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
(h&b)
(~(~((((h|h)&b)&y)))|(y>(h&y)))
1
0
0
0
entailment
(((v|v)&y)&(y|v))
(~(~((((h|h)&b)&y)))|(y>(h&y)))
0
0
0
0
not entailment
(h&b)
(y|((v|(b>b))&(v|y)))
0
0
0
0
not entailment
(y&(~(h)&v))
(v|(y|b))
1
1
0
0
entailment
(h&h)
((h>(b&(h|h)))>h)
1
0
0
0
entailment
(y&(~(h)&v))
((h>(b&(h|h)))>h)
0
0
0
0
not entailment
(h&h)
(v|(y|b))
0
0
0
0
not entailment
(b&y)
(h|(b&(b>y)))
1
0
0
0
entailment
((y|b)&(v|((h&y)&(h>v))))
((y|y)>(((~(~((b|~(v))))&h)|v)&(b|y)))
1
0
1
0
entailment
(b&y)
((y|y)>(((~(~((b|~(v))))&h)|v)&(b|y)))
0
0
0
0
not entailment
((y|b)&(v|((h&y)&(h>v))))
(h|(b&(b>y)))
0
1
1
0
not entailment
(b&~(~(~(h))))
(~(b)>(((y|((h&y)|y))&(b>b))|h))
1
0
0
0
entailment
((~(y)|y)&v)
(v|(h&~(y)))
1
1
0
0
entailment
(b&~(~(~(h))))
(v|(h&~(y)))
0
1
0
0
not entailment
((~(y)|y)&v)
(~(b)>(((y|((h&y)|y))&(b>b))|h))
0
0
0
0
not entailment
~((((b>(v&y))|(y&b))|(y|h)))
(b|((h|b)|(~(v)|(b|~((y&(h|y)))))))
1
0
1
0
entailment
(~(~(~(b)))&(b>v))
((y|h)|(((b>b)&v)|(b>(v|(v&v)))))
1
0
0
0
entailment
~((((b>(v&y))|(y&b))|(y|h)))
((y|h)|(((b>b)&v)|(b>(v|(v&v)))))
0
0
1
0
not entailment
(~(~(~(b)))&(b>v))
(b|((h|b)|(~(v)|(b|~((y&(h|y)))))))
0
0
0
0
not entailment
((v&(v|y))&(~((y|h))&b))
~(h)
1
1
1
1
entailment
((h&y)|(~((h>((y>h)|h)))&b))
(y|h)
1
1
1
1
entailment
((v&(v|y))&(~((y|h))&b))
(y|h)
0
1
1
0
not entailment
((h&y)|(~((h>((y>h)|h)))&b))
~(h)
0
1
1
1
not entailment
(b&(b>y))
((b&y)|~(y))
1
0
1
0
entailment
((y&h)&((v|(v&(h>h)))&v))
((~((h>~((y|b))))|b)>v)
1
1
0
0
entailment
(b&(b>y))
((~((h>~((y|b))))|b)>v)
0
0
0
0
not entailment
((y&h)&((v|(v&(h>h)))&v))
((b&y)|~(y))
0
1
0
0
not entailment
(h&b)
(~(~(((v|v)|b)))|(y&b))
1
0
0
0
entailment
~((b|h))
((b|h)>(((h>v)|~(y))&b))
1
0
0
0
entailment
(h&b)
((b|h)>(((h>v)|~(y))&b))
0
0
0
0
not entailment
~((b|h))
(~(~(((v|v)|b)))|(y&b))
0
0
0
0
not entailment
(~((y|h))&~(y))
(~(b)>~(h))
1
1
0
0
entailment
(h&(((y|~(h))>y)&~(v)))
~(~(((~(v)>~(b))|h)))
1
1
0
0
entailment
(~((y|h))&~(y))
~(~(((~(v)>~(b))|h)))
0
0
0
0
not entailment
(h&(((y|~(h))>y)&~(v)))
