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
((e>(e|e))&~(e))
~(((e&e)&(e&e)))
1
1
1
1
entailment
((e>(e|(e|e)))>((e&e)|e))
~(((e&e)&(e&e)))
0
1
1
1
not entailment
((e>(e|e))&~(e))
((e|e)|(e&e))
0
1
1
1
not entailment
~(~(e))
~((~((e|e))|~((((e>e)&e)>e))))
1
0
1
0
entailment
(~(~(e))>~(((e|~(e))&e)))
~(((e&e)|((e|e)&(e|e))))
1
1
1
1
entailment
~(~(e))
~(((e&e)|((e|e)&(e|e))))
0
0
1
0
not entailment
(~(~(e))>~(((e|~(e))&e)))
~((~((e|e))|~((((e>e)&e)>e))))
0
0
1
1
not entailment
((~(b)|(o&s))&((((m&(m>s))>g)|g)&(g&o)))
(o|g)
1
1
1
1
entailment
(s|s)
(((m>m)>(b|b))|s)
1
0
0
0
entailment
((~(b)|(o&s))&((((m&(m>s))>g)|g)&(g&o)))
(((m>m)>(b|b))|s)
0
1
1
0
not entailment
(s|s)
(o|g)
0
1
0
0
not entailment
((o>(~(m)&s))&o)
((b>s)|m)
1
1
0
0
entailment
~(~(~(o)))
(o>g)
1
1
0
0
entailment
((o>(~(m)&s))&o)
(o>g)
0
1
0
0
not entailment
~(~(~(o)))
((b>s)|m)
0
1
0
0
not entailment
~((m>~(~(~(((o>((o|(b>o))&m))&s))))))
((s>(o|m))>m)
1
1
1
0
entailment
~(o)
(~(~((((o&m)>(~(b)&(m>s)))|~(s))))|g)
1
0
0
0
entailment
~((m>~(~(~(((o>((o|(b>o))&m))&s))))))
(~(~((((o&m)>(~(b)&(m>s)))|~(s))))|g)
0
1
0
0
not entailment
~(o)
((s>(o|m))>m)
0
0
0
0
not entailment
(((m&o)|g)&((b&g)&s))
(~((((s|g)|o)|~((((g&m)>s)|g))))>~(m))
1
0
1
0
entailment
((~(~((o|m)))>(m&(o>((b|s)>s))))&m)
((((((s|(g&o))&o)|s)|(b&m))>~(s))|m)
1
1
0
0
entailment
(((m&o)|g)&((b&g)&s))
((((((s|(g&o))&o)|s)|(b&m))>~(s))|m)
0
0
1
0
not entailment
((~(~((o|m)))>(m&(o>((b|s)>s))))&m)
(~((((s|g)|o)|~((((g&m)>s)|g))))>~(m))
0
0
0
0
not entailment
((g&g)&((o>g)&(((b>o)>~(~(b)))&s)))
(~(~(g))|(b|g))
1
1
1
1
entailment
(m>~((o&g)))
~(((g&~(~((o&(m&o)))))&((s>b)|m)))
1
0
0
0
entailment
((g&g)&((o>g)&(((b>o)>~(~(b)))&s)))
~(((g&~(~((o&(m&o)))))&((s>b)|m)))
0
1
0
0
not entailment
(m>~((o&g)))
(~(~(g))|(b|g))
0
0
0
0
not entailment
((((o>b)>o)>b)&o)
~(~(((o&o)>b)))
1
1
1
1
entailment
(((s>b)>~((s|(b>(g>b)))))&~(~((o&o))))
((b>g)|g)
1
1
1
1
entailment
((((o>b)>o)>b)&o)
((b>g)|g)
0
1
0
0
not entailment
(((s>b)>~((s|(b>(g>b)))))&~(~((o&o))))
~(~(((o&o)>b)))
0
1
1
0
not entailment
~((~(((s&s)&b))>~(o)))
(((m|b)|(m|o))|((s>o)&s))
1
1
0
0
entailment
~((((s>o)>(s&~(s)))|((o&o)|(o|g))))
(~((~(o)|m))>~(~((b&o))))
1
1
0
0
