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
((l&(k>l))&~(o))
(~(o)&((q|o)|~(o)))
1
0
0
0
entailment
((l&k)&q)
(q|(i&(l&k)))
1
0
0
0
entailment
((l&(k>l))&~(o))
(q|(i&(l&k)))
0
1
0
0
not entailment
((l&k)&q)
(~(o)&((q|o)|~(o)))
0
0
0
0
not entailment
~(((~(q)>~(i))>(o|(q&o))))
~(~(((l&(q&o))>(q&k))))
1
1
0
0
entailment
((((l&q)>i)>(q&(~((o|i))|~(q))))&(i>i))
((l>((l|k)|~(~(~((l&(k|q)))))))>(i|q))
1
1
0
0
entailment
~(((~(q)>~(i))>(o|(q&o))))
((l>((l|k)|~(~(~((l&(k|q)))))))>(i|q))
0
0
0
0
not entailment
((((l&q)>i)>(q&(~((o|i))|~(q))))&(i>i))
~(~(((l&(q&o))>(q&k))))
0
1
0
0
not entailment
~(((i|i)>(~(o)>k)))
(~(((k&(q|k))&l))|q)
1
1
0
0
entailment
~(i)
(~(((i|~(l))|i))|~((i|(o&l))))
1
0
0
0
entailment
~(((i|i)>(~(o)>k)))
(~(((i|~(l))|i))|~((i|(o&l))))
0
0
0
0
not entailment
~(i)
(~(((k&(q|k))&l))|q)
0
0
0
0
not entailment
(k&o)
(~(~(~(~(q))))>((o>o)>(i|o)))
1
0
0
0
entailment
((l>(i&i))>q)
((((~(i)&l)&~(o))|(q|~(o)))|l)
1
0
0
0
entailment
(k&o)
((((~(i)&l)&~(o))|(q|~(o)))|l)
0
0
0
0
not entailment
((l>(i&i))>q)
(~(~(~(~(q))))>((o>o)>(i|o)))
0
0
0
0
not entailment
(((~(~(o))|q)>(k>i))&(q&i))
~((~((i|(((i|k)>o)|l)))&~(o)))
1
0
0
0
entailment
((~(q)|q)&k)
(k|o)
1
1
0
0
entailment
(((~(~(o))|q)>(k>i))&(q&i))
(k|o)
0
1
1
0
not entailment
((~(q)|q)&k)
~((~((i|(((i|k)>o)|l)))&~(o)))
0
0
0
0
not entailment
~((n|n))
~(~(~((~(~(~((x>s))))&n))))
1
0
0
0
entailment
(~(((e|n)|(~(~((v|n)))&(x|s))))|~(s))
(~(~((~(v)|(x|~((s|s))))))|(n|n))
1
1
1
0
entailment
~((n|n))
(~(~((~(v)|(x|~((s|s))))))|(n|n))
0
0
0
0
not entailment
(~(((e|n)|(~(~((v|n)))&(x|s))))|~(s))
~(~(~((~(~(~((x>s))))&n))))
0
1
1
0
not entailment
(n&(n&~((x&(n|s)))))
(v|n)
1
1
0
0
entailment
((x&(i&e))&((v&v)|(x|(n>v))))
(~(v)>~(~((s>x))))
1
1
0
0
entailment
(n&(n&~((x&(n|s)))))
(~(v)>~(~((s>x))))
0
1
0
0
not entailment
((x&(i&e))&((v&v)|(x|(n>v))))
(v|n)
0
1
1
0
not entailment
~(((v|n)>e))
(e>(v&x))
1
1
0
0
entailment
~((~((e&n))>i))
~(~((((v>~(v))&i)>(i>((e|e)&e)))))
1
0
0
0
entailment
~(((v|n)>e))
~(~((((v>~(v))&i)>(i>((e|e)&e)))))
0
0
0
0
not entailment
~((~((e&n))>i))
(e>(v&x))
0
1
0
0
not entailment
(i&(n|x))
((~(~(n))&x)|(~(i)>s))
1
0
0
0
entailment
~(((i>n)>(n|s)))
~((~(n)>~(~((n&(e>x))))))
1
0
0
0
entailment
(i&(n|x))
~((~(n)>~(~((n&(e>x))))))
0
0
0
0