(~(b)>~(h))
0
1
0
0
not entailment
((~(x)>(z&z))>z)
(x>(x&(z&x)))
1
1
1
0
entailment
(~(((x&x)|x))>z)
(z|x)
1
1
1
1
entailment
((~(x)>(z&z))>z)
(z|x)
0
1
1
0
not entailment
(~(((x&x)|x))>z)
(x>(x&(z&x)))
0
1
1
0
not entailment
~(x)
(~((z|(((x&z)&x)|z)))>(x>~((x|(z&x)))))
1
0
0
0
entailment
~(~((~((x&~(x)))>(~(x)>x))))
(z|x)
1
1
0
0
entailment
~(x)
(z|x)
0
1
0
0
not entailment
~(~((~((x&~(x)))>(~(x)>x))))
(~((z|(((x&z)&x)|z)))>(x>~((x|(z&x)))))
0
0
0
0
not entailment
(~((z|(x|x)))|z)
(x>(z&x))
1
1
1
0
entailment
(~((x|x))>(z&~(x)))
(x|(~(z)>z))
1
1
1
1
entailment
(~((z|(x|x)))|z)
(x|(~(z)>z))
0
1
1
0
not entailment
(~((x|x))>(z&~(x)))
(x>(z&x))
0
1
1
1
not entailment
(x&((z|(x|z))&z))
(x|z)
1
1
1
1
entailment
(~(((x>(z&x))&((z>z)&(z|x))))&(x>z))
~((z&x))
1
1
1
1
entailment
(x&((z|(x|z))&z))
~((z&x))
0
1
1
0
not entailment
(~(((x>(z&x))&((z>z)&(z|x))))&(x>z))
(x|z)
0
1
1
1
not entailment
~((z>(x|x)))
(x>z)
1
1
1
1
entailment
(((x>(z>z))>x)&(x|x))
(((z|x)|~((z&x)))&(z>x))
1
0
1
0
entailment
~((z>(x|x)))
(((z|x)|~((z&x)))&(z>x))
0
0
1
0
not entailment
(((x>(z>z))>x)&(x|x))
(x>z)
0
1
1
0
not entailment
(~(~(z))|(z&z))
~(((z&~(z))|~(((z|(x&z))|x))))
1
0
0
0
entailment
(~((~(~(z))&z))&(~(z)>~(x)))
~((x|(x&(z>(z>(z>z))))))
1
1
1
1
entailment
(~(~(z))|(z&z))
~((x|(x&(z>(z>(z>z))))))
0
0
0
0
not entailment
(~((~(~(z))&z))&(~(z)>~(x)))
~(((z&~(z))|~(((z|(x&z))|x))))
0
1
1
0
not entailment
~((~(c)|(s|(~(h)>r))))
((~(~(c))>~(s))>(r>b))
1
1
0
0
entailment
((z|r)&(s&j))
((((n|n)|(j&s))|(((r&y)>r)&b))|b)
1
0
0
0
entailment
~((~(c)|(s|(~(h)>r))))
((((n|n)|(j&s))|(((r&y)>r)&b))|b)
0
0
0
0
not entailment
((z|r)&(s&j))
((~(~(c))>~(s))>(r>b))
0
0
0
0
not entailment
((((~(s)|(s&b))>b)>(r&~(~(r))))&(j|h))
(~(~(~((b|h))))>~(~((~((z|j))>s))))
1
1
0
0
entailment
((c&y)&p)
(((c&y)|h)|~((z>n)))
1
0
0
0
entailment
((((~(s)|(s&b))>b)>(r&~(~(r))))&(j|h))
(((c&y)|h)|~((z>n)))
0
1
0
0
not entailment
((c&y)&p)
(~(~(~((b|h))))>~(~((~((z|j))>s))))
0
0
0
0
not entailment
~(((((b>z)>n)>(h>(c&p)))|r))
(~(((y|j)&~(~(r))))|(s&(z>y)))
1
0
0
0
entailment
~((p|((s&(n&~(~((b&j)))))>y)))
