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
~((((v&i)>d)&(~((m>((d|a)&n)))>a)))
(b>v)
0
1
0
0
not entailment
((((m|z)&f)>~((a|(i|n))))&v)
(((i>a)&(d&a))>z)
0
1
0
0
not entailment
((b&(v>(a&v)))&(((m|b)&c)>f))
(b|((((((i|n)>(c&b))&d)&n)|~(z))&(m&m)))
1
0
0
0
entailment
(z&(~(c)|m))
(z|f)
1
1
0
0
entailment
((b&(v>(a&v)))&(((m|b)&c)>f))
(z|f)
0
1
0
0
not entailment
(z&(~(c)|m))
(b|((((((i|n)>(c&b))&d)&n)|~(z))&(m&m)))
0
0
0
0
not entailment
(~((~(b)|c))&~((f>d)))
(((a|b)&(f>~((f&c))))&((d|(v|f))>b))
1
0
0
0
entailment
~(((i|(d>(f|m)))|(v>~(a))))
((d|a)|(n|v))
1
1
0
0
entailment
(~((~(b)|c))&~((f>d)))
((d|a)|(n|v))
0
1
0
0
not entailment
~(((i|(d>(f|m)))|(v>~(a))))
(((a|b)&(f>~((f&c))))&((d|(v|f))>b))
0
0
0
0
not entailment
~((~(~(b))|((c|m)>~((m>b)))))
(b>((c|m)&(a&(z|v))))
1
1
0
0
entailment
((c>b)&b)
(z>b)
1
1
0
0
entailment
~((~(~(b))|((c|m)>~((m>b)))))
(z>b)
0
1
0
0
not entailment
((c>b)&b)
(b>((c|m)&(a&(z|v))))
0
0
0
0
not entailment
((v|v)&(((~(i)>i)|((m>i)>(z|v)))|(z|f)))
(((f|~(((f&i)|n)))|(i&d))|v)
1
1
0
0
entailment
((b&d)|~(~(((b&a)&i))))
((n|((d|d)>a))>b)
1
1
0
0
entailment
((v|v)&(((~(i)>i)|((m>i)>(z|v)))|(z|f)))
((n|((d|d)>a))>b)
0
1
0
0
not entailment
((b&d)|~(~(((b&a)&i))))
(((f|~(((f&i)|n)))|(i&d))|v)
0
0
0
0
not entailment
(b&((d&f)|(f|v)))
(~(((~(v)&(z>v))|b))>(~(i)>(i|v)))
1
0
0
0
entailment
~(((d|i)|((~(v)&(c&(c&f)))>(d|a))))
((((d&(n&b))|f)>(f&d))>~(~(m)))
1
1
0
0
entailment
(b&((d&f)|(f|v)))
((((d&(n&b))|f)>(f&d))>~(~(m)))
0
0
0
0
not entailment
~(((d|i)|((~(v)&(c&(c&f)))>(d|a))))
(~(((~(v)&(z>v))|b))>(~(i)>(i|v)))
0
1
0
0
not entailment
((~(~(c))&(d|z))&(a>((v>n)|(v>m))))
(z>(b|(v|c)))
1
1
0
0
entailment
(~((c&(v>v)))&(f|m))
(((z|m)|(m>n))&(a|((c&(z>~(i)))>~(m))))
1
0
0
0
entailment
((~(~(c))&(d|z))&(a>((v>n)|(v>m))))
(((z|m)|(m>n))&(a|((c&(z>~(i)))>~(m))))
0
0
0
0
not entailment
(~((c&(v>v)))&(f|m))
(z>(b|(v|c)))
0
1
0
0
not entailment
(~((~(((b&(v>a))&d))|((n>c)>m)))&i)
(b|((a|i)>b))
1
1
1
0
entailment
(~(m)&(a&~(~((v&(n|z))))))
((a|~(b))|n)
1
1
0
0
entailment
(~((~(((b&(v>a))&d))|((n>c)>m)))&i)
((a|~(b))|n)
0
1
1
0
not entailment
(~(m)&(a&~(~((v&(n|z))))))
