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
(~(y)&~(y))
~((((y>(y|y))&y)&((y&(y&y))&(y|y))))
1
0
1
0
entailment
((y|(~(~(y))|~(y)))&(y&y))
~((((y>(y|y))&y)&((y&(y&y))&(y|y))))
0
0
1
1
not entailment
(~(y)&~(y))
(((~(y)&y)>y)>~(~(y)))
0
0
1
0
not entailment
(m&(h|((u&~(h))&~((m&u)))))
((~(n)|j)>(~(j)>m))
1
1
0
0
entailment
~(((j|m)|~(~((u>(n|~(u)))))))
~((((m>m)&h)&m))
1
1
0
0
entailment
(m&(h|((u&~(h))&~((m&u)))))
~((((m>m)&h)&m))
0
1
1
1
not entailment
~(((j|m)|~(~((u>(n|~(u)))))))
((~(n)|j)>(~(j)>m))
0
1
1
0
not entailment
((((u|m)&m)>~((u>~(((m&m)&(n|j))))))&n)
((u&m)|((u|u)|(n|u)))
1
1
1
1
entailment
(h&(m&j))
(j&((h|(~(~(u))>~(((n>u)>n))))|n))
1
0
0
0
entailment
((((u|m)&m)>~((u>~(((m&m)&(n|j))))))&n)
(j&((h|(~(~(u))>~(((n>u)>n))))|n))
0
1
0
0
not entailment
(h&(m&j))
((u&m)|((u|u)|(n|u)))
0
0
0
0
not entailment
~((u>~(n)))
(~((j|(u>u)))|~((u>~(n))))
1
0
0
0
entailment
(~((j>((((h&j)>(h&u))&u)|n)))&(h|h))
((h|j)|~(u))
1
1
1
1
entailment
~((u>~(n)))
((h|j)|~(u))
0
1
0
0
not entailment
(~((j>((((h&j)>(h&u))&u)|n)))&(h|h))
(~((j|(u>u)))|~((u>~(n))))
0
1
1
0
not entailment
((j&u)&(u|(h&h)))
((((~(n)>j)&~(u))>(n&m))>(j|h))
1
0
0
0
entailment
(~(h)&(((n|n)|(~(j)>((n|h)&n)))&~(u)))
~((~((j&n))&h))
1
1
1
1
entailment
((j&u)&(u|(h&h)))
~((~((j&n))&h))
0
1
0
0
not entailment
(~(h)&(((n|n)|(~(j)>((n|h)&n)))&~(u)))
((((~(n)>j)&~(u))>(n&m))>(j|h))
0
1
0
0
not entailment
(~(((m|(n>j))|m))&~(((h>(h|h))&(u&u))))
(~(n)>~((j&h)))
1
1
1
1
entailment
((~(n)&h)&(h&~(u)))
((n>~(j))>(u|h))
1
1
0
0
entailment
(~(((m|(n>j))|m))&~(((h>(h|h))&(u&u))))
((n>~(j))>(u|h))
0
1
1
0
not entailment
((~(n)&h)&(h&~(u)))
(~(n)>~((j&h)))
0
1
0
0
not entailment
~(m)
(m>(((j|(h>n))&u)|h))
1
0
0
0
entailment
~((~(j)|((u|u)|u)))
((h|u)|j)
1
1
0
0
entailment
~(m)
((h|u)|j)
0
0
0
0
not entailment
~((~(j)|((u|u)|u)))
(m>(((j|(h>n))&u)|h))
0
1
0
0
not entailment
(((j|u)&(((m|n)>(j&u))|~(m)))|~((n|j)))
((n>(n>u))|(j|((h|u)&((m&h)|m))))
1
1
0
0
entailment
(~((m&~(n)))|(n|(j&u)))
((u|(~(m)|n))|((u&(j|m))&(m|~((j&j)))))
1
0
1
0
entailment
(((j|u)&(((m|n)>(j&u))|~(m)))|~((n|j)))
((u|(~(m)|n))|((u&(j|m))&(m|~((j&j)))))
0
1
1
0
not entailment
(~((m&~(n)))|(n|(j&u)))
((n>(n>u))|(j|((h|u)&((m&h)|m))))
0
0
0
0
not entailment
(n|j)
(u>(n|j))
1
0
0
0
entailment
