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
((n&z)&w)
((~(y)|(((l>l)|~(t))&(h>u)))>(l&(t>t)))
0
0
0
0
not entailment
~(~((l&(b|y))))
((n|y)|(l>u))
0
1
0
0
not entailment
((y&l)&u)
((l&(u|(w|(h|l))))&((t&b)|y))
1
0
0
0
entailment
~(~((b&n)))
(z>n)
1
1
0
0
entailment
((y&l)&u)
(z>n)
0
1
0
0
not entailment
~(~((b&n)))
((l&(u|(w|(h|l))))&((t&b)|y))
0
0
0
0
not entailment
(d&~(~(~((n&b)))))
(((h&z)>d)|l)
1
1
0
0
entailment
~(~(((w&h)&(d>b))))
(~((b&t))|(w|u))
1
1
0
0
entailment
(d&~(~(~((n&b)))))
(~((b&t))|(w|u))
0
1
0
0
not entailment
~(~(((w&h)&(d>b))))
(((h&z)>d)|l)
0
1
0
0
not entailment
(l&(((h&h)&b)|b))
((~(n)&y)>(n|(z>((h>n)>l))))
1
0
0
0
entailment
(((l&l)|~(d))>u)
(l>~(~((u&(n|(((w>w)|u)>(l>u)))))))
1
0
0
0
entailment
(l&(((h&h)&b)|b))
(l>~(~((u&(n|(((w>w)|u)>(l>u)))))))
0
0
0
0
not entailment
(((l&l)|~(d))>u)
((~(n)&y)>(n|(z>((h>n)>l))))
0
0
0
0
not entailment
(((e|((n>(((n&x)>x)>x))>e))&x)&e)
((x|n)>x)
1
1
1
1
entailment
(e&n)
((~((((e|n)|(e|x))&n))>n)|~((e&e)))
1
0
0
0
entailment
(((e|((n>(((n&x)>x)>x))>e))&x)&e)
((~((((e|n)|(e|x))&n))>n)|~((e&e)))
0
0
1
0
not entailment
(e&n)
((x|n)>x)
0
0
0
0
not entailment
((x|x)|x)
((x|(x&x))|x)
1
0
1
1
entailment
(~((n|(n&n)))>((n|x)&(x>e)))
(e|(n&~(((e&e)|e))))
1
1
1
0
entailment
((x|x)|x)
(e|(n&~(((e&e)|e))))
0
0
0
0
not entailment
(~((n|(n&n)))>((n|x)&(x>e)))
((x|(x&x))|x)
0
1
1
1
not entailment
(e&n)
(e|(((n&x)|(x&~(((n&x)&n))))&x))
1
0
0
0
entailment
~(x)
((x|x)>~(x))
1
0
1
1
entailment
(e&n)
((x|x)>~(x))
0
0
0
0
not entailment
~(x)
(e|(((n&x)|(x&~(((n&x)&n))))&x))
0
0
0
0
not entailment
~(~(n))
((e>n)>(n&n))
1
0
0
0
entailment
~(((e|e)|~(x)))
~(~((~(e)>(x&x))))
1
0
1
0
entailment
~(~(n))
~(~((~(e)>(x&x))))
0
0
0
0
not entailment
~(((e|e)|~(x)))
((e>n)>(n&n))
0
1
0
0
not entailment
(e|(e&e))
(~(~((((n&x)>e)&n)))|(n>e))
1
0
0
0
entailment
~(~(~((n>~(x)))))
(x|(e&(n>~(n))))
1
1
0
0
entailment
(e|(e&e))
(x|(e&(n>~(n))))
0
0
0
0
not entailment
~(~(~((n>~(x)))))
(~(~((((n&x)>e)&n)))|(n>e))
0
0
0
0
not entailment
(((n>~(((x>e)>n)))|(e>(n>n)))&e)
(((n>((x>e)&(n>x)))&(x>x))|(e&(e|n)))
1
0
1
0
entailment
(n&(~(x)>(n&(n&n))))
~(~((n&(e>e))))
1
1
0
0
entailment
