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
(a&(x&e))
(((l&y)|a)|(((((l&y)>o)|(a|a))|x)>a))
1
0
0
0
entailment
((a>x)&((l|(l&x))&~((l&s))))
(((l&y)|a)|(((((l&y)>o)|(a|a))|x)>a))
0
0
0
0
not entailment
(a&(x&e))
(l|((e>c)|((e>~((x>e)))|y)))
0
0
0
0
not entailment
(~((o>y))&((c&s)&c))
(~((c>x))|o)
1
1
0
0
entailment
~((((c|s)|((l|l)|y))|(c&(o|c))))
(x>(~(~((o&l)))>~(((s&o)&(~(l)|s)))))
1
0
0
0
entailment
(~((o>y))&((c&s)&c))
(x>(~(~((o&l)))>~(((s&o)&(~(l)|s)))))
0
0
0
0
not entailment
~((((c|s)|((l|l)|y))|(c&(o|c))))
(~((c>x))|o)
0
1
0
0
not entailment
(~(l)&~(((c&~(o))>(o&(~(l)&a)))))
((((s&c)|(o>o))>(a>c))|~((l&e)))
1
1
0
0
entailment
(s&(o&(~(((c>x)>~(y)))>(l&~(l)))))
(o|((~((c|(c&(y>s))))>a)>((a&y)&c)))
1
1
0
0
entailment
(~(l)&~(((c&~(o))>(o&(~(l)&a)))))
(o|((~((c|(c&(y>s))))>a)>((a&y)&c)))
0
1
0
0
not entailment
(s&(o&(~(((c>x)>~(y)))>(l&~(l)))))
((((s&c)|(o>o))>(a>c))|~((l&e)))
0
1
0
0
not entailment
(c&x)
(((x&x)>l)>c)
1
0
0
0
entailment
((l|e)&e)
((~(l)|y)|((e|~(x))|((e|x)&s)))
1
0
0
0
entailment
(c&x)
((~(l)|y)|((e|~(x))|((e|x)&s)))
0
0
0
0
not entailment
((l|e)&e)
(((x&x)>l)>c)
0
0
0
0
not entailment
(~(((a>~(l))|~(e)))|(s&((~(x)|o)|e)))
((((x|y)>~((((y|y)|o)>s)))>(x|e))|s)
1
1
0
0
entailment
~((~(~(c))>s))
((x|c)>(e>c))
1
1
0
0
entailment
(~(((a>~(l))|~(e)))|(s&((~(x)|o)|e)))
((x|c)>(e>c))
0
1
0
0
not entailment
~((~(~(c))>s))
((((x|y)>~((((y|y)|o)>s)))>(x|e))|s)
0
0
0
0
not entailment
(((c>o)&((y&x)&a))&(c>~(o)))
((c|a)|(~(((x|(x>a))&x))>(x&x)))
1
0
1
0
entailment
(((x|(y>x))>(~(s)&l))&~((~((e>c))>s)))
~(s)
1
1
1
1
entailment
(((c>o)&((y&x)&a))&(c>~(o)))
~(s)
0
1
0
0
not entailment
(((x|(y>x))>(~(s)&l))&~((~((e>c))>s)))
((c|a)|(~(((x|(x>a))&x))>(x&x)))
0
1
0
0
not entailment
((s&l)&(l>((e|((l|(~(c)>s))&(l&e)))|x)))
((c>e)|(x>(e|s)))
1
1
1
0
entailment
~((s|y))
~(~((y>((((e>a)|s)>y)>~((l&o))))))
1
0
0
0
entailment
((s&l)&(l>((e|((l|(~(c)>s))&(l&e)))|x)))
~(~((y>((((e>a)|s)>y)>~((l&o))))))
0
1
0
0
not entailment
~((s|y))
((c>e)|(x>(e|s)))
0
0
0
0
not entailment
(x&e)
(a|e)
1
1
0
0
entailment
~((~((e|l))>(((e|e)|~(s))|c)))
(c|~((e&~(l))))
1
1
1
0
entailment
(x&e)
(c|~((e&~(l))))
0
0
0
0
not entailment
~((~((e|l))>(((e|e)|~(s))|c)))
(a|e)
0
1
0
0
not entailment
(s&a)
(c|(~(((y>a)>~(((~((a>x))&o)>y))))|s))
