
1
0
entailment
((a>s)&((s|s)&(a>(((h|h)|a)|h))))
(~(s)>~((~(v)>(~(h)|a))))
1
1
0
0
entailment
((~((~(m)>a))|(s>s))&(n&~((v&(n|m)))))
(~(s)>~((~(v)>(~(h)|a))))
0
1
0
0
not entailment
((a>s)&((s|s)&(a>(((h|h)|a)|h))))
(m|(n&~(m)))
0
1
0
0
not entailment
((t&((a&(r>((t|(a>r))>r)))&n))&s)
(t|t)
1
1
1
1
entailment
~((s>a))
(((h|n)>r)>~(a))
1
0
0
0
entailment
((t&((a&(r>((t|(a>r))>r)))&n))&s)
(((h|n)>r)>~(a))
0
1
0
0
not entailment
~((s>a))
(t|t)
0
1
0
0
not entailment
(v&t)
(t|(t&s))
1
0
0
0
entailment
((h>(~((t>h))>(v|s)))>s)
((h>(m>(v&t)))>(m|s))
1
1
0
0
entailment
(v&t)
((h>(m>(v&t)))>(m|s))
0
0
0
0
not entailment
((h>(~((t>h))>(v|s)))>s)
(t|(t&s))
0
1
1
1
not entailment
((~(~((t|a)))|r)&s)
((~(~(s))|(~((t>(t&n)))&n))|v)
1
0
0
0
entailment
~((r&r))
(((t>m)>((~(r)|n)&r))>~((m&m)))
1
0
0
0
entailment
((~(~((t|a)))|r)&s)
(((t>m)>((~(r)|n)&r))>~((m&m)))
0
0
0
0
not entailment
~((r&r))
((~(~(s))|(~((t>(t&n)))&n))|v)
0
0
0
0
not entailment
~((~(~((~(a)|v)))|~(h)))
((v>s)|(n|t))
1
1
0
0
entailment
(~((n|t))|~(n))
(~(~(n))>(t|(r>v)))
1
0
0
0
entailment
~((~(~((~(a)|v)))|~(h)))
(~(~(n))>(t|(r>v)))
0
1
0
0
not entailment
(~((n|t))|~(n))
((v>s)|(n|t))
0
1
0
0
not entailment
(s&~((n|(m|r))))
((~(((v>(a|~((r|a))))|(r&m)))|s)|h)
1
0
0
0
entailment
~(((h|v)|((h|n)|a)))
(h>r)
1
1
0
0
entailment
(s&~((n|(m|r))))
(h>r)
0
1
0
0
not entailment
~(((h|v)|((h|n)|a)))
((~(((v>(a|~((r|a))))|(r&m)))|s)|h)
0
0
0
0
not entailment
(~(((a>v)|(n&r)))|(~(((t>m)>(n>n)))&m))
(((h&v)>h)>(~(r)|(((v&(t&s))|s)|a)))
1
1
0
0
entailment
(n&~(((~(~(s))&a)|m)))
~(~(((s&t)>((t&(s&n))|~(t)))))
1
0
0
0
entailment
(~(((a>v)|(n&r)))|(~(((t>m)>(n>n)))&m))
~(~(((s&t)>((t&(s&n))|~(t)))))
0
1
0
0
not entailment
(n&~(((~(~(s))&a)|m)))
(((h&v)>h)>(~(r)|(((v&(t&s))|s)|a)))
0
0
0
0
not entailment
(t&(r&(r&n)))
((h>~(v))>(h|t))
1
0
0
0
entailment
(~(((r>m)|(h&v)))>(~(h)&h))
(h|((t&(r&(h>n)))>(m&(v|t))))
1
1
0
0
entailment
(t&(r&(r&n)))
(h|((t&(r&(h>n)))>(m&(v|t))))
0
0
0
0
not entailment
(~(((r>m)|(h&v)))>(~(h)&h))
((h>~(v))>(h|t))
0
1
0
0
not entailment
~(~(~((r|t))))
(r>n)
1
1
0
0
entailment
~((~(((a|n)>~(t)))>(n|(r&v))))
((((t>r)>(~(t)&v))|(a&r))|(s&((s|a)&r)))
1
0
0
0
entailment
~(~(~((r|t))))
((((t>r)>(~(t)&v))|(a&r))|(s&((s|a)&r)))
0
0
0
0
not entailment