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
(~(x)&(j|x))
(~(v)|(((h&v)>(v|v))&(((x|j)>p)&l)))
0
0
0
0
not entailment
~((~(l)>v))
(x>~(~(h)))
0
1
0
0
not entailment
((v&(j&(l&p)))&v)
((x>p)&(j&l))
1
1
0
0
entailment
((h>~(v))>h)
(~((j&(l&((h|(p&p))>x))))>h)
1
0
0
0
entailment
((v&(j&(l&p)))&v)
(~((j&(l&((h|(p&p))>x))))>h)
0
0
0
0
not entailment
((h>~(v))>h)
((x>p)&(j&l))
0
1
0
0
not entailment
((((~(j)|h)>(p>j))&(j|h))&(l&h))
(((v|x)|(l&h))|(h>(p|x)))
1
1
0
0
entailment
(((h>h)&j)&~(l))
(((v|(x|x))&(x>(p&l)))|j)
1
0
0
0
entailment
((((~(j)|h)>(p>j))&(j|h))&(l&h))
(((v|(x|x))&(x>(p&l)))|j)
0
1
0
0
not entailment
(((h>h)&j)&~(l))
(((v|x)|(l&h))|(h>(p|x)))
0
0
0
0
not entailment
~(~(((v&l)&(l>x))))
~(~((~(h)|l)))
1
1
0
0
entailment
~(((~((v|x))|(j>x))|(j>(p&(v|p)))))
~(p)
1
1
1
1
entailment
~(~(((v&l)&(l>x))))
~(p)
0
1
0
0
not entailment
~(((~((v|x))|(j>x))|(j>(p&(v|p)))))
~(~((~(h)|l)))
0
1
0
0
not entailment
(h&v)
(l>((~(j)>h)|((v>h)>x)))
1
0
0
0
entailment
~((h|x))
~(((h|x)|h))
1
0
1
1
entailment
(h&v)
~(((h|x)|h))
0
0
0
0
not entailment
~((h|x))
(l>((~(j)>h)|((v>h)>x)))
0
0
0
0
not entailment
(~(((~(v)&v)&((p&j)|(p|p))))&(v&(h>h)))
(~((j|~((~(j)&(((j>p)|p)&h)))))>v)
1
1
1
0
entailment
(~(v)&x)
(((p&p)|x)|((p|v)>p))
1
0
0
0
entailment
(~(((~(v)&v)&((p&j)|(p|p))))&(v&(h>h)))
(((p&p)|x)|((p|v)>p))
0
1
0
0
not entailment
(~(v)&x)
(~((j|~((~(j)&(((j>p)|p)&h)))))>v)
0
0
0
0
not entailment
(((p>(h|v))>p)&(v&(x&j)))
(v&j)
1
1
1
1
entailment
~(((p|~(~(h)))|(l&((p>j)&(l&l)))))
((((j&j)&v)&v)>~((h|(v&p))))
1
1
0
0
entailment
(((p>(h|v))>p)&(v&(x&j)))
((((j&j)&v)&v)>~((h|(v&p))))
0
0
1
0
not entailment
~(((p|~(~(h)))|(l&((p>j)&(l&l)))))
(v&j)
0
1
0
0
not entailment
((v&p)&(v&(v>p)))
(((h|~(x))>p)|~(((((j&x)>(x|h))&v)&h)))
1
0
0
0
entailment
~((x>(~((v|j))|(j|~(~((~(x)&v)))))))
(~((x|((j>v)|p)))|~((j&(((h>j)>x)>p))))
1
1
0
0
entailment
((v&p)&(v&(v>p)))
(~((x|((j>v)|p)))|~((j&(((h>j)>x)>p))))
0
0
0
0
not entailment
~((x>(~((v|j))|(j|~(~((~(x)&v)))))))
(((h|~(x))>p)|~(((((j&x)>(x|h))&v)&h)))
0
1
0
0
not entailment
(((j>j)&~((p>(~(l)|~((h&j))))))&(v>h))
((l|j)>((p&((j|v)&~(p)))|p))
1
1
1
0
entailment
~(~(x))
(p>((v&(v|x))>x))
1
0
0
0
entailment
(((j>j)&~((p>(~(l)|~((h&j))))))&(v>h))
(p>((v&(v|x))>x))
0
1
0
0
not entailment
~(~(x))
