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
((~(s)&(~(h)&s))|(((~(s)&i)>s)&s))
((o>((i|h)|s))&(t>s))
1
1
0
0
entailment
((((s|(h|~((h|s))))&(s&i))>(h>(o|i)))>h)
(~(h)>(~(~(o))|h))
1
1
1
0
entailment
((~(s)&(~(h)&s))|(((~(s)&i)>s)&s))
(~(h)>(~(~(o))|h))
0
1
0
0
not entailment
((((s|(h|~((h|s))))&(s&i))>(h>(o|i)))>h)
((o>((i|h)|s))&(t>s))
0
1
0
0
not entailment
(((((t|o)&t)&s)&~(o))&~((o&(t>s))))
((((t&o)>s)&((t&i)|~(t)))>~((~(t)&o)))
1
0
0
0
entailment
~((~(i)|t))
((~(h)&s)|(t>o))
1
0
0
0
entailment
(((((t|o)&t)&s)&~(o))&~((o&(t>s))))
((~(h)&s)|(t>o))
0
1
0
0
not entailment
~((~(i)|t))
((((t&o)>s)&((t&i)|~(t)))>~((~(t)&o)))
0
0
0
0
not entailment
(((t&(s&(s|s)))&((~(s)&s)&(t|~(o))))|h)
(((t>((o|i)>o))|h)|~((~((o&~(t)))>s)))
1
1
0
0
entailment
~((((((o>o)|i)|(h&h))|(i&(t|o)))>h))
((i&s)|~((h&~(s))))
1
1
0
0
entailment
(((t&(s&(s|s)))&((~(s)&s)&(t|~(o))))|h)
((i&s)|~((h&~(s))))
0
1
0
0
not entailment
~((((((o>o)|i)|(h&h))|(i&(t|o)))>h))
(((t>((o|i)>o))|h)|~((~((o&~(t)))>s)))
0
0
0
0
not entailment
~((~(((n>s)>x))|~(~((h|x)))))
((c>n)|((h|x)|~(s)))
1
1
0
0
entailment
((~((~((x&s))>k))&s)|(n>h))
(n>(k>h))
1
1
1
1
entailment
~((~(((n>s)>x))|~(~((h|x)))))
(n>(k>h))
0
1
0
0
not entailment
((~((~((x&s))>k))&s)|(n>h))
((c>n)|((h|x)|~(s)))
0
1
0
0
not entailment
~(((n&((h>h)|(x&k)))|(((s>c)>s)>x)))
(n>(s&(h|h)))
1
1
1
1
entailment
~((c|~(((h|k)>n))))
(c>(~(~(~(~((x|n)))))|~((h>~(h)))))
1
0
0
0
entailment
~(((n&((h>h)|(x&k)))|(((s>c)>s)>x)))
(c>(~(~(~(~((x|n)))))|~((h>~(h)))))
0
0
1
0
not entailment
~((c|~(((h|k)>n))))
(n>(s&(h|h)))
0
1
0
0
not entailment
((h>(k>~(h)))&s)
(s|x)
1
1
0
0
entailment
((s|h)>~(((~(c)>~(h))&s)))
((((x>h)|k)>(s>((n&h)|h)))|(c&(c|s)))
1
0
0
0
entailment
((h>(k>~(h)))&s)
((((x>h)|k)>(s>((n&h)|h)))|(c&(c|s)))
0
0
0
0
not entailment
((s|h)>~(((~(c)>~(h))&s)))
(s|x)
0
1
0
0
not entailment
(((h&c)|~(n))&(~(h)&(x|~(c))))
~(~(((h&s)>~((k&x)))))
1
1
0
0
entailment
((h>c)&(s&(x>k)))
((x|(s|x))|(x&((c|(~(n)>c))|h)))
1
0
0
0
entailment
(((h&c)|~(n))&(~(h)&(x|~(c))))
((x|(s|x))|(x&((c|(~(n)>c))|h)))
0
1
0
0
not entailment
((h>c)&(s&(x>k)))
~(~(((h&s)>~((k&x)))))
0
0
1
0
not entailment
~((h|n))
((s&c)|(n>((~(x)&x)&s)))
1
0
0
0
entailment
~((x|s))
(c|(s>((c|c)&(s>n))))
1
0
0
0
entailment
~((h|n))
(c|(s>((c|c)&(s>n))))
0
0
0
0
not entailment
~((x|s))
((s&c)|(n>((~(x)&x)&s)))
0
0
0
0
not entailment
(h>n)
