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
(i&(w|~(i)))
((h>(i&(~((k>(j>j)))&j)))|((w|h)>u))
0
0
0
0
not entailment
((~(~(k))>w)&u)
~(~(i))
0
1
0
0
not entailment
(~(((k&((j>u)&~(k)))>h))|k)
(i>(k|w))
1
1
0
0
entailment
(i|(i&u))
(i|(u&h))
1
1
0
0
entailment
(~(((k&((j>u)&~(k)))>h))|k)
(i|(u&h))
0
1
0
0
not entailment
(i|(i&u))
(i>(k|w))
0
1
0
0
not entailment
~(((~((e>r))&r)|(v>e)))
(~(~(o))|(e>l))
1
1
0
0
entailment
(v&e)
(n|(e|e))
1
0
0
0
entailment
~(((~((e>r))&r)|(v>e)))
(n|(e|e))
0
1
0
0
not entailment
(v&e)
(~(~(o))|(e>l))
0
0
0
0
not entailment
(~((~(((e&l)>~((g>r))))&(r|h)))&g)
(((~(e)>r)|g)|~((o&((e>(l>v))|l))))
1
1
0
0
entailment
~((v>((g|v)>l)))
~(~(~(~(((v|(g&h))|(g&(e>(h&r))))))))
1
0
0
0
entailment
(~((~(((e&l)>~((g>r))))&(r|h)))&g)
~(~(~(~(((v|(g&h))|(g&(e>(h&r))))))))
0
0
0
0
not entailment
~((v>((g|v)>l)))
(((~(e)>r)|g)|~((o&((e>(l>v))|l))))
0
0
0
0
not entailment
~(((r|l)|~((~(((r>(e>e))&h))&g))))
(r>v)
1
1
0
0
entailment
(((v&v)|r)|(~(e)&r))
(r|v)
1
1
1
1
entailment
~(((r|l)|~((~(((r>(e>e))&h))&g))))
(r|v)
0
1
0
0
not entailment
(((v&v)|r)|(~(e)&r))
(r>v)
0
1
1
0
not entailment
(r&((n>(g>n))>(v|l)))
(e|r)
1
1
0
0
entailment
~((~((l|v))|(~(g)|~(h))))
((n>(o&h))|(~(h)>l))
1
1
0
0
entailment
(r&((n>(g>n))>(v|l)))
((n>(o&h))|(~(h)>l))
0
1
0
0
not entailment
~((~((l|v))|(~(g)|~(h))))
(e|r)
0
1
0
0
not entailment
(~(~((((o>(r&v))>v)>(r>v))))&((r&v)&h))
~(~(~((h>(l&~(r))))))
1
1
0
0
entailment
(g&e)
(e&(~(~((r>(o|r))))>e))
1
0
0
0
entailment
(~(~((((o>(r&v))>v)>(r>v))))&((r&v)&h))
(e&(~(~((r>(o|r))))>e))
0
1
0
0
not entailment
(g&e)
~(~(~((h>(l&~(r))))))
0
0
0
0
not entailment
(e&~(((~(r)>h)&(v>r))))
(v|e)
1
1
1
1
entailment
((o>e)>(v&((l|g)|o)))
(((e>o)|~(~((l|g))))|(r&o))
1
0
0
0
entailment
(e&~(((~(r)>h)&(v>r))))
(((e>o)|~(~((l|g))))|(r&o))
0
0
0
0
not entailment
((o>e)>(v&((l|g)|o)))
(v|e)
0
1
1
0
not entailment
(n&~(((l|r)&(o&h))))
(n|e)
1
1
0
0
entailment
((h&((n>v)|~(~(o))))&~((g&((l|n)&o))))
~((h>~(h)))
1
1
1
1
entailment
(n&~(((l|r)&(o&h))))
~((h>~(h)))
0
1
1
0
not entailment
((h&((n>v)|~(~(o))))&~((g&((l|n)&o))))
(n|e)
0
1
0
0
not entailment
(((g|~(v))|(((v&g)>g)&v))>~(((r|o)|h)))
(((r|v)>o)|((l|~((g|v)))|(v&~(h))))
1
1
0
0
entailment
