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
~((k|((z>o)>u)))
(((k|((o>o)>(z&p)))|z)>(o|(p|((p>z)&m))))
1
0
0
0
entailment
((p|m)>((z|u)&~((o>z))))
(((k|((o>o)>(z&p)))|z)>(o|(p|((p>z)&m))))
0
0
0
0
not entailment
~((k|((z>o)>u)))
((~(z)>o)|(p>n))
0
1
0
0
not entailment
((~((u|u))&~((((m|k)|p)|(u>m))))|z)
(~(n)>(((u>p)&p)>((p&z)|(p&z))))
1
1
0
0
entailment
(u&~(~((((o>m)|o)&k))))
((n>o)|(u|o))
1
1
0
0
entailment
((~((u|u))&~((((m|k)|p)|(u>m))))|z)
((n>o)|(u|o))
0
1
0
0
not entailment
(u&~(~((((o>m)|o)&k))))
(~(n)>(((u>p)&p)>((p&z)|(p&z))))
0
0
0
0
not entailment
~((((z&z)>(~(((u&p)&p))>o))|(u&p)))
(k>(m|(u>~((n&p)))))
1
1
0
0
entailment
(u&(((n>m)>k)|m))
(~(((m>u)>u))|(o|(u|p)))
1
0
0
0
entailment
~((((z&z)>(~(((u&p)&p))>o))|(u&p)))
(~(((m>u)>u))|(o|(u|p)))
0
1
0
0
not entailment
(u&(((n>m)>k)|m))
(k>(m|(u>~((n&p)))))
0
0
0
0
not entailment
(~((((n&~(p))&~(m))>z))&~(o))
(~(((~((k&m))|z)>m))|(u|(k&o)))
1
1
0
0
entailment
(~((k>n))&(o>k))
((u|(k|p))&((k>k)&(z|(z>k))))
1
0
0
0
entailment
(~((((n&~(p))&~(m))>z))&~(o))
((u|(k|p))&((k>k)&(z|(z>k))))
0
1
0
0
not entailment
(~((k>n))&(o>k))
(~(((~((k&m))|z)>m))|(u|(k&o)))
0
0
0
0
not entailment
(u&~(m))
~(((u&m)&p))
1
0
0
0
entailment
(p&((k&~(k))|(n>~(m))))
(~((p&((z|o)>(p|(p|u)))))>~((m|u)))
1
0
0
0
entailment
(u&~(m))
(~((p&((z|o)>(p|(p|u)))))>~((m|u)))
0
0
0
0
not entailment
(p&((k&~(k))|(n>~(m))))
~(((u&m)&p))
0
1
0
0
not entailment
((~(m)>k)&(~((o>(n&u)))|o))
(u|o)
1
1
1
0
entailment
((p>m)&((m&(z&k))&~(~((o>m)))))
(m|z)
1
1
1
1
entailment
((~(m)>k)&(~((o>(n&u)))|o))
(m|z)
0
1
0
0
not entailment
((p>m)&((m&(z&k))&~(~((o>m)))))
(u|o)
0
1
0
0
not entailment
(u&z)
((z&p)>((p>((z>~(~(m)))>z))>u))
1
0
0
0
entailment
(k&m)
(~(k)>~(~(k)))
1
0
1
1
entailment
(u&z)
(~(k)>~(~(k)))
0
0
0
0
not entailment
(k&m)
((z&p)>((p>((z>~(~(m)))>z))>u))
0
0
0
0
not entailment
((m|m)&(u|(m>n)))
((m&(z>z))&(~(~((k|m)))|(p&n)))
1
0
0
0
entailment
~((((k|k)&((p|z)|~((k|m))))|(p|u)))
(u>~((m>(u>z))))
1
1
1
0
entailment
((m|m)&(u|(m>n)))
(u>~((m>(u>z))))
0
1
0
0
not entailment
~((((k|k)&((p|z)|~((k|m))))|(p|u)))
((m&(z>z))&(~(~((k|m)))|(p&n)))
0
1
0
0
not entailment
~((~((~(k)|u))|(m|o)))
(~(u)>~((m&(o>(n&k)))))
1
1
0
0
entailment
((k>(k&n))&~(~(m)))
~(~(((o|u)>(z|(m|(u&z))))))
1
0
0
0
entailment
~((~((~(k)|u))|(m|o)))
