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
~((d>b))
(~((s>((b|b)>i)))>(s&((d&(w|u))>w)))
1
0
0
0
entailment
((b|i)|i)
(~(~((w|d)))>((b|(u>i))|((s&s)&w)))
1
0
0
0
entailment
~((d>b))
(~(~((w|d)))>((b|(u>i))|((s&s)&w)))
0
0
0
0
not entailment
((b|i)|i)
(~((s>((b|b)>i)))>(s&((d&(w|u))>w)))
0
0
0
0
not entailment
(~(w)&((s&(b>u))&d))
(w>(d&w))
1
1
1
0
entailment
(u&s)
(~(d)|(s&u))
1
0
0
0
entailment
(~(w)&((s&(b>u))&d))
(~(d)|(s&u))
0
1
1
0
not entailment
(u&s)
(w>(d&w))
0
0
0
0
not entailment
((~((i&b))&u)&~(~(((b|w)|d))))
(((u&b)&s)|((d&~(b))|(i|u)))
1
1
0
0
entailment
~(((b|d)>(~(~((((u>u)>s)|w)))&(i>b))))
((b&w)>(~(b)|(s>i)))
1
1
1
1
entailment
((~((i&b))&u)&~(~(((b|w)|d))))
((b&w)>(~(b)|(s>i)))
0
1
0
0
not entailment
~(((b|d)>(~(~((((u>u)>s)|w)))&(i>b))))
(((u&b)&s)|((d&~(b))|(i|u)))
0
1
1
0
not entailment
~(~((~(s)&(((d>d)&i)&w))))
(((d&s)>(b&u))|u)
1
1
0
0
entailment
((d|~(~((s>(d>i)))))>d)
((d|b)|(b|(s|d)))
1
1
0
0
entailment
~(~((~(s)&(((d>d)&i)&w))))
((d|b)|(b|(s|d)))
0
1
0
0
not entailment
((d|~(~((s>(d>i)))))>d)
(((d&s)>(b&u))|u)
0
1
0
0
not entailment
~(((d&u)>s))
~(~((u|(b>u))))
1
0
0
0
entailment
(~(d)|~((b>(d|~(i)))))
(s|(d>~(u)))
1
1
0
0
entailment
~(((d&u)>s))
(s|(d>~(u)))
0
1
1
0
not entailment
(~(d)|~((b>(d|~(i)))))
~(~((u|(b>u))))
0
1
0
0
not entailment
(((d|(u|w))&w)&~((w&u)))
(s>w)
1
1
0
0
entailment
(b&~(~((u&(i&s)))))
(b|~((~(s)>d)))
1
1
0
0
entailment
(((d|(u|w))&w)&~((w&u)))
(b|~((~(s)>d)))
0
1
0
0
not entailment
(b&~(~((u&(i&s)))))
(s>w)
0
1
0
0
not entailment
~(((~((b&i))&w)|(d|(u>s))))
((w&b)>i)
1
1
1
0
entailment
(((d>s)>(s>w))&(~(s)&b))
(b|~(~(~((((b|i)|u)>(u>i))))))
1
0
0
0
entailment
~(((~((b&i))&w)|(d|(u>s))))
(b|~(~(~((((b|i)|u)>(u>i))))))
0
0
1
0
not entailment
(((d>s)>(s>w))&(~(s)&b))
((w&b)>i)
0
1
0
0
not entailment
(u&~((s|(d&(u&i)))))
(((s|(d&s))&(s|d))>~((~(b)&s)))
1
0
0
0
entailment
(~(s)>i)
(b>((s>s)>(s|(i&i))))
1
0
0
0
entailment
(u&~((s|(d&(u&i)))))
(b>((s>s)>(s|(i&i))))
0
1
0
0
not entailment
(~(s)>i)
(((s|(d&s))&(s|d))>~((~(b)&s)))
0
0
0
0
not entailment
(w&~((s&(d|(i&s)))))
((s|b)|(~((i>b))>w))
1
1
0
0
entailment
