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
((v|n)&((v|(s|n))&((s&o)&n)))
(~((o|~((~(n)|n))))>n)
1
1
1
0
entailment
~(((n&s)|n))
(n>~(o))
1
1
0
0
entailment
((v|n)&((v|(s|n))&((s&o)&n)))
(n>~(o))
0
1
1
0
not entailment
~(((n&s)|n))
(~((o|~((~(n)|n))))>n)
0
0
0
0
not entailment
((o>o)&~(s))
((~((s&(s&v)))|n)|((~(o)&v)&(o>v)))
1
0
0
0
entailment
(s&((~(~(~(o)))>~(s))>((v|o)&o)))
((o>n)|(o>s))
1
1
0
0
entailment
((o>o)&~(s))
((o>n)|(o>s))
0
1
0
0
not entailment
(s&((~(~(~(o)))>~(s))>((v|o)&o)))
((~((s&(s&v)))|n)|((~(o)&v)&(o>v)))
0
1
0
0
not entailment
((n&(s&(o&(s>n))))&(v>(n|(s>(n|n)))))
(((n|s)>(s&o))&o)
1
1
1
0
entailment
~(((n&((s&~(n))>o))|n))
(n>~(v))
1
1
0
0
entailment
((n&(s&(o&(s>n))))&(v>(n|(s>(n|n)))))
(n>~(v))
0
1
1
0
not entailment
~(((n&((s&~(n))>o))|n))
(((n|s)>(s&o))&o)
0
1
1
0
not entailment
~((v&(n>n)))
(~(((n&v)>o))>(s&(v>v)))
1
0
0
0
entailment
(((o>s)|s)>~((v>o)))
(((o|n)&~(s))|((n|v)|o))
1
0
0
0
entailment
~((v&(n>n)))
(((o|n)&~(s))|((n|v)|o))
0
0
0
0
not entailment
(((o>s)|s)>~((v>o)))
(~(((n&v)>o))>(s&(v>v)))
0
0
0
0
not entailment
(((n&s)&n)&(n&s))
(n|o)
1
1
0
0
entailment
~(~(((n>~(n))|((o|o)&((v&o)&s)))))
((((n|n)&o)|(n&(o|(s&s))))>v)
1
1
1
0
entailment
(((n&s)&n)&(n&s))
((((n|n)&o)|(n&(o|(s&s))))>v)
0
0
0
0
not entailment
~(~(((n>~(n))|((o|o)&((v&o)&s)))))
(n|o)
0
1
1
0
not entailment
~((o|(((s>~(n))>s)|(v|n))))
(~(n)&~(((o>(s>n))>v)))
1
1
1
0
entailment
((~(~((n&((o>s)|o))))&v)&s)
(((s>(v|s))>(v>v))&v)
1
1
1
0
entailment
~((o|(((s>~(n))>s)|(v|n))))
(((s>(v|s))>(v>v))&v)
0
1
1
0
not entailment
((~(~((n&((o>s)|o))))&v)&s)
(~(n)&~(((o>(s>n))>v)))
0
1
1
0
not entailment
~(o)
(~(v)|~(o))
1
0
0
0
entailment
(n>v)
(~((n>o))>(s>v))
1
0
0
0
entailment
~(o)
(~((n>o))>(s>v))
0
0
0
0
not entailment
(n>v)
(~(v)|~(o))
0
0
0
0
not entailment
~((~(~(((v&~(n))|s)))|(~((v|n))>n)))
~((v&o))
1
1
0
0
entailment
(v|n)
((n>(s|s))>(n|v))
1
0
0
0
entailment
~((~(~(((v&~(n))|s)))|(~((v|n))>n)))
((n>(s|s))>(n|v))
0
1
1
0
not entailment
(v|n)
~((v&o))
0
0
0
0
not entailment
~(((v&o)>~((~((~(~(o))&v))>~(o)))))
((v>~(v))>s)
1
1
0
0
entailment
((o&~(~((n|o))))&(~((o>s))&(s|n)))
(~(~((n&(n|n))))&(v|o))
1
1
0
0
entailment
~(((v&o)>~((~((~(~(o))&v))>~(o)))))
