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
~((i>(m&q)))
((i|z)|(q&(i>(b>m))))
1
0
0
0
entailment
(~((b>i))|~((~(z)|(m>i))))
((i|z)|(q&(i>(b>m))))
0
1
0
0
not entailment
~((i>(m&q)))
(((m&i)>b)|q)
0
1
0
0
not entailment
((q|(~((z&q))|m))>~((i|~(((m&q)&z)))))
~(~(((i&~((m&m)))|(q&(b>z)))))
1
1
0
0
entailment
((i|i)&((((m|z)|i)|i)|z))
(~(((z>z)&~((~(~(i))|z))))>i)
1
0
1
0
entailment
((q|(~((z&q))|m))>~((i|~(((m&q)&z)))))
(~(((z>z)&~((~(~(i))|z))))>i)
0
1
1
0
not entailment
((i|i)&((((m|z)|i)|i)|z))
~(~(((i&~((m&m)))|(q&(b>z)))))
0
0
0
0
not entailment
((h&h)&((h&~(g))&h))
(((d&~((((i&d)&v)|(h&i))))|h)|i)
1
0
0
0
entailment
~((d|((d|h)|h)))
((~((v>~((((v|d)|v)>i))))|d)>((i|i)|g))
1
0
0
0
entailment
((h&h)&((h&~(g))&h))
((~((v>~((((v|d)|v)>i))))|d)>((i|i)|g))
0
0
0
0
not entailment
~((d|((d|h)|h)))
(((d&~((((i&d)&v)|(h&i))))|h)|i)
0
0
0
0
not entailment
(((i&d)>(((h>i)|d)&((d>((g|v)>d))&i)))>v)
((~(v)>v)|i)
1
1
1
1
entailment
(((h|d)|~((h>g)))&(~(v)&h))
((~(i)&~(((h>v)&h)))>(((v|(h|v))|d)&h))
1
0
0
0
entailment
(((i&d)>(((h>i)|d)&((d>((g|v)>d))&i)))>v)
((~(i)&~(((h>v)&h)))>(((v|(h|v))|d)&h))
0
1
1
0
not entailment
(((h|d)|~((h>g)))&(~(v)&h))
((~(v)>v)|i)
0
1
0
0
not entailment
((i&(h>i))|i)
(h>i)
1
1
1
1
entailment
~((~(~(~((i>g))))|((d|(g&v))|(v|g))))
(~(~(d))>(d>(d&g)))
1
1
1
0
entailment
((i&(h>i))|i)
(~(~(d))>(d>(d&g)))
0
0
0
0
not entailment
~((~(~(~((i>g))))|((d|(g&v))|(v|g))))
(h>i)
0
1
0
0
not entailment
((((g&v)&(v&g))&d)&h)
((((((d|(v>i))&h)&h)>(i>g))&d)>g)
1
0
0
0
entailment
~(((i>g)|(d&~(d))))
(i&(g>(g|i)))
1
1
1
0
entailment
((((g&v)&(v&g))&d)&h)
(i&(g>(g|i)))
0
1
0
0
not entailment
~(((i>g)|(d&~(d))))
((((((d|(v>i))&h)&h)>(i>g))&d)>g)
0
0
0
0
not entailment
~(~((i&(h|((h&i)|(h&i))))))
(~(~((~(~(~(~(~((g&i))))))>h)))|d)
1
0
0
0
entailment
((g>i)>v)
(v|(((h>h)&~((h&~(g))))|(v&i)))
1
0
0
0
entailment
~(~((i&(h|((h&i)|(h&i))))))
(v|(((h>h)&~((h&~(g))))|(v&i)))
0
0
0
0
not entailment
((g>i)>v)
(~(~((~(~(~(~(~((g&i))))))>h)))|d)
0
0
0
0
not entailment
(i&((h&g)&v))
(~((~(~(h))>i))|(((d|h)&g)|i))
1
0
0
0
entailment
~((g>((v&v)&((h&g)&v))))
~((~(d)&(h&v)))
1
1
0
0
entailment
