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
~((b|b))
(b>(f&d))
1
1
0
0
entailment
(~(h)&b)
((c|(((b|g)&b)|(y&g)))>((h|o)>b))
1
0
0
0
entailment
~((b|b))
((c|(((b|g)&b)|(y&g)))>((h|o)>b))
0
0
0
0
not entailment
(~(h)&b)
(b>(f&d))
0
1
0
0
not entailment
(~((g>f))|~((o|(c>(f>((d&c)>c))))))
~(f)
1
1
1
1
entailment
(((c|b)&g)&(((~(h)&o)&d)&(g&b)))
(((l>g)&((~(~((b|h)))|(o>y))|c))&g)
1
0
0
0
entailment
(~((g>f))|~((o|(c>(f>((d&c)>c))))))
(((l>g)&((~(~((b|h)))|(o>y))|c))&g)
0
1
0
0
not entailment
(((c|b)&g)&(((~(h)&o)&d)&(g&b)))
~(f)
0
1
0
0
not entailment
~((~((o&(~(f)&b)))|(((c&c)|y)&l)))
(f>(d|~((b&h))))
1
1
0
0
entailment
~(o)
(~(o)|(g>c))
1
0
0
0
entailment
~((~((o&(~(f)&b)))|(((c&c)|y)&l)))
(~(o)|(g>c))
0
1
0
0
not entailment
~(o)
(f>(d|~((b&h))))
0
0
0
0
not entailment
(l&(l&v))
(y|(~((l|v))|l))
1
0
0
0
entailment
((((l>v)&(v&h))>l)&((~((h&y))>l)>h))
~((~((h|(l>h)))&(l|v)))
1
1
1
1
entailment
(l&(l&v))
~((~((h|(l>h)))&(l|v)))
0
0
0
0
not entailment
((((l>v)&(v&h))>l)&((~((h&y))>l)>h))
(y|(~((l|v))|l))
0
1
1
0
not entailment
((((l|v)>l)&(l&y))&(((l>v)|(h&(h>h)))|y))
((((l&l)|l)|(~((~(y)|y))&h))>(y|h))
1
1
1
0
entailment
(~((h&((y|l)|(y>v))))&(v>h))
((v|(l&y))>(~(v)&(y&(v|l))))
1
1
1
0
entailment
((((l|v)>l)&(l&y))&(((l>v)|(h&(h>h)))|y))
((v|(l&y))>(~(v)&(y&(v|l))))
0
1
1
0
not entailment
(~((h&((y|l)|(y>v))))&(v>h))
((((l&l)|l)|(~((~(y)|y))&h))>(y|h))
0
0
1
1
not entailment
(((y>l)|((v|(y|~((h>(y>l)))))&v))&l)
((l&h)|(~(((v&v)>~((y>h))))|(h>v)))
1
1
1
0
entailment
(h&(((l|h)>(~(y)|((v|v)&y)))>(v&v)))
(h|((((v|h)&h)|~(~((h&l))))|y))
1
1
1
1
entailment
(((y>l)|((v|(y|~((h>(y>l)))))&v))&l)
(h|((((v|h)&h)|~(~((h&l))))|y))
0
1
1
1
not entailment
(h&(((l|h)>(~(y)|((v|v)&y)))>(v&v)))
((l&h)|(~(((v&v)>~((y>h))))|(h>v)))
0
1
1
0
not entailment
~(((y|y)>(h|(~(((v&(v&h))>h))|v))))
(y|(y|h))
1
1
1
1
entailment
(((l>l)|v)>~((h|(y|(l>h)))))
(((y|h)>((l&v)&y))|(l>(v|v)))
1
1
1
0
entailment
~(((y|y)>(h|(~(((v&(v&h))>h))|v))))
(((y|h)>((l&v)&y))|(l>(v|v)))
0
1
0
0
not entailment
(((l>l)|v)>~((h|(y|(l>h)))))
(y|(y|h))
0
1
1
0
not entailment
(l&v)
(~((y|(l|l)))>((l>v)>v))
1
0
0
0
entailment
~((~(l)>((v>(h&l))>(y&v))))
(~(y)>(v>~((v>((l&l)&(v>h))))))
1
0
1
0
entailment
(l&v)
