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|z))))
(i|((~(e)>(e>(e|z)))>~(~(d))))
0
0
0
0
not entailment
(((~(m)&((m&m)&e))|(i>(z|d)))&(i&d))
((z|z)>(d>(e|(e|~(m)))))
0
1
1
0
not entailment
((~(i)>i)&((~(e)&~(m))&(z>e)))
~(z)
1
1
1
1
entailment
((d&(m&(i&m)))&(i|(d>(m&d))))
(d&(~((~(((e>i)>e))&~((e>m))))>d))
1
0
0
0
entailment
((~(i)>i)&((~(e)&~(m))&(z>e)))
(d&(~((~(((e>i)>e))&~((e>m))))>d))
0
0
0
0
not entailment
((d&(m&(i&m)))&(i|(d>(m&d))))
~(z)
0
1
0
0
not entailment
((~(~(i))&(m>e))&i)
((~(e)|((z>e)&m))>((e&(d|e))|i))
1
0
0
0
entailment
~(~(~((e|(z|((d>z)|(d&i)))))))
(i>z)
1
1
1
0
entailment
((~(~(i))&(m>e))&i)
(i>z)
0
1
0
0
not entailment
~(~(~((e|(z|((d>z)|(d&i)))))))
((~(e)|((z>e)&m))>((e&(d|e))|i))
0
1
0
0
not entailment
(m|m)
(i|~(~((d|(z>m)))))
1
0
0
0
entailment
(~(m)&((z&(e>e))|((d&z)|z)))
(~(d)|(m>~((i|z))))
1
1
0
0
entailment
(m|m)
(~(d)|(m>~((i|z))))
0
0
0
0
not entailment
(~(m)&((z&(e>e))|((d&z)|z)))
(i|~(~((d|(z>m)))))
0
1
0
0
not entailment
(~(m)&~((i&e)))
(m>~(d))
1
1
0
0
entailment
((m>(m|d))&((z|(z&(z>~(m))))&e))
((i|m)>e)
1
1
0
0
entailment
(~(m)&~((i&e)))
((i|m)>e)
0
1
1
0
not entailment
((m>(m|d))&((z|(z&(z>~(m))))&e))
(m>~(d))
0
1
1
0
not entailment
(i|~((z|~(z))))
(e>i)
1
1
0
0
entailment
(((d>e)&d)&((((d|i)>~(i))>e)>(d|d)))
((z&(i|z))|((d&e)|~((m|i))))
1
1
0
0
entailment
(i|~((z|~(z))))
((z&(i|z))|((d&e)|~((m|i))))
0
0
0
0
not entailment
(((d>e)&d)&((((d|i)>~(i))>e)>(d|d)))
(e>i)
0
1
1
0
not entailment
(e&(e>d))
(z|e)
1
1
0
0
entailment
((e&m)|~(((e|(i|i))>e)))
((e&(m>e))>~(~(((i>i)>(m|m)))))
1
0
1
0
entailment
(e&(e>d))
((e&(m>e))>~(~(((i>i)>(m|m)))))
0
0
0
0
not entailment
((e&m)|~(((e|(i|i))>e)))
(z|e)
0
1
0
0
not entailment
((((m|d)>z)&(i&d))&i)
(m>(i|d))
1
1
1
1
entailment
(e&((e&(i&d))|e))
(((((m>d)&d)|~(i))&(d&e))|e)
1
0
0
0
entailment
((((m|d)>z)&(i&d))&i)
(((((m>d)&d)|~(i))&(d&e))|e)
0
0
0
0
not entailment
(e&((e&(i&d))|e))
(m>(i|d))
0
1
0
0
not entailment
(m&(d&(e&(m&(m|m)))))
(m&(~(~((((m>z)|((e|(i&z))>e))&d)))|e))
1
0
0
0
entailment
(~(((z|m)>(d&(z&e))))&~((e>d)))
(d>(((z|d)&((d>e)&i))&(m&~(~(i)))))