~((r>h))
(e>(~(n)>r))
1
0
0
0
entailment
(((g|~(v))|(((v&g)>g)&v))>~(((r|o)|h)))
(e>(~(n)>r))
0
1
0
0
not entailment
~((r>h))
(((r|v)>o)|((l|~((g|v)))|(v&~(h))))
0
0
0
0
not entailment
~(((l|g)|(r|r)))
~(r)
1
1
1
1
entailment
~(((~(((h|n)>r))&h)|(v>o)))
(o>~(((h>g)>(r>h))))
1
1
0
0
entailment
~(((l|g)|(r|r)))
(o>~(((h>g)>(r>h))))
0
0
0
0
not entailment
~(((~(((h|n)>r))&h)|(v>o)))
~(r)
0
1
1
0
not entailment
(((g|~(o))&((n>e)&r))&g)
(((n&(n|r))|((g>l)>g))|((r|r)&~((n&v))))
1
0
0
0
entailment
~(((r|h)|(l&((l|~(o))|v))))
~((h&(g&(r>l))))
1
1
0
0
entailment
(((g|~(o))&((n>e)&r))&g)
~((h&(g&(r>l))))
0
1
0
0
not entailment
~(((r|h)|(l&((l|~(o))|v))))
(((n&(n|r))|((g>l)>g))|((r|r)&~((n&v))))
0
0
0
0
not entailment
~((e>(e&h)))
(r|(e|~(~(((g>l)|((g|l)&o))))))
1
0
0
0
entailment
(g|((g&h)&~(((~(r)&(g|g))&((o&v)>e)))))
(g|(((l|o)|o)&g))
1
1
0
0
entailment
~((e>(e&h)))
(g|(((l|o)|o)&g))
0
0
0
0
not entailment
(g|((g&h)&~(((~(r)&(g|g))&((o&v)>e)))))
(r|(e|~(~(((g>l)|((g|l)&o))))))
0
1
0
0
not entailment
((o|(e|v))&(o|e))
(((e|~(h))|o)|(g|(g&h)))
1
0
0
0
entailment
~((((g>~(r))&(h|(~(g)>n)))>(v|l)))
(((l&g)>e)|(r|((v|n)&l)))
1
1
0
0
entailment
((o|(e|v))&(o|e))
(((l&g)>e)|(r|((v|n)&l)))
0
0
0
0
not entailment
~((((g>~(r))&(h|(~(g)>n)))>(v|l)))
(((e|~(h))|o)|(g|(g&h)))
0
1
0
0
not entailment
(((e&l)&o)&(~((r&l))|((n>l)>~(g))))
~((g&r))
1
1
1
1
entailment
~((((o|(g>e))>g)>(n&(r|n))))
(~(n)|((~(v)&(e>(o>o)))|~(n)))
1
0
0
0
entailment
(((e&l)&o)&(~((r&l))|((n>l)>~(g))))
(~(n)|((~(v)&(e>(o>o)))|~(n)))
0
1
0
0
not entailment
~((((o|(g>e))>g)>(n&(r|n))))
~((g&r))
0
1
1
0
not entailment
(~(~(((e|e)&o)))&(~(n)|(~(o)>l)))
(~(((v>v)&g))|(((h|h)&g)>(g&o)))
1
1
0
0
entailment
((l&r)&(e|(~(v)>(g>n))))
((n>r)&((e|l)&(h|r)))
1
1
0
0
entailment
(~(~(((e|e)&o)))&(~(n)|(~(o)>l)))
((n>r)&((e|l)&(h|r)))
0
1
0
0
not entailment
((l&r)&(e|(~(v)>(g>n))))
(~(((v>v)&g))|(((h|h)&g)>(g&o)))
0
0
0
0
not entailment
~(((o&g)>(h&~(h))))
(g|n)
1
1
0
0
entailment
(v&~(~((g|r))))
(((n>n)>~(v))>e)
1
1
0
0
entailment
~(((o&g)>(h&~(h))))
(((n>n)>~(v))>e)
0
1
0
0
not entailment
(v&~(~((g|r))))
(g|n)
0
1
0
0
not entailment
(e&((~((v|g))|r)|h))
~(~((l|~(~((o|(e|((e|g)&h))))))))
1
0
0
0
entailment
(((e&~(e))|~((v>g)))&h)