(~(~((n&(n|n))))&(v|o))
0
1
0
0
not entailment
((o&~(~((n|o))))&(~((o>s))&(s|n)))
((v>~(v))>s)
0
1
0
0
not entailment
(((v|n)|v)&o)
(~(o)>~((~(o)&n)))
1
0
1
0
entailment
~(v)
(n|~(v))
1
0
0
0
entailment
(((v|n)|v)&o)
(n|~(v))
0
1
1
0
not entailment
~(v)
(~(o)>~((~(o)&n)))
0
0
0
0
not entailment
(~((v&o))&n)
((o|n)|(((n>~(~((n|n))))|v)>(s>o)))
1
0
0
0
entailment
~((n&(o|(s>(s|((s>n)>o))))))
((((n>(v&(o|~(s))))|s)&((n>s)|v))>(n>v))
1
0
0
0
entailment
(~((v&o))&n)
((((n>(v&(o|~(s))))|s)&((n>s)|v))>(n>v))
0
0
0
0
not entailment
~((n&(o|(s>(s|((s>n)>o))))))
((o|n)|(((n>~(~((n|n))))|v)>(s>o)))
0
0
0
0
not entailment
((~((o|((v>(n&s))|n)))&o)|o)
(n|o)
1
1
1
0
entailment
((v&s)&(~(~((s|n)))&~(o)))
((s&n)|v)
1
1
1
1
entailment
((~((o|((v>(n&s))|n)))&o)|o)
((s&n)|v)
0
1
1
0
not entailment
((v&s)&(~(~((s|n)))&~(o)))
(n|o)
0
1
1
0
not entailment
(~((n&v))&~((o>((s|s)&n))))
(n>(((o>n)>((o|n)&s))>~(o)))
1
1
1
0
entailment
((v&s)&s)
~((((s|o)&((n>n)|s))>~((o>s))))
1
0
0
0
entailment
(~((n&v))&~((o>((s|s)&n))))
~((((s|o)&((n>n)|s))>~((o>s))))
0
0
1
0
not entailment
((v&s)&s)
(n>(((o>n)>((o|n)&s))>~(o)))
0
0
0
0
not entailment
(d&(((q&q)>(~(d)&(d|~(d))))|(d&q)))
((d|~((d>q)))|(((q|q)|d)&(d|(q>d))))
1
1
1
1
entailment
((q>(q|~(d)))&(q|~((q>(q|q)))))
((d|q)&(q|q))
1
1
1
0
entailment
(d&(((q&q)>(~(d)&(d|~(d))))|(d&q)))
((d|q)&(q|q))
0
1
1
1
not entailment
((q>(q|~(d)))&(q|~((q>(q|q)))))
((d|~((d>q)))|(((q|q)|d)&(d|(q>d))))
0
0
1
0
not entailment
(((d>d)>q)|(~((q>d))|(q|d)))
(~((d&q))>(q|d))
1
1
1
1
entailment
(~(q)&~(d))
((~(d)|(~(((d|q)>d))|q))>~(((q|q)|d)))
1
0
1
0
entailment
(((d>d)>q)|(~((q>d))|(q|d)))
((~(d)|(~(((d|q)>d))|q))>~(((q|q)|d)))
0
0
1
0
not entailment
(~(q)&~(d))
(~((d&q))>(q|d))
0
0
1
0
not entailment
~((((d>q)&~(d))&q))
(((q|d)|(q&q))>(d|d))
1
1
1
0
entailment
(q|q)
((~((q&(d>q)))>q)|((q|q)|(q&~(q))))
1
0
0
0
entailment
~((((d>q)&~(d))&q))
((~((q&(d>q)))>q)|((q|q)|(q&~(q))))
0
0
1
0
not entailment
(q|q)
(((q|d)|(q&q))>(d|d))
0
0
0
0
not entailment
(d&d)
(~(~(~((d|q))))>~((d>d)))
1
0
0
0
entailment
(d>~(((q|q)>(d|d))))
((q>((d>q)>d))>(d>q))
1
1
1
1
entailment
(d&d)
((q>((d>q)>d))>(d>q))
0
0
0
0
not entailment
(d>~(((q|q)>(d|d))))
(~(~(~((d|q))))>~((d>d)))
