Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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&l)&~(~((u|u))))>~(t)))
((l&(u>~((t&u))))>(~(t)&(t|t)))
1
1
1
0
entailment
(~(o)&(u>(t>t)))
~(~(~((~((o>~(l)))&t))))
1
0
0
0
entailment
~((((t&l)&~(~((u|u))))>~(t)))
~(~(~((~((o>~(l)))&t))))
0
1
0
0
not entailment
(~(o)&(u>(t>t)))
((l&(u>~((t&u))))>(~(t)&(t|t)))
0
0
0
0
not entailment
~((~(o)|(o>l)))
(((t&(o&u))|(u|((u&t)&~(o))))>o)
1
0
0
0
entailment
(l&y)
~(~(((~(y)>u)|(t&y))))
1
0
0
0
entailment
~((~(o)|(o>l)))
~(~(((~(y)>u)|(t&y))))
0
0
0
0
not entailment
(l&y)
(((t&(o&u))|(u|((u&t)&~(o))))>o)
0
0
0
0
not entailment
~(((~(l)>~(t))>(l>~((t&o)))))
(l|l)
1
1
1
1
entailment
(y&y)
(y|((y&y)&(o&y)))
1
0
0
0
entailment
~(((~(l)>~(t))>(l>~((t&o)))))
(y|((y&y)&(o&y)))
0
1
0
0
not entailment
(y&y)
(l|l)
0
1
0
0
not entailment
((~(((a&(~(t)&t))|~(t)))&(t&t))|t)
((t|t)|(a>(a>((a>t)|t))))
1
1
1
1
entailment
~(((a&a)>t))
(~(~(~((((a&t)&t)>(t>t)))))|(a&(a>a)))
1
0
1
0
entailment
((~(((a&(~(t)&t))|~(t)))&(t&t))|t)
(~(~(~((((a&t)&t)>(t>t)))))|(a&(a>a)))
0
0
1
0
not entailment
~(((a&a)>t))
((t|t)|(a>(a>((a>t)|t))))
0
0
1
0
not entailment
~(((~(t)|a)|(a&a)))
(a>t)
1
1
1
1
entailment
~(((t>a)>((~(a)|a)&t)))
(~(t)|((t&a)&a))
1
1
1
0
entailment
~(((~(t)|a)|(a&a)))
(~(t)|((t&a)&a))
0
1
1
0
not entailment
~(((t>a)>((~(a)|a)&t)))
(a>t)
0
1
1
0
not entailment
~(((t|a)|t))
(((((a|(~(t)&t))|t)>t)|~(a))|t)
1
0
1
0
entailment
~(((a>t)&(((a>a)|(a&a))|t)))
(~(~(t))|(~(a)>t))
1
1
1
0
entailment
~(((t|a)|t))
(~(~(t))|(~(a)>t))
0
0
1
0
not entailment
~(((a>t)&(((a>a)|(a&a))|t)))
(((((a|(~(t)&t))|t)>t)|~(a))|t)
0
0
1
0
not entailment
(a&t)
((a|t)&((t&a)>t))
1
0
1
0
entailment
~((t|(t|a)))
~((a&t))
1
1
1
1
entailment
(a&t)
~((a&t))
0
0
1
0
not entailment
~((t|(t|a)))
((a|t)&((t&a)>t))
0
0
1
0
not entailment
(((t&t)|t)&((~(t)>((t|(a|t))|t))>a))
(t|(a|(a&a)))
1
1
1
1
entailment
~((a|(t&t)))
((~(a)|~(((a|a)|(a|((t>a)|a)))))&~(t))
1
0
1
0
entailment
(((t&t)|t)&((~(t)>((t|(a|t))|t))>a))
((~(a)|~(((a|a)|(a|((t>a)|a)))))&~(t))
0
0
1
1
not entailment
~((a|(t&t)))
(t|(a|(a&a)))
0
1
