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
(z&~(m))
((((m>z)>w)>(p|(p|z)))|m)
1
0
0
0
entailment
~(((p|p)|(((p&m)>p)>(z|~((u&(z>u)))))))
((z>w)&((z>b)>((w>(u|u))|(m>w))))
1
1
0
0
entailment
(z&~(m))
((z>w)&((z>b)>((w>(u|u))|(m>w))))
0
0
0
0
not entailment
~(((p|p)|(((p&m)>p)>(z|~((u&(z>u)))))))
((((m>z)>w)>(p|(p|z)))|m)
0
1
0
0
not entailment
(((w&(b&b))|b)&(w&u))
((~(((~((b|u))&z)>u))&m)>~((z&p)))
1
0
0
0
entailment
(~(((p>z)>(z>u)))&w)
(u>(m|(p&((((m&u)&p)&p)>(z>m)))))
1
0
0
0
entailment
(((w&(b&b))|b)&(w&u))
(u>(m|(p&((((m&u)&p)&p)>(z>m)))))
0
0
0
0
not entailment
(~(((p>z)>(z>u)))&w)
((~(((~((b|u))&z)>u))&m)>~((z&p)))
0
0
0
0
not entailment
(w&u)
(~((((((p|w)&z)>m)>m)>(u|(p&u))))|(m>w))
1
0
0
0
entailment
(p&(u|~(p)))
~(~(((m&z)|((p|z)|p))))
1
0
0
0
entailment
(w&u)
~(~(((m&z)|((p|z)|p))))
0
0
0
0
not entailment
(p&(u|~(p)))
(~((((((p|w)&z)>m)>m)>(u|(p&u))))|(m>w))
0
0
0
0
not entailment
(~(((u&p)&p))>~((z>(p|~(p)))))
((~(((w|p)|u))|p)>(p&p))
1
1
0
0
entailment
~((u|(u|p)))
(~((~(z)>(((p>m)&m)&(~(m)>p))))>(p>w))
1
0
0
0
entailment
(~(((u&p)&p))>~((z>(p|~(p)))))
(~((~(z)>(((p>m)&m)&(~(m)>p))))>(p>w))
0
0
0
0
not entailment
~((u|(u|p)))
((~(((w|p)|u))|p)>(p&p))
0
0
0
0
not entailment
(w&b)
((((p&u)|p)>b)&((b&w)&~(~((~(u)>b)))))
1
0
0
0
entailment
(p&(p&z))
((z|m)&(b|(~(p)>(u|m))))
1
0
0
0
entailment
(w&b)
((z|m)&(b|(~(p)>(u|m))))
0
0
0
0
not entailment
(p&(p&z))
((((p&u)|p)>b)&((b&w)&~(~((~(u)>b)))))
0
0
0
0
not entailment
(((p>b)>w)&b)
((p&(b|((z|b)>u)))|w)
1
0
0
0
entailment
~(((w|(b|~(z)))|p))
(~(~(~((((z|w)>b)|b))))|u)
1
0
0
0
entailment
(((p>b)>w)&b)
(~(~(~((((z|w)>b)|b))))|u)
0
0
0
0
not entailment
~(((w|(b|~(z)))|p))
((p&(b|((z|b)>u)))|w)
0
1
0
0
not entailment
(u&(b|(~((z|(u&z)))>w)))
(z|((~(w)|~(p))>(p>u)))
1
1
0
0
entailment
((z|p)&~((m|(b|u))))
~(~(((m|(b&(p|m)))>~((p|m)))))
1
0
1
0
entailment
(u&(b|(~((z|(u&z)))>w)))
~(~(((m|(b&(p|m)))>~((p|m)))))
0
0
0
0
not entailment
((z|p)&~((m|(b|u))))
(z|((~(w)|~(p))>(p>u)))
0
0
0
0
not entailment
(u&(((p&u)&(p>m))|((m&u)>p)))
((~((u&b))&w)|(z|u))
1
1
0
0
entailment
((~(p)|~(p))&((~(z)&u)|b))
((~(w)&u)>(p>(p&~(~((m>b))))))
1
0
0
0
entailment
(u&(((p&u)&(p>m))|((m&u)>p)))