(((n>~(((x>e)>n)))|(e>(n>n)))&e)
~(~((n&(e>e))))
0
1
1
1
not entailment
(n&(~(x)>(n&(n&n))))
(((n>((x>e)&(n>x)))&(x>x))|(e&(e|n)))
0
0
0
0
not entailment
((~((n>~(e)))|e)|~((x>(e|x))))
~((~((e|(n|~(n))))|(x&~(((x&n)>e)))))
1
0
1
0
entailment
(~(e)|~(~((x&~((((e>x)|x)>x))))))
((e&n)>~(n))
1
1
0
0
entailment
((~((n>~(e)))|e)|~((x>(e|x))))
((e&n)>~(n))
0
1
1
0
not entailment
(~(e)|~(~((x&~((((e>x)|x)>x))))))
~((~((e|(n|~(n))))|(x&~(((x&n)>e)))))
0
0
0
0
not entailment
(~(n)&e)
(((x|(n&x))|(e|e))|(n|x))
1
0
0
0
entailment
~(((e|x)|(n&(x|x))))
~(~(~((e|((x>n)>x)))))
1
0
1
0
entailment
(~(n)&e)
~(~(~((e|((x>n)>x)))))
0
0
0
0
not entailment
~(((e|x)|(n&(x|x))))
(((x|(n&x))|(e|e))|(n|x))
0
0
1
0
not entailment
(e&((n>((x&n)>(e>(x&x))))&x))
(n|x)
1
1
1
0
entailment
(((x>e)&(e>~(((n>n)|e))))|(x&~((n>n))))
~(~(~(~(((((e&x)|n)|n)>~(e))))))
1
1
1
1
entailment
(e&((n>((x&n)>(e>(x&x))))&x))
~(~(~(~(((((e&x)|n)|n)>~(e))))))
0
0
1
1
not entailment
(((x>e)&(e>~(((n>n)|e))))|(x&~((n>n))))
(n|x)
0
1
1
1
not entailment
(n|(n|x))
((e>x)|(n&((~(x)&e)>(((x>e)&n)&e))))
1
0
0
0
entailment
~((x|n))
((((e|e)>(e&n))|(x&((n>n)|(e>x))))>~(e))
1
0
0
0
entailment
(n|(n|x))
((((e|e)>(e&n))|(x&((n>n)|(e>x))))>~(e))
0
0
0
0
not entailment
~((x|n))
((e>x)|(n&((~(x)&e)>(((x>e)&n)&e))))
0
0
0
0
not entailment
((n|(e&x))|e)
(((e>(e>n))>(~(x)>n))&(((n|e)|e)|x))
1
0
1
0
entailment
(~(((x&x)&(e&e)))&(e>n))
((((n|n)|~(x))>~(e))|(n|n))
1
0
1
0
entailment
((n|(e&x))|e)
((((n|n)|~(x))>~(e))|(n|n))
0
0
1
0
not entailment
(~(((x&x)&(e&e)))&(e>n))
(((e>(e>n))>(~(x)>n))&(((n|e)|e)|x))
0
0
1
0
not entailment
((((n&x)&x)|e)&((x&x)|x))
((x&n)|e)
1
1
1
1
entailment
~((((e>n)&~((n|(e|x))))|x))
((~(((e>n)&((x&x)&(n|n))))&(e>x))>~(e))
1
0
1
0
entailment
((((n&x)&x)|e)&((x&x)|x))
((~(((e>n)&((x&x)&(n|n))))&(e>x))>~(e))
0
0
1
0
not entailment
~((((e>n)&~((n|(e|x))))|x))
((x&n)|e)
0
1
1
1
not entailment
((x&x)&(((~(e)|~((e|e)))|e)&~(e)))
(~((x>(x&e)))|(n|x))
1
1
0
0
entailment
((e>((~(x)|~((e|x)))&~(x)))&e)
(((x>n)|n)&(e|x))
1
1
0
0
entailment
((x&x)&(((~(e)|~((e|e)))|e)&~(e)))
(((x>n)|n)&(e|x))
0
1
0
0
not entailment
((e>((~(x)|~((e|x)))&~(x)))&e)
(~((x>(x&e)))|(n|x))
0
1
0
0
not entailment
