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
(~(z)&(i|u))
(i|((l|i)|u))
1
1
0
0
entailment
((z&(n>~(i)))&((z|(n|((i|l)>u)))|(r&r)))
(r>(z|z))
1
1
1
0
entailment
(~(z)&(i|u))
(r>(z|z))
0
1
0
0
not entailment
((z&(n>~(i)))&((z|(n|((i|l)>u)))|(r&r)))
(i|((l|i)|u))
0
1
1
0
not entailment
~(((l&i)>h))
((n&r)|((u>~(r))>(~(r)>l)))
1
0
0
0
entailment
~(~((((~(u)>((~(i)&r)>r))>(z>r))>z)))
((i>(((i>(r|n))>i)>(~(h)|(n|h))))>(z|u))
1
1
0
0
entailment
~(((l&i)>h))
((i>(((i>(r|n))>i)>(~(h)|(n|h))))>(z|u))
0
0
0
0
not entailment
~(~((((~(u)>((~(i)&r)>r))>(z>r))>z)))
((n&r)|((u>~(r))>(~(r)>l)))
0
1
0
0
not entailment
((i|i)&(~(~(l))|i))
(((z|z)>(l&l))>i)
1
1
0
0
entailment
(~(~((r&(r&n))))&n)
(((~(n)>n)>(h>z))|((i|(i>(z>r)))&r))
1
0
0
0
entailment
((i|i)&(~(~(l))|i))
(((~(n)>n)>(h>z))|((i|(i>(z>r)))&r))
0
0
0
0
not entailment
(~(~((r&(r&n))))&n)
(((z|z)>(l&l))>i)
0
1
0
0
not entailment
((i>r)&(i|((z&~(r))&r)))
~(~(~(((u>i)&(n&~((r&r)))))))
1
0
0
0
entailment
~((((n|n)>n)>~(((l&z)|z))))
(((l>i)>z)|~((i|(i&i))))
1
1
0
0
entailment
((i>r)&(i|((z&~(r))&r)))
(((l>i)>z)|~((i|(i&i))))
0
1
0
0
not entailment
~((((n|n)>n)>~(((l&z)|z))))
~(~(~(((u>i)&(n&~((r&r)))))))
0
0
0
0
not entailment
~((((u&z)&(r|~((i>(z>z)))))>i))
(~(h)|~(i))
1
1
0
0
entailment
(h&r)
~(((n>(r|i))&~((~((h&z))>(~(z)|l)))))
1
0
0
0
entailment
~((((u&z)&(r|~((i>(z>z)))))>i))
~(((n>(r|i))&~((~((h&z))>(~(z)|l)))))
0
0
0
0
not entailment
(h&r)
(~(h)|~(i))
0
0
0
0
not entailment
((h&~(n))&(l>~(~(~(u)))))
((~(((i&l)&(z>r)))&n)>(z|z))
1
1
0
0
entailment
~((r>l))
((z|(n>l))>(~(((n|u)&n))>r))
1
0
0
0
entailment
((h&~(n))&(l>~(~(~(u)))))
((z|(n>l))>(~(((n|u)&n))>r))
0
1
0
0
not entailment
~((r>l))
((~(((i&l)&(z>r)))&n)>(z|z))
0
0
0
0
not entailment
~(((z|h)|l))
((((i&z)&u)>((h&h)&z))|h)
1
0
0
0
entailment
(i&r)
~(~((~((u>l))|(r&(l>r)))))
1
0
0
0
entailment
~(((z|h)|l))
~(~((~((u>l))|(r&(l>r)))))
0
0
0
0
not entailment
(i&r)
((((i&z)&u)>((h&h)&z))|h)
0
0
0
0
not entailment
~(((r&(u&(z>n)))>n))
(r&(r|u))
1
1
1
1
entailment
((((i|(h&z))|(u&l))>h)&(~(~(~(l)))&i))
(l>(u>i))
1
1
1
1
entailment
~(((r&(u&(z>n)))>n))
(l>(u>i))
0
1
0
0
not entailment
((((i|(h&z))|(u&l))>h)&(~(~(~(l)))&i))
(r&(r|u))
0
1
0
0
not entailment
