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
((b>(d|(b&(b|(b>b)))))&((d&g)&d))
(((d&~(k))>h)|~((k|d)))
0
1
0
0
not entailment
((d>(b|d))&(h&h))
((k>g)|~((d>~(k))))
0
0
0
0
not entailment
~(~((~((b|~(k)))&d)))
((b&(k|(g&k)))>((d&g)&(~(k)>((g&g)>d))))
1
0
0
0
entailment
(g|g)
(((h>(k>h))>(g|g))|(k&(k>b)))
1
0
0
0
entailment
~(~((~((b|~(k)))&d)))
(((h>(k>h))>(g|g))|(k&(k>b)))
0
0
0
0
not entailment
(g|g)
((b&(k|(g&k)))>((d&g)&(~(k)>((g&g)>d))))
0
0
0
0
not entailment
(((~((~((d&h))&g))&b)>b)>(k&b))
((k|b)|(h|~(~(~((h>((g|h)|b)))))))
1
0
1
0
entailment
(g&~((b&g)))
((b&(h|~((d>b))))|g)
1
0
0
0
entailment
(((~((~((d&h))&g))&b)>b)>(k&b))
((b&(h|~((d>b))))|g)
0
1
1
0
not entailment
(g&~((b&g)))
((k|b)|(h|~(~(~((h>((g|h)|b)))))))
0
0
0
0
not entailment
(d&k)
((h>d)&(g>d))
1
0
0
0
entailment
((g>b)>(~(h)&d))
((~(b)>b)>~((b&h)))
1
0
1
1
entailment
(d&k)
((~(b)>b)>~((b&h)))
0
0
0
0
not entailment
((g>b)>(~(h)&d))
((h>d)&(g>d))
0
1
1
0
not entailment
(((~(g)&(k&b))>~(~(~(g))))&~(g))
~(((g|~(b))&b))
1
1
1
0
entailment
(((h&g)&h)&(k&(b&b)))
(k&g)
1
1
1
1
entailment
(((~(g)&(k&b))>~(~(~(g))))&~(g))
(k&g)
0
1
1
0
not entailment
(((h&g)&h)&(k&(b&b)))
~(((g|~(b))&b))
0
1
1
0
not entailment
(~(b)&(h>d))
~((b&d))
1
1
1
0
entailment
(k&(~(k)>(b&(h>k))))
((~(~((h>k)))>k)|~(g))
1
0
0
0
entailment
(~(b)&(h>d))
((~(~((h>k)))>k)|~(g))
0
0
0
0
not entailment
(k&(~(k)>(b&(h>k))))
~((b&d))
0
1
0
0
not entailment
(~(((b&(b|g))|d))&~((k|~(h))))
(h>~(~(~(~(~(~((b>(k>g)))))))))
1
0
1
0
entailment
(k&(k>b))
(b|~(g))
1
1
0
0
entailment
(~(((b&(b|g))|d))&~((k|~(h))))
(b|~(g))
0
1
1
0
not entailment
(k&(k>b))
(h>~(~(~(~(~(~((b>(k>g)))))))))
0
0
0
0
not entailment
~(((g>h)|(d&((b>d)&h))))
((k>~(((d|h)>(k>k))))|((b|h)|(g&(g&k))))
1
0
0
0
entailment
~(((h|b)&b))
(~(b)|~(~(k)))
1
0
0
0
entailment
~(((g>h)|(d&((b>d)&h))))
(~(b)|~(~(k)))
0
1
0
0
not entailment
~(((h|b)&b))
((k>~(((d|h)>(k>k))))|((b|h)|(g&(g&k))))
0
0
0
0
not entailment
((((h>d)>h)|k)&(d|(h|h)))
((g|g)>((d|d)|((h|b)|(d&g))))
1
0
0
0
entailment
~((((d>g)|(((h>k)|d)&(b>b)))&(k>(d&k))))
(k|(b|b))
1
1
1
1
entailment
((((h>d)>h)|k)&(d|(h|h)))
(k|(b|b))
0
1
0
0
not entailment
~((((d>g)|(((h>k)|d)&(b>b)))&(k>(d&k))))
((g|g)>((d|d)|((h|b)|(d&g))))
