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
((t&g)|~(((l|(l>c))>(((t|c)>t)>~(c)))))
(~(((~((g&(t>g)))>c)&(~(t)&l)))>t)
1
1
1
1
entailment
(((((t&(t>g))|g)&g)&g)&~(l))
(g&(g>g))
1
1
1
0
entailment
((t&g)|~(((l|(l>c))>(((t|c)>t)>~(c)))))
(g&(g>g))
0
1
1
0
not entailment
(((((t&(t>g))|g)&g)&g)&~(l))
(~(((~((g&(t>g)))>c)&(~(t)&l)))>t)
0
0
0
0
not entailment
((c&l)&(c|l))
~(~(((((g&~(l))>g)|c)&(g|l))))
1
0
0
0
entailment
~(((t>g)&~(~(g))))
~(((g>c)&(l&(c&g))))
1
1
0
0
entailment
((c&l)&(c|l))
~(((g>c)&(l&(c&g))))
0
0
0
0
not entailment
~(((t>g)&~(~(g))))
~(~(((((g&~(l))>g)|c)&(g|l))))
0
0
0
0
not entailment
((t>t)>l)
((l>t)>(l|(~(l)>g)))
1
0
0
0
entailment
(c&t)
((g>(t>g))>(t>((g|(t>c))|g)))
1
0
0
0
entailment
((t>t)>l)
((g>(t>g))>(t>((g|(t>c))|g)))
0
0
0
0
not entailment
(c&t)
((l>t)>(l|(~(l)>g)))
0
0
0
0
not entailment
((((t|l)&c)|(((g|c)|~(t))|g))>t)
(l|((g|l)|t))
1
1
1
0
entailment
(~((t&(t>t)))&~(((t|c)&(c|~((t|t))))))
((t&t)>~(c))
1
1
1
1
entailment
((((t|l)&c)|(((g|c)|~(t))|g))>t)
((t&t)>~(c))
0
1
1
1
not entailment
(~((t&(t>t)))&~(((t|c)&(c|~((t|t))))))
(l|((g|l)|t))
0
1
0
0
not entailment
(~(g)&((~((c&(t|g)))&(t|t))&(~(c)|l)))
((c&~(~(l)))>(g&(~(c)&c)))
1
1
1
0
entailment
(c&((((g|l)|c)&(c|c))&g))
(((t&g)>t)&(c|(((t&t)&g)&l)))
1
0
0
0
entailment
(~(g)&((~((c&(t|g)))&(t|t))&(~(c)|l)))
(((t&g)>t)&(c|(((t&t)&g)&l)))
0
1
1
0
not entailment
(c&((((g|l)|c)&(c|c))&g))
((c&~(~(l)))>(g&(~(c)&c)))
0
0
1
0
not entailment
(((q|d)&(d>d))>(~(q)&((v|v)>~(m))))
(~(d)>(m|~(q)))
1
1
1
0
entailment
~(~(~((~((q&q))|d))))
~((((q|d)&(d|q))&(((d>m)|~(v))>d)))
1
0
0
0
entailment
(((q|d)&(d>d))>(~(q)&((v|v)>~(m))))
~((((q|d)&(d|q))&(((d>m)|~(v))>d)))
0
1
1
0
not entailment
~(~(~((~((q&q))|d))))
(~(d)>(m|~(q)))
0
1
0
0
not entailment
(((v|(m&q))&~(v))&((d>~(d))>q))
~(((((m&d)>v)&(d>(v&(q>q))))&d))
1
1
1
0
entailment
(m&v)
(~(v)>(m>d))
1
0
0
0
entailment
(((v|(m&q))&~(v))&((d>~(d))>q))
(~(v)>(m>d))
0
1
1
0
not entailment
(m&v)
~(((((m&d)>v)&(d>(v&(q>q))))&d))
0
0
0
0
not entailment
~(((d|q)|(v&(m>d))))
~(d)
1
1
1
1
entailment
((q&q)&v)
(~(q)>v)
1
1
1
1
entailment
~(((d|q)|(v&(m>d))))
(~(q)>v)
0
1
1
0
not entailment
((q&q)&v)
~(d)
0
1
0
0
not entailment
~((d|v))
((((q>m)|(~((d&q))|((q|v)&m)))&q)>(d>v))
1
0
0
0
