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
((d>i)|i)
(i|((s&o)|(d>o)))
1
0
0
0
entailment
~((j|o))
~(((d&((o&d)>(d|j)))&(o|((d|o)&o))))
1
0
0
0
entailment
((d>i)|i)
~(((d&((o&d)>(d|j)))&(o|((d|o)&o))))
0
0
0
0
not entailment
~((j|o))
(i|((s&o)|(d>o)))
0
0
0
0
not entailment
((j&d)&(j>d))
(~((s|(~(s)&(d&j))))>d)
1
0
0
0
entailment
(i&o)
~(~(o))
1
0
1
1
entailment
((j&d)&(j>d))
~(~(o))
0
1
0
0
not entailment
(i&o)
(~((s|(~(s)&(d&j))))>d)
0
0
0
0
not entailment
(~((~(((d|(s&o))&s))&(s>o)))&o)
((~(~(((d>s)|~(o))))&~(s))|o)
1
1
1
0
entailment
((s&j)&((s&o)|~(o)))
(((o|j)|~(j))&j)
1
1
1
0
entailment
(~((~(((d|(s&o))&s))&(s>o)))&o)
(((o|j)|~(j))&j)
0
1
0
0
not entailment
((s&j)&((s&o)|~(o)))
((~(~(((d>s)|~(o))))&~(s))|o)
0
0
0
0
not entailment
(s&~(~(((o|i)>((~(o)&i)|~(d))))))
((~((d>~((i>~(j)))))|j)|~(~(s)))
1
1
0
0
entailment
(((o&~((s|i)))&~((s&(o|o))))&(j>i))
(o|i)
1
1
1
1
entailment
(s&~(~(((o|i)>((~(o)&i)|~(d))))))
(o|i)
0
1
1
0
not entailment
(((o&~((s|i)))&~((s&(o|o))))&(j>i))
((~((d>~((i>~(j)))))|j)|~(~(s)))
0
1
0
0
not entailment
((o&d)|~(~(o)))
(d>((d|(o|o))>o))
1
1
1
0
entailment
~(~((o>s)))
((s|(o>s))|(d>(j&j)))
1
0
0
0
entailment
((o&d)|~(~(o)))
((s|(o>s))|(d>(j&j)))
0
0
0
0
not entailment
~(~((o>s)))
(d>((d|(o|o))>o))
0
0
0
0
not entailment
(~(((s|j)&j))>j)
((o|j)&(j|j))
1
1
0
0
entailment
(((j>s)&~(s))&(j>~(s)))
~((i&s))
1
1
0
0
entailment
(~(((s|j)&j))>j)
~((i&s))
0
1
0
0
not entailment
(((j>s)&~(s))&(j>~(s)))
((o|j)&(j|j))
0
1
0
0
not entailment
((~((j|s))&(i|(j>s)))&(i&o))
(~(~((i&o)))|o)
1
1
1
1
entailment
(s&(o>d))
((o&~((s&(d|~(s)))))>s)
1
0
1
0
entailment
((~((j|s))&(i|(j>s)))&(i&o))
((o&~((s&(d|~(s)))))>s)
0
1
0
0
not entailment
(s&(o>d))
(~(~((i&o)))|o)
0
0
0
0
not entailment
((~(((o|o)&d))&(((d|j)|s)&s))&(~(d)&i))
(~((d&j))|(o>s))
1
1
1
0
entailment
~(~((o&((j&i)>~(((o>i)&(d|j)))))))
((o|(d|o))&((i&s)>o))
1
1
0
0
entailment
((~(((o|o)&d))&(((d|j)|s)&s))&(~(d)&i))
((o|(d|o))&((i&s)>o))
0
1
1
0
not entailment
~(~((o&((j&i)>~(((o>i)&(d|j)))))))
(~((d&j))|(o>s))
0
1
0
0
