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
((p&~(((k>v)>~((m>(h&h))))))|(k&l))
(l|p)
1
1
1
1
entailment
~(((((m|v)>(~((h|k))&h))|l)|v))
(l|p)
0
1
0
0
not entailment
((p&~(((k>v)>~((m>(h&h))))))|(k&l))
(((k|h)>~(l))&(l>k))
0
1
1
0
not entailment
((v&(p&(p|k)))|(k&h))
(p|((h|p)|(p&(v&h))))
1
1
1
1
entailment
~(((~((p|k))|(((h&p)>(l&m))>m))>v))
((m&~(h))|(v>(v>p)))
1
1
1
0
entailment
((v&(p&(p|k)))|(k&h))
((m&~(h))|(v>(v>p)))
0
1
0
0
not entailment
~(((~((p|k))|(((h&p)>(l&m))>m))>v))
(p|((h|p)|(p&(v&h))))
0
1
1
0
not entailment
(((k>k)|~(k))&h)
(~(v)|~(~(h)))
1
1
0
0
entailment
(~(((h|p)>h))&m)
(p|~((m|v)))
1
1
0
0
entailment
(((k>k)|~(k))&h)
(p|~((m|v)))
0
1
0
0
not entailment
(~(((h|p)>h))&m)
(~(v)|~(~(h)))
0
1
0
0
not entailment
(~(h)&p)
((h|h)|((v>((l&h)&(m&p)))|p))
1
0
0
0
entailment
~(~((l>h)))
(l>h)
1
1
1
1
entailment
(~(h)&p)
(l>h)
0
1
0
0
not entailment
~(~((l>h)))
((h|h)|((v>((l&h)&(m&p)))|p))
0
0
0
0
not entailment
((p&k)&(l&((p>v)|~((l|v)))))
((l&l)|(h&v))
1
1
0
0
entailment
((l>(m|k))&h)
((p>(m|h))|((k>h)&(l&m)))
1
0
0
0
entailment
((p&k)&(l&((p>v)|~((l|v)))))
((p>(m|h))|((k>h)&(l&m)))
0
1
0
0
not entailment
((l>(m|k))&h)
((l&l)|(h&v))
0
1
0
0
not entailment
~((((k&h)|(((p&l)>h)|l))&~(p)))
(m|p)
1
1
0
0
entailment
(k&(v>p))
~((~((((h>h)>v)|(v|k)))&((v>v)&m)))
1
0
0
0
entailment
~((((k&h)|(((p&l)>h)|l))&~(p)))
~((~((((h>h)>v)|(v|k)))&((v>v)&m)))
0
0
0
0
not entailment
(k&(v>p))
(m|p)
0
1
0
0
not entailment
((h&(l&l))&(v|v))
(~((p|h))>~((v>p)))
1
0
0
0
entailment
((~(p)&l)&(p|(k&m)))
~(~((k&k)))
1
1
1
1
entailment
((h&(l&l))&(v|v))
~(~((k&k)))
0
1
0
0
not entailment
((~(p)&l)&(p|(k&m)))
(~((p|h))>~((v>p)))
0
1
0
0
not entailment
(l&(m|m))
(~(v)|m)
1
1
0
0
entailment
((~(l)&(k|h))&v)
(v|~(~(~(((l|(v>k))|(~(v)>(p|p)))))))
1
0
0
0
entailment
(l&(m|m))
(v|~(~(~(((l|(v>k))|(~(v)>(p|p)))))))
0
0
0
0
not entailment
((~(l)&(k|h))&v)
(~(v)|m)
0
1
0
0
not entailment
((k>(p>p))>((v>k)&(v&(l|l))))
(((l>~(v))&(((k>(p>m))&(k|m))|(p&h)))>l)
1
0
0
0
entailment
~((l|p))
(~((m|(p|k)))|~(l))
1
0
0
0
entailment
((k>(p>p))>((v>k)&(v&(l|l))))
(~((m|(p|k)))|~(l))
0
1
0
0
