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
((n>e)&((n&c)|(c|((m&k)|c))))
(~((~(~(~((m|p))))&(m>e)))>(c|(p>m)))
1
0
0
0
entailment
((e&k)&k)
(~((~(~(~((m|p))))&(m>e)))>(c|(p>m)))
0
0
0
0
not entailment
((n>e)&((n&c)|(c|((m&k)|c))))
((e|(~(e)>y))|~((~(n)|(((k&n)&k)>k))))
0
0
0
0
not entailment
~(((z>k)>(e>k)))
~(~((~(n)|(e|(z&(c&(k>y)))))))
1
0
0
0
entailment
((p&n)&n)
(y|(y|~(~(((n|c)&(p|p))))))
1
0
0
0
entailment
~(((z>k)>(e>k)))
(y|(y|~(~(((n|c)&(p|p))))))
0
0
0
0
not entailment
((p&n)&n)
~(~((~(n)|(e|(z&(c&(k>y)))))))
0
0
0
0
not entailment
((~((z>z))>(c>c))>(k&e))
(~((z|(y&c)))|e)
1
1
0
0
entailment
(~(~(~((~(c)>c))))&(p&((k>m)>k)))
((e&k)>(k>p))
1
1
0
0
entailment
((~((z>z))>(c>c))>(k&e))
((e&k)>(k>p))
0
1
0
0
not entailment
(~(~(~((~(c)>c))))&(p&((k>m)>k)))
(~((z|(y&c)))|e)
0
1
0
0
not entailment
(((m&z)&k)|(~(c)&~((c>(y&z)))))
~(~((~(~(k))|(m&((p>e)&k)))))
1
1
0
0
entailment
~((~(c)|(n>k)))
((n|y)&(n>n))
1
1
0
0
entailment
(((m&z)&k)|(~(c)&~((c>(y&z)))))
((n|y)&(n>n))
0
1
0
0
not entailment
~((~(c)|(n>k)))
~(~((~(~(k))|(m&((p>e)&k)))))
0
0
0
0
not entailment
((e&(n|c))&p)
(e|z)
1
1
0
0
entailment
(~((p>y))&~(c))
~(~(((((m|y)&z)&(~(m)|y))>~((m&n)))))
1
0
0
0
entailment
((e&(n|c))&p)
~(~(((((m|y)&z)&(~(m)|y))>~((m&n)))))
0
0
0
0
not entailment
(~((p>y))&~(c))
(e|z)
0
1
0
0
not entailment
~(((~(n)|c)|(e>(z>(y|k)))))
(p>(~(c)&((c|z)>p)))
1
1
0
0
entailment
(~((n>(m>y)))&((z>n)&c))
((~(p)|y)>(y|c))
1
1
0
0
entailment
~(((~(n)|c)|(e>(z>(y|k)))))
((~(p)|y)>(y|c))
0
1
0
0
not entailment
(~((n>(m>y)))&((z>n)&c))
(p>(~(c)&((c|z)>p)))
0
1
0
0
not entailment
(~(((z&n)|p))&~(((m&k)>e)))
((p>~(m))&(m|n))
1
1
1
0
entailment
((~(((n|p)|~(((m>y)&(c&e)))))>y)>p)
((k&k)>(p|c))
1
1
0
0
entailment
(~(((z&n)|p))&~(((m&k)>e)))
((k&k)>(p|c))
0
1
0
0
not entailment
((~(((n|p)|~(((m>y)&(c&e)))))>y)>p)
((p>~(m))&(m|n))
0
1
1
0
not entailment
(((n|c)&z)&((n|(m>y))|(y>(((m|y)&k)&k))))
((y|m)|(c|~(~(z))))
1
1
1
1
entailment
((y>e)&((c>y)&(k&(p>z))))
(~(((((n&y)|(p|k))&z)|(n>m)))>k)
1
0
0
0
entailment
(((n|c)&z)&((n|(m>y))|(y>(((m|y)&k)&k))))
(~(((((n&y)|(p|k))&z)|(n>m)))>k)
0
1
0
0
not entailment
((y>e)&((c>y)&(k&(p>z))))
((y|m)|(c|~(~(z))))
0
1
0
0
not entailment
~(((z|((c|(~(p)&y))&~(p)))|k))
((((k>n)>(c>c))>(z>z))&(k>(n>z)))
1
1
0
0
entailment
((~(z)>y)&(y|y))
((~(p)|y)|(~((y&(m&(p>n))))&(e|c)))
1
0
0
0
entailment
