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
((b>((((a>i)|n)>q)&x))&(b>(i>a)))
((i&~((~(x)>(~((a>(c|b)))|(a>c)))))>q)
1
0
0
0
entailment
(~(~(a))&n)
((i&~((~(x)>(~((a>(c|b)))|(a>c)))))>q)
0
0
0
0
not entailment
((b>((((a>i)|n)>q)&x))&(b>(i>a)))
((i>b)>(~((i|~(a)))|(q>i)))
0
1
1
0
not entailment
~(((b&i)>a))
(c|(n>i))
1
1
0
0
entailment
(((a&q)>(b>n))>(a&q))
(((a&a)|(x&~(b)))&(~(x)>q))
1
0
0
0
entailment
~(((b&i)>a))
(((a&a)|(x&~(b)))&(~(x)>q))
0
0
0
0
not entailment
(((a&q)>(b>n))>(a&q))
(c|(n>i))
0
1
0
0
not entailment
~(((c&~(~(a)))>(q|~(~((x>b))))))
(q|(a|~(~(q))))
1
1
1
0
entailment
((b|x)&~((i>(i>((b&n)|c)))))
((((a&(b|i))&n)&c)>b)
1
1
0
0
entailment
~(((c&~(~(a)))>(q|~(~((x>b))))))
((((a&(b|i))&n)&c)>b)
0
1
0
0
not entailment
((b|x)&~((i>(i>((b&n)|c)))))
(q|(a|~(~(q))))
0
1
0
0
not entailment
((b>(i&q))&(((x|b)&(b>c))&(i&b)))
(x|c)
1
1
1
1
entailment
~(((q>(a|i))|c))
(~(b)|(((~(a)|n)&((n>c)|n))|(q&x)))
1
0
0
0
entailment
((b>(i&q))&(((x|b)&(b>c))&(i&b)))
(~(b)|(((~(a)|n)&((n>c)|n))|(q&x)))
0
0
0
0
not entailment
~(((q>(a|i))|c))
(x|c)
0
1
0
0
not entailment
~(~(c))
((x|((q>a)>(~(~((c|a)))|a)))|(b&a))
1
0
0
0
entailment
((b|n)>q)
((((q>q)>(q|x))&b)>q)
1
0
0
0
entailment
~(~(c))
((((q>q)>(q|x))&b)>q)
0
0
0
0
not entailment
((b|n)>q)
((x|((q>a)>(~(~((c|a)))|a)))|(b&a))
0
0
0
0
not entailment
(q&((i>(n>n))|i))
(((a|i)>q)|~((b|(x&q))))
1
0
0
0
entailment
((~(b)|a)>(q>n))
~((~(((((n>c)>b)|a)|c))&(q&~((q>n)))))
1
0
0
0
entailment
(q&((i>(n>n))|i))
~((~(((((n>c)>b)|a)|c))&(q&~((q>n)))))
0
0
0
0
not entailment
((~(b)|a)>(q>n))
(((a|i)>q)|~((b|(x&q))))
0
0
0
0
not entailment
~(((q|c)>(x&(a&n))))
(((c&c)|q)|((n|c)|(c|a)))
1
0
1
0
entailment
((x&b)|b)
(b|~((~(((a|q)&(a&(i>x))))>(x>x))))
1
0
0
0
entailment
~(((q|c)>(x&(a&n))))
(b|~((~(((a|q)&(a&(i>x))))>(x>x))))
0
0
0
0
not entailment
((x&b)|b)
(((c&c)|q)|((n|c)|(c|a)))
0
0
0
0
not entailment
(((x|i)>(q&i))&(((b&n)&i)&(q>q)))
((n|n)|(((x>c)&~((n&(x&b))))>c))
1
1
0
0
entailment
(~((i>(q&a)))&a)
(((q>b)|((a|a)|~(x)))>~(q))
1
0
0
0
entailment
(((x|i)>(q&i))&(((b&n)&i)&(q>q)))
(((q>b)|((a|a)|~(x)))>~(q))
0
1
0
0
not entailment
(~((i>(q&a)))&a)
((n|n)|(((x>c)&~((n&(x&b))))>c))
0
0
0
0
not entailment
(q&(~(i)>n))
(((b>x)&((i&q)>~(q)))>~((i&((a&i)&c))))