entailment
~((~(((s&s)&b))>~(o)))
(~((~(o)|m))>~(~((b&o))))
0
0
0
0
not entailment
~((((s>o)>(s&~(s)))|((o&o)|(o|g))))
(((m|b)|(m|o))|((s>o)&s))
0
1
0
0
not entailment
((~(s)&o)&(m&o))
((b>s)|(~((~(m)>m))>((m>s)>o)))
1
0
0
0
entailment
((s>s)>(m>(~(b)&b)))
(g|(m>b))
1
1
0
0
entailment
((~(s)&o)&(m&o))
(g|(m>b))
0
1
0
0
not entailment
((s>s)>(m>(~(b)&b)))
((b>s)|(~((~(m)>m))>((m>s)>o)))
0
0
0
0
not entailment
((o>(b&(g&m)))&o)
((s&s)|g)
1
1
0
0
entailment
~((~((~(o)>s))>((m|g)>(~(m)|b))))
(((o>g)&((b>s)|((b&m)|g)))>~(b))
1
1
1
0
entailment
((o>(b&(g&m)))&o)
(((o>g)&((b>s)|((b&m)|g)))>~(b))
0
0
0
0
not entailment
~((~((~(o)>s))>((m|g)>(~(m)|b))))
((s&s)|g)
0
1
1
0
not entailment
(~(~(m))>~((m|~((s&g)))))
(~(((o>(o|b))>~((b&b))))|((m>g)|o))
1
0
0
0
entailment
(((s|m)>((g&(g&m))|m))|b)
(~((b|((b|m)|(o>m))))>(~(m)>(s>b)))
1
0
0
0
entailment
(~(~(m))>~((m|~((s&g)))))
(~((b|((b|m)|(o>m))))>(~(m)>(s>b)))
0
0
0
0
not entailment
(((s|m)>((g&(g&m))|m))|b)
(~(((o>(o|b))>~((b&b))))|((m>g)|o))
0
0
0
0
not entailment
(~(g)&b)
((m|b)|m)
1
1
0
0
entailment
((~((s>(b>s)))>(~(o)>~((~(b)|m))))&o)
((((s&b)>o)|(o&(o|g)))|(((s|m)&m)&m))
1
1
0
0
entailment
(~(g)&b)
((((s&b)>o)|(o&(o|g)))|(((s|m)&m)&m))
0
0
0
0
not entailment
((~((s>(b>s)))>(~(o)>~((~(b)|m))))&o)
((m|b)|m)
0
1
1
0
not entailment
(b&o)
(o|(((s|b)&(m>g))&(~((s&b))&b)))
1
0
0
0
entailment
(b>((b&s)&~(~(~((g|o))))))
((g&b)>(~(m)|~((b|b))))
1
1
0
0
entailment
(b&o)
((g&b)>(~(m)|~((b|b))))
0
0
0
0
not entailment
(b>((b&s)&~(~(~((g|o))))))
(o|(((s|b)&(m>g))&(~((s&b))&b)))
0
0
0
0
not entailment
((m|o)|(m&b))
(~((m|o))>(((o&(o>g))>o)&m))
1
0
0
0
entailment
(~((~(~((g&m)))&o))&~(g))
~((g&((~((~(o)>o))>~(g))|((g|b)&g))))
1
0
0
0
entailment
((m|o)|(m&b))
~((g&((~((~(o)>o))>~(g))|((g|b)&g))))
0
0
0
0
not entailment
(~((~(~((g&m)))&o))&~(g))
(~((m|o))>(((o&(o>g))>o)&m))
0
1
1
0
not entailment
((m>(s&b))>((o&~((b&g)))&(g|(o|(s>o)))))
(((g&g)|((m|g)|o))|(((m>s)|(s&~(o)))>m))
1
1
1
1
entailment
~(((m|g)&(s|g)))
(g>s)
1
1
1
0
entailment
((m>(s&b))>((o&~((b&g)))&(g|(o|(s>o)))))
(g>s)
0
1
1
0
not entailment
~(((m|g)&(s|g)))
(((g&g)|((m|g)|o))|(((m>s)|(s&~(o)))>m))
0
0
0
0
not entailment
(~(y)>((((c>t)>(u|c))>y)&(c&c)))
(((y>t)|t)>t)
1