((k|(h>n))|(~(x)|n))
1
0
0
0
entailment
~(~(~(~(((c|(s>x))&x)))))
((c|(s|n))>((h|(c&s))>(k>x)))
1
1
0
0
entailment
(h>n)
((c|(s|n))>((h|(c&s))>(k>x)))
0
0
0
0
not entailment
~(~(~(~(((c|(s>x))&x)))))
((k|(h>n))|(~(x)|n))
0
1
0
0
not entailment
(~((n|~(s)))&((n|c)>(x>s)))
(s|~((k|h)))
1
1
0
0
entailment
~(~(((k>(k|n))&h)))
(x|h)
1
1
0
0
entailment
(~((n|~(s)))&((n|c)>(x>s)))
(x|h)
0
1
0
0
not entailment
~(~(((k>(k|n))&h)))
(s|~((k|h)))
0
1
0
0
not entailment
~((c|h))
~((n&h))
1
1
0
0
entailment
(~((k>(s&n)))&(s|(x&((n>c)|(k>x)))))
(~((k|((s|h)|((c&s)&(k&s)))))|((c>h)>k))
1
0
0
0
entailment
~((c|h))
(~((k|((s|h)|((c&s)&(k&s)))))|((c>h)>k))
0
0
0
0
not entailment
(~((k>(s&n)))&(s|(x&((n>c)|(k>x)))))
~((n&h))
0
1
0
0
not entailment
((((s>k)|s)&(s>c))>(c&(s&~(n))))
(~(k)>(s|n))
1
1
1
0
entailment
(h|(x&(((k&c)>(s|x))>(~(x)&(n>k)))))
(~(((((x|n)|h)|(x>(h&c)))&(n>x)))|(h|n))
1
0
1
0
entailment
((((s>k)|s)&(s>c))>(c&(s&~(n))))
(~(((((x|n)|h)|(x>(h&c)))&(n>x)))|(h|n))
0
0
0
0
not entailment
(h|(x&(((k&c)>(s|x))>(~(x)&(n>k)))))
(~(k)>(s|n))
0
1
1
0
not entailment
~(((k>x)|s))
~(~(((x>c)|~((s>n)))))
1
0
0
0
entailment
~(((s|k)>(((~(c)>c)|(x>~(n)))|s)))
(~(k)|~(~(x)))
1
1
1
0
entailment
~(((k>x)|s))
(~(k)|~(~(x)))
0
0
1
0
not entailment
~(((s|k)>(((~(c)>c)|(x>~(n)))|s)))
~(~(((x>c)|~((s>n)))))
0
1
1
0
not entailment
(((h&k)>(x|(n>s)))>(k&n))
((c>k)|h)
1
1
0
0
entailment
((k>k)&(x&(~(((n>s)|~(~(x))))|c)))
(x|((~((c&(k&c)))&(x|c))|(k&h)))
1
1
0
0
entailment
(((h&k)>(x|(n>s)))>(k&n))
(x|((~((c&(k&c)))&(x|c))|(k&h)))
0
0
0
0
not entailment
((k>k)&(x&(~(((n>s)|~(~(x))))|c)))
((c>k)|h)
0
1
0
0
not entailment
(((c>c)|c)>((n|h)&k))
(((x|~(c))|(~(h)>(c&k)))|~(n))
1
0
0
0
entailment
((x>(x&s))&(~(((x|h)>x))|(n&~(k))))
~(((~(c)&~((((h&k)&k)|h)))&k))
1
1
0
0
entailment
(((c>c)|c)>((n|h)&k))
~(((~(c)&~((((h&k)&k)|h)))&k))
0
0
1
0
not entailment
((x>(x&s))&(~(((x|h)>x))|(n&~(k))))
(((x|~(c))|(~(h)>(c&k)))|~(n))
0
1
0
0
not entailment
~(((n&k)>x))
(((x>k)&k)&(~(x)|k))
1
0
1
1
entailment
~(((c>(c&s))&(x>s)))
(~(s)|(h&((x&n)|((c|s)|(c>s)))))
1
0
0
0
entailment
~(((n&k)>x))
(~(s)|(h&((x&n)|((c|s)|(c>s)))))
0
0
0
0
not entailment
~(((c>(c&s))&(x>s)))
(((x>k)&k)&(~(x)|k))
0
1
0
0
not entailment
(((n|x)&(~(x)>(s>(s|(s|k)))))&~(h))
((((h>h)>((k&~(x))|~((h>h))))|h)>k)
1
1
1
0
entailment
((~(s)&n)&(((h&k)&(x|s))>((h>(x>c))>h)))
(~((k|~(~(~(s)))))>(~(h)&(c|x)))