(i&((h&g)&v))
~((~(d)&(h&v)))
0
0
0
0
not entailment
~((g>((v&v)&((h&g)&v))))
(~((~(~(h))>i))|(((d|h)&g)|i))
0
0
0
0
not entailment
(((~((d&(i|d)))>(v>v))&i)&g)
(((~(g)&(d&d))>d)>((g&v)|(v|i)))
1
0
1
0
entailment
(h&(d&d))
(d&(d|(v&v)))
1
0
0
0
entailment
(((~((d&(i|d)))>(v>v))&i)&g)
(d&(d|(v&v)))
0
1
1
1
not entailment
(h&(d&d))
(((~(g)&(d&d))>d)>((g&v)|(v|i)))
0
0
0
0
not entailment
~((d>~((d&i))))
((d&d)|((h&v)&~(g)))
1
0
0
0
entailment
~(~(h))
((h|h)|~(((~((v|h))|h)|v)))
1
0
0
0
entailment
~((d>~((d&i))))
((h|h)|~(((~((v|h))|h)|v)))
0
0
0
0
not entailment
~(~(h))
((d&d)|((h&v)&~(g)))
0
0
0
0
not entailment
~((g>(~(~(g))>(i>~(i)))))
(g>(i|h))
1
1
0
0
entailment
(g&~(i))
(i>v)
1
1
0
0
entailment
~((g>(~(~(g))>(i>~(i)))))
(i>v)
0
1
0
0
not entailment
(g&~(i))
(g>(i|h))
0
1
0
0
not entailment
(g&i)
(i|(h>g))
1
0
0
0
entailment
~(((g>g)&v))
(~((v&d))|~((v&v)))
1
0
0
0
entailment
(g&i)
(~((v&d))|~((v&v)))
0
0
0
0
not entailment
~(((g>g)&v))
(i|(h>g))
0
1
0
0
not entailment
(~((~((v|i))|v))&(d>(h>((i|g)|(h>g)))))
(i|(d&v))
1
1
1
0
entailment
~((~(d)>(h|d)))
((~(~(h))|v)>v)
1
1
0
0
entailment
(~((~((v|i))|v))&(d>(h>((i|g)|(h>g)))))
((~(~(h))|v)>v)
0
1
1
1
not entailment
~((~(d)>(h|d)))
(i|(d&v))
0
1
0
0
not entailment
~(((~((h&d))>(d>g))|(v|(h|v))))
~(v)
1
1
1
1
entailment
((d|d)&(v&i))
((d|(~(g)&v))&i)
1
0
0
0
entailment
~(((~((h&d))>(d>g))|(v|(h|v))))
((d|(~(g)&v))&i)
0
1
0
0
not entailment
((d|d)&(v&i))
~(v)
0
1
1
0
not entailment
((((g|~(d))|i)|v)&g)
(((i|h)|g)|~(v))
1
1
0
0
entailment
(((i|d)&d)|~((v|g)))
(g>(~(i)|d))
1
1
1
0
entailment
((((g|~(d))|i)|v)&g)
(g>(~(i)|d))
0
1
1
0
not entailment
(((i|d)&d)|~((v|g)))
(((i|h)|g)|~(v))
0
1
0
0
not entailment
~((~(d)>~(h)))
(~(~(~(((g|~(~(h)))|i))))>(h|h))
1
0
0
0
entailment
(~(v)&d)
~(((g&v)&g))
1
0
0
0
entailment
~((~(d)>~(h)))
~(((g&v)&g))
0
1
0
0
not entailment
(~(v)&d)
(~(~(~(((g|~(~(h)))|i))))>(h|h))
0
0
0
0
not entailment
(~(~(h))&(g&h))
(((g&d)>((h>i)|v))>(g|(v&d)))
1
0
0
0
entailment
(((i>~(i))&v)|~(((v|i)>h)))
((i&(h&(i&(h&d))))>(~(~(v))&~(g)))
1
0
0
0
entailment
(~(~(h))&(g&h))
((i&(h&(i&(h&d))))>(~(~(v))&~(g)))
0
0
0
0
not entailment
