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
(~(e)&o)
(v>((v|(v&v))&(j&((e|j)&v))))
0
0
0
0
not entailment
(((j&(u|o))&((b|u)>v))&(e|u))
(b|o)
0
1
1
0
not entailment
~((v|((~(~(b))&(o|o))>((v&e)&v))))
((v&((o|b)>(((j>o)>b)&b)))>~((v&(b|e))))
1
0
0
0
entailment
((~(b)>o)&((~(u)&j)&((u>(v>(o>j)))&v)))
((o>~(((j|o)&v)))>(u>e))
1
1
0
0
entailment
~((v|((~(~(b))&(o|o))>((v&e)&v))))
((o>~(((j|o)&v)))>(u>e))
0
1
0
0
not entailment
((~(b)>o)&((~(u)&j)&((u>(v>(o>j)))&v)))
((v&((o|b)>(((j>o)>b)&b)))>~((v&(b|e))))
0
1
0
0
not entailment
((j|u)&(~(b)|(e|(e>u))))
(~(~(u))|(j&j))
1
1
1
1
entailment
~(((b&v)>((~(e)&b)>(b>(o>j)))))
(b|((o&o)|~((v|o))))
1
1
1
0
entailment
((j|u)&(~(b)|(e|(e>u))))
(b|((o&o)|~((v|o))))
0
1
0
0
not entailment
~(((b&v)>((~(e)&b)>(b>(o>j)))))
(~(~(u))|(j&j))
0
1
0
0
not entailment
(((u|j)&v)|(o>u))
(o>((u|j)|(((v>~(j))&o)>(v>e))))
1
0
0
0
entailment
(o|v)
(~(~((e>o)))|(v|(j|(b&~(~((b>v)))))))
1
0
0
0
entailment
(((u|j)&v)|(o>u))
(~(~((e>o)))|(v|(j|(b&~(~((b>v)))))))
0
0
0
0
not entailment
(o|v)
(o>((u|j)|(((v>~(j))&o)>(v>e))))
0
0
0
0
not entailment
~(~(u))
(v|((~(~((j>o)))>u)&(j|u)))
1
0
0
0
entailment
((o>(b&u))>o)
~((~(((o>o)>o))&(v>(e&(v&j)))))
1
0
0
0
entailment
~(~(u))
~((~(((o>o)>o))&(v>(e&(v&j)))))
0
0
0
0
not entailment
((o>(b&u))>o)
(v|((~(~((j>o)))>u)&(j|u)))
0
0
0
0
not entailment
((o&e)&(~((v&v))|j))
(~(~((~(e)|~(e))))>~(((v|j)>v)))
1
0
1
0
entailment
(u&b)
~(~((~(~(j))>b)))
1
0
0
0
entailment
((o&e)&(~((v&v))|j))
~(~((~(~(j))>b)))
0
1
0
0
not entailment
(u&b)
(~(~((~(e)|~(e))))>~(((v|j)>v)))
0
0
0
0
not entailment
(b&(b>(u&o)))
((o|o)|j)
1
1
0
0
entailment
(v>(~((o|(e&u)))&~((v|j))))
~((v&((v&u)|~(((u|~(e))>e)))))
1
0
1
0
entailment
(b&(b>(u&o)))
~((v&((v&u)|~(((u|~(e))>e)))))
0
0
0
0
not entailment
(v>(~((o|(e&u)))&~((v|j))))
((o|o)|j)
0
1
1
0
not entailment
((e&j)&e)
~(~(j))
1
1
1
1
entailment
(((e>b)&(v|e))&(u&u))
(~(~((e>~((j&o)))))|(b|(e>u)))
1
0
0
0
entailment
((e&j)&e)
(~(~((e>~((j&o)))))|(b|(e>u)))
0
0
0
0
not entailment
(((e>b)&(v|e))&(u&u))
~(~(j))
0
1
0
0
not entailment
~((u>((b|((e&o)>(j&j)))|j)))
((~(o)&(b|(v>j)))|o)
1
1
0
0
entailment
((~(b)|~(((~(u)&o)&v)))&(v&(b>o)))
(~(~((j>(((b|b)>v)>v))))>(v|v))
1
1
0
0
entailment
~((u>((b|((e&o)>(j&j)))|j)))
