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|h)|v))&~((w>w)))|(c>w)))
((v>w)>c)
1
1
1
1
entailment
(((~(~((h|h)))&((h>(s>e))>(p&h)))&e)&v)
((v>w)>c)
0
1
0
0
not entailment
~(((~(((h|h)|v))&~((w>w)))|(c>w)))
(((h&h)>((v&p)&p))|s)
0
1
0
0
not entailment
((((((c&p)&s)&s)&(h|e))&p)&c)
((c&~(p))>(c>s))
1
1
1
0
entailment
(((p>p)>e)&(~((w|~(h)))|h))
(~(~((s|(h>e))))>(e&e))
1
1
0
0
entailment
((((((c&p)&s)&s)&(h|e))&p)&c)
(~(~((s|(h>e))))>(e&e))
0
1
1
0
not entailment
(((p>p)>e)&(~((w|~(h)))|h))
((c&~(p))>(c>s))
0
1
0
0
not entailment
~(((s>~(h))|c))
~(((e&(p&h))&(c&c)))
1
0
0
0
entailment
~((~(~(~((((e>h)>w)>~(e)))))>~(c)))
((h|(p&c))>(e|((c|v)>e)))
1
1
0
0
entailment
~(((s>~(h))|c))
((h|(p&c))>(e|((c|v)>e)))
0
0
0
0
not entailment
~((~(~(~((((e>h)>w)>~(e)))))>~(c)))
~(((e&(p&h))&(c&c)))
0
1
0
0
not entailment
~((c>((p|(v&e))>h)))
(w|c)
1
1
0
0
entailment
((s>v)&(v&s))
(~((s&((p&w)|(e|s))))>~(w))
1
0
0
0
entailment
~((c>((p|(v&e))>h)))
(~((s&((p&w)|(e|s))))>~(w))
0
0
0
0
not entailment
((s>v)&(v&s))
(w|c)
0
1
0
0
not entailment
(~((~(p)>~((s>((s|v)|w)))))&(c&s))
((w>c)&(p>s))
1
1
1
0
entailment
((e&e)&w)
((s|w)>(s>(w|e)))
1
0
0
0
entailment
(~((~(p)>~((s>((s|v)|w)))))&(c&s))
((s|w)>(s>(w|e)))
0
1
0
0
not entailment
((e&e)&w)
((w>c)&(p>s))
0
0
0
0
not entailment
~((~(~(p))>((~(e)>c)>((h&~(c))|v))))
((c&~(~(h)))|((s>p)|((w>c)&c)))
1
1
0
0
entailment
~((v>c))
~((c&(v>c)))
1
0
1
1
entailment
~((~(~(p))>((~(e)>c)>((h&~(c))|v))))
~((c&(v>c)))
0
1
1
0
not entailment
~((v>c))
((c&~(~(h)))|((s>p)|((w>c)&c)))
0
0
0
0
not entailment
(e&c)
((~(~(e))>w)>w)
1
0
0
0
entailment
((s|(w|((w&(p|w))>c)))>(c&s))
((w&s)|(s&s))
1
1
1
1
entailment
(e&c)
((w&s)|(s&s))
0
0
0
0
not entailment
((s|(w|((w&(p|w))>c)))>(c&s))
((~(~(e))>w)>w)
0
1
0
0
not entailment
((j&(n&i))&~((c&~(((a&a)&a)))))
(a|~(((c&i)&n)))
1
1
1
0
entailment
((j&i)&((a>i)&(j>~(~(s)))))
~(~(s))
1
1
1
1
entailment
((j&(n&i))&~((c&~(((a&a)&a)))))
~(~(s))
0
1
0
0
not entailment
((j&i)&((a>i)&(j>~(~(s)))))
(a|~(((c&i)&n)))
0
1
0
0
not entailment
~(~(a))
(s>(a|a))
1
1
0
0
entailment
~(((i|~((~(~(s))&c)))|j))
(~((a|n))|((a>s)|(j>n)))
1
1
0
0
entailment
~(~(a))
