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
(~(~((c>(b|i))))&((c&(u>(i>b)))&i))
((i|b)&(u>(u|c)))
1
1
1
0
entailment
~(((u&(c|b))|((i&~(u))|~(((b|k)|b)))))
(((b>k)>~((i&(i&i))))|~((~(u)&k)))
1
1
1
0
entailment
(~(~((c>(b|i))))&((c&(u>(i>b)))&i))
(((b>k)>~((i&(i&i))))|~((~(u)&k)))
0
1
0
0
not entailment
~(((u&(c|b))|((i&~(u))|~(((b|k)|b)))))
((i|b)&(u>(u|c)))
0
1
1
0
not entailment
((u|b)>(b&(~(k)&k)))
(u>b)
1
1
1
1
entailment
(((i|~(~(u)))|i)&k)
(((i&(((c|i)|k)>k))>(~(i)>(i&i)))>k)
1
0
0
0
entailment
((u|b)>(b&(~(k)&k)))
(((i&(((c|i)|k)>k))>(~(i)>(i&i)))>k)
0
0
0
0
not entailment
(((i|~(~(u)))|i)&k)
(u>b)
0
1
0
0
not entailment
((~((c>c))&(i>(u&k)))|(k&b))
(~((i>k))>(k|((i>i)&k)))
1
1
1
0
entailment
~((b|(i&c)))
(b>(u&u))
1
1
0
0
entailment
((~((c>c))&(i>(u&k)))|(k&b))
(b>(u&u))
0
1
1
0
not entailment
~((b|(i&c)))
(~((i>k))>(k|((i>i)&k)))
0
0
0
0
not entailment
(k&c)
(((b>b)&c)|~((~((k|b))|((k>(k>c))&u))))
1
0
0
0
entailment
~(((c>b)&~(u)))
((b&k)>u)
1
1
0
0
entailment
(k&c)
((b&k)>u)
0
0
0
0
not entailment
~(((c>b)&~(u)))
(((b>b)&c)|~((~((k|b))|((k>(k>c))&u))))
0
0
0
0
not entailment
(((k&u)&u)&b)
((b|c)>k)
1
1
0
0
entailment
((((b>i)|b)&~((c&(c>i))))&c)
((i>(b>u))&(((i>(b&(k&u)))&i)>~((u|k))))
1
0
0
0
entailment
(((k&u)&u)&b)
((i>(b>u))&(((i>(b&(k&u)))&i)>~((u|k))))
0
0
0
0
not entailment
((((b>i)|b)&~((c&(c>i))))&c)
((b|c)>k)
0
1
0
0
not entailment
((((u&(k>b))|(k>~(~(b))))&b)>i)
(~(((c|~(b))&(~(u)>c)))>((b>i)|u))
1
0
0
0
entailment
(~(i)&(k>u))
(~(((i&i)>~(((i>(u&u))>k))))>~(u))
1
0
1
0
entailment
((((u&(k>b))|(k>~(~(b))))&b)>i)
(~(((i&i)>~(((i>(u&u))>k))))>~(u))
0
0
1
0
not entailment
(~(i)&(k>u))
(~(((c|~(b))&(~(u)>c)))>((b>i)|u))
0
0
0
0
not entailment
(((i&i)&~(~((b&c))))&(c&k))
(c>((~(k)|b)&b))
1
1
1
0
entailment
~(~((~(i)|~(((k|i)|(b&(k|(b>i))))))))
(~(i)|((u|u)&c))
1
1
0
0
entailment
(((i&i)&~(~((b&c))))&(c&k))
(~(i)|((u|u)&c))
0
1
0
0
not entailment
~(~((~(i)|~(((k|i)|(b&(k|(b>i))))))))
(c>((~(k)|b)&b))
0
1
0
0
not entailment
(b&(k&u))
((i&i)>((k&k)&(c|(i|b))))
1
0
0
0
entailment
(~(k)&(i&c))
(u>~(((c&(u|b))&(i>~(c)))))
1
0
0
0
entailment
(b&(k&u))
(u>~(((c&(u|b))&(i>~(c)))))
0
0
0
0
not entailment
(~(k)&(i&c))
((i&i)>((k&k)&(c|(i|b))))
0
0
0
0
not entailment
~(~(((u&((b|p)&~((j&p))))&b)))
((u>b)&((j&b)|b))
