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
((e&e)&((e>(e>(e|(e&e))))>((e>e)|(e|e))))
(((e>(e>e))>~((e>(~(e)>e))))|~(e))
0
1
1
1
not entailment
(~(e)|~(((e|(e>e))|((e&e)&(e|e)))))
(e|e)
0
1
1
1
not entailment
(~(~(e))>~((e&e)))
~((e&e))
1
1
1
1
entailment
(~(~(e))&((e&e)>e))
(~((~((e&e))&(e>e)))|(~(e)&e))
1
0
1
1
entailment
(~(~(e))>~((e&e)))
(~((~((e&e))&(e>e)))|(~(e)&e))
0
0
1
0
not entailment
(~(~(e))&((e&e)>e))
~((e&e))
0
1
1
1
not entailment
~((~((v|m))|(r|u)))
((a|u)>a)
1
1
0
0
entailment
~(i)
(a|((i>v)|~(((((a&m)&i)&i)>(u>(v&v))))))
1
0
0
0
entailment
~((~((v|m))|(r|u)))
(a|((i>v)|~(((((a&m)&i)&i)>(u>(v&v))))))
0
0
0
0
not entailment
~(i)
((a|u)>a)
0
0
0
0
not entailment
~(~(~(((v>v)&(r>(v&i))))))
(m|(~(r)>(i|(r&r))))
1
1
0
0
entailment
~((i|m))
(~(~(((i>(m|u))>i)))>~(~((i>u))))
1
0
0
0
entailment
~(~(~(((v>v)&(r>(v&i))))))
(~(~(((i>(m|u))>i)))>~(~((i>u))))
0
0
0
0
not entailment
~((i|m))
(m|(~(r)>(i|(r&r))))
0
0
0
0
not entailment
(((i|m)&(v>(v&(i&v))))&a)
(((u&(v&m))|(u&((r|i)&m)))>(r|i))
1
0
0
0
entailment
((u|m)>(u&(u&a)))
((m&(v&i))>(r>u))
1
1
0
0
entailment
(((i|m)&(v>(v&(i&v))))&a)
((m&(v&i))>(r>u))
0
1
0
0
not entailment
((u|m)>(u&(u&a)))
(((u&(v&m))|(u&((r|i)&m)))>(r|i))
0
0
0
0
not entailment
((v>r)&~((r|((m|r)|a))))
(~(~(~((m>v))))>~(((u&u)&(u&i))))
1
0
0
0
entailment
(u&((i|i)&(r|((a>a)&r))))
(((i|v)&i)|(u&(m>(i&((i&a)&u)))))
1
0
0
0
entailment
((v>r)&~((r|((m|r)|a))))
(((i|v)&i)|(u&(m>(i&((i&a)&u)))))
0
0
0
0
not entailment
(u&((i|i)&(r|((a>a)&r))))
(~(~(~((m>v))))>~(((u&u)&(u&i))))
0
0
0
0
not entailment
((m&(v&(~((u|r))|v)))&(r&i))
((r&((r>r)&a))>i)
1
1
0
0
entailment
(~(((((~(a)&i)|i)|r)|r))|~(((v>i)|m)))
(~((i&u))|a)
1
1
0
0
entailment
((m&(v&(~((u|r))|v)))&(r&i))
(~((i&u))|a)
0
1
0
0
not entailment
(~(((((~(a)&i)|i)|r)|r))|~(((v>i)|m)))
((r&((r>r)&a))>i)
0
1
1
0
not entailment
~((((v>~(r))&~((u|m)))>(v>m)))
(((v|u)>a)>((a&(v&i))|v))
1
1
0
0
entailment
(i&(a>((m>v)|(a&u))))
((~((m|(r&i)))|i)>i)
1
1
0
0
entailment
~((((v>~(r))&~((u|m)))>(v>m)))
((~((m|(r&i)))|i)>i)
0
1
0
0
not entailment
(i&(a>((m>v)|(a&u))))
(((v|u)>a)>((a&(v&i))|v))
0
0
1
1
not entailment
~(u)
~(~((v|~((~((u>~(m)))&(v|u))))))
1
0
0
0
entailment
~((((~(((v&u)>r))&~((u&r)))|r)|(i|v)))
(~(i)&(i>m))