(~(~((j>(((b|b)>v)>v))))>(v|v))
0
0
0
0
not entailment
((~(b)|~(((~(u)&o)&v)))&(v&(b>o)))
((~(o)&(b|(v>j)))|o)
0
1
0
0
not entailment
(v&u)
(((o|~(o))&(j>(e&u)))|((j&j)&u))
1
0
0
0
entailment
~((~((e&o))>(((u>j)>j)>(o>v))))
(((j|u)>(j|o))|o)
1
1
1
0
entailment
(v&u)
(((j|u)>(j|o))|o)
0
0
0
0
not entailment
~((~((e&o))>(((u>j)>j)>(o>v))))
(((o|~(o))&(j>(e&u)))|((j&j)&u))
0
1
1
0
not entailment
(~((v|b))&((~(v)|e)|v))
(((o|u)>j)|((o&(u&j))|(o>~((o>v)))))
1
0
0
0
entailment
~((b|~((u>o))))
~((~(o)&((o>u)&u)))
1
0
1
1
entailment
(~((v|b))&((~(v)|e)|v))
~((~(o)&((o>u)&u)))
0
1
0
0
not entailment
~((b|~((u>o))))
(((o|u)>j)|((o&(u&j))|(o>~((o>v)))))
0
0
0
0
not entailment
(e&(o&b))
((j|~(o))>o)
1
0
0
0
entailment
(j&~(o))
((((b|(u&j))|j)|(e&(v|o)))&(o>(~(e)|v)))
1
0
0
0
entailment
(e&(o&b))
((((b|(u&j))|j)|(e&(v|o)))&(o>(~(e)|v)))
0
0
0
0
not entailment
(j&~(o))
((j|~(o))>o)
0
0
1
0
not entailment
~((~(((b>(o|b))>o))>((v>(e>e))&(b|e))))
(b>(~(o)>u))
1
1
0
0
entailment
(v&(j|~(~((o&e)))))
(~((v|v))>o)
1
1
1
1
entailment
~((~(((b>(o|b))>o))>((v>(e>e))&(b|e))))
(~((v|v))>o)
0
1
1
1
not entailment
(v&(j|~(~((o&e)))))
(b>(~(o)>u))
0
1
0
0
not entailment
(v&~(~(e)))
(~(b)|((~(e)&b)>~((((o|v)>(o|u))&o))))
1
0
0
0
entailment
(((e&o)|o)&(b|~(~((~((u|u))|(u|o))))))
((((~(o)>(~(b)|j))|(u|(j&b)))|o)|o)
1
1
0
0
entailment
(v&~(~(e)))
((((~(o)>(~(b)|j))|(u|(j&b)))|o)|o)
0
0
0
0
not entailment
(((e&o)|o)&(b|~(~((~((u|u))|(u|o))))))
(~(b)|((~(e)&b)>~((((o|v)>(o|u))&o))))
0
1
0
0
not entailment
((~((i&r))|o)>(~(r)>(q&r)))
((i&(o|i))|(r|(o&(q|(i&r)))))
1
1
1
0
entailment
(~((r|q))&o)
((i&(o|o))|(~(q)&((((r|o)>r)&(q&o))>q)))
1
0
0
0
entailment
((~((i&r))|o)>(~(r)>(q&r)))
((i&(o|o))|(~(q)&((((r|o)>r)&(q&o))>q)))
0
0
1
0
not entailment
(~((r|q))&o)
((i&(o|i))|(r|(o&(q|(i&r)))))
0
0
0
0
not entailment
(~(~(((i&(i|o))&~(i))))|((i>o)&i))
((((i|r)&q)|q)>o)
1
1
0
0
entailment
(~(~(((i|~(q))|i)))&q)
((r>(((((r>r)|o)|r)>q)&r))&((o&q)|i))
1
0
0
0
entailment
(~(~(((i&(i|o))&~(i))))|((i>o)&i))
((r>(((((r>r)|o)|r)>q)&r))&((o&q)|i))
0
1
0
0
not entailment
(~(~(((i|~(q))|i)))&q)
((((i|r)&q)|q)>o)
0
1
0
0
not entailment
(q>~((r>i)))
((q>r)|(q>i))
1
1
1
0
entailment
((q|q)&o)
~(~(q))
1
1
1
1
entailment
(q>~((r>i)))
