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
(~(u)|~((g|(b>b))))
((f&m)|(~(y)|(f&~(m))))
0
0
0
0
not entailment
~(((c|(~((s|~(y)))>(s&y)))>y))
((((u|b)&b)|((n>y)|g))|((s>(u>c))&n))
0
0
0
0
not entailment
((y|(y|y))&n)
(s>(c|(~(~(~(((s>(u&u))|g))))|n)))
1
0
0
0
entailment
(f|(u&c))
((b|f)|u)
1
1
0
0
entailment
((y|(y|y))&n)
((b|f)|u)
0
1
0
0
not entailment
(f|(u&c))
(s>(c|(~(~(~(((s>(u&u))|g))))|n)))
0
0
0
0
not entailment
~((~(m)|(((s|f)>(b|f))|(m>f))))
(u>~((((f&g)&(u|f))&u)))
1
1
0
0
entailment
(~((~(f)|b))&(g&~((n&n))))
~(((s&(~(~(c))|(g|(c>s))))&(n&s)))
1
0
0
0
entailment
~((~(m)|(((s|f)>(b|f))|(m>f))))
~(((s&(~(~(c))|(g|(c>s))))&(n&s)))
0
0
0
0
not entailment
(~((~(f)|b))&(g&~((n&n))))
(u>~((((f&g)&(u|f))&u)))
0
1
0
0
not entailment
~(((n&n)>~(g)))
~(~((((m&(f&f))>~(~((u&y))))|(y>g))))
1
0
0
0
entailment
(b&((s&~(n))>~((((u&g)|y)&y))))
(~(((g>n)&(b|c)))>(~((m|b))>~(n)))
1
0
0
0
entailment
~(((n&n)>~(g)))
(~(((g>n)&(b|c)))>(~((m|b))>~(n)))
0
0
0
0
not entailment
(b&((s&~(n))>~((((u&g)|y)&y))))
~(~((((m&(f&f))>~(~((u&y))))|(y>g))))
0
0
0
0
not entailment
~((n|(c>f)))
~(n)
1
1
1
1
entailment
~((g>(((f|f)|((y&m)|(u&m)))>u)))
~((((f>(~(f)&(s|y)))>(s>b))&((u|s)&u)))
1
0
0
0
entailment
~((n|(c>f)))
~((((f>(~(f)&(s|y)))>(s>b))&((u|s)&u)))
0
0
0
0
not entailment
~((g>(((f|f)|((y&m)|(u&m)))>u)))
~(n)
0
1
0
0
not entailment
~(((s&b)>((~(s)&f)&~(f))))
(b|((f>u)|s))
1
1
0
0
entailment
~((((y&(b|b))>(s&y))>((g&n)>c)))
((u&((m>n)>b))>(f|n))
1
1
0
0
entailment
~(((s&b)>((~(s)&f)&~(f))))
((u&((m>n)>b))>(f|n))
0
1
0
0
not entailment
~((((y&(b|b))>(s&y))>((g&n)>c)))
(b|((f>u)|s))
0
1
0
0
not entailment
~((((u>m)|g)|(~(b)>~(n))))
(~((b&u))&(((~((s&f))|(b>s))|~(n))&u))
1
0
0
0
entailment
~((y|(s&n)))
((y>((b|c)&y))|~(~(((f>n)>(c|f)))))
1
0
0
0
entailment
~((((u>m)|g)|(~(b)>~(n))))
((y>((b|c)&y))|~(~(((f>n)>(c|f)))))
0
0
0
0
not entailment
~((y|(s&n)))
(~((b&u))&(((~((s&f))|(b>s))|~(n))&u))
0
0
0
0
not entailment
(((m&y)&((m|(m>g))&b))&(~(m)|c))
(((y|(n|((m|c)>f)))|~(~((n&~(g)))))|b)
1
0
0
0
entailment
((g>y)>(g&u))
(g|(((f&f)>b)&(u&((m>(c&g))|c))))
1
0
0
0
entailment
(((m&y)&((m|(m>g))&b))&(~(m)|c))
(g|(((f&f)>b)&(u&((m>(c&g))|c))))
0
1
0
0
not entailment
((g>y)>(g&u))
(((y|(n|((m|c)>f)))|~(~((n&~(g)))))|b)
0
0
0
0
not entailment