not entailment
~((l|p))
(((l>~(v))&(((k>(p>m))&(k|m))|(p&h)))>l)
0
0
0
0
not entailment
(m&l)
(l|(h|(l&m)))
1
0
0
0
entailment
~((h|k))
~(((k|k)&m))
1
0
0
0
entailment
(m&l)
~(((k|k)&m))
0
0
0
0
not entailment
~((h|k))
(l|(h|(l&m)))
0
0
0
0
not entailment
(~(~(f))&~(((p|t)>(f&(p|n)))))
((p&~((f|t)))>~((((p>f)|p)|t)))
1
1
1
0
entailment
(n&p)
~((f&~(p)))
1
0
0
0
entailment
(~(~(f))&~(((p|t)>(f&(p|n)))))
~((f&~(p)))
0
1
1
1
not entailment
(n&p)
((p&~((f|t)))>~((((p>f)|p)|t)))
0
0
0
0
not entailment
(((f&p)&(t|t))&t)
(t&(n>t))
1
1
0
0
entailment
~(((f&n)>((t&n)&(p|p))))
(~(n)>~(f))
1
1
1
0
entailment
(((f&p)&(t|t))&t)
(~(n)>~(f))
0
1
0
0
not entailment
~(((f&n)>((t&n)&(p|p))))
(t&(n>t))
0
1
1
0
not entailment
((f&((p&(f>p))|(f&(t|(f&(t|t))))))&~(p))
(((~(p)|(n>t))|n)>(f|t))
1
1
0
0
entailment
(p&(n|(t|t)))
(~((p&f))>p)
1
1
0
0
entailment
((f&((p&(f>p))|(f&(t|(f&(t|t))))))&~(p))
(~((p&f))>p)
0
1
1
1
not entailment
(p&(n|(t|t)))
(((~(p)|(n>t))|n)>(f|t))
0
0
0
0
not entailment
(p&((n&t)&(p>p)))
(n|n)
1
1
1
1
entailment
~(~(~(f)))
(((p&f)&(t|(n>p)))>(p>~((~(f)>f))))
1
0
0
0
entailment
(p&((n&t)&(p>p)))
(((p&f)&(t|(n>p)))>(p>~((~(f)>f))))
0
0
0
0
not entailment
~(~(~(f)))
(n|n)
0
1
0
0
not entailment
((f&((t>n)|p))&(p&(f&n)))
((f|~(~(n)))|(p>t))
1
1
1
0
entailment
~(((p&(t|p))&t))
((p>(t|(f&t)))>((p|t)>~((p&n))))
1
0
0
0
entailment
((f&((t>n)|p))&(p&(f&n)))
((p>(t|(f&t)))>((p|t)>~((p&n))))
0
0
1
0
not entailment
~(((p&(t|p))&t))
((f|~(~(n)))|(p>t))
0
0
0
0
not entailment
((t&f)|((t>p)&p))
((~(~(~(~((~(f)&n)))))|(p|f))|(f&n))
1
0
0
0
entailment
((n>((p>f)&(t|t)))>~(t))
(n>(~((f&t))|p))
1
1
1
0
entailment
((t&f)|((t>p)&p))
(n>(~((f&t))|p))
0
1
0
0
not entailment
((n>((p>f)&(t|t)))>~(t))
((~(~(~(~((~(f)&n)))))|(p|f))|(f&n))
0
0
1
0
not entailment
(p&(n&t))
(t&(p|~(((n|~(n))&f))))
1
0
0
0
entailment
(p&f)
(~((((n|f)|(f|t))&(f&f)))>f)
1
0
0
0
entailment
(p&(n&t))
(~((((n|f)|(f|t))&(f&f)))>f)
0
0
0
0
not entailment
(p&f)
(t&(p|~(((n|~(n))&f))))
0
0
0
0
not entailment
~(((p&p)>((t&t)|(f|n))))
(n|((t|(p|t))|f))
1
1
1
0
entailment
((f|p)>(((n|t)&f)&f))
(((p&(n&(f>~((p&t)))))>p)&(n|(p>t)))
1
0
