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
(m&((n>(n|a))>~(a)))
((m&(a>(m&m)))>~(((~(m)>n)&m)))
0
0
1
0
not entailment
((n|(n>(a>m)))>(m&m))
~(~((m|a)))
1
1
1
1
entailment
~(((n>a)|~((a>m))))
(n|~(~(a)))
1
1
1
0
entailment
((n|(n>(a>m)))>(m&m))
(n|~(~(a)))
0
1
1
1
not entailment
~(((n>a)|~((a>m))))
~(~((m|a)))
0
1
1
0
not entailment
(n&(~(~(((m|a)&n)))|(n>m)))
(~((((a>a)>(m>n))>n))>n)
1
1
1
0
entailment
(a&(a|n))
(a&a)
1
1
1
1
entailment
(n&(~(~(((m|a)&n)))|(n>m)))
(a&a)
0
1
1
1
not entailment
(a&(a|n))
(~((((a>a)>(m>n))>n))>n)
0
0
0
0
not entailment
(a&m)
(a&a)
1
1
1
1
entailment
(n|(n&(m&n)))
(n|((n|n)&(n&m)))
1
0
1
1
entailment
(a&m)
(n|((n|n)&(n&m)))
0
0
0
0
not entailment
(n|(n&(m&n)))
(a&a)
0
1
0
0
not entailment
((m&~((a&a)))|m)
(~(~(((n&(n&a))>a)))&(n>(m|(m&n))))
1
0
0
0
entailment
(~(n)>n)
~(((n|a)>~(n)))
1
0
0
0
entailment
((m&~((a&a)))|m)
~(((n|a)>~(n)))
0
1
0
0
not entailment
(~(n)>n)
(~(~(((n&(n&a))>a)))&(n>(m|(m&n))))
0
0
0
0
not entailment
~(~(((~(n)|m)&((a&(m&n))&((a&n)>n)))))
(n|a)
1
1
1
1
entailment
~(((a|m)>~(~((((a&m)|m)>n)))))
((n>~(a))&(a>a))
1
1
1
0
entailment
~(~(((~(n)|m)&((a&(m&n))&((a&n)>n)))))
((n>~(a))&(a>a))
0
1
1
1
not entailment
~(((a|m)>~(~((((a&m)|m)>n)))))
(n|a)
0
1
1
0
not entailment
(n&a)
((a>~((a&n)))>n)
1
0
1
1
entailment
~((m>((~(n)|a)&a)))
(a>((n>m)&(m>a)))
1
1
1
0
entailment
(n&a)
(a>((n>m)&(m>a)))
0
0
0
0
not entailment
~((m>((~(n)|a)&a)))
((a>~((a&n)))>n)
0
1
1
0
not entailment
~(~((n&(n>m))))
(m|n)
1
1
1
1
entailment
~(~(~(~(~(~(~(n)))))))
~(((a|~(n))&(((m|(a&n))>(m&m))>(n&n))))
1
0
0
0
entailment
~(~((n&(n>m))))
~(((a|~(n))&(((m|(a&n))>(m&m))>(n&n))))
0
0
0
0
not entailment
~(~(~(~(~(~(~(n)))))))
(m|n)
0
1
0
0
not entailment
~((~(m)|~((n&(~(m)>((n>m)&m))))))
(m&((((n>n)&n)&n)|(~((a&~((a>n))))&a)))
1
0
0
0
entailment
~((((a|a)>((~(((n>m)>n))>a)|a))>n))
~(((n&a)&((m&m)>(m&((m|m)&m)))))
1
1
1
0
entailment
~((~(m)|~((n&(~(m)>((n>m)&m))))))
~(((n&a)&((m&m)>(m&((m|m)&m)))))
0
1
0
0
not entailment
~((((a|a)>((~(((n>m)>n))>a)|a))>n))
(m&((((n>n)&n)&n)|(~((a&~((a>n))))&a)))
0
0
1
0
not entailment
~(((((a|m)&(n&n))|~((a>~((a>a)))))>n))
(m>((a&m)|n))
1