~((b>(b&(u&~(f)))))
~(~((u|b)))
1
1
1
0
entailment
~(((g&((y>b)&(f&g)))>(((n|m)|b)&(y|u))))
~(~((y>(b>(y>(u&u))))))
1
1
1
0
entailment
~((b>(b&(u&~(f)))))
~(~((y>(b>(y>(u&u))))))
0
0
0
0
not entailment
~(((g&((y>b)&(f&g)))>(((n|m)|b)&(y|u))))
~(~((u|b)))
0
1
1
0
not entailment
(u&(g>b))
(u&((~(u)&(b>(c&m)))>~((u&~(y)))))
1
0
0
0
entailment
((~((n&f))|(~(s)|(m|b)))&~(u))
(u>(~(f)>(y>g)))
1
1
0
0
entailment
(u&(g>b))
(u>(~(f)>(y>g)))
0
0
0
0
not entailment
((~((n&f))|(~(s)|(m|b)))&~(u))
(u&((~(u)&(b>(c&m)))>~((u&~(y)))))
0
0
0
0
not entailment
(s|a)
((((s>(a|(a|a)))>w)>~(s))>a)
1
0
0
0
entailment
((s>((a>(s|a))&a))>~(s))
(s>~((a&w)))
1
1
0
0
entailment
(s|a)
(s>~((a&w)))
0
0
0
0
not entailment
((s>((a>(s|a))&a))>~(s))
((((s>(a|(a|a)))>w)>~(s))>a)
0
0
0
0
not entailment
(s&(a&~(~(((s|s)&((s|s)&(a|w)))))))
((a|(s>w))&(w>s))
1
1
1
0
entailment
~(w)
~(w)
1
1
1
1
entailment
(s&(a&~(~(((s|s)&((s|s)&(a|w)))))))
~(w)
0
1
1
0
not entailment
~(w)
((a|(s>w))&(w>s))
0
0
0
0
not entailment
~((w>((((a|w)|~(a))&s)>a)))
((s>w)|(~(a)&(a&(w>(w|w)))))
1
1
1
0
entailment
~((~(a)>~(~((w|(a|(s&w)))))))
((w|a)>~((a|w)))
1
1
1
1
entailment
~((w>((((a|w)|~(a))&s)>a)))
((w|a)>~((a|w)))
0
1
1
0
not entailment
~((~(a)>~(~((w|(a|(s&w)))))))
((s>w)|(~(a)&(a&(w>(w|w)))))
0
1
1
0
not entailment
(~((~((~(w)>a))>a))&(s|~((a>s))))
~(((s>w)|w))
1
1
1
1
entailment
(~(((s&w)>(s|(w&w))))|(w&a))
(((w&w)&a)|a)
1
1
1
1
entailment
(~((~((~(w)>a))>a))&(s|~((a>s))))
(((w&w)&a)|a)
0
1
1
0
not entailment
(~(((s&w)>(s|(w&w))))|(w&a))
~(((s>w)|w))
0
1
1
1
not entailment
~((((a>w)>(a&w))&~((((s>s)&~(a))&a))))
((~((w&~(w)))>~((a|s)))|(s|w))
1
1
1
1
entailment
(((s&(a>s))>a)|~(~(~(~((~(s)&w))))))
(~(~((s&(((~(s)>w)&(w|(a&w)))>a))))>a)
1
1
1
0
entailment
~((((a>w)>(a&w))&~((((s>s)&~(a))&a))))
(~(~((s&(((~(s)>w)&(w|(a&w)))>a))))>a)
0
1
1
1
not entailment
(((s&(a>s))>a)|~(~(~(~((~(s)&w))))))
((~((w&~(w)))>~((a|s)))|(s|w))
0
1
1
0
not entailment
((w|a)&(~(a)&s))
(((s>w)&s)|~(~((a>w))))
1
0
1
0
entailment
((~((w|(s>(~(w)|a))))&~(a))|(s&a))
~(~((s>a)))
1
1
1
0
entailment
((w|a)&(~(a)&s))
~(~((s>a)))
0
1
1
0
not entailment
((~((w|(s>(~(w)|a))))&~(a))|(s&a))
(((s>w)&s)|~(~((a>w))))
0
1
1
0
not entailment
(((~((a|~(s)))|a)&s)&(a>w))
(w>((~((a|(~(s)>w)))&w)|s))
1
1
1
0
entailment