1
1
0
entailment
(u&c)
((t|t)|u)
1
0
0
0
entailment
(~(y)>((((c>t)>(u|c))>y)&(c&c)))
((t|t)|u)
0
1
1
0
not entailment
(u&c)
(((y>t)|t)>t)
0
0
0
0
not entailment
(u|~((y>y)))
(u|(c|t))
1
1
0
0
entailment
~(((~(u)>(y|t))|t))
(u>(((y&c)>t)&u))
1
1
0
0
entailment
(u|~((y>y)))
(u>(((y&c)>t)&u))
0
0
0
0
not entailment
~(((~(u)>(y|t))|t))
(u|(c|t))
0
1
0
0
not entailment
~(~(t))
(((t&u)>(t|((t|c)|t)))>t)
1
0
0
0
entailment
~((t|u))
~((u|u))
1
1
1
1
entailment
~(~(t))
~((u|u))
0
1
0
0
not entailment
~((t|u))
(((t&u)>(t|((t|c)|t)))>t)
0
0
0
0
not entailment
(c|c)
((t|c)|(((((c|y)&t)>c)|c)&(t&(u>t))))
1
0
0
0
entailment
(((t&(c&t))|u)&~(~(y)))
((((u&u)|u)&(u|y))|t)
1
1
1
1
entailment
(c|c)
((((u&u)|u)&(u|y))|t)
0
0
0
0
not entailment
(((t&(c&t))|u)&~(~(y)))
((t|c)|(((((c|y)&t)>c)|c)&(t&(u>t))))
0
0
1
0
not entailment
((c>t)&c)
((u|y)|c)
1
1
0
0
entailment
~(((c|(t|u))|y))
(t>u)
1
1
1
0
entailment
((c>t)&c)
(t>u)
0
1
0
0
not entailment
~(((c|(t|u))|y))
((u|y)|c)
0
1
1
0
not entailment
~(~(t))
(u>(((y&u)&(t>(u>c)))>(u>c)))
1
0
0
0
entailment
(((t&~(u))|((((u>t)|u)|y)&y))&((y>y)|u))
((t>(t|y))>(u>y))
1
1
1
0
entailment
~(~(t))
((t>(t|y))>(u>y))
0
0
0
0
not entailment
(((t&~(u))|((((u>t)|u)|y)&y))&((y>y)|u))
(u>(((y&u)&(t>(u>c)))>(u>c)))
0
1
0
0
not entailment
((c&(y|(u&u)))|((c|t)&u))
(~(t)>(u|y))
1
1
1
1
entailment
~((((c&c)|((((c|((u&t)|c))>t)&t)>c))>t))
~((y&t))
1
1
0
0
entailment
((c&(y|(u&u)))|((c|t)&u))
~((y&t))
0
1
1
0
not entailment
~((((c&c)|((((c|((u&t)|c))>t)&t)>c))>t))
(~(t)>(u|y))
0
1
0
0
not entailment
~(~(((t&(((u>c)|~(t))|(u|c)))&(u&c))))
~((((((~(y)&t)>c)>u)>y)&~((c>u))))
1
1
0
0
entailment
~(~((((y|y)&(t&y))&(~(u)|~(c)))))
((t&y)&y)
1
1
1
1
entailment
~(~(((t&(((u>c)|~(t))|(u|c)))&(u&c))))
((t&y)&y)
0
1
0
0
not entailment
~(~((((y|y)&(t&y))&(~(u)|~(c)))))
~((((((~(y)&t)>c)>u)>y)&~((c>u))))
0
1
1
0
not entailment
(u&~(~((y&~(~((c>c)))))))
((u|y)|u)
1
1
1
1
entailment
~(((c>t)|(((t>c)&((c&c)>y))&(y>y))))
~(((u>(u|u))&(u&t)))
1
1
0
0
entailment
(u&~(~((y&~(~((c>c)))))))
~(((u>(u|u))&(u&t)))
0
1
0
0
not entailment
~(((c>t)|(((t>c)&((c&c)>y))&(y>y))))
((u|y)|u)
0
1
0
0
not entailment
((~((y&~(u)))&(c&c))&y)
(((c>~(t))|(u|y))&(u|~(u)))
1
0
0
0
entailment