((~(~(((g>~(h))&(g>v))))>(e>(l|l)))|h)
1
0
0
0
entailment
(e&((~((v|g))|r)|h))
((~(~(((g>~(h))&(g>v))))>(e>(l|l)))|h)
0
0
0
0
not entailment
(((e&~(e))|~((v>g)))&h)
~(~((l|~(~((o|(e|((e|g)&h))))))))
0
0
0
0
not entailment
(e&((g>e)>~(n)))
(((l>(r>r))|(l|(v|o)))&e)
1
0
0
0
entailment
((r>h)>((r|v)&((h&o)&(r&h))))
(r|r)
1
1
1
1
entailment
(e&((g>e)>~(n)))
(r|r)
0
1
0
0
not entailment
((r>h)>((r|v)&((h&o)&(r&h))))
(((l>(r>r))|(l|(v|o)))&e)
0
1
0
0
not entailment
~(((l>l)&~(e)))
(h|e)
1
1
0
0
entailment
((m&w)&(o|u))
(m|~((((m&e)&l)|u)))
1
0
0
0
entailment
~(((l>l)&~(e)))
(m|~((((m&e)&l)|u)))
0
0
0
0
not entailment
((m&w)&(o|u))
(h|e)
0
1
0
0
not entailment
~(~(~(~((h&(u&(w>x)))))))
((((x|(m>l))&~(~(x)))&(h|e))|u)
1
0
0
0
entailment
~((o>x))
(u>o)
1
1
0
0
entailment
~(~(~(~((h&(u&(w>x)))))))
(u>o)
0
1
0
0
not entailment
~((o>x))
((((x|(m>l))&~(~(x)))&(h|e))|u)
0
0
0
0
not entailment
((~(~(~(e)))&~((o>((m&e)|x))))&u)
((o&~(x))|((o>(e>~(l)))&e))
1
1
0
0
entailment
(~((~(m)|l))|~((m|(l>~(m)))))
(m|(~(((x&e)>u))&(~(u)|(l|u))))
1
1
0
0
entailment
((~(~(~(e)))&~((o>((m&e)|x))))&u)
(m|(~(((x&e)>u))&(~(u)|(l|u))))
0
1
0
0
not entailment
(~((~(m)|l))|~((m|(l>~(m)))))
((o&~(x))|((o>(e>~(l)))&e))
0
1
0
0
not entailment
~((~((l&o))&((e|~(l))|(~(l)&(e&e)))))
((x&((m>m)|w))>((w|~(x))>l))
1
1
0
0
entailment
~((((o&h)>e)|((u&u)&~(l))))
(~(e)|x)
1
1
0
0
entailment
~((~((l&o))&((e|~(l))|(~(l)&(e&e)))))
(~(e)|x)
0
1
0
0
not entailment
~((((o&h)>e)|((u&u)&~(l))))
((x&((m>m)|w))>((w|~(x))>l))
0
1
0
0
not entailment
~(((o&((u&(h>x))>l))>w))
((((u|(e>x))>x)&((x>h)>l))>(h|o))
1
0
0
0
entailment
(((~((w&m))|~(o))|w)&~((l>(w&m))))
(((l|u)|e)>l)
1
1
0
0
entailment
~(((o&((u&(h>x))>l))>w))
(((l|u)|e)>l)
0
1
0
0
not entailment
(((~((w&m))|~(o))|w)&~((l>(w&m))))
((((u|(e>x))>x)&((x>h)>l))>(h|o))
0
1
0
0
not entailment
~((l|e))
~((~((~(e)|(o|x)))&~((l|o))))
1
0
0
0
entailment
(((((e>h)|u)|(e&o))&w)|u)
((o>o)&(~(u)>(w|(o|x))))
1
1
0
0
entailment
~((l|e))
((o>o)&(~(u)>(w|(o|x))))
0
0
0
0
not entailment
(((((e>h)|u)|(e&o))&w)|u)
~((~((~(e)|(o|x)))&~((l|o))))
0
0
0
0
not entailment
~(((o>(w>w))&(~(h)|~((u&x)))))
((u|h)>((x|l)|(u&(x>e))))
1
1
0
0
entailment
~(((u|(m|(e&o)))|o))
(~((x>(w>l)))|(x>~(u)))
1
0
0
0
entailment