1
1
0
entailment
((m>a)>m)
~(~((((a&m)&(a|((a&(a>m))|n)))|m)))
1
0
0
0
entailment
~(((((a|m)&(n&n))|~((a>~((a>a)))))>n))
~(~((((a&m)&(a|((a&(a>m))|n)))|m)))
0
1
1
1
not entailment
((m>a)>m)
(m>((a&m)|n))
0
0
0
0
not entailment
(((c&v)|c)&(~((v|u))|(((c&c)&(r|u))&u)))
(i|(c|u))
1
1
0
0
entailment
(r&v)
((~(u)>r)|(i>u))
1
0
0
0
entailment
(((c&v)|c)&(~((v|u))|(((c&c)&(r|u))&u)))
((~(u)>r)|(i>u))
0
1
0
0
not entailment
(r&v)
(i|(c|u))
0
0
0
0
not entailment
((v&u)|(c&v))
((r|v)|u)
1
1
0
0
entailment
~((c>i))
(((r>c)|~(u))|~(r))
1
0
0
0
entailment
((v&u)|(c&v))
(((r>c)|~(u))|~(r))
0
0
0
0
not entailment
~((c>i))
((r|v)|u)
0
1
0
0
not entailment
~(i)
(~(i)|(~(v)&((c>i)|~(~(v)))))
1
0
0
0
entailment
(u|(((~(u)&r)&((c>i)&(u|u)))&~(u)))
((u|r)|r)
1
1
1
1
entailment
~(i)
((u|r)|r)
0
0
0
0
not entailment
(u|(((~(u)&r)&((c>i)&(u|u)))&~(u)))
(~(i)|(~(v)&((c>i)|~(~(v)))))
0
1
0
0
not entailment
(~((v|(r&i)))&~((i|v)))
(c>((v|i)>(i&(c>v))))
1
1
0
0
entailment
((~(((u>(c>r))>u))>r)&(u&v))
(v&v)
1
1
1
1
entailment
(~((v|(r&i)))&~((i|v)))
(v&v)
0
1
1
0
not entailment
((~(((u>(c>r))>u))>r)&(u&v))
(c>((v|i)>(i&(c>v))))
0
1
0
0
not entailment
(~((i|~(~((c>(v|v))))))|~((i|(u>i))))
~((i&(v|r)))
1
1
0
0
entailment
((r&c)&(v&c))
(v&(~((((i>c)>r)&~(i)))|c))
1
0
0
0
entailment
(~((i|~(~((c>(v|v))))))|~((i|(u>i))))
(v&(~((((i>c)>r)&~(i)))|c))
0
1
0
0
not entailment
((r&c)&(v&c))
~((i&(v|r)))
0
1
0
0
not entailment
~((i|~((~((c>r))>u))))
(((r>v)&(r|i))>~(~((v&r))))
1
0
0
0
entailment
(u|v)
((u|v)|(~((r|i))&~((~((c|v))&v))))
1
0
0
0
entailment
~((i|~((~((c>r))>u))))
((u|v)|(~((r|i))&~((~((c|v))&v))))
0
0
0
0
not entailment
(u|v)
(((r>v)&(r|i))>~(~((v&r))))
0
0
0
0
not entailment
(i&~((((i&c)|~(i))&v)))
(i&((i|v)&i))
1
1
1
0
entailment
~((((i|r)|(u|c))|v))
((~((r|r))|u)|c)
1
1
1
0
entailment
(i&~((((i&c)|~(i))&v)))
((~((r|r))|u)|c)
0
1
0
0
not entailment
~((((i|r)|(u|c))|v))
(i&((i|v)&i))
0
1
1
0
not entailment
(((r&~(c))|~(~((v>c))))&i)
~(~((i|u)))
1
1
0
0
entailment
((r&v)&~(~((c&(v&(v|v))))))
((((c&(~(c)>((r>r)&v)))>i)|r)&(i>v))
1
0
0
0
entailment
(((r&~(c))|~(~((v>c))))&i)
((((c&(~(c)>((r>r)&v)))>i)|r)&(i>v))
0
0
1
0
