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
(v&u)
(x|c)
0
1
0
0
not entailment
(~(x)&l)
((~(l)&~((q&e)))>(k&(v|(y&((k>y)&x)))))
1
0
0
0
entailment
(((e&k)&~(e))|q)
((~(q)&~(((q&l)&(q&x))))>(e&e))
1
0
0
0
entailment
(~(x)&l)
((~(q)&~(((q&l)&(q&x))))>(e&e))
0
0
0
0
not entailment
(((e&k)&~(e))|q)
((~(l)&~((q&e)))>(k&(v|(y&((k>y)&x)))))
0
0
0
0
not entailment
((y|y)&((l&x)>(v>((e>(q&v))>~((q&y))))))
(y|~((e>k)))
1
1
0
0
entailment
~(((((v|v)>v)>(e&v))|(x|(x|v))))
(((v&y)&(y&y))>x)
1
1
0
0
entailment
((y|y)&((l&x)>(v>((e>(q&v))>~((q&y))))))
(((v&y)&(y&y))>x)
0
1
1
0
not entailment
~(((((v|v)>v)>(e&v))|(x|(x|v))))
(y|~((e>k)))
0
1
0
0
not entailment
~((((q>q)&(y>k))|~(((e>v)|y))))
((y&v)|~(~(~((x&v)))))
1
1
0
0
entailment
((~(((q>k)|l))&((v&e)&~(y)))&(y>k))
(e&~((q>~(q))))
1
1
1
1
entailment
~((((q>q)&(y>k))|~(((e>v)|y))))
(e&~((q>~(q))))
0
1
1
0
not entailment
((~(((q>k)|l))&((v&e)&~(y)))&(y>k))
((y&v)|~(~(~((x&v)))))
0
1
0
0
not entailment
(y&k)
~((~(((~(q)|(v&l))>((l|l)|(q|y))))&v))
1
0
0
0
entailment
(((e|y)>(l>((x>e)>k)))>(v&(k>~(k))))
~((~(~(q))&((k&~((e&~(k))))&x)))
1
1
0
0
entailment
(y&k)
~((~(~(q))&((k&~((e&~(k))))&x)))
0
0
0
0
not entailment
(((e|y)>(l>((x>e)>k)))>(v&(k>~(k))))
~((~(((~(q)|(v&l))>((l|l)|(q|y))))&v))
0
0
0
0
not entailment
((l&v)|(~(k)&x))
((y>l)>(~(k)>(l|x)))
1
0
0
0
entailment
((q|v)&~(k))
(x>~(k))
1
1
0
0
entailment
((l&v)|(~(k)&x))
(x>~(k))
0
1
1
0
not entailment
((q|v)&~(k))
((y>l)>(~(k)>(l|x)))
0
0
0
0
not entailment
((((l>v)>y)>(q|~(v)))&y)
(((l&~(y))|l)>((k|y)>y))
1
1
0
0
entailment
~((x>(((v>v)>(e|(x|y)))&((v&q)>e))))
((v|k)>((l>v)|(~(e)>x)))
1
1
0
0
entailment
((((l>v)>y)>(q|~(v)))&y)
((v|k)>((l>v)|(~(e)>x)))
0
1
0
0
not entailment
~((x>(((v>v)>(e|(x|y)))&((v&q)>e))))
(((l&~(y))|l)>((k|y)>y))
0
1
0
0
not entailment
((q>k)&((q&v)&~((~(x)&x))))
(e>q)
1
1
0
0
entailment
~(v)
(~(v)|e)
1
0
0
0
entailment
((q>k)&((q&v)&~((~(x)&x))))
(~(v)|e)
0
1
0
0
not entailment
~(v)
(e>q)
0
1
0
0
not entailment
((q&y)&((x&((l>x)|~((x>q))))|k))
(q|k)
1
1
1
1
entailment
~((x>q))
((l&~(~(~(v))))>((e|x)&(l|~(~(k)))))
1
0
0
0
entailment
((q&y)&((x&((l>x)|~((x>q))))|k))
((l&~(~(~(v))))>((e|x)&(l|~(~(k)))))
0
0
0
0
not entailment
~((x>q))
(q|k)
0
1
0
0
not entailment
((q&q)&~(((q|e)&(e>(k&x)))))
((e>e)>q)
1
1
1
1
entailment
~((e&k))
(~((~(x)|v))|(e>((k&(y&v))>((y>x)|x))))
1
0
0
0
entailment
((q&q)&~(((q|e)&(e>(k&x)))))
(~((~(x)|v))|(e>((k&(y&v))>((y>x)|x))))
0
0
0
0
not entailment
~((e&k))
((e>e)>q)
0
1
0
0
not entailment
~(~((q&~(v))))
(v>((k>k)>(x&(~(v)&y))))
1
0
0
0
entailment
((((k&l)&~(~(y)))&(k>(k|k)))&v)
((l|y)>(((x|x)&~((x>((x|k)>k))))>l))
1
0
0
0
entailment
~(~((q&~(v))))
((l|y)>(((x|x)&~((x>((x|k)>k))))>l))
0
0
0
0
not entailment
((((k&l)&~(~(y)))&(k>(k|k)))&v)
(v>((k>k)>(x&(~(v)&y))))
0
1
0
0
not entailment
(e|(e&(k>x)))
((l>x)|(q|e))
1
1
0
0
entailment
~(~(v))
(~(y)|((x|x)>v))
1
0
0
0
entailment
(e|(e&(k>x)))
(~(y)|((x|x)>v))
0
0
0
0
not entailment
~(~(v))
((l>x)|(q|e))
0
0
0
0
not entailment
((q&(q|v))&(y>~(q)))
~((~((k|v))&~((q|l))))
1
0
0
0
entailment