(((h>n)>m)&~((m&m)))
((n|~(j))>(~(j)>h))
1
1
0
0
entailment
(n|j)
((n|~(j))>(~(j)>h))
0
0
0
0
not entailment
(((h>n)>m)&~((m&m)))
(u>(n|j))
0
1
0
0
not entailment
~((j&(n|j)))
((h|n)|(j>h))
1
1
0
0
entailment
~((~(~(((m>m)&h)))&(h|h)))
((h&~(~(~(~(m)))))>~((j>j)))
1
0
0
0
entailment
~((j&(n|j)))
((h&~(~(~(~(m)))))>~((j>j)))
0
0
0
0
not entailment
~((~(~(((m>m)&h)))&(h|h)))
((h|n)|(j>h))
0
1
0
0
not entailment
((~(m)&(n&(j&j)))&(j|((m&m)&j)))
~(~(~(m)))
1
1
1
1
entailment
((j>n)&((h&h)&h))
(((n&m)|h)|((u|m)&~((u&h))))
1
0
0
0
entailment
((~(m)&(n&(j&j)))&(j|((m&m)&j)))
(((n&m)|h)|((u|m)&~((u&h))))
0
1
0
0
not entailment
((j>n)&((h&h)&h))
~(~(~(m)))
0
1
0
0
not entailment
((n|h)&(u&n))
(~(((n|j)|m))>~(h))
1
0
0
0
entailment
(u>~(~((u>~((n>(m>n)))))))
~(((u|u)&n))
1
1
1
1
entailment
((n|h)&(u&n))
~(((u|u)&n))
0
1
1
0
not entailment
(u>~(~((u>~((n>(m>n)))))))
(~(((n|j)|m))>~(h))
0
1
0
0
not entailment
(~(~(u))|h)
(m>(~(~((~((h&j))|(n>n))))>((h|u)|h)))
1
0
0
0
entailment
((j&(m&n))&(((u>(u&m))>m)>m))
((m|((u>(m|m))>u))>j)
1
1
1
1
entailment
(~(~(u))|h)
((m|((u>(m|m))>u))>j)
0
0
0
0
not entailment
((j&(m&n))&(((u>(u&m))>m)>m))
(m>(~(~((~((h&j))|(n>n))))>((h|u)|h)))
0
0
0
0
not entailment
~(((j&h)>n))
((((n|h)>n)>(u|(j>j)))&~(~(~(~(h)))))
1
0
0
0
entailment
((m&(u|h))|(u|m))
(((((j|m)>(n|m))>n)&(u>m))>m)
1
0
0
0
entailment
~(((j&h)>n))
(((((j|m)>(n|m))>n)&(u>m))>m)
0
0
0
0
not entailment
((m&(u|h))|(u|m))
((((n|h)>n)>(u|(j>j)))&~(~(~(~(h)))))
0
0
0
0
not entailment
(u&((~((~(m)&j))>n)&(u&((n&j)|h))))
((~(n)|u)|((j|u)|j))
1
1
1
0
entailment
(u&((~((~(m)&j))>n)&(u&((n&j)|h))))
(h>j)
0
1
1
0
not entailment
~(h)
((~(n)|u)|((j|u)|j))
0
0
0
0
not entailment
(~(~((h&((n&m)&j))))&((h>h)|~(u)))
~((((j>(n>(h|(n&h))))&(u&~(n)))&j))
1
1
1
0
entailment
~((((~((u&u))|j)&((u>h)|h))|~(j)))
((u&h)>~((((u>u)|n)|((m|(u>~(j)))|u))))
1
0
0
0
entailment
(~(~((h&((n&m)&j))))&((h>h)|~(u)))
((u&h)>~((((u>u)|n)|((m|(u>~(j)))|u))))
0
0
1
0
not entailment
~((((~((u&u))|j)&((u>h)|h))|~(j)))
~((((j>(n>(h|(n&h))))&(u&~(n)))&j))
0
1
0
0
not entailment
(h&(~(m)|u))
(u|h)
1
1
1
1
entailment
(((h|j)>(u|n))>((n>h)>~(~(n))))
((m|n)|~(u))
1
1
0
0
entailment
(h&(~(m)|u))
((m|n)|~(u))
0
1
0
0
not entailment
(((h|j)>(u|n))>((n>h)>~(~(n))))
(u|h)
0
1
1
0
not entailment