((l|j)>((p&((j|v)&~(p)))|p))
0
0
0
0
not entailment
(p&~(((l|v)>~((v>x)))))
(((h>(~((p|x))&~(h)))&j)>p)
1
0
0
0
entailment
~(~(((~((j&x))>x)>~(~((l&v))))))
~(~(~(~(((x>l)>~(~(((p&x)>v))))))))
1
0
0
0
entailment
(p&~(((l|v)>~((v>x)))))
~(~(~(~(((x>l)>~(~(((p&x)>v))))))))
0
0
1
0
not entailment
~(~(((~((j&x))>x)>~(~((l&v))))))
(((h>(~((p|x))&~(h)))&j)>p)
0
1
0
0
not entailment
(m|((m>(q|h))>(~((~(y)>(m&q)))&h)))
(~(m)>((((l&q)|(h>m))>(h|m))|(m|q)))
1
1
0
0
entailment
(~(~((~(h)>y)))&(l|~((y&((h>q)|h)))))
(~((l|(y&(((q>l)>h)&(q&q)))))>h)
1
1
1
0
entailment
(m|((m>(q|h))>(~((~(y)>(m&q)))&h)))
(~((l|(y&(((q>l)>h)&(q&q)))))>h)
0
1
0
0
not entailment
(~(~((~(h)>y)))&(l|~((y&((h>q)|h)))))
(~(m)>((((l&q)|(h>m))>(h|m))|(m|q)))
0
1
0
0
not entailment
~((m>(l>y)))
(q>l)
1
1
0
0
entailment
(((y&~((l&~(m))))&h)&m)
(((m&q)>~(~(y)))|((h|q)&(((m|m)|m)&h)))
1
0
0
0
entailment
~((m>(l>y)))
(((m&q)>~(~(y)))|((h|q)&(((m|m)|m)&h)))
0
0
0
0
not entailment
(((y&~((l&~(m))))&h)&m)
(q>l)
0
1
0
0
not entailment
((((h>q)&m)&((q>h)&(h>q)))>l)
((m|m)>(h|(l|((m&m)&(m>(m>q))))))
1
0
1
0
entailment
~(((h&(l>(h&m)))|(~(l)&(((y>h)|q)|q))))
((~(m)|(l|~(q)))|(q&l))
1
1
1
0
entailment
((((h>q)&m)&((q>h)&(h>q)))>l)
((~(m)|(l|~(q)))|(q&l))
0
1
1
1
not entailment
~(((h&(l>(h&m)))|(~(l)&(((y>h)|q)|q))))
((m|m)>(h|(l|((m&m)&(m>(m>q))))))
0
1
1
0
not entailment
(q&((m>(q|l))&(q&l)))
(l|m)
1
1
1
0
entailment
(q&h)
((h>~(h))>(y&q))
1
0
0
0
entailment
(q&((m>(q|l))&(q&l)))
((h>~(h))>(y&q))
0
1
0
0
not entailment
(q&h)
(l|m)
0
1
0
0
not entailment
((q|h)&(~((l&(~(q)>q)))&(q&y)))
(((h>~(l))|(h>(q|q)))|(y|y))
1
1
1
0
entailment
((~(l)>(l&y))&~((h&m)))
(l&(l|y))
1
1
1
1
entailment
((q|h)&(~((l&(~(q)>q)))&(q&y)))
(l&(l|y))
0
1
1
0
not entailment
((~(l)>(l&y))&~((h&m)))
(((h>~(l))|(h>(q|q)))|(y|y))
0
0
0
0
not entailment
(q&~((y&(y&(q>m)))))
((((m|l)>(h>(y&q)))&h)>(h&q))
1
0
0
0
entailment
(q>~((m>m)))
~(((q|h)&~(h)))
1
0
0
0
entailment
(q&~((y&(y&(q>m)))))
~(((q|h)&~(h)))
0
1
0
0
not entailment
(q>~((m>m)))
((((m|l)>(h>(y&q)))&h)>(h&q))
0
0
0
0
not entailment
(((l|q)&(h&l))&(((q&y)|(l|h))>y))
((m&(~(l)|~(q)))|(y>(h|~(~(q)))))
1
0
0
0
entailment
~(m)
(~(m)|~((m|m)))
1
0
1
1
entailment
(((l|q)&(h&l))&(((q&y)|(l|h))>y))
(~(m)|~((m|m)))
0
1
0
0
not entailment
~(m)