(n&(e|n))
((((x|e)>e)&~((x|(n|e))))>x)
1
0
0
0
entailment
~((~(((n&x)|(e>e)))|(n&n)))
(n>(e|e))
1
1
1
1
entailment
(n&(e|n))
(n>(e|e))
0
1
1
0
not entailment
~((~(((n&x)|(e>e)))|(n&n)))
((((x|e)>e)&~((x|(n|e))))>x)
0
1
1
1
not entailment
~((x|(n&(((e>x)&n)&x))))
~((((n&e)&x)&((x&(n&x))|((x>n)|x))))
1
0
1
0
entailment
((x&x)&((n|~(~(~(~((e&n))))))|n))
(e>n)
1
1
1
0
entailment
~((x|(n&(((e>x)&n)&x))))
(e>n)
0
1
1
0
not entailment
((x&x)&((n|~(~(~(~((e&n))))))|n))
~((((n&e)&x)&((x&(n&x))|((x>n)|x))))
0
1
1
0
not entailment
~((n>e))
(~((((n&x)&e)|n))>((e|x)>x))
1
0
0
0
entailment
(e&((e&n)>((n>e)|(x&e))))
~(((e>~(n))&((x>(x&x))>n)))
1
0
1
0
entailment
~((n>e))
~(((e>~(n))&((x>(x&x))>n)))
0
0
0
0
not entailment
(e&((e&n)>((n>e)|(x&e))))
(~((((n&x)&e)|n))>((e|x)>x))
0
0
1
0
not entailment
((((m&f)|((f>i)&(m|f)))|m)&(i|i))
(m|(c>i))
1
1
0
0
entailment
((c|x)|c)
~((~((x|c))&(m>c)))
1
0
0
0
entailment
((((m&f)|((f>i)&(m|f)))|m)&(i|i))
~((~((x|c))&(m>c)))
0
1
0
0
not entailment
((c|x)|c)
(m|(c>i))
0
1
0
0
not entailment
~(((x>x)&~(c)))
((c|~((c>(m&c))))|(x&(i|x)))
1
0
0
0
entailment
(m&f)
((f|m)|((f&(x&m))|(c&~((~(m)|i)))))
1
0
0
0
entailment
~(((x>x)&~(c)))
((f|m)|((f&(x&m))|(c&~((~(m)|i)))))
0
0
0
0
not entailment
(m&f)
((c|~((c>(m&c))))|(x&(i|x)))
0
0
0
0
not entailment
(((i|f)|(i>x))&((m>c)&(f&x)))
((f>i)>(i|(f|i)))
1
1
1
1
entailment
(c&m)
(~((x>~(((i>c)|(m|((c&c)|f))))))>c)
1
0
0
0
entailment
(((i|f)|(i>x))&((m>c)&(f&x)))
(~((x>~(((i>c)|(m|((c&c)|f))))))>c)
0
0
1
0
not entailment
(c&m)
((f>i)>(i|(f|i)))
0
0
0
0
not entailment
((i>(f>m))&x)
(m>(c>((i>f)|((m>x)&(i|~(i))))))
1
0
0
0
entailment
(((m>(i|~(x)))&~((i&~(~(~(c))))))&m)
(m|c)
1
1
1
1
entailment
((i>(f>m))&x)
(m|c)
0
1
0
0
not entailment
(((m>(i|~(x)))&~((i&~(~(~(c))))))&m)
(m>(c>((i>f)|((m>x)&(i|~(i))))))
0
1
0
0
not entailment
~(x)
(~((f>(~(c)>c)))>(x>i))
1
0
0
0
entailment
~((c|m))
(~(~(((i&c)&(((c>c)|i)|f))))>x)
1
0
0
0
entailment
~(x)
(~(~(((i&c)&(((c>c)|i)|f))))>x)
0
0
0
0
not entailment
~((c|m))
(~((f>(~(c)>c)))>(x>i))
0
0
0
0
not entailment
((((f|i)|(f|(f|c)))&c)&((i>c)|m))
(i>(x>c))
1
1
0
0
entailment
~((x&m))
(((m&x)&(((c|i)&f)&m))>~(i))
1
0
0
0
entailment