((~(w)&u)>(p>(p&~(~((m>b))))))
0
0
0
0
not entailment
((~(p)|~(p))&((~(z)&u)|b))
((~((u&b))&w)|(z|u))
0
1
0
0
not entailment
(m&((w&((p|m)&w))&(z|m)))
((m|z)&(m|(w&~(p))))
1
1
1
0
entailment
((m|((m&w)>u))&(u&w))
((m&w)>(p>u))
1
1
0
0
entailment
(m&((w&((p|m)&w))&(z|m)))
((m&w)>(p>u))
0
1
0
0
not entailment
((m|((m&w)>u))&(u&w))
((m|z)&(m|(w&~(p))))
0
1
0
0
not entailment
((w|b)&((~(~(w))&((w|(p|(p>m)))>u))&p))
(((p>m)|(((p&z)>(z|b))|w))&w)
1
1
0
0
entailment
~(~(m))
~(~(m))
1
1
1
1
entailment
((w|b)&((~(~(w))&((w|(p|(p>m)))>u))&p))
~(~(m))
0
1
1
0
not entailment
~(~(m))
(((p>m)|(((p&z)>(z|b))|w))&w)
0
0
0
0
not entailment
((m&w)&u)
((((~(b)>(w&b))>(p>m))|(m&w))|(p&(u&m)))
1
0
0
0
entailment
(~(u)&p)
(~((w&~(b)))|((m>(z&b))|(p&p)))
1
0
0
0
entailment
((m&w)&u)
(~((w&~(b)))|((m>(z&b))|(p&p)))
0
0
0
0
not entailment
(~(u)&p)
((((~(b)>(w&b))>(p>m))|(m&w))|(p&(u&m)))
0
0
0
0
not entailment
~((p&((w|((((w>w)>w)>m)|z))|(b&m))))
(~((p>~(b)))>(b>u))
1
1
0
0
entailment
(z>(z&u))
((~(w)|(w&u))|(z>u))
1
0
0
0
entailment
~((p&((w|((((w>w)>w)>m)|z))|(b&m))))
((~(w)|(w&u))|(z>u))
0
1
0
0
not entailment
(z>(z&u))
(~((p>~(b)))>(b>u))
0
0
0
0
not entailment
((m|b)&(m&(z|((m&w)&~(w)))))
((w&~(m))|(m|(z|w)))
1
1
1
0
entailment
(~((((b|z)|u)&(z|(u|z))))&b)
~((~(b)|~(((b|(b>m))|(z>p)))))
1
0
0
0
entailment
((m|b)&(m&(z|((m&w)&~(w)))))
~((~(b)|~(((b|(b>m))|(z>p)))))
0
0
0
0
not entailment
(~((((b|z)|u)&(z|(u|z))))&b)
((w&~(m))|(m|(z|w)))
0
1
0
0
not entailment
~(~(~((~((m|(m|z)))>p))))
((m|z)>b)
1
1
0
0
entailment
~((z>b))
((w|m)|z)
1
1
0
0
entailment
~(~(~((~((m|(m|z)))>p))))
((w|m)|z)
0
1
0
0
not entailment
~((z>b))
((m|z)>b)
0
1
0
0
not entailment
((~((c|c))|h)&(c&(((h|h)>(c|~(s)))>h)))
(c|(s>c))
1
1
1
0
entailment
(s|s)
(((c&c)>s)&((((s|h)&s)|c)&(h|s)))
1
0
0
0
entailment
((~((c|c))|h)&(c&(((h|h)>(c|~(s)))>h)))
(((c&c)>s)&((((s|h)&s)|c)&(h|s)))
0
1
1
1
not entailment
(s|s)
(c|(s>c))
0
0
0
0
not entailment
((c>s)>c)
(s|~(~(c)))
1
0
1
0
entailment
((h>c)>h)
~(~(~(~((s>h)))))
1
0
0
0
entailment
((c>s)>c)
~(~(~(~((s>h)))))
0
0
0
0
not entailment
((h>c)>h)
(s|~(~(c)))
0
0
0
0
not entailment
((h&c)&h)
(~(s)|((~(c)&~(h))>(((c|c)&h)|h)))