(b|((a|i)>b))
0
1
0
0
not entailment
~((~(v)|~(~((~(d)|~(n))))))
(((~((~(n)|(z>v)))|f)|d)|c)
1
1
0
0
entailment
~((z|v))
(i|(~((n&v))|((a&a)|b)))
1
0
0
0
entailment
~((~(v)|~(~((~(d)|~(n))))))
(i|(~((n&v))|((a&a)|b)))
0
1
0
0
not entailment
~((z|v))
(((~((~(n)|(z>v)))|f)|d)|c)
0
0
0
0
not entailment
~(~((~((i|i))>i)))
((v|(v>(f|b)))>(v|i))
1
1
0
0
entailment
(d&~((b|i)))
((~(b)&(m>m))|(z|(v|~((a|a)))))
1
0
0
0
entailment
~(~((~((i|i))>i)))
((~(b)&(m>m))|(z|(v|~((a|a)))))
0
0
0
0
not entailment
(d&~((b|i)))
((v|(v>(f|b)))>(v|i))
0
0
0
0
not entailment
((~(s)|l)>s)
((s&(((s&l)|l)>s))|(~(s)>(l>s)))
1
0
1
0
entailment
(l|l)
~((s&~(l)))
1
0
0
0
entailment
((~(s)|l)>s)
~((s&~(l)))
0
1
1
0
not entailment
(l|l)
((s&(((s&l)|l)>s))|(~(s)>(l>s)))
0
0
0
0
not entailment
((s|l)&l)
(l|(~(s)>(~(((s>s)&s))>s)))
1
0
1
0
entailment
~(((l|s)|(l|l)))
(l>~(((s&l)&l)))
1
1
1
1
entailment
((s|l)&l)
(l>~(((s&l)&l)))
0
0
1
0
not entailment
~(((l|s)|(l|l)))
(l|(~(s)>(~(((s>s)&s))>s)))
0
0
1
0
not entailment
(((l|l)&s)|s)
(((s&((s|(l&l))|s))|(l&(l>~(~(l)))))|s)
1
0
1
0
entailment
~((s&((s>((s&l)&~(s)))>(l|s))))
((s&l)|((s>~((~(l)>(~(l)|s))))|(l|l)))
1
0
1
1
entailment
(((l|l)&s)|s)
((s&l)|((s>~((~(l)>(~(l)|s))))|(l|l)))
0
0
1
0
not entailment
~((s&((s>((s&l)&~(s)))>(l|s))))
(((s&((s|(l&l))|s))|(l&(l>~(~(l)))))|s)
0
0
1
1
not entailment
(((l>l)>l)|~(((l>l)|l)))
(s|l)
1
1
0
0
entailment
((~((s&(s&s)))|l)>~(((s>s)&l)))
~((l&(l&l)))
1
1
1
1
entailment
(((l>l)>l)|~(((l>l)|l)))
~((l&(l&l)))
0
1
1
1
not entailment
((~((s&(s&s)))|l)>~(((s>s)&l)))
(s|l)
0
1
1
0
not entailment
~((~((~(s)|((l>s)&l)))>(l&s)))
~((~((l>(s>s)))|((l&l)&s)))
1
1
1
1
entailment
(l&l)
((s|~(s))&l)
1
0
0
0
entailment
~((~((~(s)|((l>s)&l)))>(l&s)))
((s|~(s))&l)
0
1
1
1
not entailment
(l&l)
~((~((l>(s>s)))|((l&l)&s)))
0
0
0
0
not entailment
~((((s&l)|s)|((s>(l|l))&((l|l)|l))))
~(((l>s)&l))
1
1
1
0
entailment
((s|l)&((l|(s|(l>l)))>(l|l)))
(l&((s|(l&l))|(s|(l>s))))
1
1
1
1
entailment
~((((s&l)|s)|((s>(l|l))&((l|l)|l))))
(l&((s|(l&l))|(s|(l>s))))
0
1
1
0
not entailment
((s|l)&((l|(s|(l>l)))>(l|l)))
~(((l>s)&l))
0
1
1
1
not entailment
(s>l)