(k&((e>((p>a)&k))>~((d|(e|k)))))
~(~((~(((d&k)&k))|e)))
1
1
1
1
entailment
~((~((p&(a>d)))|~(a)))
(a&a)
1
1
1
1
entailment
(k&((e>((p>a)&k))>~((d|(e|k)))))
(a&a)
0
1
1
0
not entailment
~((~((p&(a>d)))|~(a)))
~(~((~(((d&k)&k))|e)))
0
1
0
0
not entailment
~(((p>d)>(((d&e)&~(p))|((p|e)>p))))
(((d>(d>e))>(~((d>(e&k)))|e))|(e|(e&k)))
1
0
0
0
entailment
(k&(e>(k>a)))
((d&(d&(e|d)))|(e>k))
1
0
0
0
entailment
~(((p>d)>(((d&e)&~(p))|((p|e)>p))))
((d&(d&(e|d)))|(e>k))
0
1
0
0
not entailment
(k&(e>(k>a)))
(((d>(d>e))>(~((d>(e&k)))|e))|(e|(e&k)))
0
0
0
0
not entailment
((p&a)&(e|((a&~(e))>(k|a))))
((~(p)&(k|e))|(a|p))
1
1
1
0
entailment
(~((d&p))>(~(k)&d))
(e>((p>k)|d))
1
1
0
0
entailment
((p&a)&(e|((a&~(e))>(k|a))))
(e>((p>k)|d))
0
1
0
0
not entailment
(~((d&p))>(~(k)&d))
((~(p)&(k|e))|(a|p))
0
1
0
0
not entailment
(d&e)
(e|(d|p))
1
0
0
0
entailment
((~((~((e>e))&k))|(d&a))>k)
((~(k)>(~(((d&k)>d))&a))&k)
1
1
1
0
entailment
(d&e)
((~(k)>(~(((d&k)>d))&a))&k)
0
0
0
0
not entailment
((~((~((e>e))&k))|(d&a))>k)
(e|(d|p))
0
1
0
0
not entailment
(e&p)
~(~((p&(((p|k)&~((e&(k|k))))|p))))
1
0
0
0
entailment
(k&(~(e)>e))
(k|(((((k>k)>k)|(e&p))|e)&~((e&p))))
1
0
0
0
entailment
(e&p)
(k|(((((k>k)>k)|(e&p))|e)&~((e&p))))
0
0
0
0
not entailment
(k&(~(e)>e))
~(~((p&(((p|k)&~((e&(k|k))))|p))))
0
0
0
0
not entailment
~((((k|d)&a)&(d>a)))
~(((a&~(k))&(d&a)))
1
1
1
0
entailment
(a&p)
~(((e>e)>~(((k>(p|a))|(p&d)))))
1
0
0
0
entailment
~((((k|d)&a)&(d>a)))
~(((e>e)>~(((k>(p|a))|(p&d)))))
0
0
0
0
not entailment
(a&p)
~(((a&~(k))&(d&a)))
0
0
0
0
not entailment
(((d&~(~(~((p>k)))))&d)&((e|(d&a))|e))
(((((p&a)&k)&p)&k)>e)
1
1
1
0
entailment
~((~(((~(k)&(p&k))|a))&((~(d)&d)>k)))
((p|d)>((p>a)|~((~((k|e))>a))))
1
1
0
0
entailment
(((d&~(~(~((p>k)))))&d)&((e|(d&a))|e))
((p|d)>((p>a)|~((~((k|e))>a))))
0
1
1
0
not entailment
~((~(((~(k)&(p&k))|a))&((~(d)&d)>k)))
(((((p&a)&k)&p)&k)>e)
0
1
0
0
not entailment
~(~((((d>p)|(p|~(k)))&(e&p))))
((d>(e>a))>~(~(p)))
1
1
0
0
entailment
~(~((d&d)))
(p>(p&(k>d)))
1
1
0
0
entailment
~(~((((d>p)|(p|~(k)))&(e&p))))
(p>(p&(k>d)))
0
1
1
0
not entailment
~(~((d&d)))
((d>(e>a))>~(~(p)))
0
0
0
0
not entailment
((p&e)&e)
(d|e)
1
1
0
0
entailment
~((e|((~(~(((e>(p|p))&k)))>(d&p))|e)))
~(~(((p&(k&e))>~(e))))
1
1
1
0
entailment