1
0
0
0
entailment
(y&(s>~(((y>~(e))&(s|l)))))
(~(y)>y)
1
1
1
1
entailment
(s&a)
(~(y)>y)
0
0
0
0
not entailment
(y&(s>~(((y>~(e))&(s|l)))))
(c|(~(((y>a)>~(((~((a>x))&o)>y))))|s))
0
0
0
0
not entailment
(a&e)
(((s|a)|(l|(s&y)))|((x&o)|y))
1
0
0
0
entailment
~((~(((y&(~(x)&e))|(s&e)))>(s|o)))
~(o)
1
1
1
1
entailment
(a&e)
~(o)
0
1
0
0
not entailment
~((~(((y&(~(x)&e))|(s&e)))>(s|o)))
(((s|a)|(l|(s&y)))|((x&o)|y))
0
1
0
0
not entailment
((x>o)&s)
(s|a)
1
1
0
0
entailment
(((a&o)|(c&(((l&y)|e)&(e|o))))&c)
((a|c)|(y|(c&((o&o)|x))))
1
1
0
0
entailment
((x>o)&s)
((a|c)|(y|(c&((o&o)|x))))
0
0
0
0
not entailment
(((a&o)|(c&(((l&y)|e)&(e|o))))&c)
(s|a)
0
1
0
0
not entailment
~(~((((c&s)&~(l))&o)))
((e|c)|~(((l&o)>e)))
1
1
0
0
entailment
~((o|s))
(o>((a>l)|(a>e)))
1
0
0
0
entailment
~(~((((c&s)&~(l))&o)))
(o>((a>l)|(a>e)))
0
1
0
0
not entailment
~((o|s))
((e|c)|~(((l&o)>e)))
0
0
0
0
not entailment
(((c&(e|x))&s)&(x|o))
(c|(o|a))
1
1
0
0
entailment
(l&((((y|a)|e)&(o|e))>~((y&e))))
((~(s)|l)|((e&l)&(c>c)))
1
1
0
0
entailment
(((c&(e|x))&s)&(x|o))
((~(s)|l)|((e&l)&(c>c)))
0
0
0
0
not entailment
(l&((((y|a)|e)&(o|e))>~((y&e))))
(c|(o|a))
0
1
0
0
not entailment
(~(h)&((q&((l>o)&q))&~(h)))
(h>(m&l))
1
1
0
0
entailment
~((o|~(~(~((((m&q)|(l|h))|(m|h)))))))
(o>~((((q&(m&f))|(l&f))|(q&(f|l)))))
1
1
0
0
entailment
(~(h)&((q&((l>o)&q))&~(h)))
(o>~((((q&(m&f))|(l&f))|(q&(f|l)))))
0
0
0
0
not entailment
~((o|~(~(~((((m&q)|(l|h))|(m|h)))))))
(h>(m&l))
0
1
1
0
not entailment
(m&(q&f))
(m|(((l|o)|~(l))&((q&l)&~(q))))
1
0
0
0
entailment
((l>~(f))&(((~(f)|q)>h)&(o&q)))
(~(((m&h)&q))>h)
1
1
0
0
entailment
(m&(q&f))
(~(((m&h)&q))>h)
0
0
0
0
not entailment
((l>~(f))&(((~(f)|q)>h)&(o&q)))
(m|(((l|o)|~(l))&((q&l)&~(q))))
0
1
0
0
not entailment
((l>q)&(m&q))
(m&(h|m))
1
1
0
0
entailment
~((f|m))
((((h|m)>~((q&~(((h>l)>~(q))))))|h)|f)
1
0
0
0
entailment
((l>q)&(m&q))
((((h|m)>~((q&~(((h>l)>~(q))))))|h)|f)
0
0
0
0
not entailment
~((f|m))
(m&(h|m))
0
1
0
0
not entailment
(((~((h&(o&l)))|~(f))&m)&((m&o)|f))
(((m|f)|m)|(m&(l&l)))
1
1
1
0
entailment
~(f)
~((o&f))
1
0
0
0
entailment
(((~((h&(o&l)))|~(f))&m)&((m&o)|f))
~((o&f))
0
1
1
1
not entailment
~(f)
(((m|f)|m)|(m&(l&l)))
0
0
0
0
not entailment
~(((m>(m|h))>(~(h)|~((q&f)))))
((h|f)|(((l&(h>h))&(m|o))|(o&(h&l))))