(((i>~(i))&v)|~(((v|i)>h)))
(((g&d)>((h>i)|v))>(g|(v&d)))
0
1
0
0
not entailment
(g&(~(~((d|v)))>((i>(d>d))>(v&g))))
(g|v)
1
1
1
1
entailment
(d&~(((v|h)&d)))
~((((g&v)>(i&d))>(v&v)))
1
0
0
0
entailment
(g&(~(~((d|v)))>((i>(d>d))>(v&g))))
~((((g&v)>(i&d))>(v&v)))
0
1
1
0
not entailment
(d&~(((v|h)&d)))
(g|v)
0
1
0
0
not entailment
(h&g)
((d>d)&(~(g)>g))
1
0
0
0
entailment
((((d&g)|d)&((~(d)>h)&(h|h)))&v)
(((v|~(~(v)))&h)&((~(v)&g)|(h>v)))
1
0
1
0
entailment
(h&g)
(((v|~(~(v)))&h)&((~(v)&g)|(h>v)))
0
0
0
0
not entailment
((((d&g)|d)&((~(d)>h)&(h|h)))&v)
((d>d)&(~(g)>g))
0
1
1
0
not entailment
(((v&v)>~((((g>g)>(v>i))&~(v))))&(i&g))
(((~(~(~(~(~((v>h))))))&v)&(d|d))|g)
1
1
0
0
entailment
(((v|i)&i)&h)
(~(~(h))|~((i|(g&h))))
1
0
0
0
entailment
(((v&v)>~((((g>g)>(v>i))&~(v))))&(i&g))
(~(~(h))|~((i|(g&h))))
0
1
0
0
not entailment
(((v|i)&i)&h)
(((~(~(~(~(~((v>h))))))&v)&(d|d))|g)
0
0
0
0
not entailment
(~((u&u))>u)
~(~(u))
1
1
1
1
entailment
~((u|~((~(u)|((u&u)&u)))))
((u&u)>~(((u|u)>u)))
1
1
1
1
entailment
(~((u&u))>u)
((u&u)>~(((u|u)>u)))
0
0
1
0
not entailment
~((u|~((~(u)|((u&u)&u)))))
~(~(u))
0
1
1
1
not entailment
((u|u)|(u&u))
~(((u>u)>(~(u)&~(u))))
1
0
1
0
entailment
(((u&(u|(u>u)))>~(u))&(u>(u|u)))
~(u)
1
1
1
1
entailment
((u|u)|(u&u))
~(u)
0
1
1
0
not entailment
(((u&(u|(u>u)))>~(u))&(u>(u|u)))
~(((u>u)>(~(u)&~(u))))
0
1
1
1
not entailment
(u&u)
(u&((~((~(u)>u))|~(u))|u))
1
0
1
0
entailment
~(((u&u)&((u>(u>u))&u)))
~(u)
1
1
1
1
entailment
(u&u)
~(u)
0
1
1
0
not entailment
~(((u&u)&((u>(u>u))&u)))
(u&((~((~(u)>u))|~(u))|u))
0
0
1
1
not entailment
(u|u)
(((u|u)>u)>u)
1
0
1
0
entailment
(~(((u|u)|((u>u)&(u&u))))&(u>u))
((u|~(u))>~(~(~((u&u)))))
1
1
1
1
entailment
(u|u)
((u|~(u))>~(~(~((u&u)))))
0
0
1
0
not entailment
(~(((u|u)|((u>u)&(u&u))))&(u>u))
(((u|u)>u)>u)
0
1
1
1
not entailment
~(~((~(~((u>(u&~((u&u))))))>(u&u))))
(u&(u>(u>u)))
1
1
1
1
entailment
~(((u|u)|u))
~((((u>(u&u))|u)>u))
1
0
1
0
entailment
~(~((~(~((u>(u&~((u&u))))))>(u&u))))
~((((u>(u&u))|u)>u))
0
1
1
1
not entailment
~(((u|u)|u))
(u&(u>(u>u)))
0
1
1
0
not entailment
(u|(u&u))
(~((u>((~(u)&u)&(u&u))))|(u|(u&(u>u))))
1
0
1
0
entailment