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
(m&(r>r))
(k|m)
1
1
0
0
entailment
(r&((m>k)>~(k)))
(k|m)
0
1
1
0
not entailment
(m&(r>r))
(~(m)|((r&m)|((k>k)&(r&m))))
0
0
0
0
not entailment
((~(r)>k)&~(~(~((k&k)))))
((m>((m|m)&(k>k)))&(r|(r|(k>m))))
1
0
0
0
entailment
(((~(k)|(r>r))>k)&((k>r)>~(~((m>k)))))
((m>(r&r))>(r>k))
1
1
1
0
entailment
((~(r)>k)&~(~(~((k&k)))))
((m>(r&r))>(r>k))
0
1
0
0
not entailment
(((~(k)|(r>r))>k)&((k>r)>~(~((m>k)))))
((m>((m|m)&(k>k)))&(r|(r|(k>m))))
0
1
1
0
not entailment
(k&u)
(o|u)
1
1
0
0
entailment
(j&j)
(((o>c)>o)>((~(o)>u)>(o&j)))
1
0
0
0
entailment
(k&u)
(((o>c)>o)>((~(o)>u)>(o&j)))
0
0
0
0
not entailment
(j&j)
(o|u)
0
1
0
0
not entailment
((((k&k)|~(u))>o)&k)
(((k|o)>k)|u)
1
1
1
0
entailment
(((c>j)>((k&u)&u))|u)
(c|(~(u)>(u|j)))
1
1
1
0
entailment
((((k&k)|~(u))>o)&k)
(c|(~(u)>(u|j)))
0
1
0
0
not entailment
(((c>j)>((k&u)&u))|u)
(((k|o)>k)|u)
0
1
0
0
not entailment
(((j&((c|(o&j))|c))&(u>j))&(o|j))
((k|j)|(k|j))
1
1
0
0
entailment
((j>o)&~((o|(((j>k)&(j>j))>c))))
~(j)
1
1
1
1
entailment
(((j&((c|(o&j))|c))&(u>j))&(o|j))
~(j)
0
1
1
0
not entailment
((j>o)&~((o|(((j>k)&(j>j))>c))))
((k|j)|(k|j))
0
1
1
1
not entailment
(o|(k|(~(k)&u)))
(~((((u|j)>k)>(k|o)))>(j&c))
1
0
0
0
entailment
(j|c)
(c|(((c>j)>k)|(j|k)))
1
0
0
0
entailment
(o|(k|(~(k)&u)))
(c|(((c>j)>k)|(j|k)))
0
0
0
0
not entailment
(j|c)
(~((((u|j)>k)>(k|o)))>(j&c))
0
0
0
0
not entailment
(k&((c&((c>u)&(c|u)))&~(o)))
(j>(u>k))
1
1
0
0
entailment
(u&j)
(j|o)
1
1
0
0
entailment
(k&((c&((c>u)&(c|u)))&~(o)))
(j|o)
0
1
0
0
not entailment
(u&j)
(j>(u>k))
0
0
0
0
not entailment
(((((u>o)>j)&j)|~(~((o&j))))>k)
((j>c)|(c|k))
1
1
0
0
entailment
~(((j>(u>c))&((c&~(k))>((o>j)&k))))
(((j|((c&(o>(k|j)))|j))&(o|u))|(c&c))
1
1
1
0
entailment
(((((u>o)>j)&j)|~(~((o&j))))>k)
(((j|((c&(o>(k|j)))|j))&(o|u))|(c&c))
0
0
0
0
not entailment
~(((j>(u>c))&((c&~(k))>((o>j)&k))))
((j>c)|(c|k))
0
1
1
0
not entailment
((u>(k&((u>(c>u))&(c>k))))&c)
((j>(u>o))>(u>(k|k)))
1
1
0
0
entailment
(~(c)&((((c&j)&k)|(j&o))&o))
(((~(u)&u)|~(o))|(o>j))
1
1
0
0
entailment
((u>(k&((u>(c>u))&(c>k))))&c)
(((~(u)&u)|~(o))|(o>j))
0
1
0
0
not entailment
(~(c)&((((c&j)&k)|(j&o))&o))
((j>(u>o))>(u>(k|k)))
0
1
0
0
not entailment
(~((c&k))>(k&((j&(u|k))&~(~(k)))))
(j|(~(((c&c)&~(c)))&k))
1
1
1
0
entailment
(u|u)
~(~(u))
1
0
1
1
entailment
(~((c&k))>(k&((j&(u|k))&~(~(k)))))
~(~(u))
0
1
1
1
not entailment
(u|u)
(j|(~(((c&c)&~(c)))&k))
0
0
0
0
not entailment
((~(~(c))&(u>(~(j)>o)))&~((o&j)))
~(~(((j&~(c))>((u>(u>k))>k))))
1
1
0
0
entailment
((u>(k|(o>k)))>o)
((o|((c|k)&c))&((j>(k|k))|(~(k)>o)))
1
0
0
0
entailment
((~(~(c))&(u>(~(j)>o)))&~((o&j)))
((o|((c|k)&c))&((j>(k|k))|(~(k)>o)))
0
1
0
0
not entailment
((u>(k|(o>k)))>o)
~(~(((j&~(c))>((u>(u>k))>k))))
0
0
0
0
not entailment
(~(~((j&u)))&(k&j))
(((k&u)|u)|((o|j)|c))
1
1
0
0
entailment
~((c|u))
~((u&j))
1
1
0
0
entailment
(~(~((j&u)))&(k&j))
~((u&j))
0
1
1
0
not entailment
~((c|u))
(((k&u)|u)|((o|j)|c))
0
0
0
0
not entailment
((u&j)&(k&c))
((c&u)&(u>j))
