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
((j>(j>o))&((e|u)>~(u)))
(((u|~(o))>((o&e)|g))|~((j>e)))
0
0
0
0
not entailment
((e&o)&u)
((u|o)>u)
1
1
1
0
entailment
(((j&o)>~((g|j)))&((u|g)>~((o>e))))
(~((e&((o>g)&o)))&(((u|~((u&o)))|j)|o))
1
0
1
0
entailment
((e&o)&u)
(~((e&((o>g)&o)))&(((u|~((u&o)))|j)|o))
0
0
0
0
not entailment
(((j&o)>~((g|j)))&((u|g)>~((o>e))))
((u|o)>u)
0
1
1
0
not entailment
~((j>(e|e)))
~((e&(~(~(~(u)))&~((o|o)))))
1
0
0
0
entailment
~(((~((j|j))>o)|g))
((~(~(((e|e)|e)))>u)>(o>~((o&j))))
1
0
0
0
entailment
~((j>(e|e)))
((~(~(((e|e)|e)))>u)>(o>~((o&j))))
0
0
0
0
not entailment
~(((~((j|j))>o)|g))
~((e&(~(~(~(u)))&~((o|o)))))
0
0
0
0
not entailment
~(((u|(((e>j)>o)&((e&g)>e)))|e))
(o>(j|(o>(j&g))))
1
1
1
1
entailment
(g&((e&((u>e)>g))|((j|(e>e))>(e>o))))
(((j|e)|j)|(u|g))
1
1
1
0
entailment
~(((u|(((e>j)>o)&((e&g)>e)))|e))
(((j|e)|j)|(u|g))
0
1
1
0
not entailment
(g&((e&((u>e)>g))|((j|(e>e))>(e>o))))
(o>(j|(o>(j&g))))
0
1
1
0
not entailment
~((((u|e)|j)|j))
~((u&(g>u)))
1
1
0
0
entailment
~((u>(g&o)))
(g|u)
1
1
1
0
entailment
~((((u|e)|j)|j))
(g|u)
0
1
0
0
not entailment
~((u>(g&o)))
~((u&(g>u)))
0
1
1
0
not entailment
~((u>(o&e)))
~(~(~(((~(((g&u)>(g|u)))|e)&o))))
1
0
0
0
entailment
(g&j)
~((~(j)&((o|o)>(u|j))))
1
0
0
0
entailment
~((u>(o&e)))
~((~(j)&((o|o)>(u|j))))
0
0
0
0
not entailment
(g&j)
~(~(~(((~(((g&u)>(g|u)))|e)&o))))
0
0
0
0
not entailment
((o>g)&j)
(j>((j>(o>(e>u)))|g))
1
0
0
0
entailment
(((e&u)&(o&g))|e)
(~((g|g))|e)
1
1
1
0
entailment
((o>g)&j)
(~((g|g))|e)
0
0
0
0
not entailment
(((e&u)&(o&g))|e)
(j>((j>(o>(e>u)))|g))
0
0
0
0
not entailment
((((u|~((u|u)))|j)|~(~(e)))>e)
((o|~((u|u)))>(((o&(g>u))>u)|(o>e)))
1
0
0
0
entailment
~(((~(e)>j)|((o|(g&o))&(e&o))))
(((g>(e|u))&e)>~(g))
1
1
0
0
entailment
((((u|~((u|u)))|j)|~(~(e)))>e)
(((g>(e|u))&e)>~(g))
0
1
0
0
not entailment
~(((~(e)>j)|((o|(g&o))&(e&o))))
((o|~((u|u)))>(((o&(g>u))>u)|(o>e)))
0
0
0
0
not entailment
((n&g)&((~(~(t))>~(n))&~((g&h))))
((~((t&y))>y)>n)
1
1
0
0
entailment
(((y|e)>(y|s))&t)
(((t>e)|((y|y)&~((s&(y>(e|g))))))>t)
1
0
0
0
entailment
((n&g)&((~(~(t))>~(n))&~((g&h))))
(((t>e)|((y|y)&~((s&(y>(e|g))))))>t)
0
1
0
0
not entailment
(((y|e)>(y|s))&t)
((~((t&y))>y)>n)
0
1
0
0
not entailment