1
0
0
0
entailment
(m&((((l&m)&~(m))&(q|o))|((q|(l|l))&o)))
((o|(q>m))|(((o|h)&(f&(l|f)))&(l&f)))
1
1
0
0
entailment
~(((m>(m|h))>(~(h)|~((q&f)))))
((o|(q>m))|(((o|h)&(f&(l|f)))&(l&f)))
0
0
0
0
not entailment
(m&((((l&m)&~(m))&(q|o))|((q|(l|l))&o)))
((h|f)|(((l&(h>h))&(m|o))|(o&(h&l))))
0
1
0
0
not entailment
(((~(f)|l)&h)&~((m>(q>(f&f)))))
(((q>m)|(((q&o)&o)&~(o)))&(h>(q&q)))
1
0
0
0
entailment
((m&l)&f)
(o>l)
1
1
0
0
entailment
(((~(f)|l)&h)&~((m>(q>(f&f)))))
(o>l)
0
1
0
0
not entailment
((m&l)&f)
(((q>m)|(((q&o)&o)&~(o)))&(h>(q&q)))
0
0
0
0
not entailment
~((f>(((m|(m>m))>m)|(h|o))))
(~((~((l|f))&o))|((f|q)&m))
1
1
0
0
entailment
(q|~((m|~(q))))
~(~(((l|o)>~(~((q&q))))))
1
0
0
0
entailment
~((f>(((m|(m>m))>m)|(h|o))))
~(~(((l|o)>~(~((q&q))))))
0
1
0
0
not entailment
(q|~((m|~(q))))
(~((~((l|f))&o))|((f|q)&m))
0
0
0
0
not entailment
((q|q)&(l&(((f|h)|h)>m)))
(((m>(f&m))>o)|(q|m))
1
1
0
0
entailment
((l>q)&~((q&(m|h))))
((l&o)>(h>~((~(m)|f))))
1
0
0
0
entailment
((q|q)&(l&(((f|h)|h)>m)))
((l&o)>(h>~((~(m)|f))))
0
1
0
0
not entailment
((l>q)&~((q&(m|h))))
(((m>(f&m))>o)|(q|m))
0
1
0
0
not entailment
(((l&((l>q)>h))>(q|l))&m)
~(~(m))
1
1
1
1
entailment
((l&(~(q)>((m&l)|m)))&(f|(f|~(l))))
(~(((~(((q|l)&(q>m)))|o)|l))>h)
1
1
0
0
entailment
(((l&((l>q)>h))>(q|l))&m)
(~(((~(((q|l)&(q>m)))|o)|l))>h)
0
0
0
0
not entailment
((l&(~(q)>((m&l)|m)))&(f|(f|~(l))))
~(~(m))
0
1
1
1
not entailment
((f&~(q))&((~(q)&m)&((m>h)|q)))
(((q|f)|~(q))&(m|((q&o)&h)))
1
1
0
0
entailment
~(l)
((l>q)|(~((q|(h>o)))&h))
1
0
0
0
entailment
((f&~(q))&((~(q)&m)&((m>h)|q)))
((l>q)|(~((q|(h>o)))&h))
0
1
0
0
not entailment
~(l)
(((q|f)|~(q))&(m|((q&o)&h)))
0
0
0
0
not entailment
~((((l|o)&~(((o|o)&f)))>l))
~(~((f>~(~(m)))))
1
1
0
0
entailment
((o|o)&q)
(~((m>(h>q)))>((o|f)&(l&(m>f))))
1
0
0
0
entailment
~((((l|o)&~(((o|o)&f)))>l))
(~((m>(h>q)))>((o|f)&(l&(m>f))))
0
0
0
0
not entailment
((o|o)&q)
~(~((f>~(~(m)))))
0
0
0
0
not entailment
((o>h)&((l&m)&h))
~(~((f|~(~(l)))))
1
0
0
0
entailment
~(((m|o)|~(((h|h)>(o&m)))))
(~(h)&(h>l))
1
1
0
0
entailment
((o>h)&((l&m)&h))
(~(h)&(h>l))
0
1
1
0
not entailment
~(((m|o)|~(((h|h)>(o&m)))))
~(~((f|~(~(l)))))
0
1
0
0
not entailment
(~((l>o))&(((h|h)>m)|~(m)))
~((~(~(~(~((q&(l|h))))))&o))
1
0
0
0
entailment