1
0
0
0
entailment
((~(c)|s)&s)
(((s>c)&~(s))>(((s&h)&c)&~((s&s))))
1
0
0
0
entailment
((h&c)&h)
(((s>c)&~(s))>(((s&h)&c)&~((s&s))))
0
0
0
0
not entailment
((~(c)|s)&s)
(~(s)|((~(c)&~(h))>(((c|c)&h)|h)))
0
0
0
0
not entailment
~(c)
(c>((((s|c)>c)&(c&h))|~(s)))
1
0
0
0
entailment
((((c|s)>(s&h))|s)&s)
(s|(c&s))
1
1
1
0
entailment
~(c)
(s|(c&s))
0
0
0
0
not entailment
((((c|s)>(s&h))|s)&s)
(c>((((s|c)>c)&(c&h))|~(s)))
0
0
1
0
not entailment
(~(c)&(((c&h)|~(((c|h)&s)))&(s>(h&s))))
((c>s)|(~(h)|(s&s)))
1
1
1
1
entailment
(h&c)
(c|(h>s))
1
0
0
0
entailment
(~(c)&(((c&h)|~(((c|h)&s)))&(s>(h&s))))
(c|(h>s))
0
1
1
1
not entailment
(h&c)
((c>s)|(~(h)|(s&s)))
0
0
0
0
not entailment
~(((~(s)|~(h))>h))
~(((h&s)&((h|s)|s)))
1
1
1
1
entailment
((~(c)>~((s&c)))>~((h>c)))
(c>((h>s)&~(c)))
1
1
1
0
entailment
~(((~(s)|~(h))>h))
(c>((h>s)&~(c)))
0
1
0
0
not entailment
((~(c)>~((s&c)))>~((h>c)))
~(((h&s)&((h|s)|s)))
0
1
1
0
not entailment
(s&((h&c)&(h|s)))
~(~(~(~(((h&(h&h))&s)))))
1
0
1
1
entailment
((s>~((c&h)))&(h&c))
~((h>((c>s)|~(h))))
1
1
1
1
entailment
(s&((h&c)&(h|s)))
~((h>((c>s)|~(h))))
0
0
1
0
not entailment
((s>~((c&h)))&(h&c))
~(~(~(~(((h&(h&h))&s)))))
0
0
1
0
not entailment
((((c&s)>~(c))&h)&~(s))
(((s|s)>~((h|(c|c))))|((c>h)|(s&h)))
1
0
1
0
entailment
(~((~(~(~(s)))|(c>c)))|(~(h)&(s&c)))
(s&(((c|(s|c))>(s>h))|s))
1
1
1
0
entailment
((((c&s)>~(c))&h)&~(s))
(s&(((c|(s|c))>(s>h))|s))
0
1
1
0
not entailment
(~((~(~(~(s)))|(c>c)))|(~(h)&(s&c)))
(((s|s)>~((h|(c|c))))|((c>h)|(s&h)))
0
1
1
0
not entailment
~((s|c))
~(s)
1
1
1
1
entailment
~((~((((h&s)|h)|(~(h)&(h|h))))|c))
(h|s)
1
1
1
1
entailment
~((s|c))
(h|s)
0
1
0
0
not entailment
~((~((((h&s)|h)|(~(h)&(h|h))))|c))
~(s)
0
1
1
0
not entailment
~((~((((h|(c>h))>c)&h))>h))
(h>(((h&s)>c)&~(((c&~(~(h)))&(c&s)))))
1
0
0
0
entailment
((h|h)|s)
((h|h)|(h|s))
1
0
1
1
entailment
~((~((((h|(c>h))>c)&h))>h))
((h|h)|(h|s))
0
1
0
0
not entailment
((h|h)|s)
(h>(((h&s)>c)&~(((c&~(~(h)))&(c&s)))))
0
0
0
0
not entailment
~(~(~(h)))
((c&h)|~(h))
1
1
0
0
entailment
((s&(c&c))|(h&s))
(s|s)
1
1
1
1
entailment
~(~(~(h)))
(s|s)
0
1
0
0
not entailment
((s&(c&c))|(h&s))
((c&h)|~(h))
0
1
1
0
not entailment