1
1
1
0
entailment
(((n|x)&(~(x)>(s>(s|(s|k)))))&~(h))
(~((k|~(~(~(s)))))>(~(h)&(c|x)))
0
1
0
0
not entailment
((~(s)&n)&(((h&k)&(x|s))>((h>(x>c))>h)))
((((h>h)>((k&~(x))|~((h>h))))|h)>k)
0
1
1
0
not entailment
(h|h)
((c&x)|h)
1
0
0
0
entailment
(n&((h|((h&s)>s))>k))
~(~((x>k)))
1
1
0
0
entailment
(h|h)
~(~((x>k)))
0
0
0
0
not entailment
(n&((h|((h&s)>s))>k))
((c&x)|h)
0
1
0
0
not entailment
((o>o)>o)
((~(o)|d)>o)
1
0
0
0
entailment
(d&d)
~(~((~(o)|(o&(((d>o)&d)&(~(d)|d))))))
1
0
0
0
entailment
((o>o)>o)
~(~((~(o)|(o&(((d>o)&d)&(~(d)|d))))))
0
0
0
0
not entailment
(d&d)
((~(o)|d)>o)
0
0
0
0
not entailment
((d>o)&(o|o))
(((o|d)|(((o&d)|d)|~(~(~((d|d))))))&o)
1
0
1
0
entailment
((o|d)&d)
((d>o)>(d&((o>o)|d)))
1
0
1
0
entailment
((d>o)&(o|o))
((d>o)>(d&((o>o)|d)))
0
0
1
0
not entailment
((o|d)&d)
(((o|d)|(((o&d)|d)|~(~(~((d|d))))))&o)
0
0
1
0
not entailment
~((d|~((o|d))))
(((~(o)>~(o))&d)>((d&d)>~((o>o))))
1
0
1
0
entailment
(~((~(((o>(d>~(o)))|d))|~(d)))&(d&d))
(~(~(d))&(d|o))
1
1
1
0
entailment
~((d|~((o|d))))
(~(~(d))&(d|o))
0
1
1
1
not entailment
(~((~(((o>(d>~(o)))|d))|~(d)))&(d&d))
(((~(o)>~(o))&d)>((d&d)>~((o>o))))
0
1
1
0
not entailment
(d&d)
(((~((d|o))|o)|(o|(o&(o>d))))>o)
1
0
0
0
entailment
~((~((o&d))>(~(o)>(d|d))))
(~(((d>d)>~(d)))>(~(d)|((d&o)&(d>d))))
1
0
1
0
entailment
(d&d)
(~(((d>d)>~(d)))>(~(d)|((d&o)&(d>d))))
0
0
0
0
not entailment
~((~((o&d))>(~(o)>(d|d))))
(((~((d|o))|o)|(o|(o&(o>d))))>o)
0
0
1
0
not entailment
~((d&(((d|d)|((o|o)>o))|(d|d))))
((o|((d|d)>o))&((o&(d&d))|(o|(o>o))))
1
0
1
0
entailment
(d&(o|d))
(d|(o>(~((o&d))&(d&~(((d|d)>d))))))
1
0
1
0
entailment
~((d&(((d|d)|((o|o)>o))|(d|d))))
(d|(o>(~((o&d))&(d&~(((d|d)>d))))))
0
0
1
0
not entailment
(d&(o|d))
((o|((d|d)>o))&((o&(d&d))|(o|(o>o))))
0
0
1
0
not entailment
(((d|(d>d))|d)>(d&((o&o)|(o>o))))
((~((o|((o|d)>d)))|(o>d))|d)
1
1
1
1
entailment
~((~((~(d)>d))>d))
(d>(o&(((d>(o>o))>o)&(d&o))))
1
0
0
0
entailment
(((d|(d>d))|d)>(d&((o&o)|(o>o))))
(d>(o&(((d>(o>o))>o)&(d&o))))
0
1
1
1
not entailment
~((~((~(d)>d))>d))
((~((o|((o|d)>d)))|(o>d))|d)
0
0
0
0
not entailment
~((~(d)>(o|((d>o)&d))))
(((o>(d>o))|d)>~(d))
1
1
1
0
entailment
((((d|d)&(o&(~(d)|o)))>d)>(d|d))
(((o&(o|d))|~(o))>d)
1
1
1
0
entailment
~((~(d)>(o|((d>o)&d))))
(((o&(o|d))|~(o))>d)
0
1
1
0
not entailment
((((d|d)&(o&(~(d)|o)))>d)>(d|d))
(((o>(d>o))|d)>~(d))
0
1
1
0
not entailment