1
0
not entailment
(t|t)
(~(a)|t)
1
0
0
0
entailment
(a|(a&t))
((a>a)&((a|t)&(t>a)))
1
0
1
0
entailment
(t|t)
((a>a)&((a|t)&(t>a)))
0
0
0
0
not entailment
(a|(a&t))
(~(a)|t)
0
1
1
0
not entailment
~((~(t)|(a>~((t&(a|(a>t)))))))
(t&(t>a))
1
1
1
0
entailment
~(((a>t)&t))
~(((~(((a|a)>(t&t)))&(a&t))|((a>a)&t)))
1
0
1
0
entailment
~((~(t)|(a>~((t&(a|(a>t)))))))
~(((~(((a|a)>(t&t)))&(a&t))|((a>a)&t)))
0
0
1
0
not entailment
~(((a>t)&t))
(t&(t>a))
0
1
1
0
not entailment
(((~((~(t)|t))>t)>(a&a))&a)
(a&(a|(a&t)))
1
1
1
1
entailment
((t&a)|(~(~(~(~(~(~((a>a)))))))>t))
(((((t&~(t))|(t>t))>t)>t)&t)
1
1
1
0
entailment
(((~((~(t)|t))>t)>(a&a))&a)
(((((t&~(t))|(t>t))>t)>t)&t)
0
1
1
1
not entailment
((t&a)|(~(~(~(~(~(~((a>a)))))))>t))
(a&(a|(a&t)))
0
1
1
1
not entailment
(a|((a&t)|t))
((~((t>a))|a)&(a>(t>t)))
1
0
1
0
entailment
~((a|t))
(t>((t|(t>a))&((t>a)|(a&t))))
1
0
1
0
entailment
(a|((a&t)|t))
(t>((t|(t>a))&((t>a)|(a&t))))
0
0
1
0
not entailment
~((a|t))
((~((t>a))|a)&(a>(t>t)))
0
0
1
0
not entailment
~(~(~(((t&(t>t))>(a&t)))))
(a>~(((a|a)&((a|a)|~(t)))))
1
1
1
1
entailment
((t|(a|t))&(a|a))
((t&a)|((a>t)>~((a>t))))
1
0
1
0
entailment
~(~(~(((t&(t>t))>(a&t)))))
((t&a)|((a>t)>~((a>t))))
0
1
1
0
not entailment
((t|(a|t))&(a|a))
(a>~(((a|a)&((a|a)|~(t)))))
0
0
1
0
not entailment
(o>(~(~((o|~((v|(o&v))))))&v))
((o>(o>~(o)))|v)
1
1
1
1
entailment
((o|~(v))&(~(v)>o))
(o|(v|v))
1
1
1
1
entailment
(o>(~(~((o|~((v|(o&v))))))&v))
(o|(v|v))
0
1
1
1
not entailment
((o|~(v))&(~(v)>o))
((o>(o>~(o)))|v)
0
1
1
0
not entailment
((o>((o|o)>v))>o)
(v>(o|o))
1
1
1
1
entailment
(~(~((v&v)))&v)
(v|(v&(v&o)))
1
1
0
0
entailment
((o>((o|o)>v))>o)
(v|(v&(v&o)))
0
1
1
0
not entailment
(~(~((v&v)))&v)
(v>(o|o))
0
1
0
0
not entailment
(((~(((v|v)&v))>v)>(~(v)>(o&v)))&(v&o))
((o>(v&v))|(~((o|o))&o))
1
1
1
0
entailment
~(v)
(~(v)&(~(o)|(o>(v>v))))
1
0
0
0
entailment
(((~(((v|v)&v))>v)>(~(v)>(o&v)))&(v&o))
(~(v)&(~(o)|(o>(v>v))))
0
1
1
0
not entailment
~(v)
((o>(v&v))|(~((o|o))&o))
0
0
0
0
not entailment
(o&(~(o)|o))
((v|((o&v)>(v>(o|o))))&o)
1
0
0
0
entailment
(v&v)
(v&v)
1
1
1
1