entailment
(((m&(v&q))>(m|v))>q)
(q|v)
1
1
1
1
entailment
~((d|v))
(q|v)
0
1
0
0
not entailment
(((m&(v&q))>(m|v))>q)
((((q>m)|(~((d&q))|((q|v)&m)))&q)>(d>v))
0
0
0
0
not entailment
~((d|(q>d)))
~((d&d))
1
1
1
1
entailment
(~(((~(q)|~((v|m)))|(v&d)))|(q&m))
(~(((q|(d>d))>m))>(v|(v&m)))
1
1
1
0
entailment
~((d|(q>d)))
(~(((q|(d>d))>m))>(v|(v&m)))
0
0
0
0
not entailment
(~(((~(q)|~((v|m)))|(v&d)))|(q&m))
~((d&d))
0
1
1
1
not entailment
(q&(~(v)>(d&v)))
(q|((m>(q|v))|(q&((d|v)|m))))
1
0
0
0
entailment
(m&d)
((((m|q)&(v&q))|m)&d)
1
0
0
0
entailment
(q&(~(v)>(d&v)))
((((m|q)&(v&q))|m)&d)
0
0
0
0
not entailment
(m&d)
(q|((m>(q|v))|(q&((d|v)|m))))
0
0
0
0
not entailment
((q|(q|q))&(((d|v)>q)>d))
(~(~((~(m)>d)))|~(((d>q)&(v>m))))
1
0
0
0
entailment
(v|(d>~((~((d>~(d)))|(v>v)))))
(v|~(~((d>~((((v>m)>q)>(m&d)))))))
1
0
0
0
entailment
((q|(q|q))&(((d|v)>q)>d))
(v|~(~((d>~((((v>m)>q)>(m&d)))))))
0
0
0
0
not entailment
(v|(d>~((~((d>~(d)))|(v>v)))))
(~(~((~(m)>d)))|~(((d>q)&(v>m))))
0
0
0
0
not entailment
(q&v)
(q|~((((q|d)>(d>d))>(~(v)|d))))
1
0
0
0
entailment
~(((d>v)|(((m>v)&v)&~(m))))
((d|~(m))&(~(m)|m))
1
1
1
0
entailment
(q&v)
((d|~(m))&(~(m)|m))
0
0
0
0
not entailment
~(((d>v)|(((m>v)&v)&~(m))))
(q|~((((q|d)>(d>d))>(~(v)|d))))
0
0
0
0
not entailment
~(((v|(q>((d&q)&m)))>(v>(v>d))))
(((v|d)&(m|m))>(~((~(m)&~(d)))&~(d)))
1
0
1
0
entailment
~(((d&m)>v))
((d|m)&((d>(v>m))>((~(m)>(v|d))>(q|m))))
1
0
0
0
entailment
~(((v|(q>((d&q)&m)))>(v>(v>d))))
((d|m)&((d>(v>m))>((~(m)>(v|d))>(q|m))))
0
0
1
0
not entailment
~(((d&m)>v))
(((v|d)&(m|m))>(~((~(m)&~(d)))&~(d)))
0
0
1
0
not entailment
(m&(q|(d&v)))
((d>v)|m)
1
1
1
0
entailment
~((~(~(q))>(~(q)|v)))
(q&~(v))
1
1
1
1
entailment
(m&(q|(d&v)))
(q&~(v))
0
1
1
0
not entailment
~((~(~(q))>(~(q)|v)))
((d>v)|m)
0
1
0
0
not entailment
((v&~((v>m)))&d)
(d|m)
1
1
1
0
entailment
(~((v>d))&~((d|q)))
(d>((m>v)>q))
1
1
0
0
entailment
((v&~((v>m)))&d)
(d>((m>v)>q))
0
1
0
0
not entailment
(~((v>d))&~((d|q)))
(d|m)
0
1
0
0
not entailment
~(d)
(~(~((~(v)&(d|q))))>q)
1
0
0
0
entailment
(((d|q)|m)&~(q))
~((q|(~(~(((m|m)&(d|d))))&~(m))))
1
0
1
0
entailment
~(d)
~((q|(~(~(((m|m)&(d|d))))&~(m))))
0
0
0
0
not entailment
(((d|q)|m)&~(q))
(~(~((~(v)&(d|q))))>q)
0
0
0
0
not entailment