((m&(~(l)|~(q)))|(y>(h|~(~(q)))))
0
0
0
0
not entailment
~((m|(((h|l)>l)|~((y>y)))))
((y&y)|(~(q)|(m>(m>l))))
1
1
0
0
entailment
~((m>(y|(l&l))))
((y&(q&(y|m)))>~((m|((y&h)|(l|l)))))
1
0
0
0
entailment
~((m|(((h|l)>l)|~((y>y)))))
((y&(q&(y|m)))>~((m|((y&h)|(l|l)))))
0
0
0
0
not entailment
~((m>(y|(l&l))))
((y&y)|(~(q)|(m>(m>l))))
0
0
0
0
not entailment
((~((m>q))&(y>((q>l)>h)))|m)
(~((m>m))|(h|~((h|~(m)))))
1
1
1
0
entailment
~(m)
~(~((m>((((h>q)|h)&h)&~(y)))))
1
0
0
0
entailment
((~((m>q))&(y>((q>l)>h)))|m)
~(~((m>((((h>q)|h)&h)&~(y)))))
0
0
1
0
not entailment
~(m)
(~((m>m))|(h|~((h|~(m)))))
0
0
0
0
not entailment
(l&(l>~(y)))
((((h|h)>(l|y))|((q>~(q))&(h>h)))&(l|q))
1
0
0
0
entailment
(~(y)>((m|m)&(~(m)&q)))
(((h&(q&m))>(l>(y&h)))&(q>(y|~(q))))
1
0
0
0
entailment
(l&(l>~(y)))
(((h&(q&m))>(l>(y&h)))&(q>(y|~(q))))
0
0
0
0
not entailment
(~(y)>((m|m)&(~(m)&q)))
((((h|h)>(l|y))|((q>~(q))&(h>h)))&(l|q))
0
0
0
0
not entailment
(y&~(((h|(m&l))|~(l))))
(y|((~(l)&q)&~((q|(m>m)))))
1
0
0
0
entailment
(q&h)
~(~(q))
1
0
1
1
entailment
(y&~(((h|(m&l))|~(l))))
~(~(q))
0
1
0
0
not entailment
(q&h)
(y|((~(l)&q)&~((q|(m>m)))))
0
0
0
0
not entailment
~(((m|h)>h))
(y|(l|m))
1
1
0
0
entailment
~((l|(q&q)))
~(((y>q)&l))
1
1
0
0
entailment
~(((m|h)>h))
~(((y>q)&l))
0
1
0
0
not entailment
~((l|(q&q)))
(y|(l|m))
0
1
0
0
not entailment
((m&y)|m)
((l|l)>m)
1
1
0
0
entailment
~((m|((q&((y>m)|h))&(y|y))))
~((q&m))
1
1
1
1
entailment
((m&y)|m)
~((q&m))
0
1
0
0
not entailment
~((m|((q&((y>m)|h))&(y|y))))
((l|l)>m)
0
1
0
0
not entailment
((~((m|y))>y)&m)
~(~((((l&(q>h))>~(h))>(l|m))))
1
0
0
0
entailment
((h|~((((h>m)&l)|h)))|h)
~(((l&(m|~(y)))&~(((h&l)&(h>h)))))
1
0
0
0
entailment
((~((m|y))>y)&m)
~(((l&(m|~(y)))&~(((h&l)&(h>h)))))
0
0
0
0
not entailment
((h|~((((h>m)&l)|h)))|h)
~(~((((l&(q>h))>~(h))>(l|m))))
0
0
0
0
not entailment
~(~(~((k|h))))
(~(~((~(((u|h)>k))&h)))|~(k))
1
0
0
0
entailment
(~((u&h))&(((~(h)|d)|h)>~(u)))
(((h|d)>(a&k))|((h|k)|(u>a)))
1
1
0
0
entailment
~(~(~((k|h))))
(((h|d)>(a&k))|((h|k)|(u>a)))
0
0
0
0
not entailment
(~((u&h))&(((~(h)|d)|h)>~(u)))
(~(~((~(((u|h)>k))&h)))|~(k))
0
1
0
0
not entailment
(((d>h)|u)&d)
((~((h|(d&u)))>a)&~(~((u|h))))
1
0
0
0
entailment
(((k|d)>(k&~(((((a>a)&k)>u)&d))))&u)
(((u>k)&d)>~(((k&k)|h)))
1
1
0
0
entailment