not entailment
(d&(((d>(o>o))&s)&j))
((i>s)>(~(~(j))>(j>~(~(s)))))
1
0
0
0
entailment
(d&(((d>(o>o))&s)&j))
(o>i)
0
1
0
0
not entailment
~(o)
((i>s)>(~(~(j))>(j>~(~(s)))))
0
0
0
0
not entailment
(i&((j>o)&d))
(d|(j>~(((d|s)>((i&~(j))&j)))))
1
0
0
0
entailment
~((d&(o|(j>s))))
(d>(j&d))
1
1
1
0
entailment
(i&((j>o)&d))
(d>(j&d))
0
1
1
0
not entailment
~((d&(o|(j>s))))
(d|(j>~(((d|s)>((i&~(j))&j)))))
0
0
0
0
not entailment
(j&~(o))
(((o>(d|(d|d)))>o)>(o>d))
1
0
0
0
entailment
(((((o|j)>~(d))&s)>s)>(i&(s&o)))
(s&(o>o))
1
1
1
1
entailment
(j&~(o))
(s&(o>o))
0
1
0
0
not entailment
(((((o|j)>~(d))&s)>s)>(i&(s&o)))
(((o>(d|(d|d)))>o)>(o>d))
0
1
1
0
not entailment
(d&d)
~(~((s>((o|d)|(s>(s&i))))))
1
0
0
0
entailment
~(~(~((j>i))))
((i>s)|o)
1
1
0
0
entailment
(d&d)
((i>s)|o)
0
0
0
0
not entailment
~(~(~((j>i))))
~(~((s>((o|d)|(s>(s&i))))))
0
0
0
0
not entailment
(~(~(~(s)))>(o&s))
(s|j)
1
1
0
0
entailment
~((~(((d|~(o))>o))|d))
(s>o)
1
1
0
0
entailment
(~(~(~(s)))>(o&s))
(s>o)
0
1
1
0
not entailment
~((~(((d|~(o))>o))|d))
(s|j)
0
1
0
0
not entailment
~((j>s))
~(s)
1
1
1
1
entailment
((o|~((i&d)))>(i&i))
((j>s)|~(~((j&i))))
1
1
0
0
entailment
~((j>s))
((j>s)|~(~((j&i))))
0
0
0
0
not entailment
((o|~((i&d)))>(i&i))
~(s)
0
1
0
0
not entailment
(m&~(((~(((q&d)|(v|u)))>~(l))&d)))
((v|m)|(k>((a&(d&a))&(~((k>a))>(m>m)))))
1
0
0
0
entailment
(q&d)
(~(u)>(((q&d)&(u|~(k)))|k))
1
0
0
0
entailment
(m&~(((~(((q&d)|(v|u)))>~(l))&d)))
(~(u)>(((q&d)&(u|~(k)))|k))
0
1
0
0
not entailment
(q&d)
((v|m)|(k>((a&(d&a))&(~((k>a))>(m>m)))))
0
0
0
0
not entailment
(v&(((s|a)|(u|k))&~(s)))
(q|v)
1
1
0
0
entailment
~(((((m|k)|(s>a))>(((a&a)>v)|k))|u))
(u>(v>(~(a)|m)))
1
1
1
0
entailment
(v&(((s|a)|(u|k))&~(s)))
(u>(v>(~(a)|m)))
0
1
0
0
not entailment
~(((((m|k)|(s>a))>(((a&a)>v)|k))|u))
(q|v)
0
1
0
0
not entailment
~((((q&(a>s))>(a&q))|k))
~((u&(~(u)|(m&a))))
1
1
0
0
entailment
(((s|(s>s))|q)&u)
(v>(a|(u&u)))
1
1
0
0
entailment
~((((q&(a>s))>(a&q))|k))
(v>(a|(u&u)))
0
1
0
0
not entailment
(((s|(s>s))|q)&u)
~((u&(~(u)|(m&a))))
0
0
0
0