~(~(~((u>(b|w)))))
((~(b)&u)|~((u>~(((i&i)&b)))))
1
0
0
0
entailment
(w&~((s&(d|(i&s)))))
((~(b)&u)|~((u>~(((i&i)&b)))))
0
0
0
0
not entailment
~(~(~((u>(b|w)))))
((s|b)|(~((i>b))>w))
0
1
0
0
not entailment
(~((w>~(~(s))))&b)
((s|u)|~(~(((d>b)|(w|((i|u)&~(u)))))))
1
0
0
0
entailment
(~(i)|(((i&s)|(b>b))>((d>b)>~(u))))
(i>(~(u)|(u&d)))
1
1
1
0
entailment
(~((w>~(~(s))))&b)
(i>(~(u)|(u&d)))
0
1
0
0
not entailment
(~(i)|(((i&s)|(b>b))>((d>b)>~(u))))
((s|u)|~(~(((d>b)|(w|((i|u)&~(u)))))))
0
0
0
0
not entailment
(~(s)&b)
((s|s)>~(w))
1
0
0
0
entailment
(u&((d&b)&w))
(((w|i)|~((d&b)))>w)
1
0
0
0
entailment
(~(s)&b)
(((w|i)|~((d&b)))>w)
0
0
0
0
not entailment
(u&((d&b)&w))
((s|s)>~(w))
0
1
0
0
not entailment
((d&s)&(d>(d>b)))
(((~((d>((s>u)&d)))&w)|~(d))>(d&s))
1
0
0
0
entailment
~(((u|(u|u))>(w&w)))
(u|~(((i|u)|w)))
1
1
0
0
entailment
((d&s)&(d>(d>b)))
(u|~(((i|u)|w)))
0
1
0
0
not entailment
~(((u|(u|u))>(w&w)))
(((~((d>((s>u)&d)))&w)|~(d))>(d&s))
0
0
0
0
not entailment
~(~(((((w&b)>s)>w)&u)))
((b|w)|(u&~(u)))
1
1
1
0
entailment
~((b|i))
~(((i|i)&~((((i|i)>~(~(w)))>d))))
1
0
0
0
entailment
~(~(((((w&b)>s)>w)&u)))
~(((i|i)&~((((i|i)>~(~(w)))>d))))
0
0
0
0
not entailment
~((b|i))
((b|w)|(u&~(u)))
0
0
0
0
not entailment
~(~(~(((b&d)|((i>s)>(w|(u>w)))))))
(((i&~((d>b)))|((b&w)>u))>u)
1
1
1
0
entailment
((b&b)&s)
((s|s)|(i&i))
1
0
0
0
entailment
~(~(~(((b&d)|((i>s)>(w|(u>w)))))))
((s|s)|(i&i))
0
1
1
0
not entailment
((b&b)&s)
(((i&~((d>b)))|((b&w)>u))>u)
0
0
0
0
not entailment
~(~(~(((((h|i)|i)>h)|h))))
((o|(i&(o>i)))>((i|h)&((o|o)|i)))
1
0
0
0
entailment
(o|~((((i>h)>(~(o)>o))>~(~((h>i))))))
(~((o|(h|h)))>(h&h))
1
1
1
1
entailment
~(~(~(((((h|i)|i)>h)|h))))
(~((o|(h|h)))>(h&h))
0
1
0
0
not entailment
(o|~((((i>h)>(~(o)>o))>~(~((h>i))))))
((o|(i&(o>i)))>((i|h)&((o|o)|i)))
0
1
1
0
not entailment
((h>(o&h))&h)
((~((~(h)|~(i)))|(i>o))&(h|o))
1
0
0
0
entailment
(i&(o>o))
(i|(h&(h&i)))
1
0
0
0
entailment
((h>(o&h))&h)
(i|(h&(h&i)))
0
1
0
0
not entailment
(i&(o>o))
((~((~(h)|~(i)))|(i>o))&(h|o))
0
0
0
0
not entailment
(~(h)>(h|~(~(h))))
(h|(~(h)>(o>((o|(i&o))>h))))
1
0
0
0
entailment
((i&o)|o)
((o|i)&(h|o))