1
0
0
0
entailment
(~(((~(a)&(a>(b&q)))>~(a)))|((c>i)&c))
((i>x)|(i>(c&i)))
1
1
0
0
entailment
(q&(~(i)>n))
((i>x)|(i>(c&i)))
0
0
0
0
not entailment
(~(((~(a)&(a>(b&q)))>~(a)))|((c>i)&c))
(((b>x)&((i&q)>~(q)))>~((i&((a&i)&c))))
0
1
0
0
not entailment
(~((a>((a|n)>~(b))))&~((c>x)))
(c|(a&(x|i)))
1
1
0
0
entailment
~((((x>(a&x))&q)|(~(n)&(~(a)>b))))
((q>~(~((~(n)>x))))|(x|n))
1
1
1
1
entailment
(~((a>((a|n)>~(b))))&~((c>x)))
((q>~(~((~(n)>x))))|(x|n))
0
1
0
0
not entailment
~((((x>(a&x))&q)|(~(n)&(~(a)>b))))
(c|(a&(x|i)))
0
1
0
0
not entailment
((c&b)&((a&~(~(i)))>(q|~(c))))
(c|(a|a))
1
1
1
0
entailment
((x&a)|~(~(((a>(q>(q&q)))>(x|x)))))
(~(~((~(b)|b)))>(((q|n)>x)|a))
1
1
0
0
entailment
((c&b)&((a&~(~(i)))>(q|~(c))))
(~(~((~(b)|b)))>(((q|n)>x)|a))
0
1
0
0
not entailment
((x&a)|~(~(((a>(q>(q&q)))>(x|x)))))
(c|(a|a))
0
1
0
0
not entailment
~(~(~((~(~((n&n)))>c))))
((((n|~(n))&q)>b)>n)
1
1
0
0
entailment
(((((b>b)&n)|x)>~((x|i)))&~(n))
(n>(b>a))
1
1
0
0
entailment
~(~(~((~(~((n&n)))>c))))
(n>(b>a))
0
1
0
0
not entailment
(((((b>b)&n)|x)>~((x|i)))&~(n))
((((n|~(n))&q)>b)>n)
0
1
0
0
not entailment
(~((~(~(n))|q))&(~(b)&i))
~(b)
1
1
1
1
entailment
(~((c>(x|x)))&i)
(~(((~(n)&(q&b))|~((q>b))))>(x>n))
1
0
0
0
entailment
(~((~(~(n))|q))&(~(b)&i))
(~(((~(n)&(q&b))|~((q>b))))>(x>n))
0
0
0
0
not entailment
(~((c>(x|x)))&i)
~(b)
0
1
0
0
not entailment
~(((q&(q>i))|((q>x)>(x|b))))
(~(q)&(b>x))
1
1
1
1
entailment
(a&i)
((n>q)|i)
1
0
0
0
entailment
~(((q&(q>i))|((q>x)>(x|b))))
((n>q)|i)
0
1
0
0
not entailment
(a&i)
(~(q)&(b>x))
0
0
0
0
not entailment
(m&((l>m)>l))
((f|l)&l)
1
1
0
0
entailment
((f&m)|(l>f))
~(~(((l>f)|f)))
1
0
1
1
entailment
(m&((l>m)>l))
~(~(((l>f)|f)))
0
0
0
0
not entailment
((f&m)|(l>f))
((f|l)&l)
0
1
1
0
not entailment
(f&((m>l)|((~(~(m))|l)&(m&l))))
(m>l)
1
1
1
1
entailment
(m&~((f&m)))
(((f&(f>f))>~((f&(f&f))))|(~(l)>l))
1
0
0
0
entailment
(f&((m>l)|((~(~(m))|l)&(m&l))))
(((f&(f>f))>~((f&(f&f))))|(~(l)>l))
0
0
1
0
not entailment
(m&~((f&m)))
(m>l)
0
1
0
0
not entailment
((~((m>m))&(m&(f|(f&f))))|((l&l)&~(f)))
(~((m|f))|(~(~(~((l&f))))>(l|l)))
1
1
1
1
entailment
(((l|m)|(l&(~((l>f))>f)))&~((l|f)))
(~(l)&((f&(l>l))>~(((l|l)>m))))
1
1
1
0
entailment
((~((m>m))&(m&(f|(f&f))))|((l&l)&~(f)))