1
0
0
0
entailment
(m&(d&(e&(m&(m|m)))))
(d>(((z|d)&((d>e)&i))&(m&~(~(i)))))
0
0
0
0
not entailment
(~(((z|m)>(d&(z&e))))&~((e>d)))
(m&(~(~((((m>z)|((e|(i&z))>e))&d)))|e))
0
0
0
0
not entailment
((e|(e|e))&(((m>m)&(i|m))|(i|m)))
(~((e|(z>i)))>m)
1
1
0
0
entailment
~((((d&i)|(i>z))>(~(((z&e)&(i|z)))>d)))
((d>~(d))|~((~((e&~(m)))>z)))
1
1
0
0
entailment
((e|(e|e))&(((m>m)&(i|m))|(i|m)))
((d>~(d))|~((~((e&~(m)))>z)))
0
1
0
0
not entailment
~((((d&i)|(i>z))>(~(((z&e)&(i|z)))>d)))
(~((e|(z>i)))>m)
0
1
0
0
not entailment
(~((~((~(i)>d))>~(m)))&((m|(d&e))>z))
((m|z)|(e&~(d)))
1
1
1
0
entailment
((d|(z|i))&(~((((d|d)&m)|d))&i))
(e|i)
1
1
0
0
entailment
(~((~((~(i)>d))>~(m)))&((m|(d&e))>z))
(e|i)
0
1
1
0
not entailment
((d|(z|i))&(~((((d|d)&m)|d))&i))
((m|z)|(e&~(d)))
0
1
0
0
not entailment
(((z>i)>(d&(((d>i)&m)|z)))&~((z>d)))
((i&m)|(~(d)|z))
1
1
1
1
entailment
(e&m)
~(~((m|(e&(i>d)))))
1
0
0
0
entailment
(((z>i)>(d&(((d>i)&m)|z)))&~((z>d)))
~(~((m|(e&(i>d)))))
0
1
0
0
not entailment
(e&m)
((i&m)|(~(d)|z))
0
0
0
0
not entailment
~(((z>d)&((e|d)|(z>m))))
(d>(e|z))
1
1
1
0
entailment
(~(~(i))>m)
~((~((i>m))&e))
1
0
0
0
entailment
~(((z>d)&((e|d)|(z>m))))
~((~((i>m))&e))
0
1
0
0
not entailment
(~(~(i))>m)
(d>(e|z))
0
1
0
0
not entailment
(d&e)
(z>e)
1
1
0
0
entailment
~(((z>d)|(~(z)&~(z))))
(d>(m|m))
1
1
0
0
entailment
(d&e)
(d>(m|m))
0
0
0
0
not entailment
~(((z>d)|(~(z)&~(z))))
(z>e)
0
1
0
0
not entailment
(~(m)>(z&d))
(m|~(~(z)))
1
1
1
1
entailment
(((z&d)|~(~(e)))&(~((d|m))&(m>z)))
(e|((~(d)>(e|z))|e))
1
1
1
1
entailment
(~(m)>(z&d))
(e|((~(d)>(e|z))|e))
0
0
0
0
not entailment
(((z&d)|~(~(e)))&(~((d|m))&(m>z)))
(m|~(~(z)))
0
1
1
0
not entailment
((m&(~(i)>i))|m)
((m|d)|(~(((e>(d|m))|(i>m)))>m))
1
0
0
0
entailment
(~(((i>d)>i))>i)
(m>(i&m))
1
1
0
0
entailment
((m&(~(i)>i))|m)
(m>(i&m))
0
1
1
0
not entailment
(~(((i>d)>i))>i)
((m|d)|(~(((e>(d|m))|(i>m)))>m))
0
0
0
0
not entailment
~((u&(u|u)))
((u>~(u))|(u&~(u)))
1
0
1
0
entailment
(u|(((u|u)|~(((u&u)>(u>u))))&u))
~(~(u))
1
1
1
1
entailment
~((u&(u|u)))
~(~(u))
0
1
1
0
not entailment
(u|(((u|u)|~(((u&u)>(u>u))))&u))
