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
~(~(((e&~(~((v|s))))&s)))
~(~((~((e|(((~((b&s))>s)>s)&e)))>l)))
1
0
0
0
entailment
~((b|(s|e)))
~(~((~((e|(((~((b&s))>s)>s)&e)))>l)))
0
0
0
0
not entailment
~(~(((e&~(~((v|s))))&s)))
(s>(~((v&~(~(v))))>(v&v)))
0
1
1
0
not entailment
(l&((e|(((e>v)>b)>b))&(v&(v|v))))
~(((~((l|b))&s)&(e&v)))
1
1
0
0
entailment
(((~(s)|(b&b))>(v>(e&s)))&s)
((s|s)|(((s&b)>v)&~((~(e)>b))))
1
0
1
0
entailment
(l&((e|(((e>v)>b)>b))&(v&(v|v))))
((s|s)|(((s&b)>v)&~((~(e)>b))))
0
1
0
0
not entailment
(((~(s)|(b&b))>(v>(e&s)))&s)
~(((~((l|b))&s)&(e&v)))
0
1
0
0
not entailment
(((e>(l&l))&l)|(e>((b&e)|b)))
((b|l)|(e>l))
1
1
1
1
entailment
~(~(((l&(~((e|l))|(l>l)))|((l&l)|v))))
(((l|(v&e))&~((s&v)))|~(~((s>v))))
1
1
0
0
entailment
(((e>(l&l))&l)|(e>((b&e)|b)))
(((l|(v&e))&~((s&v)))|~(~((s>v))))
0
0
0
0
not entailment
~(~(((l&(~((e|l))|(l>l)))|((l&l)|v))))
((b|l)|(e>l))
0
1
0
0
not entailment
((l>(v|l))>~((~((v|v))>(e>b))))
((l|e)&e)
1
1
1
1
entailment
(((l&e)>l)>l)
(((b&~(e))>s)>(e>l))
1
0
0
0
entailment
((l>(v|l))>~((~((v|v))>(e>b))))
(((b&~(e))>s)>(e>l))
0
1
0
0
not entailment
(((l&e)>l)>l)
((l|e)&e)
0
1
1
1
not entailment
(e&((l>e)>(e>l)))
((b&e)|e)
1
1
0
0
entailment
(v&b)
((l|v)&((b&v)&((b|l)>(e|v))))
1
0
0
0
entailment
(e&((l>e)>(e>l)))
((l|v)&((b&v)&((b|l)>(e|v))))
0
0
0
0
not entailment
(v&b)
((b&e)|e)
0
0
0
0
not entailment
~((((s&v)>e)|((s>s)>(v>l))))
~(~(((l|(v|e))&~(~((v|(s>s)))))))
1
0
1
0
entailment
~((((l|b)|(b|s))|v))
((s&v)>((s&s)&(v>(s>e))))
1
0
0
0
entailment
~((((s&v)>e)|((s>s)>(v>l))))
((s&v)>((s&s)&(v>(s>e))))
0
1
1
0
not entailment
~((((l|b)|(b|s))|v))
~(~(((l|(v|e))&~(~((v|(s>s)))))))
0
0
0
0
not entailment
(v&(((e|l)|(l|~(((l&e)>l))))&l))
((b>(e|v))|(e&((s|b)>((b&b)>l))))
1
1
0
0
entailment
(s&~(((b&v)|~((l&b)))))
(s|~(((s&e)|(l>b))))
1
1
0
0
entailment
(v&(((e|l)|(l|~(((l&e)>l))))&l))
(s|~(((s&e)|(l>b))))
0
1
0
0
not entailment
(s&~(((b&v)|~((l&b)))))
((b>(e|v))|(e&((s|b)>((b&b)>l))))
0
0
0
0
not entailment
(e&b)
~((v&~(b)))
1
0
0
0
entailment
~((~((l&(l&(v&((b>e)&s)))))>s))
~((s&(b|(l>~(v)))))
1
1
1
0
entailment
(e&b)
~((s&(b|(l>~(v)))))
0
0
0
0
not entailment
~((~((l&(l&(v&((b>e)&s)))))>s))
~((v&~(b)))
0
1
1
1
not entailment