~(~(q))
0
1
1
0
not entailment
((q|q)&o)
((q>r)|(q>i))
0
0
0
0
not entailment
~((i>(((r|~((i>q)))|~((r&o)))&(q&q))))
(~((q&q))|(i&((q&o)|i)))
1
1
1
1
entailment
(r&~(~(o)))
((o|r)>r)
1
1
1
0
entailment
~((i>(((r|~((i>q)))|~((r&o)))&(q&q))))
((o|r)>r)
0
1
1
0
not entailment
(r&~(~(o)))
(~((q&q))|(i&((q&o)|i)))
0
0
0
0
not entailment
~((~(i)>((~((r>r))|~(q))>o)))
~(~(~((o&i))))
1
1
1
1
entailment
(~(r)&(((q&i)>~(i))>((q|q)&r)))
(o|((o>(~(q)&o))>~((q>r))))
1
1
0
0
entailment
~((~(i)>((~((r>r))|~(q))>o)))
(o|((o>(~(q)&o))>~((q>r))))
0
1
1
0
not entailment
(~(r)&(((q&i)>~(i))>((q|q)&r)))
~(~(~((o&i))))
0
1
0
0
not entailment
(i&r)
((r|o)&(i&(o>(o&i))))
1
0
0
0
entailment
(q&i)
(q|(((o>i)|i)>o))
1
0
0
0
entailment
(i&r)
(q|(((o>i)|i)>o))
0
0
0
0
not entailment
(q&i)
((r|o)&(i&(o>(o&i))))
0
0
0
0
not entailment
~(~((r&((o>i)>o))))
(~((~(r)&(o&q)))|(q&(r&o)))
1
0
0
0
entailment
((i&q)&~((q&r)))
~((~(~(q))>(r&o)))
1
0
0
0
entailment
~(~((r&((o>i)>o))))
~((~(~(q))>(r&o)))
0
1
0
0
not entailment
((i&q)&~((q&r)))
(~((~(r)&(o&q)))|(q&(r&o)))
0
0
0
0
not entailment
~((((~(i)&(~(i)|r))&o)|~(o)))
(q|((i|q)|(i|((o|r)>r))))
1
1
0
0
entailment
~(i)
((q&(i|i))>(o&r))
1
0
0
0
entailment
~((((~(i)&(~(i)|r))&o)|~(o)))
((q&(i|i))>(o&r))
0
1
0
0
not entailment
~(i)
(q|((i|q)|(i|((o|r)>r))))
0
0
0
0
not entailment
(((q&r)&(i&~(i)))|(((q&~(q))&r)|r))
((i&r)|((i>q)|~(((r&q)>i))))
1
1
1
1
entailment
((r>q)|o)
((r>o)|(q&q))
1
0
1
1
entailment
(((q&r)&(i&~(i)))|(((q&~(q))&r)|r))
((r>o)|(q&q))
0
1
0
0
not entailment
((r>q)|o)
((i&r)|((i>q)|~(((r&q)>i))))
0
0
0
0
not entailment
((o>(q&r))&((r|((r|q)|(r&o)))&(i>o)))
(~((o&~((~(i)&(o>q)))))>(i>q))
1
1
1
0
entailment
~((~(~((o|r)))>q))
(((i|~(q))&~((o&(q&r))))|o)
1
0
0
0
entailment
((o>(q&r))&((r|((r|q)|(r&o)))&(i>o)))
(((i|~(q))&~((o&(q&r))))|o)
0
1
1
0
not entailment
~((~(~((o|r)))>q))
(~((o&~((~(i)&(o>q)))))>(i>q))
0
0
0
0
not entailment
(~((~(o)&r))&(((q|q)&i)&o))
(o|r)
1
1
1
0
entailment
~((r|o))
~((o|o))
1
1
1
1
entailment
(~((~(o)&r))&(((q|q)&i)&o))
~((o|o))
0
1
1
0
not entailment
~((r|o))
(o|r)
0
1
1
0
not entailment
(((q>i)&(~(r)&q))&(i|(~((q|q))&i)))
(i|o)
1
1
0
0
entailment
~(((i|((o&i)>q))&(((o&q)>o)&o)))
~((~((q>(o|q)))|((o|(i&q))&o)))
1
1
1
1
entailment