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
(s&r)
(q>r)
1
1
0
0
entailment
~((~(j)>(((s>e)>y)|y)))
((j&q)>((s|s)>~((u|y))))
1
1
0
0
entailment
(s&r)
((j&q)>((s|s)>~((u|y))))
0
0
0
0
not entailment
~((~(j)>(((s>e)>y)|y)))
(q>r)
0
1
0
0
not entailment
(((q>y)&(u&i))&(~((j>e))|i))
~((((r&(i>(r>j)))&(j|e))&~((u|s))))
1
0
0
0
entailment
(((~(u)|u)&j)&e)
((s|(i&q))|(j|j))
1
1
0
0
entailment
(((q>y)&(u&i))&(~((j>e))|i))
((s|(i&q))|(j|j))
0
1
0
0
not entailment
(((~(u)|u)&j)&e)
~((((r&(i>(r>j)))&(j|e))&~((u|s))))
0
0
0
0
not entailment
((u|u)&(u|u))
((u&u)|((~(u)>u)&((u|u)&(~(u)|~(u)))))
1
0
1
0
entailment
(((~(u)&((u&u)&(u>u)))&u)|~((u&u)))
~(((u>u)>u))
1
1
1
1
entailment
((u|u)&(u|u))
~(((u>u)>u))
0
1
1
0
not entailment
(((~(u)&((u&u)&(u>u)))&u)|~((u&u)))
((u&u)|((~(u)>u)&((u|u)&(~(u)|~(u)))))
0
0
1
1
not entailment
(u|(u|u))
~((~((u|u))|(u>~(u))))
1
0
1
1
entailment
((u>~(u))|((u&u)&~((u>u))))
~(((u&((u|u)&u))|(u|(u|(u|u)))))
1
0
1
1
entailment
(u|(u|u))
~(((u&((u|u)&u))|(u|(u|(u|u)))))
0
0
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
1
entailment
~(u)
(u>~((~(((u&u)&u))>u)))
1
0
1
1
entailment
((u&(u|u))&(u|u))
(u>~((~(((u&u)&u))>u)))
0
0
1
0
not entailment
~(u)
(u|u)
0
1
1
0
not entailment
((m>m)&m)
((m>m)>m)
1
1
1
1
entailment
((m|m)>~(m))
~(~(~((~(((~(m)|m)&~((m&m))))&m))))
1
0
1
0
entailment
((m>m)&m)
~(~(~((~(((~(m)|m)&~((m&m))))&m))))
0
0
1
1
not entailment
((m|m)>~(m))
((m>m)>m)
0
1
1
0
not entailment
(((m|m)|(m|m))&(m&(~(m)>m)))
((m&m)|m)
1
1
1
1
entailment
~((((m|m)&m)&m))
~(m)
1
1
1
1
entailment
(((m|m)|(m|m))&(m&(~(m)>m)))
~(m)
0
1
1
0
not entailment
~((((m|m)&m)&m))
((m&m)|m)
0
1
1
0
not entailment
(((((m|m)&m)|m)>(m>m))>m)
((m>(~((m&m))&m))>(((m|(m>m))&m)&m))
1
0
1
1
entailment
~(m)
~(m)
1
1
1
1
entailment
(((((m|m)&m)|m)>(m>m))>m)
~(m)
0
1
1
1
not entailment
~(m)
((m>(~((m&m))&m))>(((m|(m>m))&m)&m))
0
0
1
0
not entailment
((~(m)>m)&m)
~(~((((m>m)|m)&m)))
1
0
1
0
entailment
~((m&(m&m)))
~(m)
1
1
1
1
entailment
((~(m)>m)&m)
~(m)
0
1
1
0
not entailment
~((m&(m&m)))
~(~((((m>m)|m)&m)))
0
0
1
0
not entailment
(m&~(~((m|m))))
(~(~((~(m)>(m>m))))>((m&m)|m))
1
0
1
0
entailment
((m&(m>m))>(m>~(m)))
~((m|((m>m)&(m|(m|m)))))
1
0
1
1
entailment
(m&~(~((m|m))))
~((m|((m>m)&(m|(m|m)))))
0
0
1
0
not entailment
((m&(m>m))>(m>~(m)))
(~(~((~(m)>(m>m))))>((m&m)|m))
0
0
1
1
not entailment
(m|m)
(m&(m|((m>~(m))&m)))
1
0
1
0
entailment
~(m)
((~(m)&~(m))&~(m))
1
0
1
1
entailment
(m|m)
((~(m)&~(m))&~(m))
0
0
1
0
not entailment
~(m)
(m&(m|((m>~(m))&m)))
0
0
1
0
not entailment
(((l>(l&e))|~(n))>(l|l))
(l|~((((e>e)&(i>i))|n)))
1
1
0
0
entailment
(e&n)
((~(e)&~((~(i)>((d>l)>(d|d)))))|(i|n))
1
0
0
0
entailment
(((l>(l&e))|~(n))>(l|l))
((~(e)&~((~(i)>((d>l)>(d|d)))))|(i|n))
0
0
0
0
not entailment
(e&n)
(l|~((((e>e)&(i>i))|n)))
0
0
0
0
not entailment
~((~((i>(l>e)))>~(((e&d)>((e&e)&l)))))
((d>n)|((d&i)|(n|~((i>(e|n))))))
1
1
0
0
entailment
(((l&e)|(~(d)&i))&((d|d)|d))
(((i>d)>(e|d))&((l|l)>(d|d)))
1
1
1
0
entailment
~((~((i>(l>e)))>~(((e&d)>((e&e)&l)))))
(((i>d)>(e|d))&((l|l)>(d|d)))
0
1
1
0
not entailment
