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
((b&(~(~(v))|(g&v)))&(u|v))
(((r&b)>(q>((r>(q>r))>r)))>y)
0
1
0
0
not entailment
((y>((u|r)|(g|j)))&b)
(~((y&y))>((u&(j&(v&b)))|b))
1
0
0
0
entailment
((~((u>(~(j)&(j&g))))&(j&((j|b)&q)))&v)
~(~((q&j)))
1
1
1
1
entailment
((y>((u|r)|(g|j)))&b)
~(~((q&j)))
0
1
0
0
not entailment
((~((u>(~(j)&(j&g))))&(j&((j|b)&q)))&v)
(~((y&y))>((u&(j&(v&b)))|b))
0
1
0
0
not entailment
((g|r)&((~(u)|v)&((y&b)&v)))
((g&~(((c|j)|b)))>c)
1
1
0
0
entailment
~((q>(~(q)|(b&y))))
(((~(u)>((y>y)|(j&c)))|b)&(q|~(y)))
1
0
0
0
entailment
((g|r)&((~(u)|v)&((y&b)&v)))
(((~(u)>((y>y)|(j&c)))|b)&(q|~(y)))
0
0
0
0
not entailment
~((q>(~(q)|(b&y))))
((g&~(((c|j)|b)))>c)
0
1
0
0
not entailment
~((((~(((j|y)&q))>(g|r))>((u>g)|r))|v))
~(~(((r&c)>(g|(b&(c&(r|(u|g))))))))
1
1
0
0
entailment
((v&(j>(r&(v&y))))&(c>(~(q)&c)))
(c>v)
1
1
1
1
entailment
~((((~(((j|y)&q))>(g|r))>((u>g)|r))|v))
(c>v)
0
1
0
0
not entailment
((v&(j>(r&(v&y))))&(c>(~(q)&c)))
~(~(((r&c)>(g|(b&(c&(r|(u|g))))))))
0
0
0
0
not entailment
~((v>~(c)))
((((c>g)>c)&v)|(g>j))
1
0
0
0
entailment
~(((q|b)>((((v|v)&v)|(u&v))|(~(u)|j))))
~(~(~(((c|~(j))&j))))
1
1
0
0
entailment
~((v>~(c)))
~(~(~(((c|~(j))&j))))
0
0
0
0
not entailment
~(((q|b)>((((v|v)&v)|(u&v))|(~(u)|j))))
((((c>g)>c)&v)|(g>j))
0
1
0
0
not entailment
~((((y>(q&b))>r)|v))
((~((r>y))>(j&c))>~(((g|j)&(y&r))))
1
0
0
0
entailment
((q&v)&(v>g))
(~(r)>(~(v)>~(~(c))))
1
0
0
0
entailment
~((((y>(q&b))>r)|v))
(~(r)>(~(v)>~(~(c))))
0
0
0
0
not entailment
((q&v)&(v>g))
((~((r>y))>(j&c))>~(((g|j)&(y&r))))
0
0
0
0
not entailment
~(~(((c&q)&(~((q&y))&~(~(v))))))
~(~((q>(c>v))))
1
1
1
0
entailment
(((~(y)|c)>((v|c)&r))&((j&b)|~(b)))
(((c&q)&g)>(c&r))
1
1
0
0
entailment
~(~(((c&q)&(~((q&y))&~(~(v))))))
(((c&q)&g)>(c&r))
0
1
0
0
not entailment
(((~(y)|c)>((v|c)&r))&((j&b)|~(b)))
~(~((q>(c>v))))
0
1
0
0
not entailment
(((q>(v>(g&(b|y))))|(b>(u&g)))&~((u>q)))
(~(q)|(r&r))
1
1
0
0
entailment
(~(~((j|~(((r>v)|(c>~((g|v))))))))&b)
((b|~(((u&j)|(y|q))))|(r|b))
1
1
0
0
entailment
(((q>(v>(g&(b|y))))|(b>(u&g)))&~((u>q)))
((b|~(((u&j)|(y|q))))|(r|b))
0
1
0
0
not entailment
(~(~((j|~(((r>v)|(c>~((g|v))))))))&b)
(~(q)|(r&r))
0
1
0
0
not entailment
~((c>((y&~(r))|((r|u)|q))))
~((((v&y)&(j|(v&y)))&q))
1
1
0
0
entailment
~(~(g))
~(~(((y|g)|v)))
1
0
0
0
entailment
~((c>((y&~(r))|((r|u)|q))))