1
0
0
0
entailment
(~(h)>(h|~(~(h))))
((o|i)&(h|o))
0
1
0
0
not entailment
((i&o)|o)
(h|(~(h)>(o>((o|(i&o))>h))))
0
0
0
0
not entailment
((~(o)&(o&h))|((i&o)&h))
~(((h|(h&(o|o)))>(o>~(h))))
1
0
1
1
entailment
~(o)
~((((((o>h)&i)>o)|i)>(h&o)))
1
0
0
0
entailment
((~(o)&(o&h))|((i&o)&h))
~((((((o>h)&i)>o)|i)>(h&o)))
0
0
1
0
not entailment
~(o)
~(((h|(h&(o|o)))>(o>~(h))))
0
0
0
0
not entailment
(h&h)
(o>h)
1
1
0
0
entailment
(o&o)
~(((h&~(i))&~((h>o))))
1
0
0
0
entailment
(h&h)
~(((h&~(i))&~((h>o))))
0
0
0
0
not entailment
(o&o)
(o>h)
0
1
0
0
not entailment
(~(~(~(i)))&(h&o))
(h&(((~(~(~(h)))>i)|i)|h))
1
0
1
0
entailment
((((o&o)>o)&~((~(o)&o)))>((i>h)>i))
(((i&h)|h)>(h>i))
1
1
1
0
entailment
(~(~(~(i)))&(h&o))
(((i&h)|h)>(h>i))
0
1
1
0
not entailment
((((o&o)>o)&~((~(o)&o)))>((i>h)>i))
(h&(((~(~(~(h)))>i)|i)|h))
0
1
1
0
not entailment
((~((h&h))|~(i))&(o&h))
~(((((o|((o&i)&h))|i)>i)&~(o)))
1
0
1
0
entailment
(h&(h&(h>i)))
(i|i)
1
1
1
1
entailment
((~((h&h))|~(i))&(o&h))
(i|i)
0
1
1
0
not entailment
(h&(h&(h>i)))
~(((((o|((o&i)&h))|i)>i)&~(o)))
0
0
0
0
not entailment
(((h>h)>(i|i))&((h&i)>i))
(((o>h)&o)>(i&h))
1
1
0
0
entailment
~((~(((~((i&i))>o)>i))>(o>((o>o)&i))))
((h&((o|(i|h))>i))|o)
1
1
0
0
entailment
(((h>h)>(i|i))&((h&i)>i))
((h&((o|(i|h))>i))|o)
0
1
0
0
not entailment
~((~(((~((i&i))>o)>i))>(o>((o>o)&i))))
(((o>h)&o)>(i&h))
0
1
0
0
not entailment
(i|(~((~(~((i&h)))>~(i)))&o))
~((~((o>(i|h)))&(h>(o&i))))
1
1
1
0
entailment
~(((~((i&h))|h)>~(o)))
(~(((h>h)>(i|(o&(o|(h&i))))))|o)
1
0
1
0
entailment
(i|(~((~(~((i&h)))>~(i)))&o))
(~(((h>h)>(i|(o&(o|(h&i))))))|o)
0
1
1
0
not entailment
~(((~((i&h))|h)>~(o)))
~((~((o>(i|h)))&(h>(o&i))))
0
0
1
0
not entailment
~((i|~(o)))
~(i)
1
1
1
1
entailment
(h&h)
((~(o)|(((o|h)>(h|o))|i))>h)
1
0
0
0
entailment
~((i|~(o)))
((~(o)|(((o|h)>(h|o))|i))>h)
0
0
0
0
not entailment
(h&h)
~(i)
0
1
0
0
not entailment
(h&(i&((i>h)>h)))
((o|i)>h)
1
1
0
0
entailment
(((i|i)&o)&(o&~(((o>h)&i))))
(~(h)|~(~((i&o))))
1
1
1
1
entailment
(h&(i&((i>h)>h)))
(~(h)|~(~((i&o))))
0
0
0
0
not entailment
(((i|i)&o)&(o&~(((o>h)&i))))
((o|i)>h)
0
1
1
0
not entailment