not entailment
((r&v)&~(~((c&(v&(v|v))))))
~(~((i|u)))
0
1
0
0
not entailment
~(~(((v>u)&((i&c)|u))))
(i|u)
1
1
1
1
entailment
~((v|(u&((c&i)>u))))
((((u|i)>i)&(r|(v>i)))|(((i>v)|c)&v))
1
0
0
0
entailment
~(~(((v>u)&((i&c)|u))))
((((u|i)>i)&(r|(v>i)))|(((i>v)|c)&v))
0
0
0
0
not entailment
~((v|(u&((c&i)>u))))
(i|u)
0
1
1
0
not entailment
(u&v)
((v|(i&r))>((r&i)|(u|r)))
1
0
0
0
entailment
(i&c)
(i&(~(c)|((v&r)>c)))
1
0
0
0
entailment
(u&v)
(i&(~(c)|((v&r)>c)))
0
0
0
0
not entailment
(i&c)
((v|(i&r))>((r&i)|(u|r)))
0
0
0
0
not entailment
~(((u|r)|~((c|(i&(c>u))))))
(r|((v&~((v>(i&i))))>((c>u)>c)))
1
0
0
0
entailment
~((u>(i&u)))
((i&(c&(~(~(~(r)))>v)))>~((i>(r|v))))
1
0
0
0
entailment
~(((u|r)|~((c|(i&(c>u))))))
((i&(c&(~(~(~(r)))>v)))>~((i>(r|v))))
0
0
0
0
not entailment
~((u>(i&u)))
(r|((v&~((v>(i&i))))>((c>u)>c)))
0
0
0
0
not entailment
(((~(i)&u)|~(((r|r)&~(u))))&(c&i))
((i|v)|u)
1
1
0
0
entailment
~((((u|(r>c))|v)&~((((r&v)|r)>v))))
~(~((((v|~(v))&~((r>v)))>~((i&u)))))
1
0
0
0
entailment
(((~(i)&u)|~(((r|r)&~(u))))&(c&i))
~(~((((v|~(v))&~((r>v)))>~((i&u)))))
0
0
0
0
not entailment
~((((u|(r>c))|v)&~((((r&v)|r)>v))))
((i|v)|u)
0
1
0
0
not entailment
~(~(((~(x)>(z>d))>~(i))))
~((i&~(((x&d)>~(~((g|(i>w))))))))
1
0
0
0
entailment
(((w>(h>d))&q)&h)
(~(q)>((x|z)&~(x)))
1
0
0
0
entailment
~(~(((~(x)>(z>d))>~(i))))
(~(q)>((x|z)&~(x)))
0
1
0
0
not entailment
(((w>(h>d))&q)&h)
~((i&~(((x&d)>~(~((g|(i>w))))))))
0
0
0
0
not entailment
~(((v&((w>(h|x))&h))>~((g|~((d&d))))))
(~(((x&x)>i))|(~(d)|h))
1
1
0
0
entailment
~((~(z)|h))
(q|(z|i))
1
1
0
0
entailment
~(((v&((w>(h|x))&h))>~((g|~((d&d))))))
(q|(z|i))
0
1
0
0
not entailment
~((~(z)|h))
(~(((x&x)>i))|(~(d)|h))
0
0
0
0
not entailment
~((((x|h)>d)&d))
(q|~(((d&(g|w))&(g&h))))
1
0
0
0
entailment
~(((z&z)>i))
((~((w>~((h|~(i)))))&w)|~(w))
1
0
0
0
entailment
~((((x|h)>d)&d))
((~((w>~((h|~(i)))))&w)|~(w))
0
0
0
0
not entailment
~(((z&z)>i))
(q|~(((d&(g|w))&(g&h))))
0
0
0
0
not entailment
(((~(h)|~(v))&((h>w)|i))>h)
((~(~((x&v)))|h)|((((q>g)|h)>g)>z))
1
0
0
0
entailment
(q&x)
(x|~((v>w)))
1
0
0
0
entailment
(((~(h)|~(v))&((h>w)|i))>h)
(x|~((v>w)))
0
1
0
0
not entailment