(~(y)>(v>~((v>((l&l)&(v>h))))))
0
0
0
0
not entailment
~((~(l)>((v>(h&l))>(y&v))))
(~((y|(l|l)))>((l>v)>v))
0
1
1
0
not entailment
~(~(~((((v&y)>~(y))&~(y)))))
((y|v)>((v>((v>h)>y))|(l&v)))
1
1
0
0
entailment
((h&l)|h)
(~(~(h))|v)
1
0
0
0
entailment
~(~(~((((v&y)>~(y))&~(y)))))
(~(~(h))|v)
0
1
0
0
not entailment
((h&l)|h)
((y|v)>((v>((v>h)>y))|(l&v)))
0
0
0
0
not entailment
((y&((h&v)|(v&v)))&v)
(((y|h)>v)>y)
1
1
1
0
entailment
(v>~((((l|h)&l)>l)))
(l>(~(y)|~(v)))
1
1
0
0
entailment
((y&((h&v)|(v&v)))&v)
(l>(~(y)|~(v)))
0
1
0
0
not entailment
(v>~((((l|h)&l)>l)))
(((y|h)>v)>y)
0
1
0
0
not entailment
(v|((h>v)&v))
(~(~(((h|h)>(y&((v&(y>y))|l)))))|v)
1
0
0
0
entailment
~((~((y>(y&v)))>(~((l|v))>(~(y)&h))))
((((~(l)|l)|y)&(h|y))|l)
1
1
1
0
entailment
(v|((h>v)&v))
((((~(l)|l)|y)&(h|y))|l)
0
0
0
0
not entailment
~((~((y>(y&v)))>(~((l|v))>(~(y)&h))))
(~(~(((h|h)>(y&((v&(y>y))|l)))))|v)
0
1
1
0
not entailment
(y&(v|((y|l)|h)))
((l|~((y>l)))|v)
1
1
1
0
entailment
(h&~(((v&y)|(l&l))))
((((l|h)>(h|h))|((h&(l&v))&v))>h)
1
0
1
0
entailment
(y&(v|((y|l)|h)))
((((l|h)>(h|h))|((h&(l&v))&v))>h)
0
0
1
0
not entailment
(h&~(((v&y)|(l&l))))
((l|~((y>l)))|v)
0
1
1
0
not entailment
(y&~((h&l)))
(~((l&~((y&v))))|~(v))
1
0
0
0
entailment
(~(y)&(~(~((h&v)))&h))
((h&l)|(l>~(((l|l)|((v>v)>(l|~(h)))))))
1
0
0
0
entailment
(y&~((h&l)))
((h&l)|(l>~(((l|l)|((v>v)>(l|~(h)))))))
0
0
0
0
not entailment
(~(y)&(~(~((h&v)))&h))
(~((l&~((y&v))))|~(v))
0
1
0
0
not entailment
(((v|l)|(h|(v|h)))>(h&v))
(v>((h|y)&v))
1
1
0
0
entailment
~(((l|(l|(h&v)))>y))
~((y&~(((((h&v)|(v>(h>h)))>h)>(h&l)))))
1
0
1
0
entailment
(((v|l)|(h|(v|h)))>(h&v))
~((y&~(((((h&v)|(v>(h>h)))>h)>(h&l)))))
0
0
0
0
not entailment
~(((l|(l|(h&v)))>y))
(v>((h|y)&v))
0
1
1
0
not entailment
~(l)
~((l&(v|(v&~(v)))))
1
0
0
0
entailment
(~(~(~((y>h))))&(h|l))
~(((l|(l&((v|h)>y)))>h))
1
1
0
0
entailment
~(l)
~(((l|(l&((v|h)>y)))>h))
0
0
0
0
not entailment
(~(~(~((y>h))))&(h|l))
~((l&(v|(v&~(v)))))
0
1
0
0
not entailment
(((y|v)|((h|l)>y))&(h|(l|h)))
((~(l)&h)|l)
1
1
1
1
entailment
~((y>(~((~(l)&((v|~((l|h)))|h)))|v)))
(~(y)>((h|h)|~((v|l))))
1
1
1
1
entailment
(((y|v)|((h|l)>y))&(h|(l|h)))
(~(y)>((h|h)|~((v|l))))
0
1
1
0
not entailment
~((y>(~((~(l)&((v|~((l|h)))|h)))|v)))