~(~(((y|g)|v)))
0
1
0
0
not entailment
~(~(g))
~((((v&y)&(j|(v&y)))&q))
0
0
0
0
not entailment
~((~((q&~(c)))|~(r)))
(~(((v|(y>(j>v)))&(~((r>y))&c)))&(q>q))
1
0
0
0
entailment
(~((g&u))&(u&(~(j)&v)))
~(~((c|((r&g)>(u|(b&g))))))
1
0
0
0
entailment
~((~((q&~(c)))|~(r)))
~(~((c|((r&g)>(u|(b&g))))))
0
0
0
0
not entailment
(~((g&u))&(u&(~(j)&v)))
(~(((v|(y>(j>v)))&(~((r>y))&c)))&(q>q))
0
0
0
0
not entailment
~(((c|v)|~((r|g))))
((c&(v>b))>(y&(r>c)))
1
1
0
0
entailment
((~((u&c))|(v|(v>v)))>~(j))
((c|((g|j)&((c|(g&j))>q)))|((g&u)>v))
1
0
0
0
entailment
~(((c|v)|~((r|g))))
((c|((g|j)&((c|(g&j))>q)))|((g&u)>v))
0
0
0
0
not entailment
((~((u&c))|(v|(v>v)))>~(j))
((c&(v>b))>(y&(r>c)))
0
1
0
0
not entailment
~((y|u))
(((y|y)&b)>~((r>(c>q))))
1
0
0
0
entailment
((r&((b|c)&g))&(v&((g&u)&r)))
((r>u)>(((q>(r|g))>~(r))>((r>j)>r)))
1
0
0
0
entailment
~((y|u))
((r>u)>(((q>(r|g))>~(r))>((r>j)>r)))
0
0
0
0
not entailment
((r&((b|c)&g))&(v&((g&u)&r)))
(((y|y)&b)>~((r>(c>q))))
0
1
0
0
not entailment
(((r>((c&j)>~(g)))>j)&y)
(y|r)
1
1
1
1
entailment
(v&((((c>j)&(j|((r&u)|u)))|v)>(r>q)))
((((j>~(c))&q)>v)|(g|u))
1
1
0
0
entailment
(((r>((c&j)>~(g)))>j)&y)
((((j>~(c))&q)>v)|(g|u))
0
1
0
0
not entailment
(v&((((c>j)&(j|((r&u)|u)))|v)>(r>q)))
(y|r)
0
1
0
0
not entailment
~(((((j&b)&(r>q))|b)|((g|j)>(v>c))))
(((r&(v&u))|(j|q))>(~(g)|v))
1
1
0
0
entailment
((((~(~(y))&~(q))>c)>g)&c)
(r>(c|q))
1
1
0
0
entailment
~(((((j&b)&(r>q))|b)|((g|j)>(v>c))))
(r>(c|q))
0
1
1
0
not entailment
((((~(~(y))&~(q))>c)>g)&c)
(((r&(v&u))|(j|q))>(~(g)|v))
0
1
0
0
not entailment
~(~(((k|~((((k>k)&k)&k)))>~((k&k)))))
~(~((~(k)&((k&k)>k))))
1
1
1
1
entailment
((k|(((k&k)>k)|k))&(k&k))
((((k|k)>(k&k))|(k&k))>k)
1
1
1
1
entailment
~(~(((k|~((((k>k)&k)&k)))>~((k&k)))))
((((k|k)>(k&k))|(k&k))>k)
0
1
1
1
not entailment
((k|(((k&k)>k)|k))&(k&k))
~(~((~(k)&((k&k)>k))))
0
1
1
1
not entailment
(~(k)&~(k))
~(((k&~(((k&k)&k)))|k))
1
0
1
0
entailment
((k>k)&((k>(k|(k|k)))&k))
(k|((k|k)&(k>k)))
1
1
1
1
entailment
(~(k)&~(k))
(k|((k|k)&(k>k)))
0
0
1
0
not entailment
((k>k)&((k>(k|(k|k)))&k))
~(((k&~(((k&k)&k)))|k))
0
1
1
1
not entailment
~((~((k|k))&(~(~(((k&(k>k))>k)))|k)))
(~(((k>k)&k))>(((k|(k>k))>(k>k))>k))
1
1
1
1
entailment
~((k&k))
~(((k>k)>k))
1
0
1
0
entailment
~((~((k|k))&(~(~(((k&(k>k))>k)))|k)))
~(((k>k)>k))
0
1
1
1
not entailment
~((k&k))
(~(((k>k)&k))>(((k|(k>k))>(k>k))>k))