(((z>c)|(c&~((r&n))))>b)
1
1
0
0
entailment
~(((((b>z)>n)>(h>(c&p)))|r))
(((z>c)|(c&~((r&n))))>b)
0
1
1
0
not entailment
~((p|((s&(n&~(~((b&j)))))>y)))
(~(((y|j)&~(~(r))))|(s&(z>y)))
0
1
0
0
not entailment
(~((~(h)|(s&(z|c))))|h)
(r|(z>h))
1
1
0
0
entailment
((s&y)&(j&((((b>y)&b)&((h>z)&(s|z)))&b)))
(r|s)
1
1
0
0
entailment
(~((~(h)|(s&(z|c))))|h)
(r|s)
0
1
0
0
not entailment
((s&y)&(j&((((b>y)&b)&((h>z)&(s|z)))&b)))
(r|(z>h))
0
1
0
0
not entailment
((j&c)&((p&r)&(s|(z|y))))
(y|~(~(((c&z)|(b|p)))))
1
1
0
0
entailment
~((j>~((z&(y>(n&((n|h)>h)))))))
(z|((b>h)&((z>r)>n)))
1
1
0
0
entailment
((j&c)&((p&r)&(s|(z|y))))
(z|((b>h)&((z>r)>n)))
0
1
0
0
not entailment
~((j>~((z&(y>(n&((n|h)>h)))))))
(y|~(~(((c&z)|(b|p)))))
0
1
0
0
not entailment
~(((~(z)|(n&(n&h)))>h))
((z&n)>c)
1
1
0
0
entailment
(j&(~((((c>y)|(y>~(c)))|(y|j)))|s))
~((~((b>s))&(n|h)))
1
1
0
0
entailment
~(((~(z)|(n&(n&h)))>h))
~((~((b>s))&(n|h)))
0
1
0
0
not entailment
(j&(~((((c>y)|(y>~(c)))|(y|j)))|s))
((z&n)>c)
0
1
0
0
not entailment
~(b)
(~((j&(h&b)))|p)
1
0
0
0
entailment
((s|(s&j))&(y>(((p&h)>(s&p))&((c>p)>s))))
(s|r)
1
1
0
0
entailment
~(b)
(s|r)
0
1
0
0
not entailment
((s|(s&j))&(y>(((p&h)>(s&p))&((c>p)>s))))
(~((j&(h&b)))|p)
0
1
0
0
not entailment
~(((~(((j>(n&n))>s))|(z|y))>j))
((j>s)|c)
1
1
0
0
entailment
(h&(j>n))
(~(~((n&(n|y))))>(~(((z|h)|b))>j))
1
0
0
0
entailment
~(((~(((j>(n&n))>s))|(z|y))>j))
(~(~((n&(n|y))))>(~(((z|h)|b))>j))
0
0
0
0
not entailment
(h&(j>n))
((j>s)|c)
0
1
0
0
not entailment
(s&(b|s))
((n|(c|s))|~((s>(~(~(y))>(z|s)))))
1
0
0
0
entailment
~(((s|s)&s))
(((r|h)|~(s))|(p|(~((r|b))>y)))
1
0
0
0
entailment
(s&(b|s))
(((r|h)|~(s))|(p|(~((r|b))>y)))
0
0
0
0
not entailment
~(((s|s)&s))
((n|(c|s))|~((s>(~(~(y))>(z|s)))))
0
0
0
0
not entailment
(((b|(y&h))>h)&(r&b))
(((~((~(z)&y))&r)|(y|j))&r)
1
0
0
0
entailment
(y&s)
(c|(r>(((z&y)>n)>s)))
1
0
0
0
entailment
(((b|(y&h))>h)&(r&b))
(c|(r>(((z&y)>n)>s)))
0
1
0
0
not entailment
(y&s)
(((~((~(z)&y))&r)|(y|j))&r)
0
0
0
0
not entailment
(((h|h)&(((z&h)>(y|y))>s))&p)
(~((s>(z>z)))|((b&h)|h))
1
1
0
0
entailment