(((l&e)|(~(d)&i))&((d|d)|d))
((d>n)|((d&i)|(n|~((i>(e|n))))))
0
0
0
0
not entailment
(~((i>l))&((e&d)&(i&e)))
~(~(((i>(e>i))>e)))
1
1
1
0
entailment
(~(((e&(~((n|d))|e))|e))&(l&n))
(n&n)
1
1
1
1
entailment
(~((i>l))&((e&d)&(i&e)))
(n&n)
0
1
0
0
not entailment
(~(((e&(~((n|d))|e))|e))&(l&n))
~(~(((i>(e>i))>e)))
0
1
0
0
not entailment
(((d&e)>(d|l))&e)
(((l|d)>e)|(l&l))
1
1
1
0
entailment
((n&n)|(~(((i|e)&l))&~(d)))
((i>(d>n))|~((~(d)>(d>((n&(e|d))&n)))))
1
0
1
0
entailment
(((d&e)>(d|l))&e)
((i>(d>n))|~((~(d)>(d>((n&(e|d))&n)))))
0
0
0
0
not entailment
((n&n)|(~(((i|e)&l))&~(d)))
(((l|d)>e)|(l&l))
0
1
1
0
not entailment
((n|i)&((e&~(i))&(i>e)))
((n|(~((n|~(d)))&(l>l)))|i)
1
0
0
0
entailment
~((n|n))
~((e&n))
1
1
0
0
entailment
((n|i)&((e&~(i))&(i>e)))
~((e&n))
0
1
1
0
not entailment
~((n|n))
((n|(~((n|~(d)))&(l>l)))|i)
0
0
0
0
not entailment
~(((~(d)&((~(i)&d)|n))>((n&l)>i)))
(d|(n|d))
1
1
1
1
entailment
((e>(e&l))&(i&~(e)))
((i|d)|~(~(((l&(e>n))>((n>(e>i))&n)))))
1
0
0
0
entailment
~(((~(d)&((~(i)&d)|n))>((n&l)>i)))
((i|d)|~(~(((l&(e>n))>((n>(e>i))&n)))))
0
0
0
0
not entailment
((e>(e&l))&(i&~(e)))
(d|(n|d))
0
1
0
0
not entailment
~((~(~((i&n)))|d))
((~(d)|~((n>e)))|i)
1
1
0
0
entailment
(d&((e&(e&l))&d))
(i>(i>((i&d)|e)))
1
1
0
0
entailment
~((~(~((i&n)))|d))
(i>(i>((i&d)|e)))
0
1
0
0
not entailment
(d&((e&(e&l))&d))
((~(d)|~((n>e)))|i)
0
0
0
0
not entailment
((i&l)&((d|d)>(~((((n&i)>n)&n))&d)))
((l>d)>(i|l))
1
1
1
1
entailment
(d|(((i|d)&~(((e|d)>i)))|d))
~((((n&n)>n)>~((n|(e>d)))))
1
1
0
0
entailment
((i&l)&((d|d)>(~((((n&i)>n)&n))&d)))
~((((n&n)>n)>~((n|(e>d)))))
0
1
0
0
not entailment
(d|(((i|d)&~(((e|d)>i)))|d))
((l>d)>(i|l))
0
1
0
0
not entailment
(n&i)
(~((e>n))>~(i))
1
0
0
0
entailment
(d&(~(n)&((n&(l&d))|e)))
(~((~(~(l))|l))|(l>((e&d)&(d|i))))
1
0
0
0
entailment
(n&i)
(~((~(~(l))|l))|(l>((e&d)&(d|i))))
0
0
0
0
not entailment
(d&(~(n)&((n&(l&d))|e)))
(~((e>n))>~(i))
0
1
0
0
not entailment
((l>d)&~((i>(l>e))))
(~(~(((n&e)&~(n))))|~(~((d|l))))
1
0
0
0
entailment
(((e>~(d))>~(~(e)))&n)
((n>e)>n)
1
1
1
0
entailment
((l>d)&~((i>(l>e))))
((n>e)>n)
0
1
0
0
not entailment
(((e>~(d))>~(~(e)))&n)
(~(~(((n&e)&~(n))))|~(~((d|l))))
0
0
0
0
not entailment
(~((l&d))>(l&d))
((d|d)&d)
1
1
1
1
entailment
(~((d|(l|(e>n))))&(l>(l>i)))
~(~((e&e)))
1
1
1
1
entailment
(~((l&d))>(l&d))
~(~((e&e)))
0
1
0
0
not entailment
(~((d|(l|(e>n))))&(l>(l>i)))
((d|d)&d)
0
1
1
0
not entailment
(i&~(l))
(l>d)
1
1
0
0
entailment
(n&((n&l)>(~(i)&n)))
((~(n)>(l>l))>n)
1
1
1
0
entailment
(i&~(l))
((~(n)>(l>l))>n)
0
0
0
0
not entailment
(n&((n&l)>(~(i)&n)))
(l>d)
0
1
0
0
not entailment
(d&n)
((~(d)>((n>n)|i))&d)
1
0
0
0
entailment
(~(((i&l)>(i>d)))&(i>e))
(e|l)
1
1
1
1
entailment
(d&n)
(e|l)
0
1
0
0
not entailment
(~(((i&l)>(i>d)))&(i>e))
((~(d)>((n>n)|i))&d)
0
1
0
0
not entailment
(i&((d|i)>(e&~(~((d&n))))))
(e&e)
1
1
1
1
entailment
(~((d>(i>n)))&(~((n|e))|(((l&l)&n)|n)))
((e|n)>~(l))
1
1
1
0
entailment
(i&((d|i)>(e&~(~((d&n))))))
((e|n)>~(l))
0
1
0
0
not entailment
(~((d>(i>n)))&(~((n|e))|(((l&l)&n)|n)))
(e&e)
0
1
1
0
not entailment