0
0
1
0
not entailment
(k|(~(~(k))|(k|k)))
((k|k)&(k&(k&k)))
1
1
1
1
entailment
~(k)
~((~(~(((~(k)>~(k))&k)))&((k&k)&k)))
1
0
1
0
entailment
(k|(~(~(k))|(k|k)))
~((~(~(((~(k)>~(k))&k)))&((k&k)&k)))
0
0
1
0
not entailment
~(k)
((k|k)&(k&(k&k)))
0
0
1
0
not entailment
(((k>k)>k)&(k&(k|k)))
(k|((k&k)&((k|k)>k)))
1
1
1
1
entailment
(k>~(((((k>k)|(k|k))>(k&~(k)))>k)))
(~((k&~((k>k))))>~(k))
1
1
1
1
entailment
(((k>k)>k)&(k&(k|k)))
(~((k&~((k>k))))>~(k))
0
0
1
1
not entailment
(k>~(((((k>k)|(k|k))>(k&~(k)))>k)))
(k|((k&k)&((k|k)>k)))
0
1
1
1
not entailment
(~(~(~(~((k|k)))))&(k>(k|~((k|k)))))
(k&k)
1
1
1
1
entailment
~((((k&k)|~(~(k)))&(((k&k)&(k>k))|k)))
~(((~((k>(k>k)))|k)|(((k&k)&(k>k))&k)))
1
1
1
1
entailment
(~(~(~(~((k|k)))))&(k>(k|~((k|k)))))
~(((~((k>(k>k)))|k)|(((k&k)&(k>k))&k)))
0
1
1
1
not entailment
~((((k&k)|~(~(k)))&(((k&k)&(k>k))|k)))
(k&k)
0
1
1
1
not entailment
((k>k)>(k&(((k>k)&(k&(k&k)))|k)))
(~(~(~(~(~((k&(k>k)))))))>(k&k))
1
0
1
1
entailment
~((~(k)>~((~((k&k))&~(k)))))
~(((((k&k)>k)&k)|k))
1
1
1
0
entailment
((k>k)>(k&(((k>k)&(k&(k&k)))|k)))
~(((((k&k)>k)&k)|k))
0
1
1
1
not entailment
~((~(k)>~((~((k&k))&~(k)))))
(~(~(~(~(~((k&(k>k)))))))>(k&k))
0
0
1
0
not entailment
(a&(m>n))
((((m&(a&m))|(a|(m|a)))>(m&m))>m)
1
0
1
0
entailment
~(((a>n)>(n>a)))
((((m|n)&a)|(m&(a&m)))|(n&n))
1
0
0
0
entailment
(a&(m>n))
((((m|n)&a)|(m&(a&m)))|(n&n))
0
0
1
0
not entailment
~(((a>n)>(n>a)))
((((m&(a&m))|(a|(m|a)))>(m&m))>m)
0
0
0
0
not entailment
((m>a)&m)
((n>(a>((n|n)&m)))&a)
1
0
0
0
entailment
~((~(n)&~((n&(n|m)))))
(a>n)
1
1
0
0
entailment
((m>a)&m)
(a>n)
0
1
0
0
not entailment
~((~(n)&~((n&(n|m)))))
((n>(a>((n|n)&m)))&a)
0
1
0
0
not entailment
((a|a)>n)
(((n&m)>a)>((a|a)>n))
1
0
0
0
entailment
(a|(m&(a&~(((n|~(a))&((m|n)|n))))))
(~(a)>((n&~(n))|n))
1
1
1
0
entailment
((a|a)>n)
(~(a)>((n&~(n))|n))
0
0
1
0
not entailment
(a|(m&(a&~(((n|~(a))&((m|n)|n))))))
(((n&m)>a)>((a|a)>n))
0
1
1
0
not entailment
((~((m&(~(m)>m)))&n)|(a>n))
~(((a|n)&~(n)))
1
1
1
0
entailment
((~((a&a))&m)|m)
(m|m)
1
1
1
1
entailment
((~((m&(~(m)>m)))&n)|(a>n))
(m|m)
0
1
1
0
not entailment
((~((a&a))&m)|m)
~(((a|n)&~(n)))
0
1
0
0
not entailment
((~((((a|a)&m)|m))&n)&(a>n))
((m&(a>(m&m)))>~(((~(m)>n)&m)))
1
0
1
0
entailment
(m&((n>(n|a))>~(a)))
(a>m)
1
1
1
1
entailment
((~((((a|a)&m)|m))&n)&(a>n))
(a>m)
0
1
1
0
not entailment