1
1
1
0
entailment
((~(~(u))|(c|k))>(~(((j>k)&u))&~(c)))
((k>~((((c|j)|k)>~(~(u)))))|~(j))
1
1
1
0
entailment
((u&j)&(k&c))
((k>~((((c|j)|k)>~(~(u)))))|~(j))
0
0
1
0
not entailment
((~(~(u))|(c|k))>(~(((j>k)&u))&~(c)))
((c&u)&(u>j))
0
1
1
0
not entailment
~(~(k))
(o>k)
1
1
0
0
entailment
~((u>(j|c)))
((c|u)&(u|u))
1
1
1
0
entailment
~(~(k))
((c|u)&(u|u))
0
0
0
0
not entailment
~((u>(j|c)))
(o>k)
0
1
0
0
not entailment
((u|~(o))&j)
((o|j)|(u|o))
1
1
1
0
entailment
(c|(o&k))
(((k&(c|o))|(k>(j&u)))|~(k))
1
0
0
0
entailment
((u|~(o))&j)
(((k&(c|o))|(k>(j&u)))|~(k))
0
0
0
0
not entailment
(c|(o&k))
((o|j)|(u|o))
0
0
0
0
not entailment
(~(((u&o)|c))&~(~(o)))
(u>((u&o)&u))
1
1
1
0
entailment
~(~(((u&c)&k)))
(((u&o)>o)&k)
1
1
0
0
entailment
(~(((u&o)|c))&~(~(o)))
(((u&o)>o)&k)
0
1
0
0
not entailment
~(~(((u&c)&k)))
(u>((u&o)&u))
0
1
0
0
not entailment
(o&(~(k)&u))
(~((o|j))|o)
1
1
0
0
entailment
(((k&u)>~(c))>(j&k))
(k|((((j>k)>~(~((k|u))))>o)&(~(j)&j)))
1
0
0
0
entailment
(o&(~(k)&u))
(k|((((j>k)>~(~((k|u))))>o)&(~(j)&j)))
0
0
0
0
not entailment
(((k&u)>~(c))>(j&k))
(~((o|j))|o)
0
1
0
0
not entailment
((~((~(j)&o))>((u&o)>~(o)))>u)
((u|(j|o))|(((c&k)>~((k|o)))&~(u)))
1
0
0
0
entailment
((((j>k)|(c&k))>o)|k)
((k|o)|j)
1
1
1
1
entailment
((~((~(j)&o))>((u&o)>~(o)))>u)
((k|o)|j)
0
1
0
0
not entailment
((((j>k)|(c&k))>o)|k)
((u|(j|o))|(((c&k)>~((k|o)))&~(u)))
0
0
0
0
not entailment
((u|u)|(~((u>(u>~(u))))&(~(u)>u)))
((u|u)&((u&u)|u))
1
1
1
1
entailment
~(((u>((u|u)>u))>u))
~((u|u))
1
1
1
1
entailment
((u|u)|(~((u>(u>~(u))))&(~(u)>u)))
~((u|u))
0
1
1
0
not entailment
~(((u>((u|u)>u))>u))
((u|u)&((u&u)|u))
0
1
1
1
not entailment
(u&(u|(u&u)))
((u>u)>u)
1
1
1
0
entailment
~(~(~(u)))
~(((~(u)|~(u))>~((u>u))))
1
0
1
0
entailment
(u&(u|(u&u)))
~(((~(u)|~(u))>~((u>u))))
0
0
1
0
not entailment
~(~(~(u)))
((u>u)>u)
0
1
1
0
not entailment
((u&(u>u))&u)
(u&(u>u))
1
1
1
1
entailment
~((u&(u|~(u))))
~(~(~((u&u))))
1
1
1
1
entailment
((u&(u>u))&u)
~(~(~((u&u))))
0
0
1
1
not entailment
~((u&(u|~(u))))
(u&(u>u))
0
1
1
1
not entailment
(~(~(a))&(~((a|(a&a)))|a))
(a&a)
1
1
1
1
entailment
~((a&a))
~((a&a))
1
1
1
1
entailment
(~(~(a))&(~((a|(a&a)))|a))
~((a&a))
0
1
1
1
not entailment
~((a&a))
(a&a)
0
1
1
0
not entailment
(a|a)
(((a>(a>a))&~(a))>(a|a))
1
0
1
0
entailment
~(a)
~(a)
1
1
1
1
entailment
(a|a)
~(a)
0
1
1
0
not entailment
~(a)
(((a>(a>a))&~(a))>(a|a))
0
0
1
0
not entailment
(a>((a>a)>((a>a)>~((a|(a|a))))))
~((a|((a&a)&a)))
1
1
1
1
entailment
(a&a)
(~((a|a))>(a|a))
1
0
1
1
entailment
(a>((a>a)>((a>a)>~((a|(a|a))))))
(~((a|a))>(a|a))
0
1
1
1
not entailment
(a&a)
~((a|((a&a)&a)))
0
0
1
0
not entailment
~(~(~(~(g))))
((~((r&t))&k)|g)
1
1
0
0
entailment
(k&(~((~((x>~(x)))|k))|(t>x)))
(~(((~(((k>d)|t))|r)&(r|(x&x))))>(x|k))
1
0
0
0
entailment
~(~(~(~(g))))
(~(((~(((k>d)|t))|r)&(r|(x&x))))>(x|k))
0
0
0
0
not entailment
(k&(~((~((x>~(x)))|k))|(t>x)))
((~((r&t))&k)|g)
0
1
0
0
not entailment
((~(~((x&d)))&k)&((k>((r>t)&~(t)))&d))
(~((d>k))|(x>~(t)))
1
1
1
0
entailment