(~(l)&((f&(l>l))>~(((l|l)>m))))
0
1
1
0
not entailment
(((l|m)|(l&(~((l>f))>f)))&~((l|f)))
(~((m|f))|(~(~(~((l&f))))>(l|l)))
0
1
1
0
not entailment
(((~((l|m))&l)&(f>f))|(f&((~(l)|l)>l)))
(f|m)
1
1
1
0
entailment
~(((m|(f&m))|(l&m)))
~((m&(f>m)))
1
1
1
0
entailment
(((~((l|m))&l)&(f>f))|(f&((~(l)|l)>l)))
~((m&(f>m)))
0
1
1
1
not entailment
~(((m|(f&m))|(l&m)))
(f|m)
0
1
1
0
not entailment
(((l&(m|f))|m)>~(((l|m)|(m&(m&~(m))))))
(~(l)>~(m))
1
1
1
0
entailment
(m&((f|f)>(l|((f|m)>(m>(m|l))))))
((~(((m>m)&f))|m)>((l|f)>(f|m)))
1
1
1
0
entailment
(((l&(m|f))|m)>~(((l|m)|(m&(m&~(m))))))
((~(((m>m)&f))|m)>((l|f)>(f|m)))
0
1
1
0
not entailment
(m&((f|f)>(l|((f|m)>(m>(m|l))))))
(~(l)>~(m))
0
1
1
1
not entailment
(~(~(m))&l)
(~(l)>l)
1
1
1
1
entailment
(l>f)
(l>((~(m)&m)|f))
1
0
0
0
entailment
(~(~(m))&l)
(l>((~(m)&m)|f))
0
0
0
0
not entailment
(l>f)
(~(l)>l)
0
0
1
0
not entailment
~((f&(l|(m|f))))
((m>((l&f)>m))&~((f&~((l|(~(m)>m))))))
1
0
1
0
entailment
(f|((l|m)&f))
(~((l|f))>((f&((f&f)&f))|l))
1
0
1
1
entailment
~((f&(l|(m|f))))
(~((l|f))>((f&((f&f)&f))|l))
0
0
1
0
not entailment
(f|((l|m)&f))
((m>((l&f)>m))&~((f&~((l|(~(m)>m))))))
0
0
1
0
not entailment
((~((f|(f&l)))&(((f&l)&~(f))>m))&m)
(~(m)>~(l))
1
1
1
1
entailment
(l&f)
(((l&f)>(f&l))>(l&f))
1
0
1
0
entailment
((~((f|(f&l)))&(((f&l)&~(f))>m))&m)
(((l&f)>(f&l))>(l&f))
0
1
1
0
not entailment
(l&f)
(~(m)>~(l))
0
0
0
0
not entailment
~((((m&m)&l)>((m|m)>~(f))))
((m>l)|l)
1
1
1
0
entailment
(~((f&m))&m)
~((f&((m>~(~((m&f))))>m)))
1
0
1
0
entailment
~((((m&m)&l)>((m|m)>~(f))))
~((f&((m>~(~((m&f))))>m)))
0
1
1
0
not entailment
(~((f&m))&m)
((m>l)|l)
0
1
0
0
not entailment
(f&((f>l)&~((m&f))))
(((m&f)|(m&f))>((m|m)&((m&~(f))&f)))
1
0
1
0
entailment
((l>~((l|f)))&((f&m)&(~((m|f))>m)))
~(((l&(l|f))&(m>m)))
1
1
1
0
entailment
(f&((f>l)&~((m&f))))
~(((l&(l|f))&(m>m)))
0
1
1
0
not entailment
((l>~((l|f)))&((f&m)&(~((m|f))>m)))
(((m&f)|(m&f))>((m|m)&((m&~(f))&f)))
0
1
1
0
not entailment
~(~((m&f)))
(f&((m>f)>m))
1
1
1
0
entailment
(~((f|(f|m)))&(l|l))
~((l>(~(~((~(m)>l)))&f)))
1
0
1
0
entailment
~(~((m&f)))
~((l>(~(~((~(m)>l)))&f)))
0
0
0
0
not entailment
(~((f|(f|m)))&(l|l))
(f&((m>f)>m))
0
1
1
0
not entailment
(~(((l>m)&l))>l)
(l|(f|l))
1
1
0
0
entailment