~(((z|((c|(~(p)&y))&~(p)))|k))
((~(p)|y)|(~((y&(m&(p>n))))&(e|c)))
0
0
0
0
not entailment
((~(z)>y)&(y|y))
((((k>n)>(c>c))>(z>z))&(k>(n>z)))
0
0
0
0
not entailment
(b&b)
(~(((s|(v|l))|(h|(~((j|(b>s)))|b))))>u)
1
0
0
0
entailment
(j&(((~((i>r))|u)>s)&(s>~(r))))
((v|u)>j)
1
1
0
0
entailment
(b&b)
((v|u)>j)
0
0
0
0
not entailment
(j&(((~((i>r))|u)>s)&(s>~(r))))
(~(((s|(v|l))|(h|(~((j|(b>s)))|b))))>u)
0
0
0
0
not entailment
(b&v)
((r|(l|j))|(~(((i&s)>(((h>r)|u)>g)))|b))
1
0
0
0
entailment
(~((r&(j|(r|b))))&(r|(~(r)&(r>(u&i)))))
(((s&i)&(b>~((~(l)|v))))|(r>((s|l)&l)))
1
1
0
0
entailment
(b&v)
(((s&i)&(b>~((~(l)|v))))|(r>((s|l)&l)))
0
0
0
0
not entailment
(~((r&(j|(r|b))))&(r|(~(r)&(r>(u&i)))))
((r|(l|j))|(~(((i&s)>(((h>r)|u)>g)))|b))
0
1
0
0
not entailment
(r&i)
(r|b)
1
1
0
0
entailment
~(((~(v)|((g|g)|((i|h)&u)))|(b|(u>i))))
~((~(i)>i))
1
1
1
1
entailment
(r&i)
~((~(i)>i))
0
0
1
0
not entailment
~(((~(v)|((g|g)|((i|h)&u)))|(b|(u>i))))
(r|b)
0
1
0
0
not entailment
~((((j>r)&(s>(s&l)))|(l|s)))
((i|(l>b))|(u|h))
1
1
0
0
entailment
((r>~((l>g)))&(((i|l)&l)&~((h|b))))
~(((~(g)&b)|(b&(h&s))))
1
1
0
0
entailment
~((((j>r)&(s>(s&l)))|(l|s)))
~(((~(g)&b)|(b&(h&s))))
0
1
0
0
not entailment
((r>~((l>g)))&(((i|l)&l)&~((h|b))))
((i|(l>b))|(u|h))
0
1
0
0
not entailment
~(((~(((j&(r|u))|u))|j)|~(~(g))))
((j&v)>((~(b)&~(~(~(g))))&((i|u)&r)))
1
0
0
0
entailment
~((~((s>((u|h)|l)))>((b>l)&b)))
((b&l)>s)
1
1
1
1
entailment
~(((~(((j&(r|u))|u))|j)|~(~(g))))
((b&l)>s)
0
1
0
0
not entailment
~((~((s>((u|h)|l)))>((b>l)&b)))
((j&v)>((~(b)&~(~(~(g))))&((i|u)&r)))
0
0
0
0
not entailment
(~(j)&(~(~(h))&(s&v)))
(l>v)
1
1
0
0
entailment
~((((b&i)>~((~(g)|v)))|~(u)))
((i&(s&g))>b)
1
1
0
0
entailment
(~(j)&(~(~(h))&(s&v)))
((i&(s&g))>b)
0
1
0
0
not entailment
~((((b&i)>~((~(g)|v)))|~(u)))
(l>v)
0
1
0
0
not entailment
((b>g)&s)
((~(j)|~(~(v)))>s)
1
0
0
0
entailment
((s>h)&(b|h))
(v|(b|h))
1
1
0
0
entailment
((b>g)&s)
(v|(b|h))
0
1
0
0
not entailment
((s>h)&(b|h))
((~(j)|~(~(v)))>s)
0
0
0
0
not entailment
(((s>~((r>j)))&s)&((v|g)&~(g)))
~(((l&(i|(u>s)))&(j&u)))
1
1
0
0
entailment
~(~((l&(~(~(l))>((j&i)&(u&g))))))
(~(j)>((g|i)&~((~(~(i))|(~(l)&i)))))
1
0
1
0
entailment
(((s>~((r>j)))&s)&((v|g)&~(g)))
(~(j)>((g|i)&~((~(~(i))|(~(l)&i)))))
0
0
0
0
not entailment
~(~((l&(~(~(l))>((j&i)&(u&g))))))
~(((l&(i|(u>s)))&(j&u)))
0
1
0
0
not entailment