~(~(((o|u)>(z|(m|(u&z))))))
0
0
0
0
not entailment
((k>(k&n))&~(~(m)))
(~(u)>~((m&(o>(n&k)))))
0
0
0
0
not entailment
(~(~(~((z&((u|p)&~(o))))))&m)
~(~(((m|u)|(k>(p>(z&~(o)))))))
1
1
0
0
entailment
(z&(~(((z>n)|u))|o))
(p|z)
1
1
0
0
entailment
(~(~(~((z&((u|p)&~(o))))))&m)
(p|z)
0
1
1
0
not entailment
(z&(~(((z>n)|u))|o))
~(~(((m|u)|(k>(p>(z&~(o)))))))
0
0
0
0
not entailment
~(~(m))
(n|m)
1
1
0
0
entailment
((p&(u&~((z|m))))&k)
(((~((n|p))>~(z))|(n|(k&k)))|(~(z)&u))
1
0
0
0
entailment
~(~(m))
(((~((n|p))>~(z))|(n|(k&k)))|(~(z)&u))
0
0
0
0
not entailment
((p&(u&~((z|m))))&k)
(n|m)
0
1
0
0
not entailment
(n&((k&~(p))>(n&o)))
~(~((n&n)))
1
1
1
1
entailment
~(~(~(~((((m>m)&k)&~((o>m)))))))
~((m&m))
1
1
1
1
entailment
(n&((k&~(p))>(n&o)))
~((m&m))
0
1
0
0
not entailment
~(~(~(~((((m>m)&k)&~((o>m)))))))
~(~((n&n)))
0
1
0
0
not entailment
(m&((n|n)&(p&o)))
(m&~(~(p)))
1
1
1
1
entailment
(~(z)&((u|m)|((m|(z|p))|z)))
~((z&((o|(((m&p)|o)|k))>(k|n))))
1
0
0
0
entailment
(m&((n|n)&(p&o)))
~((z&((o|(((m&p)|o)|k))>(k|n))))
0
0
0
0
not entailment
(~(z)&((u|m)|((m|(z|p))|z)))
(m&~(~(p)))
0
1
1
1
not entailment
(((h|c)|i)&(m|m))
(x|(w>m))
1
1
0
0
entailment
(~(~(~((~(~((x>c)))&i))))>((f>c)&i))
(~((x|i))>f)
1
1
1
0
entailment
(((h|c)|i)&(m|m))
(~((x|i))>f)
0
1
0
0
not entailment
(~(~(~((~(~((x>c)))&i))))>((f>c)&i))
(x|(w>m))
0
1
0
0
not entailment
((f|i)&~((c>f)))
~(~((((i>c)&(h>i))&i)))
1
0
0
0
entailment
((~((x>(m>(f>w))))&(w|i))&m)
((m&(i|(x&h)))&~(~((x|(f>h)))))
1
0
0
0
entailment
((f|i)&~((c>f)))
((m&(i|(x&h)))&~(~((x|(f>h)))))
0
0
0
0
not entailment
((~((x>(m>(f>w))))&(w|i))&m)
~(~((((i>c)&(h>i))&i)))
0
1
0
0
not entailment
~((~((i>~((m>i))))>~(x)))
(i|i)
1
1
1
1
entailment
(~(x)&c)
(((((~((w|c))|(c|h))>f)>i)&~((c|w)))>m)
1
0
0
0
entailment
~((~((i>~((m>i))))>~(x)))
(((((~((w|c))|(c|h))>f)>i)&~((c|w)))>m)
0
0
0
0
not entailment
(~(x)&c)
(i|i)
0
1
0
0
not entailment
~(~(m))
(~(((~(x)&c)|x))>(~(f)|m))
1
0
0
0
entailment
(((x>i)|h)&(h&w))
(((x>i)|w)&~((((~(i)>f)&~((i>f)))&f)))
1
0
0
0
entailment
~(~(m))
(((x>i)|w)&~((((~(i)>f)&~((i>f)))&f)))
0
0
0
0
not entailment
(((x>i)|h)&(h&w))
(~(((~(x)&c)|x))>(~(f)|m))
0
0
0
0
not entailment
(m&~(~(~((~(((w>~(c))>x))>(c|f))))))
((f>~(x))|(~((x>(c&x)))&i))
1
1
0
0
entailment
(~(((~(~(~((h&h))))>(f>w))|m))&c)