~((l|((e|e)>~(~(~(x))))))
((~(e)&e)|(q>e))
1
1
0
0
entailment
((q&(q|v))&(y>~(q)))
((~(e)&e)|(q>e))
0
1
0
0
not entailment
~((l|((e|e)>~(~(~(x))))))
~((~((k|v))&~((q|l))))
0
1
0
0
not entailment
(((k>~(v))&((y&k)|l))&~(l))
(((~((e|(~(k)|x)))>~(k))>~((v&v)))>k)
1
0
0
0
entailment
((~((l|k))&l)|(q&y))
(k>q)
1
1
1
1
entailment
(((k>~(v))&((y&k)|l))&~(l))
(k>q)
0
1
0
0
not entailment
((~((l|k))&l)|(q&y))
(((~((e|(~(k)|x)))>~(k))>~((v&v)))>k)
0
0
0
0
not entailment
(x>(v&v))
((~(q)&e)>(~((v&~(e)))&((x>k)|v)))
1
0
0
0
entailment
~(~(~(((~(y)&l)>(x&q)))))
(~(~(((v>l)|(x>e))))&(k>k))
1
1
0
0
entailment
(x>(v&v))
(~(~(((v>l)|(x>e))))&(k>k))
0
0
0
0
not entailment
~(~(~(((~(y)&l)>(x&q)))))
((~(q)&e)>(~((v&~(e)))&((x>k)|v)))
0
0
0
0
not entailment
(y&y)
(e>y)
1
1
0
0
entailment
((e&k)&((k&v)>k))
((l>~(v))>((((x|x)&v)&y)|(q|(e|q))))
1
0
0
0
entailment
(y&y)
((l>~(v))>((((x|x)&v)&y)|(q|(e|q))))
0
0
0
0
not entailment
((e&k)&((k&v)>k))
(e>y)
0
1
0
0
not entailment
(((y|v)|k)&(y&(v&v)))
((((k&e)&((l>(k|y))>l))|e)|y)
1
0
0
0
entailment
~((~((x>e))>(q>~(((q&y)>(v|y))))))
(q&x)
1
1
1
1
entailment
(((y|v)|k)&(y&(v&v)))
(q&x)
0
1
0
0
not entailment
~((~((x>e))>(q>~(((q&y)>(v|y))))))
((((k&e)&((l>(k|y))>l))|e)|y)
0
1
0
0
not entailment
(v&~((((y>y)|((x&l)&(v|q)))>(k|y))))
(((v&q)>(y>x))|(l|(~(k)|x)))
1
1
1
0
entailment
(~(~(v))&(q&e))
((q|(e|((l>e)&l)))|~((l>e)))
1
0
0
0
entailment
(v&~((((y>y)|((x&l)&(v|q)))>(k|y))))
((q|(e|((l>e)&l)))|~((l>e)))
0
1
0
0
not entailment
(~(~(v))&(q&e))
(((v&q)>(y>x))|(l|(~(k)|x)))
0
0
0
0
not entailment
(x&l)
(l|(v|(y&(((v>y)&e)|v))))
1
0
0
0
entailment
~(((e&(q|x))|l))
(((q|y)>l)>~(((x|((q&~(y))&v))&y)))
1
0
0
0
entailment
(x&l)
(((q|y)>l)>~(((x|((q&~(y))&v))&y)))
0
0
0
0
not entailment
~(((e&(q|x))|l))
(l|(v|(y&(((v>y)&e)|v))))
0
0
0
0
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&u)>~((u&u)))
1
1
1
1
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)
0
1
1
1
not entailment
((~(~(u))>u)&((~(u)|u)>u))
(u&((u>u)>u))
1
1
1
1
entailment
~(u)
(u>(~(u)&(((u|u)|u)|u)))
1
0
1
0
entailment
((~(~(u))>u)&((~(u)|u)>u))
(u>(~(u)&(((u|u)|u)|u)))
0
1
1
1
not entailment
~(u)
(u&((u>u)>u))
0
0
1
0
not entailment
(~(~((~(~(u))>u)))>u)
(~(u)>~(~(u)))
1
1
1
1
entailment
~((u|u))
~((u|(u&u)))
1
0
1
1
entailment
(~(~((~(~(u))>u)))>u)
~((u|(u&u)))
0
1
1
1
not entailment
~((u|u))
(~(u)>~(~(u)))
0
0
1
0
not entailment
(u&u)
(u&u)
1
1
1
1
entailment
~((~(u)>u))
~(~(~(u)))
1
1
1
1
entailment
(u&u)
~(~(~(u)))
0
0
1
0
not entailment
~((~(u)>u))
(u&u)
0
1
1
0
not entailment
((u&u)&(u>u))
((u|~(~(((((u&u)|u)|(u>u))>u))))&(u|u))
1
0
1
1
entailment
(~(u)&~(u))
~(~(~(((u>(u|~(u)))&((u&u)|(u&u))))))
1
0
1
0
entailment
((u&u)&(u>u))
~(~(~(((u>(u|~(u)))&((u&u)|(u&u))))))
0
0
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>(u|u)))&u)))
1
0
1
1
entailment
~((u|u))
(u>~((u>(u>u))))
1
0
1
0
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)))
0
0
1
0
not entailment
(u&(u>u))
(((u|u)>u)&((u&(u>u))|(u|u)))
1
0
1
1
entailment
~((u&u))
~(u)
1
1
1
1
entailment
(u&(u>u))
~(u)
0
1
1
1
not entailment