not entailment
~(((i>n)>(n|s)))
((~(~(n))&x)|(~(i)>s))
0
0
0
0
not entailment
~((~(~(s))|((e&n)&((x|i)>s))))
(~((s|x))|(v>((s&e)>(i|i))))
1
1
0
0
entailment
~(((n&x)|(n|~(e))))
(~((i|v))|e)
1
1
0
0
entailment
~((~(~(s))|((e&n)&((x|i)>s))))
(~((i|v))|e)
0
1
0
0
not entailment
~(((n&x)|(n|~(e))))
(~((s|x))|(v>((s&e)>(i|i))))
0
0
0
0
not entailment
~(((n|v)>(i|~((v&e)))))
~(~(((v>x)>x)))
1
1
0
0
entailment
~(((~((i&n))|(s&x))|s))
(((((((e>i)|s)>n)&(i|i))|e)>~(s))>(i&n))
1
0
0
0
entailment
~(((n|v)>(i|~((v&e)))))
(((((((e>i)|s)>n)&(i|i))|e)>~(s))>(i&n))
0
0
0
0
not entailment
~(((~((i&n))|(s&x))|s))
~(~(((v>x)>x)))
0
1
0
0
not entailment
((n&x)&(~(e)|x))
(((n|x)|v)|~(~((~(n)>i))))
1
0
0
0
entailment
~((((~(i)>i)|(i|e))>(i&((x&(e|s))>i))))
(e|(e&i))
1
1
1
1
entailment
((n&x)&(~(e)|x))
(e|(e&i))
0
1
0
0
not entailment
~((((~(i)>i)|(i|e))>(i&((x&(e|s))>i))))
(((n|x)|v)|~(~((~(n)>i))))
0
1
0
0
not entailment
(((n&x)|s)&((i>s)|~(s)))
(s|((s>x)&~((x>(s&((v&v)&(i&s)))))))
1
0
0
0
entailment
~((((n|i)|i)|((n|v)>~(v))))
((s|(i&~(x)))>((((s>e)|v)>x)>~(~(x))))
1
0
0
0
entailment
(((n&x)|s)&((i>s)|~(s)))
((s|(i&~(x)))>((((s>e)|v)>x)>~(~(x))))
0
0
0
0
not entailment
~((((n|i)|i)|((n|v)>~(v))))
(s|((s>x)&~((x>(s&((v&v)&(i&s)))))))
0
0
0
0
not entailment
((e|n)>~(~(~((s>(s&(i&(e|n))))))))
~(~((i>((e>s)|n))))
1
1
1
0
entailment
((~(((x&v)|x))|s)&(~(e)>n))
(~(x)|((s|s)|v))
1
1
1
0
entailment
((e|n)>~(~(~((s>(s&(i&(e|n))))))))
(~(x)|((s|s)|v))
0
1
0
0
not entailment
((~(((x&v)|x))|s)&(~(e)>n))
~(~((i>((e>s)|n))))
0
1
0
0
not entailment
(((n>v)&(e&x))&n)
(v|(~((i>n))|n))
1
1
0
0
entailment
~(((v|~((s>x)))|(n|v)))
~(((n&s)&i))
1
1
0
0
entailment
(((n>v)&(e&x))&n)
~(((n&s)&i))
0
1
0
0
not entailment
~(((v|~((s>x)))|(n|v)))
(v|(~((i>n))|n))
0
1
0
0
not entailment
(s&(~(n)&(e&(x|((i|x)&(e>i))))))
((i&e)|(((x>(i|i))>v)&(x>(x|s))))
1
1
0
0
entailment
((~(e)|~(x))&~((~(((s&s)>i))>(x&n))))
((i>x)|n)
1
1
1
0
entailment
(s&(~(n)&(e&(x|((i|x)&(e>i))))))
((i>x)|n)
0
1
1
0
not entailment
((~(e)|~(x))&~((~(((s&s)>i))>(x&n))))
((i&e)|(((x>(i|i))>v)&(x>(x|s))))
0
1
0
0
not entailment
(s&v)
((~((~(x)>i))|~(v))>~(((~(e)|x)&e)))
1
0
0
0
entailment
(((v|x)&e)&(((i|x)&e)&(i&i)))
(i&((~(v)|~((s>n)))|((i>(s|i))&i)))
1
0
0
0
entailment
(s&v)
(i&((~(v)|~((s>n)))|((i>(s|i))&i)))
