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
(~(s)&c)
(~(((s|(s|c))|~(s)))|(c|~(~(c))))
1
0
1
0
entailment
(~(c)&(s|s))
((s>s)>(s|h))
1
1
0
0
entailment
(~(s)&c)
((s>s)>(s|h))
0
0
0
0
not entailment
(~(c)&(s|s))
(~(((s|(s|c))|~(s)))|(c|~(~(c))))
0
0
1
0
not entailment
(n|n)
(~((n&(n|x)))>(x&x))
1
0
0
0
entailment
~((((z>z)>f)>(z>x)))
(((x&(((n>n)&n)|~(n)))>z)>((x&f)|z))
1
0
0
0
entailment
(n|n)
(((x&(((n>n)&n)|~(n)))>z)>((x&f)|z))
0
0
0
0
not entailment
~((((z>z)>f)>(z>x)))
(~((n&(n|x)))>(x&x))
0
1
0
0
not entailment
~((f|~(z)))
((z&n)|(x>(~(f)|n)))
1
0
0
0
entailment
(~((n&n))&(~(((x&(f&f))&f))>~((f|n))))
(~((n|(x&n)))|~(~(x)))
1
1
1
0
entailment
~((f|~(z)))
(~((n|(x&n)))|~(~(x)))
0
0
0
0
not entailment
(~((n&n))&(~(((x&(f&f))&f))>~((f|n))))
((z&n)|(x>(~(f)|n)))
0
1
0
0
not entailment
~((((z>f)>~(((z&~(f))>z)))|(f&n)))
(~(z)|f)
1
1
1
1
entailment
~(~((((n&z)&z)|((((z>n)>n)&n)&z))))
(z&(z|(n&(x|f))))
1
1
0
0
entailment
~((((z>f)>~(((z&~(f))>z)))|(f&n)))
(z&(z|(n&(x|f))))
0
1
0
0
not entailment
~(~((((n&z)&z)|((((z>n)>n)&n)&z))))
(~(z)|f)
0
1
0
0
not entailment
~(((x>n)|(f|(z>f))))
(~(f)|~(~((z&n))))
1
1
1
0
entailment
((f|~(((x>(z|n))|n)))&z)
~(~(((n>(z|f))&(x>(z>f)))))
1
0
1
0
entailment
~(((x>n)|(f|(z>f))))
~(~(((n>(z|f))&(x>(z>f)))))
0
0
1
0
not entailment
((f|~(((x>(z|n))|n)))&z)
(~(f)|~(~((z&n))))
0
1
1
0
not entailment
(f&z)
(~((x>(~(f)|x)))|z)
1
0
0
0
entailment
(((z>x)>~(n))>(x>n))
(x>(((~(z)&(x>n))>x)>n))
1
0
1
1
entailment
(f&z)
(x>(((~(z)&(x>n))>x)>n))
0
0
0
0
not entailment
(((z>x)>~(n))>(x>n))
(~((x>(~(f)|x)))|z)
0
1
0
0
not entailment
~(x)
(~((f|x))|~(~(((~(n)|x)>(n>(z&f))))))
1
0
0
0
entailment
~((n>z))
(z|n)
1
1
1
0
entailment
~(x)
(z|n)
0
1
0
0
not entailment
~((n>z))
(~((f|x))|~(~(((~(n)|x)>(n>(z&f))))))
0
0
0
0
not entailment
(((((x|x)&x)&(f|f))&n)&(z&f))
~(~(x))
1
1
1
1
entailment
~(((x&n)|x))
(x>~((x&(f|(x|x)))))
1
0
0
0
entailment
(((((x|x)&x)&(f|f))&n)&(z&f))
(x>~((x&(f|(x|x)))))
0
1
1
0
not entailment
~(((x&n)|x))
~(~(x))
0
1
1
0
not entailment
(z&(~((((z>n)|(~((z|z))>(f|n)))>x))|f))
(((z|~(x))|(n|~(f)))&z)
1
1
1
0
entailment
~(((z&x)|f))
(((((x|n)>x)>z)&(~(n)|(n|n)))>(n|~(f)))
1
0
0
0
entailment
(z&(~((((z>n)|(~((z|z))>(f|n)))>x))|f))