(b&e)
((s>(((v|((l&e)>~((b&s))))|(l|e))|v))&e)
1
0
0
0
entailment
~(~(l))
((s&(v>v))>(s&l))
1
0
0
0
entailment
(b&e)
((s&(v>v))>(s&l))
0
0
0
0
not entailment
~(~(l))
((s>(((v|((l&e)>~((b&s))))|(l|e))|v))&e)
0
0
0
0
not entailment
~(s)
((s>(~(s)|v))|(l>b))
1
0
0
0
entailment
~((((s&(l>e))>b)|~(((l>l)>(b>e)))))
(~((e|b))|((l>l)>(s|l)))
1
1
1
0
entailment
~(s)
(~((e|b))|((l>l)>(s|l)))
0
0
0
0
not entailment
~((((s&(l>e))>b)|~(((l>l)>(b>e)))))
((s>(~(s)|v))|(l>b))
0
1
0
0
not entailment
~(((s&b)>((v>(e|l))&~(b))))
(b>(e|s))
1
1
1
0
entailment
(v|(~(~(~(s)))&v))
(e>v)
1
1
0
0
entailment
~(((s&b)>((v>(e|l))&~(b))))
(e>v)
0
1
1
1
not entailment
(v|(~(~(~(s)))&v))
(b>(e|s))
0
1
0
0
not entailment
~(((l|(e|(s>(v&s))))>(((v|(v&e))|l)|e)))
~(l)
1
1
1
1
entailment
((b|~(l))&(e|(v&(s|(~(v)&(b|b))))))
(e|s)
1
1
1
1
entailment
~(((l|(e|(s>(v&s))))>(((v|(v&e))|l)|e)))
(e|s)
0
1
1
1
not entailment
((b|~(l))&(e|(v&(s|(~(v)&(b|b))))))
~(l)
0
1
1
1
not entailment
(l&b)
(b|~((s&v)))
1
0
0
0
entailment
~(~(s))
(~(((~((~(s)|(l|v)))>b)&s))>s)
1
0
0
0
entailment
(l&b)
(~(((~((~(s)|(l|v)))>b)&s))>s)
0
0
0
0
not entailment
~(~(s))
(b|~((s&v)))
0
0
0
0
not entailment
((b>s)&(e&b))
(l|((((~(e)&v)&s)|((e|l)|(e|e)))>(e>s)))
1
0
0
0
entailment
~((b>~((~(v)>l))))
(~(s)|((s&l)|(v|l)))
1
1
0
0
entailment
((b>s)&(e&b))
(~(s)|((s&l)|(v|l)))
0
0
0
0
not entailment
~((b>~((~(v)>l))))
(l|((((~(e)&v)&s)|((e|l)|(e|e)))>(e>s)))
0
0
0
0
not entailment
(l&(l&s))
(e>((v>(((v>b)&s)|s))&(~(v)|l)))
1
0
0
0
entailment
(v&~(~(b)))
((s&(b>~(v)))>~((e|b)))
1
0
0
0
entailment
(l&(l&s))
((s&(b>~(v)))>~((e|b)))
0
0
0
0
not entailment
(v&~(~(b)))
(e>((v>(((v>b)&s)|s))&(~(v)|l)))
0
0
0
0
not entailment
((l&n)|l)
((d&(z&(z>m)))>l)
1
0
0
0
entailment
~(((n>r)>(~(m)|~((~(n)&d)))))
(~((m&n))>d)
1
1
1
0
entailment
((l&n)|l)
(~((m&n))>d)
0
0
0
0
not entailment
~(((n>r)>(~(m)|~((~(n)&d)))))
((d&(z&(z>m)))>l)
0
1
0
0
not entailment
(r&d)
~(~(((m|r)>r)))
1
0
0
0
entailment
~(((((r>m)|d)|(r&r))&~((z&(l&d)))))
((d|d)>(((r>m)&l)|(~(l)>~(d))))
1
1
1
0
entailment
(r&d)
((d|d)>(((r>m)&l)|(~(l)>~(d))))
0
0
0
0
not entailment
~(((((r>m)|d)|(r&r))&~((z&(l&d)))))
~(~(((m|r)>r)))
0
1
1
1
not entailment
(~(~(((l&~(~(r)))>n)))>~(~((d|d))))
((n|(d|r))|z)
1
1