1
1
1
0
entailment
~((j|(j|u)))
(~((u>p))>(~(((b&j)&b))&(p&j)))
1
0
0
0
entailment
~(~(((u&((b|p)&~((j&p))))&b)))
(~((u>p))>(~(((b&j)&b))&(p&j)))
0
1
1
0
not entailment
~((j|(j|u)))
((u>b)&((j&b)|b))
0
0
0
0
not entailment
(u|u)
(j>((u|(b&p))&u))
1
0
0
0
entailment
((~(((j&p)>((b|u)>j)))|(u>p))&(p&b))
(j|(b&(j>b)))
1
1
1
1
entailment
(u|u)
(j|(b&(j>b)))
0
0
0
0
not entailment
((~(((j&p)>((b|u)>j)))|(u>p))&(p&b))
(j>((u|(b&p))&u))
0
1
1
1
not entailment
~((~(j)>j))
((u|(u>p))&(j>~((b&(u&p)))))
1
0
0
0
entailment
(((j>((u|(p&j))|u))&j)|(b>~((p>(j|p)))))
((p&b)>(j|(b&(b&u))))
1
1
1
0
entailment
~((~(j)>j))
((p&b)>(j|(b&(b&u))))
0
0
0
0
not entailment
(((j>((u|(p&j))|u))&j)|(b>~((p>(j|p)))))
((u|(u>p))&(j>~((b&(u&p)))))
0
1
1
0
not entailment
~((u|(((u&j)|(u>b))&b)))
(((b&j)&((p>u)|p))>~(j))
1
1
0
0
entailment
((((b|b)>p)&(u|(j&b)))&(b&j))
~(~((b|((j&j)>~(p)))))
1
1
1
0
entailment
~((u|(((u&j)|(u>b))&b)))
~(~((b|((j&j)>~(p)))))
0
1
0
0
not entailment
((((b|b)>p)&(u|(j&b)))&(b&j))
(((b&j)&((p>u)|p))>~(j))
0
1
1
0
not entailment
(u&u)
(~(p)>u)
1
0
0
0
entailment
~((~(((j|p)&~(u)))>~((b|(u&b)))))
(j|b)
1
1
1
0
entailment
(u&u)
(j|b)
0
1
0
0
not entailment
~((~(((j|p)&~(u)))>~((b|(u&b)))))
(~(p)>u)
0
1
1
0
not entailment
(((b|((b>p)>j))&~(j))&~((((p>u)>p)&b)))
((u&u)|b)
1
1
1
1
entailment
(~(b)&((b>(u&(p&b)))|b))
(((b>b)>b)>j)
1
1
0
0
entailment
(((b|((b>p)>j))&~(j))&~((((p>u)>p)&b)))
(((b>b)>b)>j)
0
1
1
1
not entailment
(~(b)&((b>(u&(p&b)))|b))
((u&u)|b)
0
1
1
1
not entailment
(~(~(j))|~((p|(~(~((p>u)))>p))))
((b&~(j))>~((~(p)>j)))
1
1
0
0
entailment
(((b>p)&(j>p))&(u|b))
((~((((u>b)|~((u&b)))>p))>j)>(~(u)>b))
1
0
1
0
entailment
(~(~(j))|~((p|(~(~((p>u)))>p))))
((~((((u>b)|~((u&b)))>p))>j)>(~(u)>b))
0
0
0
0
not entailment
(((b>p)&(j>p))&(u|b))
((b&~(j))>~((~(p)>j)))
0
0
1
0
not entailment
~((~((b|(u>b)))>(p&(j>j))))
(~(b)|u)
1
1
1
1
entailment
((((u&u)|b)>(u|j))>j)
(b|j)
1
1
1
1
entailment
~((~((b|(u>b)))>(p&(j>j))))
(b|j)
0
1
1
0
not entailment
((((u&u)|b)>(u|j))>j)
(~(b)|u)
0
1
1
0
not entailment
~((p>j))
~((((b&j)|~((u&j)))&(~((j>(p&u)))&u)))
1
0
0
0
entailment
~((j>~(~(p))))
(((p>~((u&b)))|(u>p))>j)
1
0
0
0
entailment
~((p>j))
(((p>~((u&b)))|(u>p))>j)
0
0
0
0
not entailment
~((j>~(~(p))))
~((((b&j)|~((u&j)))&(~((j>(p&u)))&u)))