1
1
0
0
entailment
~(u)
(~(i)&(i>m))
0
0
0
0
not entailment
~((((~(((v&u)>r))&~((u&r)))|r)|(i|v)))
~(~((v|~((~((u>~(m)))&(v|u))))))
0
1
0
0
not entailment
(u&v)
((u|a)|(~((~(u)&a))&(u|u)))
1
0
0
0
entailment
((r>v)&~((v>(i&i))))
~(((v&i)&~(((i|v)>(~((v&(u|m)))|m)))))
1
0
0
0
entailment
(u&v)
~(((v&i)&~(((i|v)>(~((v&(u|m)))|m)))))
0
0
0
0
not entailment
((r>v)&~((v>(i&i))))
((u|a)|(~((~(u)&a))&(u|u)))
0
0
0
0
not entailment
~(~(~(((r|(a>~(r)))&m))))
(((r>a)>v)|((u&~(i))|((~(a)&m)>r)))
1
0
0
0
entailment
(i&m)
((v>~((v&(~((r|(v|u)))>i))))|m)
1
0
0
0
entailment
~(~(~(((r|(a>~(r)))&m))))
((v>~((v&(~((r|(v|u)))>i))))|m)
0
0
0
0
not entailment
(i&m)
(((r>a)>v)|((u&~(i))|((~(a)&m)>r)))
0
0
0
0
not entailment
~(((m|a)|v))
((m&a)|(v>r))
1
1
0
0
entailment
(((r>r)&r)|m)
((a|(v&r))|(((m>u)>(u>(u>r)))|(m|~(u))))
1
0
0
0
entailment
~(((m|a)|v))
((a|(v&r))|(((m>u)>(u>(u>r)))|(m|~(u))))
0
0
0
0
not entailment
(((r>r)&r)|m)
((m&a)|(v>r))
0
1
0
0
not entailment
((r&(m|m))|(r&r))
((((v&(i>m))&(~(i)>v))&m)>r)
1
0
0
0
entailment
((~(((u>a)&i))|v)&~(((u|~(i))|(r|u))))
~(~((~((r&(a&v)))|~(u))))
1
1
1
0
entailment
((r&(m|m))|(r&r))
~(~((~((r&(a&v)))|~(u))))
0
0
0
0
not entailment
((~(((u>a)&i))|v)&~(((u|~(i))|(r|u))))
((((v&(i>m))&(~(i)>v))&m)>r)
0
1
0
0
not entailment
~(~(((~((o>o))&f)|f)))
((i|~(o))>((i|o)>f))
1
1
0
0
entailment
(((~(i)|i)&~(o))&(o|i))
((f|i)&((~(o)|o)>(o>((i|i)|(f>(o&i))))))
1
0
0
0
entailment
~(~(((~((o>o))&f)|f)))
((f|i)&((~(o)|o)>(o>((i|i)|(f>(o&i))))))
0
0
0
0
not entailment
(((~(i)|i)&~(o))&(o|i))
((i|~(o))>((i|o)>f))
0
1
0
0
not entailment
~((~(~(~(~((i&f)))))>(f>o)))
((o|o)|f)
1
1
1
0
entailment
(o|((~(i)|f)&(i>o)))
(~(i)|o)
1
1
1
1
entailment
~((~(~(~(~((i&f)))))>(f>o)))
(~(i)|o)
0
1
1
0
not entailment
(o|((~(i)|f)&(i>o)))
((o|o)|f)
0
1
1
1
not entailment
(f&~(((((i&f)&i)|(o|~(f)))|(o|i))))
~(o)
1
1
1
1
entailment
((i&i)|i)
((i&(f>f))|~(f))
1
0
0
0
entailment
(f&~(((((i&f)&i)|(o|~(f)))|(o|i))))
((i&(f>f))|~(f))
0
1
1
0
not entailment
((i&i)|i)
~(o)
0
1
0
0
not entailment
~(~(o))
((i|f)|o)
1
1
0
0
entailment
~(~(o))
(f>i)
0
1
0
0
not entailment
~(f)
((i|f)|o)
0
0
0
0
not entailment
(((f>(i|f))|o)>o)
(~(~(f))|((~(o)>(o&i))|(f&f)))
1
0
1
0
entailment
~(~((((f|i)&i)|(i|~((i>i))))))