~(((((v|r)&(g|u))&v)>(g|l)))
((~((g&h))|((l&(~(r)|g))|v))|i)
1
0
0
0
entailment
(((b&h)&r)&((s>(g>h))|j))
((r|s)>(b|b))
1
1
1
0
entailment
~(((((v|r)&(g|u))&v)>(g|l)))
((r|s)>(b|b))
0
1
0
0
not entailment
(((b&h)&r)&((s>(g>h))|j))
((~((g&h))|((l&(~(r)|g))|v))|i)
0
0
0
0
not entailment
~((h>j))
(j>(((g&(i>((r&h)|~((r>r)))))|g)>(b&i)))
1
0
0
0
entailment
(~((~((~(b)|~(h)))|((u>u)>b)))&(v>b))
(u>~(b))
1
1
1
1
entailment
~((h>j))
(u>~(b))
0
1
0
0
not entailment
(~((~((~(b)|~(h)))|((u>u)>b)))&(v>b))
(j>(((g&(i>((r&h)|~((r>r)))))|g)>(b&i)))
0
1
0
0
not entailment
(v&(~(i)&s))
((((u|b)|~((u&j)))>v)&(((s>j)|b)>v))
1
0
0
0
entailment
~((~(~(((l>h)>g)))|~(~((s|g)))))
(j>(~(((g&(h|v))&v))|r))
1
1
0
0
entailment
(v&(~(i)&s))
(j>(~(((g&(h|v))&v))|r))
0
0
0
0
not entailment
~((~(~(((l>h)>g)))|~(~((s|g)))))
((((u|b)|~((u&j)))>v)&(((s>j)|b)>v))
0
1
0
0
not entailment
(((h|r)&v)&(r>i))
((((g>u)&(u&l))>(j|h))|i)
1
0
0
0
entailment
((l&s)&(h|~(h)))
(j|(~((v>h))|s))
1
1
0
0
entailment
(((h|r)&v)&(r>i))
(j|(~((v>h))|s))
0
1
0
0
not entailment
((l&s)&(h|~(h)))
((((g>u)&(u&l))>(j|h))|i)
0
0
0
0
not entailment
((~((h&b))>(j>((g>g)>v)))>(r&u))
(~(i)>((~(r)>b)>(u|((s&h)>(j|j)))))
1
0
0
0
entailment
~((~((l&r))|(j|i)))
(i>~((h&((i>l)&i))))
1
1
0
0
entailment
((~((h&b))>(j>((g>g)>v)))>(r&u))
(i>~((h&((i>l)&i))))
0
1
0
0
not entailment
~((~((l&r))|(j|i)))
(~(i)>((~(r)>b)>(u|((s&h)>(j|j)))))
0
0
0
0
not entailment
~((l|i))
~(i)
1
1
1
1
entailment
((s&u)&((b|(h&s))>~((v>((b|v)&s)))))
((b>l)&(~(((v>b)&((j>l)>s)))>(h>g)))
1
1
0
0
entailment
~((l|i))
((b>l)&(~(((v>b)&((j>l)>s)))>(h>g)))
0
0
0
0
not entailment
((s&u)&((b|(h&s))>~((v>((b|v)&s)))))
~(i)
0
1
0
0
not entailment
~((~((b|(s&v)))|(j>(l|(r>s)))))
(~((h&l))&(~(~(((g|~(r))&(u&b))))>u))
1
0
0
0
entailment
(((((~(i)|v)>(u&(v&r)))>j)|s)&h)
(((~(~((g|u)))|(b&((i>i)>j)))>s)|h)
1
0
0
0
entailment
~((~((b|(s&v)))|(j>(l|(r>s)))))
(((~(~((g|u)))|(b&((i>i)>j)))>s)|h)
0
0
0
0
not entailment
(((((~(i)|v)>(u&(v&r)))>j)|s)&h)
(~((h&l))&(~(~(((g|~(r))&(u&b))))>u))
0
0
0
0
not entailment
(h&(~((~(z)&(~(h)>z)))&k))
(z|(z|~((k|((k>(k|h))|(~(h)&b))))))
1
0
0
0
entailment
~((z|k))
((k|k)>b)
1
1
0
0
entailment
(h&(~((~(z)&(~(h)>z)))&k))
((k|k)>b)
0
1
0
0
not entailment
~((z|k))
(z|(z|~((k|((k>(k|h))|(~(h)&b))))))
0
0
0
0
not entailment
(((h>h)&(b|~((k>h))))&h)
((b|z)|(k&b))
1
1
0
0
entailment