0
0
0
0
not entailment
(((v|x)&e)&(((i|x)&e)&(i&i)))
((~((~(x)>i))|~(v))>~(((~(e)|x)&e)))
0
0
1
0
not entailment
(v&(i|i))
((v>(s|s))|(i|n))
1
0
0
0
entailment
((((e|s)&~(x))&v)&(~(x)|x))
~((((x|(x&n))&(~(i)>v))|x))
1
1
0
0
entailment
(v&(i|i))
~((((x|(x&n))&(~(i)>v))|x))
0
0
0
0
not entailment
((((e|s)&~(x))&v)&(~(x)|x))
((v>(s|s))|(i|n))
0
1
0
0
not entailment
~(((n>v)|(s|x)))
(((v&(s>~(e)))|(s>n))|n)
1
0
0
0
entailment
((e>s)&((~(e)&x)&(~((e>x))>(n>x))))
(x|(x|(v|v)))
1
1
0
0
entailment
~(((n>v)|(s|x)))
(x|(x|(v|v)))
0
1
1
0
not entailment
((e>s)&((~(e)&x)&(~((e>x))>(n>x))))
(((v&(s>~(e)))|(s>n))|n)
0
1
0
0
not entailment
(n|((e&n)&~(((s&(s|e))>v))))
((n&((~(v)&i)>i))|(x>((s|i)|n)))
1
0
0
0
entailment
(x&~((~(i)>v)))
(v>(i>s))
1
1
0
0
entailment
(n|((e&n)&~(((s&(s|e))>v))))
(v>(i>s))
0
1
0
0
not entailment
(x&~((~(i)>v)))
((n&((~(v)&i)>i))|(x>((s|i)|n)))
0
0
0
0
not entailment
~(~(~((u>z))))
((((t>h)&t)|z)>u)
1
1
0
0
entailment
((c&c)&(b&(u>(z>b))))
(z|((t&c)>((~(~(((d>h)&d)))|b)|(h|d))))
1
0
0
0
entailment
~(~(~((u>z))))
(z|((t&c)>((~(~(((d>h)&d)))|b)|(h|d))))
0
0
0
0
not entailment
((c&c)&(b&(u>(z>b))))
((((t>h)&t)|z)>u)
0
1
0
0
not entailment
~(~((t&u)))
((t&t)|b)
1
1
0
0
entailment
~((h>(~((c>(d&t)))>((~(u)|(b|h))&u))))
((~(b)>((z|(u&h))&(b>t)))|c)
1
1
0
0
entailment
~(~((t&u)))
((~(b)>((z|(u&h))&(b>t)))|c)
0
0
0
0
not entailment
~((h>(~((c>(d&t)))>((~(u)|(b|h))&u))))
((t&t)|b)
0
1
1
0
not entailment
(d&b)
(c|~((~((d&(b|m)))|~(((m|c)>m)))))
1
0
0
0
entailment
((d>(~(u)|d))>(z&m))
((~((d&u))|(~(z)|t))|m)
1
0
0
0
entailment
(d&b)
((~((d&u))|(~(z)|t))|m)
0
0
0
0
not entailment
((d>(~(u)|d))>(z&m))
(c|~((~((d&(b|m)))|~(((m|c)>m)))))
0
0
0
0
not entailment
((~(d)&b)&(h&t))
(((h>d)&((b&~(d))&z))>u)
1
0
0
0
entailment
(z&(~((m>t))|m))
(~(((b&t)>((h&u)>(b|~(z)))))|(m|c))
1
0
0
0
entailment
((~(d)&b)&(h&t))
(~(((b&t)>((h&u)>(b|~(z)))))|(m|c))
0
0
0
0
not entailment
(z&(~((m>t))|m))
(((h>d)&((b&~(d))&z))>u)
0
0
0
0
not entailment
((t&(((m&c)>~(t))&(h&(d&u))))&m)
(m>(t|t))
1
1
1
1
entailment
((((t>d)&((u>d)>b))&(m&z))&((h|c)|c))
(z>(t>((u>b)&b)))
1
1
1
0
entailment
((t&(((m&c)>~(t))&(h&(d&u))))&m)
(z>(t>((u>b)&b)))
0
1
0
0
not entailment
((((t>d)&((u>d)>b))&(m&z))&((h|c)|c))
(m>(t|t))
0
1
1
0
not entailment