0
1
1
0
not entailment
~(((b&~((b>h)))>((h|d)|(h|g))))
(b|(((k>h)|(d&h))&(~((h>h))|~(k))))
1
0
0
0
entailment
(g&(h|(d>(k|h))))
(g|~(((h|k)&k)))
1
1
1
0
entailment
~(((b&~((b>h)))>((h|d)|(h|g))))
(g|~(((h|k)&k)))
0
1
0
0
not entailment
(g&(h|(d>(k|h))))
(b|(((k>h)|(d&h))&(~((h>h))|~(k))))
0
0
0
0
not entailment
(d&k)
(~(k)>((h&h)&g))
1
0
0
0
entailment
~(~(h))
(((d|(k>k))|k)>(~(b)|h))
1
0
0
0
entailment
(d&k)
(((d|(k>k))|k)>(~(b)|h))
0
0
0
0
not entailment
~(~(h))
(~(k)>((h&h)&g))
0
0
0
0
not entailment
(((b&b)|g)&b)
~(~(((((g>d)|g)>(h>b))|(~(~(k))&g))))
1
0
0
0
entailment
(((b&(~(d)>k))|~((b&(h&h))))>g)
(g|h)
1
1
1
1
entailment
(((b&b)|g)&b)
(g|h)
0
1
0
0
not entailment
(((b&(~(d)>k))|~((b&(h&h))))>g)
~(~(((((g>d)|g)>(h>b))|(~(~(k))&g))))
0
0
1
0
not entailment
(h&k)
((d>g)>k)
1
0
0
0
entailment
(g&b)
(~((b&b))>~(((d|(g>d))>b)))
1
0
0
0
entailment
(h&k)
(~((b&b))>~(((d|(g>d))>b)))
0
0
0
0
not entailment
(g&b)
((d>g)>k)
0
0
0
0
not entailment
(((k&g)|(h&g))&(h&~((k&((k>k)|g)))))
((b&d)>((g|((g>~(g))>k))&~((~(d)&k))))
1
0
0
0
entailment
((~(d)&~((b>b)))|b)
(~(b)>(k&(h>h)))
1
1
0
0
entailment
(((k&g)|(h&g))&(h&~((k&((k>k)|g)))))
(~(b)>(k&(h>h)))
0
1
0
0
not entailment
((~(d)&~((b>b)))|b)
((b&d)>((g|((g>~(g))>k))&~((~(d)&k))))
0
0
0
0
not entailment
(h>d)
~(~((k>(d|(h>g)))))
1
0
0
0
entailment
~(((g|((g|h)>(g>h)))>~(k)))
(~(((d&~((h&((k>g)|b))))>h))|k)
1
0
0
0
entailment
(h>d)
(~(((d&~((h&((k>g)|b))))>h))|k)
0
0
0
0
not entailment
~(((g|((g|h)>(g>h)))>~(k)))
~(~((k>(d|(h>g)))))
0
1
0
0
not entailment
(((d&k)&((g&(g>k))|(d|g)))|g)
((g|g)|~(~(k)))
1
1
1
1
entailment
~(((d|(h|g))>(k|(~(~(h))>(g|b)))))
~(((d&b)|((~(~((k&h)))>h)&(~(b)&k))))
1
0
1
0
entailment
(((d&k)&((g&(g>k))|(d|g)))|g)
~(((d&b)|((~(~((k&h)))>h)&(~(b)&k))))
0
0
0
0
not entailment
~(((d|(h|g))>(k|(~(~(h))>(g|b)))))
((g|g)|~(~(k)))
0
1
1
0
not entailment
((((k>g)|((g|d)>k))|~(g))>(((h|b)|g)&g))
(g|g)
1
1
1
1
entailment
~(((~(k)>~(b))>d))
(d>(((k&b)&h)&d))
1
1
0
0
entailment
((((k>g)|((g|d)>k))|~(g))>(((h|b)|g)&g))
(d>(((k&b)&h)&d))
0
1
1
0
not entailment
~(((~(k)>~(b))>d))
(g|g)
0
1
0
0
not entailment
~((~(((h|u)|~(((o>u)>h))))|~(u)))
((h>(h&u))|(u&h))
1
1
1
1
entailment
~(((o>o)&(u|(o&o))))