1
0
entailment
~(((p&p)>((t&t)|(f|n))))
(((p&(n&(f>~((p&t)))))>p)&(n|(p>t)))
0
0
1
0
not entailment
((f|p)>(((n|t)&f)&f))
(n|((t|(p|t))|f))
0
1
1
0
not entailment
(~(((n&n)|(n&(n|f))))&~(((f&p)>~(f))))
((p&n)|f)
1
1
1
0
entailment
~(((~((t>n))&(f>t))|(p|n)))
(t>n)
1
1
1
1
entailment
(~(((n&n)|(n&(n|f))))&~(((f&p)>~(f))))
(t>n)
0
1
0
0
not entailment
~(((~((t>n))&(f>t))|(p|n)))
((p&n)|f)
0
1
1
0
not entailment
(~((t>((p&t)|(n&p))))|(t|p))
(~((f>p))>((f&p)|~(~((~(t)>p)))))
1
0
0
0
entailment
(n&(~(~(t))>(p>f)))
((((n&p)>(p&f))&p)>(n|n))
1
0
1
0
entailment
(~((t>((p&t)|(n&p))))|(t|p))
((((n&p)>(p&f))&p)>(n|n))
0
1
0
0
not entailment
(n&(~(~(t))>(p>f)))
(~((f>p))>((f&p)|~(~((~(t)>p)))))
0
0
1
0
not entailment
((t|p)&~(~((n&p))))
((p&(~(t)>~(((p>~(t))&(n|f)))))|p)
1
0
0
0
entailment
~((p|(t|n)))
((~((f|t))|f)&~((((p&t)>~((p&f)))&t)))
1
0
0
0
entailment
((t|p)&~(~((n&p))))
((~((f|t))|f)&~((((p&t)>~((p&f)))&t)))
0
0
0
0
not entailment
~((p|(t|n)))
((p&(~(t)>~(((p>~(t))&(n|f)))))|p)
0
0
0
0
not entailment
~(((p|(((f>f)&n)&f))>~((p>p))))
((((t>n)&n)|p)|(n&f))
1
1
0
0
entailment
(~((t>f))&t)
((f&p)>(~((n>~(t)))|(n|t)))
1
0
0
0
entailment
~(((p|(((f>f)&n)&f))>~((p>p))))
((f&p)>(~((n>~(t)))|(n|t)))
0
1
0
0
not entailment
(~((t>f))&t)
((((t>n)&n)|p)|(n&f))
0
0
0
0
not entailment
((t&f)&((n&f)|~(~((n&f)))))
(((f&n)|p)|((t&(n>p))>p))
1
1
0
0
entailment
(~(((f&(t&t))|p))&~(f))
~(f)
1
1
1
1
entailment
((t&f)&((n&f)|~(~((n&f)))))
~(f)
0
1
1
0
not entailment
(~(((f&(t&t))|p))&~(f))
(((f&n)|p)|((t&(n>p))>p))
0
1
0
0
not entailment
(~(p)>(p&((t|((t&p)>n))>f)))
(~(f)|((n&n)>p))
1
1
1
0
entailment
~(p)
(t>(p>n))
1
0
0
0
entailment
(~(p)>(p&((t|((t&p)>n))>f)))
(t>(p>n))
0
1
1
0
not entailment
~(p)
(~(f)|((n&n)>p))
0
0
0
0
not entailment
(j&n)
~(~(((~(d)&~((j&(~((n>x))|x))))>j)))
1
0
0
0
entailment
~((x>~(((n>j)>(~(x)&j)))))
(((d|x)|(((x>j)|x)>~(~((j&n)))))>(j>x))
1
0
0
0
entailment
(j&n)
(((d|x)|(((x>j)|x)>~(~((j&n)))))>(j>x))
0
0
0
0
not entailment
~((x>~(((n>j)>(~(x)&j)))))
~(~(((~(d)&~((j&(~((n>x))|x))))>j)))
0
0
0
0
not entailment
(((d|d)>x)&(~((j|j))&x))
((~(x)|(n>j))>~(n))
1
1
0
0
entailment