(((((x|n)>x)>z)&(~(n)|(n|n)))>(n|~(f)))
0
1
1
0
not entailment
~(((z&x)|f))
(((z|~(x))|(n|~(f)))&z)
0
0
0
0
not entailment
~(~((~(x)&(f|(n&(z&(f|z)))))))
(z|f)
1
1
1
1
entailment
((n|~(((n>(z|((z&z)|f)))|~((f>f)))))>x)
((n>x)|((x&x)&(f&(f>x))))
1
1
1
1
entailment
~(~((~(x)&(f|(n&(z&(f|z)))))))
((n>x)|((x&x)&(f&(f>x))))
0
1
1
0
not entailment
((n|~(((n>(z|((z&z)|f)))|~((f>f)))))>x)
(z|f)
0
1
1
1
not entailment
(~(n)&f)
((~(n)&x)>f)
1
0
0
0
entailment
(((x&x)&((z&f)|z))|n)
~(~((~(n)>(z&(f>((f|f)|(x>z)))))))
1
0
1
0
entailment
(~(n)&f)
~(~((~(n)>(z&(f>((f|f)|(x>z)))))))
0
0
0
0
not entailment
(((x&x)&((z&f)|z))|n)
((~(n)&x)>f)
0
1
1
0
not entailment
~(((~(f)&z)>(x>n)))
(z&(z>z))
1
1
1
0
entailment
(z>~(~(~(z))))
~(((((n|z)|(((n|x)|n)|f))&z)&z))
1
0
0
0
entailment
~(((~(f)&z)>(x>n)))
~(((((n|z)|(((n|x)|n)|f))&z)&z))
0
0
1
0
not entailment
(z>~(~(~(z))))
(z&(z>z))
0
1
1
0
not entailment
(s>~(~(((o>o)&(l&s)))))
~(~((s>l)))
1
1
1
1
entailment
(~((l&(((o|(o&s))&s)&s)))>o)
(((l>(o>s))&((s|(o&s))|s))>o)
1
1
1
0
entailment
(s>~(~(((o>o)&(l&s)))))
(((l>(o>s))&((s|(o&s))|s))>o)
0
0
1
1
not entailment
(~((l&(((o|(o&s))&s)&s)))>o)
~(~((s>l)))
0
1
1
0
not entailment
(((l|l)|~(~(~(((s>s)&l)))))>o)
(l|o)
1
1
1
1
entailment
(l|s)
((s|(l|~(~(~(s)))))>(l|s))
1
0
1
0
entailment
(((l|l)|~(~(~(((s>s)&l)))))>o)
((s|(l|~(~(~(s)))))>(l|s))
0
1
1
1
not entailment
(l|s)
(l|o)
0
1
0
0
not entailment
((l&~((~(o)&(o|(l|l)))))&((o>(o|o))&s))
((~((s&o))|s)&l)
1
1
1
0
entailment
~(o)
~((((o&l)&~(o))|(o&~(~(o)))))
1
0
0
0
entailment
((l&~((~(o)&(o|(l|l)))))&((o>(o|o))&s))
~((((o&l)&~(o))|(o&~(~(o)))))
0
1
1
1
not entailment
~(o)
((~((s&o))|s)&l)
0
0
0
0
not entailment
~((o>(~(((o|o)>l))|s)))
((o>(l&s))>~(((o|s)|o)))
1
1
1
0
entailment
(~((o&o))&(s|~((~(o)|((o>l)>s)))))
(o>s)
1
1
1
1
entailment
~((o>(~(((o|o)>l))|s)))
(o>s)
0
1
1
0
not entailment
(~((o&o))&(s|~((~(o)|((o>l)>s)))))
((o>(l&s))>~(((o|s)|o)))
0
1
1
0
not entailment
~((s|o))
((s>o)&(o|(o>l)))
1
0
0
0
entailment
(s|(s|s))
((s|~(o))&~((~((s|o))&(o>l))))
1
0
0
0
entailment
~((s|o))
((s|~(o))&~((~((s|o))&(o>l))))
0
0
0
0
not entailment
(s|(s|s))
((s>o)&(o|(o>l)))
0
0
0
0
not entailment
((l>(o>~(l)))&(~(s)&(l&(o>l))))
((~(o)>(s&((o|(o>s))|l)))>((l|(o>s))>l))