(c|((h>m)>(~(~((h>c)))>f)))
1
1
1
0
entailment
(m&~(~(~((~(((w>~(c))>x))>(c|f))))))
(c|((h>m)>(~(~((h>c)))>f)))
0
1
0
0
not entailment
(~(((~(~(~((h&h))))>(f>w))|m))&c)
((f>~(x))|(~((x>(c&x)))&i))
0
1
0
0
not entailment
((m&i)&~((h|(~(f)|~(~(c))))))
((x|x)>(((x>i)&m)|w))
1
1
0
0
entailment
(c&~((x&h)))
~((c>(x&(~((((h>w)>c)|i))&w))))
1
0
0
0
entailment
((m&i)&~((h|(~(f)|~(~(c))))))
~((c>(x&(~((((h>w)>c)|i))&w))))
0
1
0
0
not entailment
(c&~((x&h)))
((x|x)>(((x>i)&m)|w))
0
0
0
0
not entailment
~((~((~(h)|f))>c))
(i>((c&i)>f))
1
1
0
0
entailment
(w&w)
((~((~(m)&m))|(w&(x|w)))&(((w|i)>c)>w))
1
0
0
0
entailment
~((~((~(h)|f))>c))
((~((~(m)&m))|(w&(x|w)))&(((w|i)>c)>w))
0
0
0
0
not entailment
(w&w)
(i>((c&i)>f))
0
0
0
0
not entailment
~((~(c)>(x>m)))
(~(w)>(m>((~(~(i))|w)|(m>(c>x)))))
1
0
0
0
entailment
~(~(~(i)))
((m>(x>(x|x)))>((i&h)>~(x)))
1
0
0
0
entailment
~((~(c)>(x>m)))
((m>(x>(x|x)))>((i&h)>~(x)))
0
0
0
0
not entailment
~(~(~(i)))
(~(w)>(m>((~(~(i))|w)|(m>(c>x)))))
0
0
0
0
not entailment
((i&h)&(f>~((x>x))))
((((x|x)|~((f|(w&x))))|m)>i)
1
0
0
0
entailment
(m|m)
(~(m)>(m&(i>(m|c))))
1
0
0
0
entailment
((i&h)&(f>~((x>x))))
(~(m)>(m&(i>(m|c))))
0
1
0
0
not entailment
(m|m)
((((x|x)|~((f|(w&x))))|m)>i)
0
0
0
0
not entailment
~(((f&f)|(m|(((c|(~(i)>c))>x)&i))))
((f>w)|(((w>w)&c)>~(~((m&m)))))
1
1
0
0
entailment
(f&(((~(h)|f)|(i>w))>~(i)))
((h&((h|m)>(c>m)))|f)
1
1
0
0
entailment
~(((f&f)|(m|(((c|(~(i)>c))>x)&i))))
((h&((h|m)>(c>m)))|f)
0
1
0
0
not entailment
(f&(((~(h)|f)|(i>w))>~(i)))
((f>w)|(((w>w)&c)>~(~((m&m)))))
0
0
0
0
not entailment
~((((i&x)>(i>f))&(h&(w>m))))
((~((f&(w|h)))|(~(h)&f))|w)
1
1
1
0
entailment
(~(((c>w)|(f>x)))&(~(f)|(i&f)))
~(~(~(~((((~(~(c))&(m>x))|m)|h)))))
1
0
0
0
entailment
~((((i&x)>(i>f))&(h&(w>m))))
~(~(~(~((((~(~(c))&(m>x))|m)|h)))))
0
0
0
0
not entailment
(~(((c>w)|(f>x)))&(~(f)|(i&f)))
((~((f&(w|h)))|(~(h)&f))|w)
0
1
0
0
not entailment
~((((c&m)>~((x>f)))|f))
((~((m>x))|(~(w)>(i>w)))|(~(w)>(i>f)))
1
0
0
0
entailment
((~(w)&((f>(~(((w&h)&i))|c))>x))&h)
((((h|x)&(i|~(i)))&f)|~(w))
1
1
1
0
entailment
~((((c&m)>~((x>f)))|f))
((((h|x)&(i|~(i)))&f)|~(w))
0
0
0
0
not entailment
((~(w)&((f>(~(((w&h)&i))|c))>x))&h)
((~((m>x))|(~(w)>(i>w)))|(~(w)>(i>f)))
0
0
0
0
not entailment
((w&~(c))&w)
((((w|c)|f)|w)|m)
1
0
0
0
entailment