~(((l&u)>(i|~(h))))
(((~(u)&(((i>l)|i)>~(l)))&(h>u))>l)
1
0
1
0
entailment
((((z>u)|n)>((u&z)&h))&~(((i|l)>r)))
((r&(z&(n&z)))>((z>r)&(n>i)))
1
1
1
0
entailment
~(((l&u)>(i|~(h))))
((r&(z&(n&z)))>((z>r)&(n>i)))
0
0
0
0
not entailment
((((z>u)|n)>((u&z)&h))&~(((i|l)>r)))
(((~(u)&(((i>l)|i)>~(l)))&(h>u))>l)
0
1
1
0
not entailment
((~(((z|r)&l))&u)&z)
((~((z&h))&h)>(~(r)>(((l&u)|n)>l)))
1
0
0
0
entailment
~(i)
(n>~(i))
1
0
0
0
entailment
((~(((z|r)&l))&u)&z)
(n>~(i))
0
1
0
0
not entailment
~(i)
((~((z&h))&h)>(~(r)>(((l&u)|n)>l)))
0
0
0
0
not entailment
~((((n&(h>(i&r)))|(z|n))|((i&r)&(z>z))))
(z>u)
1
1
0
0
entailment
((n>u)&l)
(((i&((r&z)&z))>(~((r&u))>l))>l)
1
0
0
0
entailment
~((((n&(h>(i&r)))|(z|n))|((i&r)&(z>z))))
(((i&((r&z)&z))>(~((r&u))>l))>l)
0
1
0
0
not entailment
((n>u)&l)
(z>u)
0
1
0
0
not entailment
(n&(r>n))
~(((z>r)&(~(l)&(~(n)&z))))
1
0
0
0
entailment
~((r>(~((z&u))|h)))
((l>z)>((l>(u>z))&u))
1
1
0
0
entailment
(n&(r>n))
((l>z)>((l>(u>z))&u))
0
0
0
0
not entailment
~((r>(~((z&u))|h)))
~(((z>r)&(~(l)&(~(n)&z))))
0
0
0
0
not entailment
(e&e)
(e|e)
1
1
1
1
entailment
(((e|e)|e)>~((e>((e&e)&(e|((e>e)&e))))))
~((((e>e)|((e>e)>(e&e)))>e))
1
1
1
1
entailment
(e&e)
~((((e>e)|((e>e)>(e&e)))>e))
0
0
1
0
not entailment
(((e|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&e)
1
1
1
1
entailment
(~((e|((e>e)&(e&e))))&(e|~(((e>e)>e))))
(~(~(~(((e|e)>e))))|(~(e)&~(e)))
1
1
1
1
entailment
~(((e|(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)>e))))
(e&e)
0
1
1
1
not entailment
((e|e)|(((e>e)>((e&(e&~(e)))&~(e)))&e))
(e|(e|e))
1
1
1
1
entailment
~(~(~(((e>e)&(e|((e&e)&e))))))
~(e)
1
1
1
1
entailment
((e|e)|(((e>e)>((e&(e&~(e)))&~(e)))&e))
~(e)
0
1
1
1
not entailment
~(~(~(((e>e)&(e|((e&e)&e))))))
(e|(e|e))
0
1
1
1
not entailment
(v&~(((u>t)>b)))
(((d>h)&b)>~((t&(~(v)&l))))
1
0
0
0
entailment
((u&(t|v))&~((~(b)|~((j&w)))))
~(((~(w)>w)&((~(b)>(u&u))>~(b))))
1
0
1
0
entailment
(v&~(((u>t)>b)))
~(((~(w)>w)&((~(b)>(u&u))>~(b))))
0
0
0
0
not entailment
((u&(t|v))&~((~(b)|~((j&w)))))
(((d>h)&b)>~((t&(~(v)&l))))
0
1
0
0
not entailment
(~((~((v>(~((k>u))|(t&(j>t)))))>b))&u)
((((l&j)&d)&(~(k)|(u>h)))>((h|v)>u))
1
1
0
0
entailment
~((((k|t)>w)>(d>v)))
(~(w)|(v>~(d)))
1
1
1
0