~(~(~((n>s))))
(n|t)
1
1
0
0
entailment
(~((j>(s>(j>(c>h)))))&c)
~((s>~((((j>n)>(~((n&h))|j))|~(s)))))
1
0
0
0
entailment
~(~(~((n>s))))
~((s>~((((j>n)>(~((n&h))|j))|~(s)))))
0
0
0
0
not entailment
(~((j>(s>(j>(c>h)))))&c)
(n|t)
0
1
0
0
not entailment
(e&(t&h))
((s>g)>h)
1
1
0
0
entailment
(~(t)&y)
(~(~(((g&e)|(c|h))))>(g>y))
1
0
0
0
entailment
(e&(t&h))
(~(~(((g&e)|(c|h))))>(g>y))
0
0
0
0
not entailment
(~(t)&y)
((s>g)>h)
0
1
0
0
not entailment
(g&~(e))
((~(h)|(~((((c|n)&~((n|h)))>g))>y))>g)
1
0
0
0
entailment
(((j|s)&e)&(u>g))
((n>y)>(n|((e|h)|n)))
1
0
0
0
entailment
(g&~(e))
((n>y)>(n|((e|h)|n)))
0
0
0
0
not entailment
(((j|s)&e)&(u>g))
((~(h)|(~((((c|n)&~((n|h)))>g))>y))>g)
0
0
0
0
not entailment
~((~((~(s)>g))|((j&(e&~(h)))>(j&u))))
(((s&(t&n))&((~(n)|u)&c))|(u>~((e|n))))
1
1
0
0
entailment
(h&((((c&e)&((c&e)&(y&t)))|(g|n))>(y|c)))
((((e>t)>h)&(h|(y>(n&j))))|t)
1
1
0
0
entailment
~((~((~(s)>g))|((j&(e&~(h)))>(j&u))))
((((e>t)>h)&(h|(y>(n&j))))|t)
0
1
0
0
not entailment
(h&((((c&e)&((c&e)&(y&t)))|(g|n))>(y|c)))
(((s&(t&n))&((~(n)|u)&c))|(u>~((e|n))))
0
1
0
0
not entailment
~((~(((~(t)>(u>(y&(h>u))))>(g|n)))>u))
((n&(h|(s|(u&n))))>y)
1
1
0
0
entailment
(t&g)
(t&t)
1
1
1
1
entailment
~((~(((~(t)>(u>(y&(h>u))))>(g|n)))>u))
(t&t)
0
1
1
1
not entailment
(t&g)
((n&(h|(s|(u&n))))>y)
0
0
0
0
not entailment
~(g)
~(~((g>((e>(n|((n|s)|t)))|(c>j)))))
1
0
0
0
entailment
~((u|j))
(u|~((j&(c&e))))
1
0
0
0
entailment
~(g)
(u|~((j&(c&e))))
0
0
0
0
not entailment
~((u|j))
~(~((g>((e>(n|((n|s)|t)))|(c>j)))))
0
0
0
0
not entailment
~(((~(c)>h)|n))
((c&c)>t)
1
1
0
0
entailment
~((~((~(((j>h)&c))>(((s&j)&j)&s)))>t))
(((((u|u)>j)|(s>e))>n)|(((u&s)|c)|~(t)))
1
1
0
0
entailment
~(((~(c)>h)|n))
(((((u|u)>j)|(s>e))>n)|(((u&s)|c)|~(t)))
0
0
0
0
not entailment
~((~((~(((j>h)&c))>(((s&j)&j)&s)))>t))
((c&c)>t)
0
1
1
0
not entailment
(j&t)
(u|t)
1
1
0
0
entailment
~(((n&~(j))>((c|t)&e)))
~(((~(h)&~((j>g)))&j))
1
1
0
0
entailment
(j&t)
~(((~(h)&~((j>g)))&j))
0
0
0
0
not entailment
~(((n&~(j))>((c|t)&e)))
(u|t)
0
1
0
0
not entailment
~((t>(c&(~(j)&u))))
~(~((s|(y>((t>s)>e)))))
1
0
0
0
entailment
~((s|((~((c|((y>n)|t)))>(h|e))|(y>h))))
(~(s)|~(~((g>j))))
1
1
0
0
entailment
~((t>(c&(~(j)&u))))
(~(s)|~(~((g>j))))
0
1
0
0
not entailment