((u>~(u))|(u&~(u)))
0
1
1
1
not entailment
((u>((u|u)&u))>(((u|u)|(u&u))&(u&(u>u))))
~(((u>(u&u))&~(u)))
1
1
1
1
entailment
((u&u)>~(~((u&~(u)))))
~((u&(u|(u|u))))
1
1
1
1
entailment
((u>((u|u)&u))>(((u|u)|(u&u))&(u&(u>u))))
~((u&(u|(u|u))))
0
1
1
1
not entailment
((u&u)>~(~((u&~(u)))))
~(((u>(u&u))&~(u)))
0
1
1
1
not entailment
~((~(u)&(~(u)|((~(u)>u)|((u>u)&u)))))
(~((u|u))>(((u>((u&u)>u))|u)>(u&(u|u))))
1
1
1
1
entailment
~(u)
~(~(~((u&(u>u)))))
1
0
1
0
entailment
~((~(u)&(~(u)|((~(u)>u)|((u>u)&u)))))
~(~(~((u&(u>u)))))
0
1
1
1
not 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))
1
0
1
1
entailment
(((u|(u&u))>~((u&(u|(u|(u&u))))))&~(u))
~(((u>(u|u))>u))
1
1
1
0
entailment
(u&(u>u))
~(((u>(u|u))>u))
0
0
1
1
not entailment
(((u|(u&u))>~((u&(u|(u|(u&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|u))))>~(u))
1
0
1
0
entailment
(u&u)
(((u|u)&((u&u)|u))|u)
1
0
1
1
entailment
(u>~(u))
(((u|u)&((u&u)|u))|u)
0
0
1
0
not entailment
(u&u)
((u&((u>u)>(((u>u)|(u|u))|(u|u))))>~(u))
0
0
1
0
not entailment
~((u|u))
~(((u>(u>u))&u))
1
0
1
0
entailment
(((u&(u|u))&~(((u&u)&(u&u))))|(u|u))
(((u&(u|u))&(u>u))&(u|u))
1
1
1
1
entailment
~((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>(u>u))&u))
0
1
1
1
not entailment
~(~(g))
(g&g)
1
1
1
1
entailment
(g>(~(g)&g))
((~((g>g))>((g&~(((g>g)|g)))|g))&~(g))
1
0
1
1
entailment
~(~(g))
((~((g>g))>((g&~(((g>g)|g)))|g))&~(g))
0
0
1
0
not entailment
(g>(~(g)&g))
(g&g)
0
1
1
1
not entailment
(((g&g)&g)|(g|g))
~(~((((((g&g)|g)|(g&g))&g)&(g|~(g)))))
1
0
1
0
entailment
~(g)
((g>g)&~((g&g)))
1
0
1
0
entailment
(((g&g)&g)|(g|g))
((g>g)&~((g&g)))
0
1
1
0
not entailment
~(g)
~(~((((((g&g)|g)|(g&g))&g)&(g|~(g)))))
0
0
1
0
not entailment
(a&(~(c)&(i&a)))
(i>a)
1
1
1
0
entailment
((h|a)>((n|n)&((h&s)&i)))
(((h>(~(n)>t))|f)|~((h|((i|t)>s))))
1
0
0
0
entailment
(a&(~(c)&(i&a)))
(((h>(~(n)>t))|f)|~((h|((i|t)>s))))
0
0
0
0
not entailment
((h|a)>((n|n)&((h&s)&i)))
(i>a)
0
1
1
0
not entailment
~((((i>h)>f)|(~(a)>f)))
(((h&(i|~((t|n))))|t)>(f>(f&(t|n))))
1
0
0
0
entailment
((t|n)>f)
((i>a)|(t>f))
1
0
0
0
entailment