(((~((l&~(l)))&(s|s))|l)>((l>l)>l))
1
0
1
0
entailment
(s&~(~(((s|(s&s))>(s&(s>(s>(s&s))))))))
(((s>((s>s)|s))|(s|s))&s)
1
1
1
1
entailment
(s>l)
(((s>((s>s)|s))|(s|s))&s)
0
0
1
0
not entailment
(s&~(~(((s|(s&s))>(s&(s>(s>(s&s))))))))
(((~((l&~(l)))&(s|s))|l)>((l>l)>l))
0
1
0
0
not entailment
(((s&(s|l))|(l&s))&l)
(~(l)|(s&l))
1
1
1
0
entailment
((~(s)|s)>~(s))
~(((s&~((s|l)))|(s&l)))
1
0
0
0
entailment
(((s&(s|l))|(l&s))&l)
~(((s&~((s|l)))|(s&l)))
0
0
1
0
not entailment
((~(s)|s)>~(s))
(~(l)|(s&l))
0
1
0
0
not entailment
~((~(~(l))>(s&s)))
((l|(s|l))|l)
1
1
1
0
entailment
((l|l)>(s&l))
(~((~((s>l))>(l&l)))|((l>s)&(~(l)|s)))
1
0
1
1
entailment
~((~(~(l))>(s&s)))
(~((~((s>l))>(l&l)))|((l>s)&(~(l)|s)))
0
0
1
0
not entailment
((l|l)>(s&l))
((l|(s|l))|l)
0
1
1
1
not entailment
(s|l)
~(~((s|(~(l)>l))))
1
0
1
1
entailment
~(s)
~(s)
1
1
1
1
entailment
(s|l)
~(s)
0
1
1
0
not entailment
~(s)
~(~((s|(~(l)>l))))
0
0
0
0
not entailment
(~(~((s&l)))&(l>l))
((l&l)&s)
1
1
1
1
entailment
~((((l|s)>s)>s))
~(s)
1
1
1
1
entailment
(~(~((s&l)))&(l>l))
~(s)
0
1
1
0
not entailment
~((((l|s)>s)>s))
((l&l)&s)
0
1
1
0
not entailment
((l|~(l))>(l&s))
((l|s)&((s>l)|((s|s)>(s&l))))
1
0
1
0
entailment
~(((s>(l&s))>l))
~((l|l))
1
1
1
1
entailment
((l|~(l))>(l&s))
~((l|l))
0
1
1
1
not entailment
~(((s>(l&s))>l))
((l|s)&((s>l)|((s|s)>(s&l))))
0
0
1
1
not entailment
(l|l)
((~((t&c))|r)>l)
1
0
0
0
entailment
(~(c)&t)
(r>t)
1
1
0
0
entailment
(l|l)
(r>t)
0
1
0
0
not entailment
(~(c)&t)
((~((t&c))|r)>l)
0
0
0
0
not entailment
(((t>y)&~((j&~(t))))&~((r>y)))
(~((r|(j&j)))>t)
1
1
1
0
entailment
~((((((c|t)>y)>r)&~(l))>(r&(y|j))))
~((l&r))
1
1
1
1
entailment
(((t>y)&~((j&~(t))))&~((r>y)))
~((l&r))
0
1
0
0
not entailment
~((((((c|t)>y)>r)&~(l))>(r&(y|j))))
(~((r|(j&j)))>t)
0
1
1
0
not entailment
~((r|(~(r)>~(~(t)))))
((~(y)&(t>j))|y)
1
1
0
0
entailment
(l&(c|l))
((y>l)|(~((~(c)&~(j)))>t))
1
0
0
0
entailment
~((r|(~(r)>~(~(t)))))
((y>l)|(~((~(c)&~(j)))>t))
0
0
0
0
not entailment
(l&(c|l))
((~(y)&(t>j))|y)
0
0
0
0
not entailment
((~((l&l))>t)&r)
(((r|y)|r)|(t>~((r|~(l)))))
1
0
0
0
entailment
~((y|(j>l)))
(l>y)
1
1
1
0
entailment