~((s|((~((c|((y>n)|t)))>(h|e))|(y>h))))
~(~((s|(y>((t>s)>e)))))
0
1
1
0
not entailment
((s>((h&j)|j))&(h&((y|g)&u)))
((((t|y)|~(n))>(g&t))>(h|t))
1
1
0
0
entailment
((((u|s)|(u>e))>(u&j))&g)
((((n&c)>~(j))|((h>g)&n))|(j>(g&t)))
1
0
0
0
entailment
((s>((h&j)|j))&(h&((y|g)&u)))
((((n&c)>~(j))|((h>g)&n))|(j>(g&t)))
0
0
0
0
not entailment
((((u|s)|(u>e))>(u&j))&g)
((((t|y)|~(n))>(g&t))>(h|t))
0
0
0
0
not entailment
(~((~(~((y|h)))|j))&(y|~(n)))
(((h|c)|n)>~((~(h)>~((j|(y>s))))))
1
0
0
0
entailment
((~(y)&t)&~(g))
~((((e|s)&(~(((~(t)>g)>u))&~(e)))&g))
1
0
0
0
entailment
(~((~(~((y|h)))|j))&(y|~(n)))
~((((e|s)&(~(((~(t)>g)>u))&~(e)))&g))
0
0
0
0
not entailment
((~(y)&t)&~(g))
(((h|c)|n)>~((~(h)>~((j|(y>s))))))
0
0
0
0
not entailment
~(((((t&v)|n)|n)>~(((u>x)&u))))
(u|(c|(v&c)))
1
1
0
0
entailment
(~(n)&~((c&((t>u)|(x|(t&v))))))
~((c&(t>~((((t>v)|(v&v))>(c>n))))))
1
0
1
0
entailment
~(((((t&v)|n)|n)>~(((u>x)&u))))
~((c&(t>~((((t>v)|(v&v))>(c>n))))))
0
0
0
0
not entailment
(~(n)&~((c&((t>u)|(x|(t&v))))))
(u|(c|(v&c)))
0
1
1
0
not entailment
~((~((c>(t&u)))>(n&v)))
((x|c)|(u|t))
1
1
0
0
entailment
((((v|c)|n)>(c|c))&~(c))
~(n)
1
1
1
1
entailment
~((~((c>(t&u)))>(n&v)))
~(n)
0
1
1
1
not entailment
((((v|c)|n)>(c|c))&~(c))
((x|c)|(u|t))
0
1
0
0
not entailment
(((~((c&t))>(c&n))&t)|~(~(~((u>n)))))
(t|((t>u)&u))
1
1
1
0
entailment
~(~((~(v)>v)))
((~(((u>n)>v))&t)>x)
1
0
0
0
entailment
(((~((c&t))>(c&n))&t)|~(~(~((u>n)))))
((~(((u>n)>v))&t)>x)
0
1
0
0
not entailment
~(~((~(v)>v)))
(t|((t>u)&u))
0
1
0
0
not entailment
(~(~((~(((c>x)&c))&(t|(x|x)))))&n)
(c>(u|t))
1
1
0
0
entailment
~((x>~(((n|t)&(n&(x&c))))))
(c|~(~(((x|(c|u))&u))))
1
1
0
0
entailment
(~(~((~(((c>x)&c))&(t|(x|x)))))&n)
(c|~(~(((x|(c|u))&u))))
0
1
0
0
not entailment
~((x>~(((n|t)&(n&(x&c))))))
(c>(u|t))
0
1
0
0
not entailment
~(((~(c)&(v>t))>(n|c)))
~(((n>x)&c))
1
1
0
0
entailment
(x&~(~(c)))
((~(n)>((n>v)&(~(c)|(x|t))))&x)
1
0
0
0
entailment
~(((~(c)&(v>t))>(n|c)))
((~(n)>((n>v)&(~(c)|(x|t))))&x)
0
0
0
0
not entailment
(x&~(~(c)))
~(((n>x)&c))
0
1
0
0
not entailment
(((t&n)|u)&(c|((v|t)&t)))
(((c>(x>u))&(n|c))>(t|((((c&c)&x)|u)|t)))
1
0
0
0
entailment
~((v>u))
((~(v)>~(x))|~(c))
1
0
0
0
entailment
(((t&n)|u)&(c|((v|t)&t)))
((~(v)>~(x))|~(c))
0
1
0
0
not entailment