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
(s&j)
((m&m)>~(((((m&j)>w)>a)&(p&m))))
0
0
0
0
not entailment
~(((m|m)|((((w>m)>w)|j)|(m|(a|w)))))
((a>(w&(p>w)))>(((m&w)&a)|(((p&j)&w)|j)))
0
0
0
0
not entailment
(~(m)&s)
((s|s)|w)
1
1
0
0
entailment
(~((((p>(m&s))|w)>s))&((s>m)>~((j|s))))
(((m|(m|(m>w)))|a)>~(j))
1
1
0
0
entailment
(~(m)&s)
(((m|(m|(m>w)))|a)>~(j))
0
0
0
0
not entailment
(~((((p>(m&s))|w)>s))&((s>m)>~((j|s))))
((s|s)|w)
0
1
1
1
not entailment
~(o)
((~(t)&((t&t)>t))>(o>(t|t)))
1
0
0
0
entailment
((t>((o&o)&(o>t)))&(o&(~(t)|(o|t))))
((o&~(t))|((o>o)>t))
1
1
1
1
entailment
~(o)
((o&~(t))|((o>o)>t))
0
0
0
0
not entailment
((t>((o&o)&(o>t)))&(o&(~(t)|(o|t))))
((~(t)&((t&t)>t))>(o>(t|t)))
0
1
1
1
not entailment
((~((t&o))&((t>o)|t))>t)
((t&(t|(((o|t)|(o&t))&((t&t)|(o&t)))))&t)
1
0
1
1
entailment
~(~(~((o|t))))
(t>o)
1
1
1
0
entailment
((~((t&o))&((t>o)|t))>t)
(t>o)
0
1
1
1
not entailment
~(~(~((o|t))))
((t&(t|(((o|t)|(o&t))&((t&t)|(o&t)))))&t)
0
0
1
0
not entailment
(o&(t|t))
(((~(t)|o)|t)&(o&(t&o)))
1
0
1
0
entailment
((~((t>o))|((o>(o&o))>o))&~((o|o)))
(t&~((o|o)))
1
1
1
1
entailment
(o&(t|t))
(t&~((o|o)))
0
0
1
0
not entailment
((~((t>o))|((o>(o&o))>o))&~((o|o)))
(((~(t)|o)|t)&(o&(t&o)))
0
1
1
0
not entailment
(((o|(t>o))&t)&(((~(t)|t)>o)&(o|o)))
(o&t)
1
1
1
1
entailment
~(o)
(o>(o&(o&~(o))))
1
0
1
0
entailment
(((o|(t>o))&t)&(((~(t)|t)>o)&(o|o)))
(o>(o&(o&~(o))))
0
1
1
0
not entailment
~(o)
(o&t)
0
1
0
0
not entailment
((~(~((t|t)))|(t|(t&o)))&(o>~(o)))
(t|(o&o))
1
1
1
1
entailment
((o|t)>(o&o))
~(~((t>o)))
1
1
1
1
entailment
((~(~((t|t)))|(t|(t&o)))&(o>~(o)))
~(~((t>o)))
0
1
1
0
not entailment
((o|t)>(o&o))
(t|(o&o))
0
1
1
0
not entailment
~(t)
((t>(o&t))>~(t))
1
0
0
0
entailment
(o&t)
((t>(o&t))>~(t))
0
0
1
0
not entailment
~(t)
(o|t)
0
1
0
0
not entailment
(o&t)
(o|(~(((t>t)>(o&t)))&(t|o)))
1
0
1
0
entailment
(((~(t)|t)&~(t))|~(o))
~((~((~(~(o))>~((o|t))))&(t&(o&t))))
1
0
1
1
entailment
(o&t)
~((~((~(~(o))>~((o|t))))&(t&(o&t))))
0
0
1
0
not entailment
(((~(t)|t)&~(t))|~(o))
(o|(~(((t>t)>(o&t)))&(t|o)))
0
0
1
0
not entailment
(t>(o&o))
(t>o)
1
1
1
1
entailment
((~((~(t)>t))&(o>~(t)))>(t|~(o)))
((o&(o|o))>t)
1
1
1
1
entailment
(t>(o&o))