0
0
0
0
not entailment
~((p|~(j)))
((j|p)|~(b))
1
1
0
0
entailment
(b&b)
(b|~((u>((b&p)|(p&~(u))))))
1
0
0
0
entailment
~((p|~(j)))
(b|~((u>((b&p)|(p&~(u))))))
0
0
0
0
not entailment
(b&b)
((j|p)|~(b))
0
0
0
0
not entailment
~((j|b))
(b>(((b>(p>u))|~(u))&p))
1
0
0
0
entailment
~((((p|u)&u)|j))
((((j|(u>u))|j)>((b|p)&(b|j)))|(~(u)|j))
1
0
0
0
entailment
~((j|b))
((((j|(u>u))|j)>((b|p)&(b|j)))|(~(u)|j))
0
0
0
0
not entailment
~((((p|u)&u)|j))
(b>(((b>(p>u))|~(u))&p))
0
0
0
0
not entailment
(~(~(~(b)))&j)
(((b>b)&(j|p))|((b>b)>~(b)))
1
0
0
0
entailment
(b|b)
(((p>((b>b)>b))|u)|~((u|p)))
1
0
0
0
entailment
(~(~(~(b)))&j)
(((p>((b>b)>b))|u)|~((u|p)))
0
0
0
0
not entailment
(b|b)
(((b>b)&(j|p))|((b>b)>~(b)))
0
0
0
0
not entailment
~(((u|(b|p))|b))
((j|(b&~(b)))>(b>p))
1
0
0
0
entailment
(j&(((~(u)|(b>j))&(u&u))&(b|p)))
(u|u)
1
1
1
1
entailment
~(((u|(b|p))|b))
(u|u)
0
1
1
0
not entailment
(j&(((~(u)|(b>j))&(u&u))&(b|p)))
((j|(b&~(b)))>(b>p))
0
1
1
0
not entailment
~((j|(b>((~(u)|(b|u))>~((p|j))))))
~((~(((((p|j)&b)>~((j|j)))>b))&p))
1
1
1
0
entailment
(~((~((j>b))|~(((j>j)&u))))&(~(b)&p))
~(~(~(~((b>~((~(j)>p)))))))
1
1
1
0
entailment
~((j|(b>((~(u)|(b|u))>~((p|j))))))
~(~(~(~((b>~((~(j)>p)))))))
0
1
1
0
not entailment
(~((~((j>b))|~(((j>j)&u))))&(~(b)&p))
~((~(((((p|j)&b)>~((j|j)))>b))&p))
0
1
1
0
not entailment
(((u&p)&((u>p)>b))|p)
((p>~(((j&u)>u)))>~(~((j|j))))
1
0
0
0
entailment
(((b>p)|(b>(u|(u|b))))>(~(b)&~(b)))
(~((p&~((u|u))))|~((p&(j&b))))
1
1
0
0
entailment
(((u&p)&((u>p)>b))|p)
(~((p&~((u|u))))|~((p&(j&b))))
0
0
0
0
not entailment
(((b>p)|(b>(u|(u|b))))>(~(b)&~(b)))
((p>~(((j&u)>u)))>~(~((j|j))))
0
1
0
0
not entailment
~(((p|(u&b))>(b|~(((~(u)&p)|u)))))
((~((p>(j|b)))|(~(j)>b))|(~(j)>~(u)))
1
0
0
0
entailment
(((j>p)>~((b&(p&u))))&((~((p|j))>b)>b))
((u&~(b))>(p>j))
1
1
1
1
entailment
~(((p|(u&b))>(b|~(((~(u)&p)|u)))))
((u&~(b))>(p>j))
0
1
0
0
not entailment
(((j>p)>~((b&(p&u))))&((~((p|j))>b)>b))
((~((p>(j|b)))|(~(j)>b))|(~(j)>~(u)))
0
1
1
0
not entailment
((p&p)&(b>j))
(p&((~((u>u))|p)>(p|j)))
1
0
0
0
entailment
(~(~((p|(u>b))))&(~(p)&j))
((b>(p>(p&u)))|~((p>b)))
1
1
1
0
entailment
((p&p)&(b>j))
((b>(p>(p&u)))|~((p>b)))
0
0
0
0
not entailment
(~(~((p|(u>b))))&(~(p)&j))
(p&((~((u>u))|p)>(p|j)))
0
1
1
0
not entailment