(f>(((o&i)&~(i))|i))
1
1
0
0
entailment
(((f>(i|f))|o)>o)
(f>(((o&i)&~(i))|i))
0
0
1
0
not entailment
~(~((((f|i)&i)|(i|~((i>i))))))
(~(~(f))|((~(o)>(o&i))|(f&f)))
0
1
0
0
not entailment
((i|(f&o))&f)
((f>(~(o)|i))>((((i>i)>o)&(o|(o&f)))>i))
1
0
1
0
entailment
~(((o>f)&(i>i)))
((i&o)|o)
1
1
1
1
entailment
((i|(f&o))&f)
((i&o)|o)
0
1
1
1
not entailment
~(((o>f)&(i>i)))
((f>(~(o)|i))>((((i>i)>o)&(o|(o&f)))>i))
0
0
1
0
not entailment
(f|((((f|o)&o)|f)&(f>((i|f)&i))))
((f|o)|o)
1
1
1
1
entailment
(~(f)|(~((i>i))&((o|o)|o)))
(((i>f)&i)>(((f>o)&o)&((~(i)>o)&o)))
1
0
1
1
entailment
(f|((((f|o)&o)|f)&(f>((i|f)&i))))
(((i>f)&i)>(((f>o)&o)&((~(i)>o)&o)))
0
0
1
0
not entailment
(~(f)|(~((i>i))&((o|o)|o)))
((f|o)|o)
0
1
1
0
not entailment
((f&(f>f))&o)
((((i&i)>f)>(o|o))&f)
1
0
0
0
entailment
~((((i>~((f&o)))>i)&i))
~((i&o))
1
1
1
1
entailment
((f&(f>f))&o)
~((i&o))
0
1
0
0
not entailment
~((((i>~((f&o)))>i)&i))
((((i&i)>f)>(o|o))&f)
0
1
1
0
not entailment
(~((o&i))&((i>f)&f))
(((((o|i)|f)|i)>f)|~((i&~((i>f)))))
1
0
1
0
entailment
~((((i&o)&((f&~(o))|i))>~((o&i))))
(o&((f&f)|(((i&o)>i)|i)))
1
1
1
0
entailment
(~((o&i))&((i>f)&f))
(o&((f&f)|(((i&o)>i)|i)))
0
0
1
0
not entailment
~((((i&o)&((f&~(o))|i))>~((o&i))))
(((((o|i)|f)|i)>f)|~((i&~((i>f)))))
0
1
1
0
not entailment
~((o&i))
(~(~((o&(f|i))))>f)
1
0
0
0
entailment
(((i|i)>i)&o)
~(~(((((f>o)>(f|o))|o)|i)))
1
0
0
0
entailment
~((o&i))
~(~(((((f>o)>(f|o))|o)|i)))
0
0
0
0
not entailment
(((i|i)>i)&o)
(~(~((o&(f|i))))>f)
0
0
0
0
not entailment
~(((i|~((o|i)))&((~(f)>o)>((i>f)>f))))
((i&o)>(o&f))
1
1
1
0
entailment
(i|((~(f)|(i|i))&f))
((o>(o&i))|(((((i|i)>f)|~(o))&o)&(o&i)))
1
0
0
0
entailment
~(((i|~((o|i)))&((~(f)>o)>((i>f)>f))))
((o>(o&i))|(((((i|i)>f)|~(o))&o)&(o&i)))
0
1
1
0
not entailment
(i|((~(f)|(i|i))&f))
((i&o)>(o&f))
0
1
0
0
not entailment
(f&s)
(((f&j)|~(s))>j)
1
0
0
0
entailment
((i&(~((i&(i&f)))>((i>(h&j))&f)))&f)
(i|h)
1
1
1
1
entailment
(f&s)
(i|h)
0
1
0
0
not entailment
((i&(~((i&(i&f)))>((i>(h&j))&f)))&f)
(((f&j)|~(s))>j)
0
1
0
0
not entailment
~(((~(h)>~(j))|~((f&(s>s)))))
((f|i)&(s|f))
1
1
0
0
entailment
~(~(i))
((i|h)&(i|((j>~(f))|(h>s))))
1
0
0
0
entailment
~(((~(h)>~(j))|~((f&(s>s)))))
((i|h)&(i|((j>~(f))|(h>s))))
0
1
0
0
not entailment