((o&(o|o))>t)
0
0
1
0
not entailment
((~((~(t)>t))&(o>~(t)))>(t|~(o)))
(t>o)
0
1
1
0
not entailment
((~((x>~(x)))&(u&a))&(s>(c&u)))
((~(x)>~(c))|(c&(u&y)))
1
1
0
0
entailment
((c&p)&y)
~(~((s|p)))
1
0
0
0
entailment
((~((x>~(x)))&(u&a))&(s>(c&u)))
~(~((s|p)))
0
1
0
0
not entailment
((c&p)&y)
((~(x)>~(c))|(c&(u&y)))
0
0
0
0
not entailment
(u&s)
~(((((v|a)&y)&~(p))&~(u)))
1
0
0
0
entailment
((((x|p)&((u&p)|u))>s)&(x&(c|(~(c)|s))))
((y|v)>x)
1
1
0
0
entailment
(u&s)
((y|v)>x)
0
0
0
0
not entailment
((((x|p)&((u&p)|u))>s)&(x&(c|(~(c)|s))))
~(((((v|a)&y)&~(p))&~(u)))
0
1
0
0
not entailment
((x&u)&a)
(y>(p>u))
1
1
0
0
entailment
(((v&(p>u))>c)&(p&s))
(c|(s&p))
1
1
1
1
entailment
((x&u)&a)
(c|(s&p))
0
1
0
0
not entailment
(((v&(p>u))>c)&(p&s))
(y>(p>u))
0
1
0
0
not entailment
~(((y&a)>(p&(~(y)>y))))
(((y>c)&a)|((((s>v)|u)>(y>a))|(~(v)&x)))
1
0
0
0
entailment
~((~(~(~((s>u))))>~(c)))
((~(((v>y)|(u|c)))|s)|(s&p))
1
1
0
0
entailment
~(((y&a)>(p&(~(y)>y))))
((~(((v>y)|(u|c)))|s)|(s&p))
0
0
0
0
not entailment
~((~(~(~((s>u))))>~(c)))
(((y>c)&a)|((((s>v)|u)>(y>a))|(~(v)&x)))
0
0
0
0
not entailment
~(~(c))
(~((((p>a)|c)&c))>(p&x))
1
0
0
0
entailment
(((v>a)>((~(x)>s)|u))&(~(s)&p))
(~(((v>y)>(y|(a&p))))>p)
1
1
0
0
entailment
~(~(c))
(~(((v>y)>(y|(a&p))))>p)
0
0
0
0
not entailment
(((v>a)>((~(x)>s)|u))&(~(s)&p))
(~((((p>a)|c)&c))>(p&x))
0
1
0
0
not entailment
~(~((x&((~(y)>p)&x))))
((y>(s>c))|((~(u)|(x|v))&(x|v)))
1
0
0
0
entailment
((~(((y&p)|(((s>v)>s)>a)))&s)|~((a>c)))
((y|(x>((v>a)&a)))|((y|c)>(~(a)&s)))
1
1
0
0
entailment
~(~((x&((~(y)>p)&x))))
((y|(x>((v>a)&a)))|((y|c)>(~(a)&s)))
0
0
0
0
not entailment
((~(((y&p)|(((s>v)>s)>a)))&s)|~((a>c)))
((y>(s>c))|((~(u)|(x|v))&(x|v)))
0
1
0
0
not entailment
(u&a)
~(~((~(~((v&(~((p|x))>~(s)))))>a)))
1
0
0
0
entailment
(p&s)
((a|(~((c|s))>(~(v)&x)))&p)
1
0
0
0
entailment
(u&a)
((a|(~((c|s))>(~(v)&x)))&p)
0
0
0
0
not entailment
(p&s)
~(~((~(~((v&(~((p|x))>~(s)))))>a)))
0
0
0
0
not entailment
((((p|c)&u)|((((c&y)|v)&v)|~(s)))&(x|x))
~(((y>y)>~(x)))
1
1
1
0
entailment
(~(~(y))>(a&~(a)))
(((((v&c)&y)&(~(a)|s))&x)>a)
1
0
0
0
entailment
((((p|c)&u)|((((c&y)|v)&v)|~(s)))&(x|x))
(((((v&c)&y)&(~(a)|s))&x)>a)
0
1
0
0
not entailment
(~(~(y))>(a&~(a)))