0
0
1
0
not entailment
(q&d)
(q|~(~(d)))
1
0
1
1
entailment
~((q|(((q|(d>d))>q)&q)))
~(((d&q)&((d&((q>(d>d))&d))|d)))
1
0
1
1
entailment
(q&d)
~(((d&q)&((d&((q>(d>d))&d))|d)))
0
0
1
0
not entailment
~((q|(((q|(d>d))>q)&q)))
(q|~(~(d)))
0
1
1
1
not entailment
~(~((d&((((q>d)>d)|d)&(q|(d|q))))))
(~((~(~((q&(~(q)|q))))>d))>d)
1
1
1
0
entailment
(~(q)>(~(~((q>((q>d)|d))))&q))
((q>d)>((q>d)>q))
1
1
1
0
entailment
~(~((d&((((q>d)>d)|d)&(q|(d|q))))))
((q>d)>((q>d)>q))
0
1
1
1
not entailment
(~(q)>(~(~((q>((q>d)|d))))&q))
(~((~(~((q&(~(q)|q))))>d))>d)
0
1
1
1
not entailment
~((~(~(~(d)))>(q|(q|d))))
~((~((((d>q)&(d&d))>(d>q)))|d))
1
0
1
0
entailment
((q>q)>(q&(d|d)))
((((q|(d|q))|~(q))>d)&d)
1
0
1
0
entailment
~((~(~(~(d)))>(q|(q|d))))
((((q|(d|q))|~(q))>d)&d)
0
1
1
0
not entailment
((q>q)>(q&(d|d)))
~((~((((d>q)&(d&d))>(d>q)))|d))
0
0
1
0
not entailment
~((((d|(d|q))>d)&q))
(~((q&d))&((d&d)>d))
1
1
1
1
entailment
(~(d)>d)
((d&((q&d)>q))&(((q&q)&(q|d))|d))
1
0
0
0
entailment
~((((d|(d|q))>d)&q))
((d&((q&d)>q))&(((q&q)&(q|d))|d))
0
0
1
1
not entailment
(~(d)>d)
(~((q&d))&((d&d)>d))
0
0
0
0
not entailment
(((q|d)>q)>(d&~((d>(q|d)))))
(~(~(q))>~((d|q)))
1
1
1
1
entailment
(((~(q)|d)&q)&q)
(((((d>(q>q))&d)|(~((d>d))&q))&q)&d)
1
0
1
0
entailment
(((q|d)>q)>(d&~((d>(q|d)))))
(((((d>(q>q))&d)|(~((d>d))&q))&q)&d)
0
0
1
1
not entailment
(((~(q)|d)&q)&q)
(~(~(q))>~((d|q)))
0
0
1
0
not entailment
~(~(g))
((((f|(l&p))&(i>d))&p)|g)
1
0
0
0
entailment
~((~(~(j))>~(((f|(d>i))>(c>(j|l))))))
(((p&j)|(e|(p|i)))>j)
1
1
0
0
entailment
~(~(g))
(((p&j)|(e|(p|i)))>j)
0
0
0
0
not entailment
~((~(~(j))>~(((f|(d>i))>(c>(j|l))))))
((((f|(l&p))&(i>d))&p)|g)
0
1
0
0
not entailment
(((~(j)|(l|g))&(e&c))&~(p))
(~((i>e))>p)
1
1
0
0
entailment
~(((((~(x)|(x>x))&i)>f)>(j&((c|c)|c))))
((d&i)>f)
1
1
0
0
entailment
(((~(j)|(l|g))&(e&c))&~(p))
((d&i)>f)
0
1
0
0
not entailment
~(((((~(x)|(x>x))&i)>f)>(j&((c|c)|c))))
(~((i>e))>p)
0
1
0
0
not entailment
~((i>(f|c)))
(~(g)>(f>d))
1
1
0
0
entailment
(~((l|j))&(~(x)|g))
((((c|j)>~((f>l)))&(e&(x>(c&p))))|~(l))
1
0
0
0
entailment
~((i>(f|c)))
((((c|j)>~((f>l)))&(e&(x>(c&p))))|~(l))
0
0
0
0
not entailment
(~((l|j))&(~(x)|g))
(~(g)>(f>d))
0
1
0
0
not entailment