not entailment
(q&~(k))
(~(((~((k|(q|q)))>(u|a))|l))>u)
1
0
0
0
entailment
(s&m)
((m&(s&m))|(((k|(k|q))&v)|a))
1
0
0
0
entailment
(q&~(k))
((m&(s&m))|(((k|(k|q))&v)|a))
0
0
0
0
not entailment
(s&m)
(~(((~((k|(q|q)))>(u|a))|l))>u)
0
0
0
0
not entailment
(~((a>l))&(s>u))
~((~(~((l&(u|(q|s)))))&(u>m)))
1
0
0
0
entailment
((((l|u)|u)|(k>~(a)))&v)
((~(m)|v)|k)
1
1
0
0
entailment
(~((a>l))&(s>u))
((~(m)|v)|k)
0
1
0
0
not entailment
((((l|u)|u)|(k>~(a)))&v)
~((~(~((l&(u|(q|s)))))&(u>m)))
0
0
0
0
not entailment
~((s&((d>v)|(m>~(k)))))
(~((s>u))>(d&(v|s)))
1
1
0
0
entailment
(l&(m>u))
(u>l)
1
1
1
0
entailment
~((s&((d>v)|(m>~(k)))))
(u>l)
0
1
0
0
not entailment
(l&(m>u))
(~((s>u))>(d&(v|s)))
0
0
0
0
not entailment
~(((s|(v|(d>q)))|(d&u)))
(~((~(a)>~((l&q))))>k)
1
1
0
0
entailment
(~(~((q&(s|m))))&((l|l)&(~(d)>(d>u))))
(s|q)
1
1
1
1
entailment
~(((s|(v|(d>q)))|(d&u)))
(s|q)
0
1
1
0
not entailment
(~(~((q&(s|m))))&((l|l)&(~(d)>(d>u))))
(~((~(a)>~((l&q))))>k)
0
1
0
0
not entailment
(k&(u&u))
(q>u)
1
1
0
0
entailment
((q&s)&~(~((l|~(u)))))
(~(~((v|d)))|(~(q)>d))
1
1
0
0
entailment
(k&(u&u))
(~(~((v|d)))|(~(q)>d))
0
0
0
0
not entailment
((q&s)&~(~((l|~(u)))))
(q>u)
0
1
1
0
not entailment
~((l|(v>(q|m))))
~((u&l))
1
1
0
0
entailment
~(((((u&m)&k)>(k&~(k)))>(k|q)))
(~(((l>q)&(d>v)))|(k>(d&l)))
1
1
0
0
entailment
~((l|(v>(q|m))))
(~(((l>q)&(d>v)))|(k>(d&l)))
0
0
0
0
not entailment
~(((((u&m)&k)>(k&~(k)))>(k|q)))
~((u&l))
0
1
0
0
not entailment
~(((q>~(s))>(u|d)))
~((((q>d)&~(v))&~((q|(u>(a>(m&v)))))))
1
0
0
0
entailment
(((v>k)>(((s|m)>m)|s))>s)
((l>a)>s)
1
1
0
0
entailment
~(((q>~(s))>(u|d)))
((l>a)>s)
0
1
0
0
not entailment
(((v>k)>(((s|m)>m)|s))>s)
~((((q>d)&~(v))&~((q|(u>(a>(m&v)))))))
0
0
0
0
not entailment
((~((q>~(~(a))))&v)&(k>a))
~(a)
1
1
1
1
entailment
((v>~((a&~((a>(k&a))))))>a)
(((s&m)&m)|(a&a))
1
1
0
0
entailment
((~((q>~(~(a))))&v)&(k>a))
(((s&m)&m)|(a&a))
0
1
0
0
not entailment
((v>~((a&~((a>(k&a))))))>a)
~(a)
0
1
1
1
not entailment
(((u|l)&((d|s)|s))|(q|d))
~(~(((d|s)|((q|m)|(a&(q&m))))))
1
0
0
0
entailment