~(((y>y)>~(x)))
0
1
0
0
not entailment
(a&(s>a))
((~(~(c))|(x>a))|(p&v))
1
0
0
0
entailment
(((x&y)&u)&~(((~(c)&v)>((s&u)&(a>s)))))
((~(x)|p)|((u>x)>v))
1
1
0
0
entailment
(a&(s>a))
((~(x)|p)|((u>x)>v))
0
0
0
0
not entailment
(((x&y)&u)&~(((~(c)&v)>((s&u)&(a>s)))))
((~(~(c))|(x>a))|(p&v))
0
1
0
0
not entailment
~(((u&(a&u))>p))
(c>(c&u))
1
1
0
0
entailment
(((x>c)>v)&~(~(((p|c)|(c>(y>u))))))
(~(v)>x)
1
1
1
1
entailment
~(((u&(a&u))>p))
(~(v)>x)
0
1
0
0
not entailment
(((x>c)>v)&~(~(((p|c)|(c>(y>u))))))
(c>(c&u))
0
1
1
1
not entailment
((~(~((p&s)))&~(~(~(~(u)))))&u)
(p|(c&v))
1
1
0
0
entailment
(a&(~(v)|(u&v)))
(((((c>s)&y)>~(a))|(u>y))>((u&c)>a))
1
0
0
0
entailment
((~(~((p&s)))&~(~(~(~(u)))))&u)
(((((c>s)&y)>~(a))|(u>y))>((u&c)>a))
0
1
0
0
not entailment
(a&(~(v)|(u&v)))
(p|(c&v))
0
1
0
0
not entailment
~(((p>~(p))|c))
(a|p)
1
1
0
0
entailment
(~(p)&~(~((a>~(u)))))
~((~(~((x|p)))&((x>v)&~(((y>y)&x)))))
1
0
0
0
entailment
~(((p>~(p))|c))
~((~(~((x|p)))&((x>v)&~(((y>y)&x)))))
0
0
0
0
not entailment
(~(p)&~(~((a>~(u)))))
(a|p)
0
1
1
0
not entailment
~(~(x))
(((x&a)|v)>x)
1
0
0
0
entailment
~(~((a|((((c&u)&a)>u)>(s>a)))))
((x>(p>a))|(s>(~(~(((s&c)&x)))&(a&c))))
1
0
0
0
entailment
~(~(x))
((x>(p>a))|(s>(~(~(((s&c)&x)))&(a&c))))
0
0
0
0
not entailment
~(~((a|((((c&u)&a)>u)>(s>a)))))
(((x&a)|v)>x)
0
1
0
0
not entailment
(~(((s>p)>v))&~(((p&p)&((p|a)&p))))
~((p&((p|s)&~(a))))
1
1
1
0
entailment
(~(s)&~((~(a)>~((y|(u|p))))))
(~((y&(x|(v|y))))>(~(a)&((u&a)>~(p))))
1
0
0
0
entailment
(~(((s>p)>v))&~(((p&p)&((p|a)&p))))
(~((y&(x|(v|y))))>(~(a)&((u&a)>~(p))))
0
0
0
0
not entailment
(~(s)&~((~(a)>~((y|(u|p))))))
~((p&((p|s)&~(a))))
0
1
1
0
not entailment
~(((~((c&(v|a)))|c)>((s&~(c))>u)))
(((((v|~(v))|u)|~(p))>(c&v))>(x&v))
1
1
0
0
entailment
((a|~(a))>(v&(s>(y|x))))
(((~((p>a))|s)|(v>p))>(y>v))
1
0
0
0
entailment
~(((~((c&(v|a)))|c)>((s&~(c))>u)))
(((~((p>a))|s)|(v>p))>(y>v))
0
1
0
0
not entailment
((a|~(a))>(v&(s>(y|x))))
(((((v|~(v))|u)|~(p))>(c&v))>(x&v))
0
0
0
0
not entailment
(c&((~(p)|(c&p))&~(~((y>(y|y))))))
(x|c)
1
1
0
0
entailment
(v&u)
(((((x>y)>u)>s)|~(c))|u)
1
0
0
0
entailment
(c&((~(p)|(c&p))&~(~((y>(y|y))))))
(((((x>y)>u)>s)|~(c))|u)
0
1
0
0
not entailment