((~(l)&h)|l)
0
1
1
0
not entailment
((y|h)&h)
((v|h)|((h|(l&h))&((h|v)&l)))
1
0
0
0
entailment
((y|(y>(v|((v|v)|y))))&(~(y)>v))
((l>v)|((v|(y&l))|v))
1
1
0
0
entailment
((y|h)&h)
((l>v)|((v|(y&l))|v))
0
0
0
0
not entailment
((y|(y>(v|((v|v)|y))))&(~(y)>v))
((v|h)|((h|(l&h))&((h|v)&l)))
0
1
0
0
not entailment
((~((l&l))>(l|l))&~(v))
(((y|h)>(l>(v>~(h))))|~((l&l)))
1
0
0
0
entailment
(y&(h>(y&v)))
((h|h)>(v|y))
1
1
1
1
entailment
((~((l&l))>(l|l))&~(v))
((h|h)>(v|y))
0
1
0
0
not entailment
(y&(h>(y&v)))
(((y|h)>(l>(v>~(h))))|~((l&l)))
0
0
0
0
not entailment
(((u>u)&((a&u)&(~((u&n))>n)))&(a&u))
~(~(((n|n)&a)))
1
1
1
1
entailment
~(((a|u)|~((u|(((u|n)|(n&(n&n)))&n)))))
~(a)
1
1
1
1
entailment
(((u>u)&((a&u)&(~((u&n))>n)))&(a&u))
~(a)
0
1
1
0
not entailment
~(((a|u)|~((u|(((u|n)|(n&(n&n)))&n)))))
~(~(((n|n)&a)))
0
1
1
0
not entailment
(~(n)&u)
((a>(a>n))|u)
1
0
0
0
entailment
~((a>((n&~(u))|u)))
(~(~(~(((a|a)>(u&a)))))|~(~(n)))
1
0
1
0
entailment
(~(n)&u)
(~(~(~(((a|a)>(u&a)))))|~(~(n)))
0
0
0
0
not entailment
~((a>((n&~(u))|u)))
((a>(a>n))|u)
0
1
1
0
not entailment
(((n>(~(u)&n))&(u>u))>a)
(a|u)
1
1
1
1
entailment
~((((u&a)|(n|n))>(n&u)))
(n|u)
1
1
1
1
entailment
(((n>(~(u)&n))&(u>u))>a)
(n|u)
0
1
1
1
not entailment
~((((u&a)|(n|n))>(n&u)))
(a|u)
0
1
1
1
not entailment
((u>((a&n)>n))>((u&u)&a))
((((a>~((a>a)))&(n>n))>(n&(n>u)))|~(n))
1
0
1
0
entailment
~(~(((n&(a&u))|n)))
~(((~((u>((a|n)>n)))&(a|(u>n)))&(n|u)))
1
0
1
0
entailment
((u>((a&n)>n))>((u&u)&a))
~(((~((u>((a|n)>n)))&(a|(u>n)))&(n|u)))
0
0
1
0
not entailment
~(~(((n&(a&u))|n)))
((((a>~((a>a)))&(n>n))>(n&(n>u)))|~(n))
0
0
1
0
not entailment
~((n>u))
(a|((a>u)&n))
1
0
0
0
entailment
(a|u)
(a|(u|a))
1
0
1
1
entailment
~((n>u))
(a|(u|a))
0
1
0
0
not entailment
(a|u)
(a|((a>u)&n))
0
0
0
0
not entailment
(~((n>a))&(u|u))
((u&a)>~(((~(a)|n)&(n|(u|u)))))
1
0
1
0
entailment
(u&(u&a))
(((~(~((a>(u&u))))&u)>(~(n)|(n>n)))>a)
1
0
0
0
entailment
(~((n>a))&(u|u))
(((~(~((a>(u&u))))&u)>(~(n)|(n>n)))>a)
0
0
1
0
not entailment
(u&(u&a))
((u&a)>~(((~(a)|n)&(n|(u|u)))))
0
0
0
0
not entailment
((u>u)>n)
(u>n)
1
1
1
1
entailment
~(~(u))
(u|u)
1
1
1
1
entailment
((u>u)>n)
(u|u)
0
1
1
1
not entailment
~(~(u))
(u>n)
0
1
0
0
not entailment