entailment
(o&(~(o)|o))
(v&v)
0
1
0
0
not entailment
(v&v)
((v|((o&v)>(v>(o|o))))&o)
0
0
0
0
not entailment
((v>~(~(o)))&o)
(v|o)
1
1
1
0
entailment
~((((v>o)>(o&o))|o))
((((~(~(v))|o)>v)>v)>v)
1
0
1
0
entailment
((v>~(~(o)))&o)
((((~(~(v))|o)>v)>v)>v)
0
0
1
0
not entailment
~((((v>o)>(o&o))|o))
(v|o)
0
1
1
0
not entailment
~(((v|v)>~(v)))
~(~((o|v)))
1
1
0
0
entailment
(((v|v)|(v&v))>(v>~((v&o))))
(~((v&o))&(~(v)|(o>v)))
1
1
1
0
entailment
~(((v|v)>~(v)))
(~((v&o))&(~(v)|(o>v)))
0
0
0
0
not entailment
(((v|v)|(v&v))>(v>~((v&o))))
~(~((o|v)))
0
1
1
0
not entailment
~(((~(m)|s)|(a>c)))
(s|a)
1
1
1
0
entailment
(~((c>m))&((a>s)|(~(c)>(d|~(s)))))
((c|(a|c))>c)
1
1
1
0
entailment
~(((~(m)|s)|(a>c)))
((c|(a|c))>c)
0
1
1
0
not entailment
(~((c>m))&((a>s)|(~(c)>(d|~(s)))))
(s|a)
0
1
1
0
not entailment
(a&s)
(~(a)>s)
1
0
1
1
entailment
(((m&c)&f)&((d|c)&f))
(c&((a|c)|(~(s)>((s|c)>s))))
1
0
0
0
entailment
(a&s)
(c&((a|c)|(~(s)>((s|c)>s))))
0
0
0
0
not entailment
(((m&c)&f)&((d|c)&f))
(~(a)>s)
0
1
0
0
not entailment
~(((~(f)>v)>((~(f)&a)&~((a>s)))))
(s>(~(((v>f)>f))>~(((a>m)|d))))
1
1
0
0
entailment
(~((~(((v|c)&a))&(s>s)))&c)
((a|m)>(((((v>d)>s)|(a>f))>s)|c))
1
0
0
0
entailment
~(((~(f)>v)>((~(f)&a)&~((a>s)))))
((a|m)>(((((v>d)>s)|(a>f))>s)|c))
0
1
0
0
not entailment
(~((~(((v|c)&a))&(s>s)))&c)
(s>(~(((v>f)>f))>~(((a>m)|d))))
0
0
0
0
not entailment
~((a>(f&s)))
((d|a)|v)
1
1
0
0
entailment
~(c)
(s>(~(c)|(a>d)))
1
0
0
0
entailment
~((a>(f&s)))
(s>(~(c)|(a>d)))
0
0
0
0
not entailment
~(c)
((d|a)|v)
0
0
0
0
not entailment
((((c>f)&s)&(a&(c|((f>d)&m))))&(v&c))
(c>f)
1
1
1
1
entailment
~((~((a|d))>~(~((f&a)))))
(((s&a)|a)>~(((m|(a|c))&(m|v))))
1
0
0
0
entailment
((((c>f)&s)&(a&(c|((f>d)&m))))&(v&c))
(((s&a)|a)>~(((m|(a|c))&(m|v))))
0
1
1
0
not entailment
~((~((a|d))>~(~((f&a)))))
(c>f)
0
1
0
0
not entailment
((a&s)&f)
((d>(f&(d>d)))|(s|(~((a|v))&d)))
1
0
0
0
entailment
(d&(a|((c|v)>(m&(f&~(c))))))
((v|(f&~(c)))>d)
1
1
1
0
entailment
((a&s)&f)
((v|(f&~(c)))>d)
0
0
0
0
not entailment
(d&(a|((c|v)>(m&(f&~(c))))))
((d>(f&(d>d)))|(s|(~((a|v))&d)))
0
0
0
0
not entailment