(a&(((~(a)>s)>w)|((w&w)&a)))
~(~(w))
1
1
1
1
entailment
(((~((a|~(s)))|a)&s)&(a>w))
~(~(w))
0
1
1
1
not entailment
(a&(((~(a)>s)>w)|((w&w)&a)))
(w>((~((a|(~(s)>w)))&w)|s))
0
1
1
0
not entailment
(s&~((s>a)))
~((w&a))
1
1
0
0
entailment
(((s>a)&(w&a))&((w&(~(s)|a))&~(s)))
(w|a)
1
1
1
1
entailment
(s&~((s>a)))
(w|a)
0
1
0
0
not entailment
(((s>a)&(w&a))&((w&(~(s)|a))&~(s)))
~((w&a))
0
1
1
0
not entailment
(((a&a)>(a|w))&w)
((w>(s>a))>w)
1
1
0
0
entailment
(s>~((a|s)))
(s>(~(w)&s))
1
1
0
0
entailment
(((a&a)>(a|w))&w)
(s>(~(w)&s))
0
1
0
0
not entailment
(s>~((a|s)))
((w>(s>a))>w)
0
1
0
0
not entailment
((a&s)|((~(s)&w)|(a&~(~(w)))))
((w|s)|~(~((a|s))))
1
1
1
1
entailment
~(~(((w|a)>(a&(a|s)))))
(a|~(~((w>s))))
1
1
1
1
entailment
((a&s)|((~(s)&w)|(a&~(~(w)))))
(a|~(~((w>s))))
0
1
1
0
not entailment
~(~(((w|a)>(a&(a|s)))))
((w|s)|~(~((a|s))))
0
1
1
0
not entailment
~(((a|s)|a))
((a&w)|(a>s))
1
1
0
0
entailment
~((~(w)&(a>(a>s))))
(((w>a)&(((a&~(((w|a)|s)))|s)&w))|(a|w))
1
0
1
0
entailment
~(((a|s)|a))
(((w>a)&(((a&~(((w|a)|s)))|s)&w))|(a|w))
0
0
0
0
not entailment
~((~(w)&(a>(a>s))))
((a&w)|(a>s))
0
1
1
0
not entailment
((s>w)&(~(a)|a))
(((w&a)|s)>w)
1
1
1
0
entailment
(((~((w&a))&s)|(a>s))&a)
((~(((~(w)>(w>s))|a))>(w>a))>~(~(s)))
1
0
1
0
entailment
((s>w)&(~(a)|a))
((~(((~(w)>(w>s))|a))>(w>a))>~(~(s)))
0
0
1
0
not entailment
(((~((w&a))&s)|(a>s))&a)
(((w&a)|s)>w)
0
1
1
0
not entailment
(((w&((a|w)>w))|(a|s))>~((a>(~(s)>w))))
~((((((s>w)|(s|a))|s)&s)|((w&a)&(s|a))))
1
1
1
0
entailment
~((s>(w>a)))
((w&a)|(s&(((w>a)>(a&a))&(w|w))))
1
0
1
0
entailment
(((w&((a|w)>w))|(a|s))>~((a>(~(s)>w))))
((w&a)|(s&(((w>a)>(a&a))&(w|w))))
0
1
1
0
not entailment
~((s>(w>a)))
~((((((s>w)|(s|a))|s)&s)|((w&a)&(s|a))))
0
0
1
0
not entailment
((w&(w>s))&s)
(w|a)
1
1
0
0
entailment
(~(s)&((a&a)>(~(w)|(w>s))))
(~(s)|a)
1
1
1
0
entailment
((w&(w>s))&s)
(~(s)|a)
0
1
0
0
not entailment
(~(s)&((a&a)>(~(w)|(w>s))))
(w|a)
0
1
1
0
not entailment
~((m>~((m&n))))
(b|m)
1
1
0
0
entailment
~(~(((g|n)>(b&b))))
((n>b)&((b>b)|b))
1
1
1
0
entailment
~((m>~((m&n))))
((n>b)&((b>b)|b))
0
1
0
0
not entailment
~(~(((g|n)>(b&b))))
(b|m)
0
1
0
0
not entailment
~((((~(g)|m)&g)>(n|b)))
(n>~(g))
1
1
1
1
entailment
((b|n)&b)
~(~(((b&(m>m))&(g|(b|n)))))
1
0
0
0
entailment