0
0
entailment
((l&(l>((d>m)&m)))&(m&m))
(m|d)
1
1
1
0
entailment
(~(~(((l&~(~(r)))>n)))>~(~((d|d))))
(m|d)
0
1
0
0
not entailment
((l&(l>((d>m)&m)))&(m&m))
((n|(d|r))|z)
0
1
0
0
not entailment
(~((l>(z|(z&n))))&(~(m)|(l|m)))
((d&m)|~(((((r&(m|m))|z)>r)&z)))
1
1
0
0
entailment
((d&r)&(z&l))
(r&~(((l|~(n))>~(((m>n)>d)))))
1
0
0
0
entailment
(~((l>(z|(z&n))))&(~(m)|(l|m)))
(r&~(((l|~(n))>~(((m>n)>d)))))
0
1
0
0
not entailment
((d&r)&(z&l))
((d&m)|~(((((r&(m|m))|z)>r)&z)))
0
0
0
0
not entailment
(((z|((l|m)&n))>~(m))&z)
(((~(~(((r|n)&(z|(d>z)))))|d)|l)|z)
1
0
0
0
entailment
((~(d)&~((r|z)))&m)
~((~(l)&z))
1
1
0
0
entailment
(((z|((l|m)&n))>~(m))&z)
~((~(l)&z))
0
1
1
0
not entailment
((~(d)&~((r|z)))&m)
(((~(~(((r|n)&(z|(d>z)))))|d)|l)|z)
0
0
0
0
not entailment
(n&~(r))
((r>d)|m)
1
1
0
0
entailment
(~(z)&(~((l&m))&(z|~(d))))
((z>m)|(((n>((r>d)>(d&d)))&(n&l))|~(d)))
1
0
0
0
entailment
(n&~(r))
((z>m)|(((n>((r>d)>(d&d)))&(n&l))|~(d)))
0
0
0
0
not entailment
(~(z)&(~((l&m))&(z|~(d))))
((r>d)|m)
0
1
0
0
not entailment
(~((d&(m>n)))&((n|m)&d))
(r|(m|z))
1
1
0
0
entailment
((z>n)&~((((m>l)|z)&l)))
~(l)
1
1
1
1
entailment
(~((d&(m>n)))&((n|m)&d))
~(l)
0
1
0
0
not entailment
((z>n)&~((((m>l)|z)&l)))
(r|(m|z))
0
1
0
0
not entailment
(n|((m>(z&((m>d)&n)))&r))
(((z>l)&d)|(~(~(r))|(((m>d)&n)|m)))
1
0
0
0
entailment
~(~(~(((r|n)|((d|m)>(d&r))))))
(((r>m)&((m>m)|(d&l)))|~(n))
1
1
0
0
entailment
(n|((m>(z&((m>d)&n)))&r))
(((r>m)&((m>m)|(d&l)))|~(n))
0
0
0
0
not entailment
~(~(~(((r|n)|((d|m)>(d&r))))))
(((z>l)&d)|(~(~(r))|(((m>d)&n)|m)))
0
0
0
0
not entailment
((r>r)>n)
(~(m)|(n|z))
1
0
0
0
entailment
((~((l|m))|(n>r))&(z>z))
((~(((r>m)>(l>d)))&(((n&l)&r)>d))>~(n))
1
0
0
0
entailment
((r>r)>n)
((~(((r>m)>(l>d)))&(((n&l)&r)>d))>~(n))
0
0
0
0
not entailment
((~((l|m))|(n>r))&(z>z))
(~(m)|(n|z))
0
1
1
0
not entailment
(((z|z)|(~(~(((n>l)>l)))>r))&~((l>d)))
(~(~(((d&(r|r))&(~(n)&m))))>((r|l)&n))
1
1
0
0
entailment
((m&((m>n)|d))&((n|l)&(z>l)))
~((r&~(m)))
1
1
0
0
entailment
(((z|z)|(~(~(((n>l)>l)))>r))&~((l>d)))
~((r&~(m)))
0
1
0
0
not entailment
((m&((m>n)|d))&((n|l)&(z>l)))
(~(~(((d&(r|r))&(~(n)&m))))>((r|l)&n))
0
0
0
0
not entailment
((((n>~(m))|((n|l)|n))>(z&z))&l)
((d&r)>(d&z))
1
1
0
0
entailment