entailment
(~((~((v>(~((k>u))|(t&(j>t)))))>b))&u)
(~(w)|(v>~(d)))
0
1
0
0
not entailment
~((((k|t)>w)>(d>v)))
((((l&j)&d)&(~(k)|(u>h)))>((h|v)>u))
0
0
0
0
not entailment
((~(((l|w)>(w>d)))>((k&v)>d))>(h&v))
(u|(v|k))
1
1
0
0
entailment
(j&~(k))
((l&l)>((k&u)|(~((b|u))>(j|h))))
1
0
0
0
entailment
((~(((l|w)>(w>d)))>((k&v)>d))>(h&v))
((l&l)>((k&u)|(~((b|u))>(j|h))))
0
1
0
0
not entailment
(j&~(k))
(u|(v|k))
0
1
0
0
not entailment
((w&t)|w)
((b|w)|(h|h))
1
0
0
0
entailment
((~(h)&v)&((b>d)|~((w&((d&h)&b)))))
((~(b)&l)>((h&v)>~(~(u))))
1
1
0
0
entailment
((w&t)|w)
((~(b)&l)>((h&v)>~(~(u))))
0
0
0
0
not entailment
((~(h)&v)&((b>d)|~((w&((d&h)&b)))))
((b|w)|(h|h))
0
1
1
0
not entailment
(~((b>k))&(k>(t>~(d))))
~(~(((b|~((l&(~(k)|w))))>(b|h))))
1
0
0
0
entailment
~((~(((k&v)>(t&d)))|l))
(~((~(t)&(j&l)))|w)
1
1
0
0
entailment
(~((b>k))&(k>(t>~(d))))
(~((~(t)&(j&l)))|w)
0
1
0
0
not entailment
~((~(((k&v)>(t&d)))|l))
~(~(((b|~((l&(~(k)|w))))>(b|h))))
0
0
0
0
not entailment
(~(~(l))&(~(j)&(u|j)))
~(((j&d)&(((w>w)>k)&b)))
1
1
0
0
entailment
(~(t)>(~((~(~(l))|~(b)))&l))
((~(t)&w)>(j|d))
1
1
0
0
entailment
(~(~(l))&(~(j)&(u|j)))
((~(t)&w)>(j|d))
0
1
0
0
not entailment
(~(t)>(~((~(~(l))|~(b)))&l))
~(((j&d)&(((w>w)>k)&b)))
0
1
0
0
not entailment
~((~(~(u))>v))
((((l&h)|d)&j)|((u&(h&v))>d))
1
0
0
0
entailment
((t&j)&t)
(j&((h|l)|t))
1
0
0
0
entailment
~((~(~(u))>v))
(j&((h|l)|t))
0
1
0
0
not entailment
((t&j)&t)
((((l&h)|d)&j)|((u&(h&v))>d))
0
0
0
0
not entailment
~(~(((b|(b&l))&w)))
((k|l)>(((u&v)>j)>(v>w)))
1
0
0
0
entailment
((k&b)&((~(w)>v)|b))
(~(l)>((((h>j)>~(~(k)))&k)|(w>t)))
1
0
0
0
entailment
~(~(((b|(b&l))&w)))
(~(l)>((((h>j)>~(~(k)))&k)|(w>t)))
0
0
0
0
not entailment
((k&b)&((~(w)>v)|b))
((k|l)>(((u&v)>j)>(v>w)))
0
0
0
0
not entailment
~((j|b))
~(~(~(b)))
1
0
1
1
entailment
((((t|t)>d)>h)&(~((v&v))&b))
~(v)
1
1
1
1
entailment
~((j|b))
~(v)
0
1
0
0
not entailment
((((t|t)>d)>h)&(~((v&v))&b))
~(~(~(b)))
0
1
1
0
not entailment
~((v|(b|v)))
((v>(v>~((d|(v>j)))))|(~(((u|t)>d))&d))
1
0
0
0
entailment
~((((l|h)&w)|(d|l)))
((l>j)|d)
1
1
0
0
entailment
~((v|(b|v)))
((l>j)|d)
0
1
0
0
not entailment
~((((l|h)&w)|(d|l)))
((v>(v>~((d|(v>j)))))|(~(((u|t)>d))&d))
0
0
0
0
not entailment