1
0
1
0
entailment
~(((~(s)|~(o))|(s>l)))
((l>s)|~((o>((o&o)|(o&l)))))
1
0
1
0
entailment
((l>(o>~(l)))&(~(s)&(l&(o>l))))
((l>s)|~((o>((o&o)|(o&l)))))
0
1
1
0
not entailment
~(((~(s)|~(o))|(s>l)))
((~(o)>(s&((o|(o>s))|l)))>((l|(o>s))>l))
0
0
1
0
not entailment
((((s>~(~(l)))>o)|(o|l))&~(o))
(((o|s)&(o>s))|l)
1
1
1
1
entailment
(~(((o&s)|(o&s)))&~(~(~(~(o)))))
(o&(o>(((o>l)&l)>((l&(o>l))>l))))
1
1
0
0
entailment
((((s>~(~(l)))>o)|(o|l))&~(o))
(o&(o>(((o>l)&l)>((l&(o>l))>l))))
0
1
1
1
not entailment
(~(((o&s)|(o&s)))&~(~(~(~(o)))))
(((o|s)&(o>s))|l)
0
1
0
0
not entailment
~((o>(o>~(s))))
((((l|(o>(o&s)))|(o|l))>(l>l))>((s|l)>s))
1
0
0
0
entailment
(l&l)
(l|(((l|o)&s)>~(o)))
1
0
0
0
entailment
~((o>(o>~(s))))
(l|(((l|o)&s)>~(o)))
0
0
0
0
not entailment
(l&l)
((((l|(o>(o&s)))|(o|l))>(l>l))>((s|l)>s))
0
0
0
0
not entailment
(o|s)
((((o|(l|s))>l)|l)>l)
1
0
0
0
entailment
~(~((((l>l)&o)>l)))
(l|((o>s)|s))
1
1
0
0
entailment
(o|s)
(l|((o>s)|s))
0
0
0
0
not entailment
~(~((((l>l)&o)>l)))
((((o|(l|s))>l)|l)>l)
0
1
0
0
not entailment
(~(((l&l)|((l&(l|s))&o)))&(l>((o&s)&s)))
(((o>l)&o)>(s&s))
1
1
1
1
entailment
~((~((s&(s|o)))>((s>(l>o))&s)))
((((o|o)&l)|(s>o))|(l&(s|o)))
1
1
1
0
entailment
(~(((l&l)|((l&(l|s))&o)))&(l>((o&s)&s)))
((((o|o)&l)|(s>o))|(l&(s|o)))
0
1
1
0
not entailment
~((~((s&(s|o)))>((s>(l>o))&s)))
(((o>l)&o)>(s&s))
0
1
1
0
not entailment
(o&(s&(o>((s|(l|(s>l)))|(s>(s&s))))))
(o&s)
1
1
1
1
entailment
(l|~(~(~(((o>~((l&(o|s))))|~(l))))))
~(~(((((l|l)&o)&l)|l)))
1
1
1
1
entailment
(o&(s&(o>((s|(l|(s>l)))|(s>(s&s))))))
~(~(((((l|l)&o)&l)|l)))
0
1
1
1
not entailment
(l|~(~(~(((o>~((l&(o|s))))|~(l))))))
(o&s)
0
1
1
1
not entailment
(((o&s)>(l|l))>l)
((s|(~((o|l))>l))|(l&s))
1
0
1
1
entailment
~((o|s))
~(~(~((((l&s)>~((s&l)))>((l>o)&s)))))
1
0
0
0
entailment
(((o&s)>(l|l))>l)
~(~(~((((l&s)>~((s&l)))>((l>o)&s)))))
0
0
1
0
not entailment
~((o|s))
((s|(~((o|l))>l))|(l&s))
0
0
0
0
not entailment
~((o>(((s>o)&s)&o)))
(((l&~(o))>o)|(o&(s>~((~(s)|s)))))
1
0
0
0
entailment
~((o|~(l)))
((~(o)|(l>(s|o)))>~(o))
1
0
0
0
entailment
~((o>(((s>o)&s)&o)))
((~(o)|(l>(s|o)))>~(o))
0
0
0
0
not entailment
~((o|~(l)))
(((l&~(o))>o)|(o&(s>~((~(s)|s)))))
0
0
0
0
not entailment