(((m|~((d&d)))>v)&(v|(v&m)))
((d&q)>(((~(v)>m)|((d|v)>v))|~(q)))
1
0
0
0
entailment
(d&((v&(m>d))>v))
(~(v)|(((q>(m>m))|d)>(d|((d>m)&(m&m)))))
1
0
0
0
entailment
(((m|~((d&d)))>v)&(v|(v&m)))
(~(v)|(((q>(m>m))|d)>(d|((d>m)&(m&m)))))
0
0
0
0
not entailment
(d&((v&(m>d))>v))
((d&q)>(((~(v)>m)|((d|v)>v))|~(q)))
0
0
0
0
not entailment
((((~(d)&m)|~((q|(q>(q|q)))))&~(v))&q)
~(((d>(d|d))&~(~(v))))
1
1
1
0
entailment
((d&(m>(v>v)))|~(~((m&d))))
(d|d)
1
1
1
1
entailment
((((~(d)&m)|~((q|(q>(q|q)))))&~(v))&q)
(d|d)
0
1
1
0
not entailment
((d&(m>(v>v)))|~(~((m&d))))
~(((d>(d|d))&~(~(v))))
0
1
1
0
not entailment
~((~((v|q))>(d&d)))
~((~(((v&q)&(~((v|m))&q)))>v))
1
0
0
0
entailment
~(~(d))
(~((v>d))|(~(d)>(d|(q|q))))
1
0
0
0
entailment
~((~((v|q))>(d&d)))
(~((v>d))|(~(d)>(d|(q|q))))
0
0
1
0
not entailment
~(~(d))
~((~(((v&q)&(~((v|m))&q)))>v))
0
0
0
0
not entailment
~(((~(q)>~(~((((v|d)&m)>(v|v)))))|v))
~(((~(d)|m)&q))
1
1
1
0
entailment
(m&((v|m)>(q&(m&d))))
((d&q)|~(~(((d&q)|v))))
1
0
1
0
entailment
~(((~(q)>~(~((((v|d)&m)>(v|v)))))|v))
((d&q)|~(~(((d&q)|v))))
0
1
1
0
not entailment
(m&((v|m)>(q&(m&d))))
~(((~(d)|m)&q))
0
1
1
0
not entailment
((r&~(v))&~((~(v)&v)))
(v>(~((v&(l|r)))&~(l)))
1
1
0
0
entailment
(~((x>l))&((~(((l&l)&r))>l)>((l|x)&v)))
((v>(~(r)&v))>x)
1
1
1
0
entailment
((r&~(v))&~((~(v)&v)))
((v>(~(r)&v))>x)
0
1
0
0
not entailment
(~((x>l))&((~(((l&l)&r))>l)>((l|x)&v)))
(v>(~((v&(l|r)))&~(l)))
0
1
1
0
not entailment
(((v&r)>x)>r)
(r|(~(((r>r)>((x&x)&v)))&(~(~(r))|l)))
1
0
0
0
entailment
~((((x&v)&((v>x)>(l>(r|(v&x)))))|(x|l)))
(x>v)
1
1
1
0
entailment
(((v&r)>x)>r)
(x>v)
0
1
1
1
not entailment
~((((x&v)&((v>x)>(l>(r|(v&x)))))|(x|l)))
(r|(~(((r>r)>((x&x)&v)))&(~(~(r))|l)))
0
1
1
0
not entailment
~(~((((x|x)|v)&x)))
((~(l)|~(v))|~(~(~(~(((r|x)|r))))))
1
0
0
0
entailment
((x>v)&l)
(((x|(v|x))>l)|(l|r))
1
0
0
0
entailment
~(~((((x|x)|v)&x)))
(((x|(v|x))>l)|(l|r))
0
1
0
0
not entailment
((x>v)&l)
((~(l)|~(v))|~(~(~(~(((r|x)|r))))))
0
0
0
0
not entailment
(x&(v|(~(v)>l)))
((~((r&v))>(~(l)&v))>(x|r))
1
0
0
0
entailment
~(x)
~(((v&(~((x|~((x&v))))|(x&v)))&~(l)))
1
0
0
0
entailment
(x&(v|(~(v)>l)))
~(((v&(~((x|~((x&v))))|(x&v)))&~(l)))
0
0
1
0
not entailment
~(x)
((~((r&v))>(~(l)&v))>(x|r))
0
0
0
0
not entailment