(((o|(o|u))&~(((u&(u>h))|h)))>(o|h))
1
0
0
0
entailment
~((~(((h|u)|~(((o>u)>h))))|~(u)))
(((o|(o|u))&~(((u&(u>h))|h)))>(o|h))
0
1
1
0
not entailment
~(((o>o)&(u|(o&o))))
((h>(h&u))|(u&h))
0
1
0
0
not entailment
((u&(u&u))&(o|h))
(((h&~((o&h)))|((u>h)&u))|u)
1
0
1
0
entailment
((h>h)&h)
~(~((o>((u|o)>h))))
1
0
0
0
entailment
((u&(u&u))&(o|h))
~(~((o>((u|o)>h))))
0
0
1
0
not entailment
((h>h)&h)
(((h&~((o&h)))|((u>h)&u))|u)
0
0
0
0
not entailment
(((((u>(o>h))>u)>~(o))>(o&(o&h)))&h)
~(~((h&o)))
1
1
1
1
entailment
~(h)
~(~((h&o)))
0
0
0
0
not entailment
(((((u>(o>h))>u)>~(o))>(o&(o&h)))&h)
(h>u)
0
1
1
1
not entailment
((((u|(u>h))&u)&o)|(h&u))
(u|h)
1
1
1
1
entailment
(~((u&u))&~(h))
(~(((u>h)|(u&h)))>(h&~(u)))
1
0
1
0
entailment
((((u|(u>h))&u)&o)|(h&u))
(~(((u>h)|(u&h)))>(h&~(u)))
0
0
1
1
not entailment
(~((u&u))&~(h))
(u|h)
0
1
1
0
not entailment
(((o|(o>((h&h)&u)))>~(o))|(u&~((u&u))))
(~((o>u))>(o&((h&o)|~((h>o)))))
1
1
1
0
entailment
(o|(h|o))
(((u&~((u>o)))|(h&h))>h)
1
0
0
0
entailment
(((o|(o>((h&h)&u)))>~(o))|(u&~((u&u))))
(((u&~((u>o)))|(h&h))>h)
0
1
1
0
not entailment
(o|(h|o))
(~((o>u))>(o&((h&o)|~((h>o)))))
0
0
0
0
not entailment
(h&~((((h&(h|~(h)))|h)&~(((u>o)|u)))))
(~(((h|(o>u))|h))>((u|~(o))&(o>u)))
1
1
1
0
entailment
(((o>o)>((~(h)>u)>u))&((o>o)>(o|u)))
(h>u)
1
1
1
1
entailment
(h&~((((h&(h|~(h)))|h)&~(((u>o)|u)))))
(h>u)
0
1
1
1
not entailment
(((o>o)>((~(h)>u)>u))&((o>o)>(o|u)))
(~(((h|(o>u))|h))>((u|~(o))&(o>u)))
0
1
1
0
not entailment
~((((u>h)>u)>~(((~(u)|u)>h))))
(u>(h&h))
1
1
1
1
entailment
(((((h>u)&(u>u))|(~(h)&u))&o)&o)
(o&(h|o))
1
1
1
0
entailment
~((((u>h)>u)>~(((~(u)|u)>h))))
(o&(h|o))
0
1
0
0
not entailment
(((((h>u)&(u>u))|(~(h)&u))&o)&o)
(u>(h&h))
0
1
1
0
not entailment
~((~(((h>(o&o))|u))|~(o)))
(~(((h&u)&(h|o)))>((u|h)|o))
1
1
1
0
entailment
~(((h|h)|(~(h)&(~(~((h>u)))>o))))
(o>h)
1
1
1
1
entailment
~((~(((h>(o&o))|u))|~(o)))
(o>h)
0
1
1
0
not entailment
~(((h|h)|(~(h)&(~(~((h>u)))>o))))
(~(((h&u)&(h|o)))>((u|h)|o))
0
1
1
0
not entailment
~(~(((h&(h|(o>o)))&(u&(o&h)))))
((u|h)&~(~((o|u))))
1
1
1
1
entailment
~((o|u))
((h|(u|u))>((h>o)>~(u)))
1
0
0
0
entailment
~(~(((h&(h|(o>o)))&(u&(o&h)))))
((h|(u|u))>((h>o)>~(u)))
0
1
1
0
not entailment