(~((a|n))|((a>s)|(j>n)))
0
0
0
0
not entailment
~(((i|~((~(~(s))&c)))|j))
(s>(a|a))
0
1
0
0
not entailment
~(~((a&((c|j)>(i|a)))))
~(~((((i>a)>s)>(i>s))))
1
1
0
0
entailment
((s>s)>n)
(((j|n)|((s&n)|(n&s)))|c)
1
0
0
0
entailment
~(~((a&((c|j)>(i|a)))))
(((j|n)|((s&n)|(n&s)))|c)
0
1
0
0
not entailment
((s>s)>n)
~(~((((i>a)>s)>(i>s))))
0
0
0
0
not entailment
((((n|c)|j)|~((~((j&j))&(j|a))))&(j|n))
(~(((a&c)>(~(n)>j)))>(j&j))
1
1
1
0
entailment
((c|~(s))&i)
((((c&(a|a))>(n>~(a)))>~((c|i)))|i)
1
0
0
0
entailment
((((n|c)|j)|~((~((j&j))&(j|a))))&(j|n))
((((c&(a|a))>(n>~(a)))>~((c|i)))|i)
0
1
0
0
not entailment
((c|~(s))&i)
(~(((a&c)>(~(n)>j)))>(j&j))
0
0
0
0
not entailment
~(((a|j)&(~(~((((c&j)>i)>i)))>c)))
((a|n)>(((j&i)|s)|(((c>a)>s)|(j>~(n)))))
1
0
0
0
entailment
(n&(c&(((i>j)|~(c))|((a&a)&(s>a)))))
(((n|(j&j))&~(~(~(j))))|n)
1
1
1
0
entailment
~(((a|j)&(~(~((((c&j)>i)>i)))>c)))
(((n|(j&j))&~(~(~(j))))|n)
0
1
0
0
not entailment
(n&(c&(((i>j)|~(c))|((a&a)&(s>a)))))
((a|n)>(((j&i)|s)|(((c>a)>s)|(j>~(n)))))
0
0
1
0
not entailment
~(~((n&i)))
(a|i)
1
1
0
0
entailment
~((~((a>j))|(c|(j>n))))
~(c)
1
1
1
1
entailment
~(~((n&i)))
~(c)
0
1
0
0
not entailment
~((~((a>j))|(c|(j>n))))
(a|i)
0
1
0
0
not entailment
((((~(n)&j)>j)&(a&~(s)))&~(i))
(a|(s&s))
1
1
1
0
entailment
((~((s&a))&~(((s>j)&n)))|(c|c))
((j|(n&~(c)))>((c|j)|s))
1
1
1
0
entailment
((((~(n)&j)>j)&(a&~(s)))&~(i))
((j|(n&~(c)))>((c|j)|s))
0
1
0
0
not entailment
((~((s&a))&~(((s>j)&n)))|(c|c))
(a|(s&s))
0
1
1
0
not entailment
(n&(((i&s)|s)|((c>(j>(n>i)))&n)))
(~(~((s|s)))>((a&a)>n))
1
1
0
0
entailment
(~(((j>i)|i))&((i|c)>~(a)))
(i>j)
1
1
1
1
entailment
(n&(((i&s)|s)|((c>(j>(n>i)))&n)))
(i>j)
0
1
1
0
not entailment
(~(((j>i)|i))&((i|c)>~(a)))
(~(~((s|s)))>((a&a)>n))
0
1
0
0
not entailment
(~((i|~((n&(n>a)))))&c)
((~(a)&(j|s))>(i|~((n>s))))
1
0
0
0
entailment
((((s|a)&c)>a)&((j&n)&s))
(n>s)
1
1
1
0
entailment
(~((i|~((n&(n>a)))))&c)
(n>s)
0
1
0
0
not entailment
((((s|a)&c)>a)&((j&n)&s))
((~(a)&(j|s))>(i|~((n>s))))
0
0
0
0
not entailment
~((n|j))
(~(((j>i)|c))>(a&j))
1
0
0
0
entailment
~(~(~(s)))
~(~(((s&c)>~((s&~(~((j|c))))))))
1
0
0
0
entailment
~((n|j))
~(~(((s&c)>~((s&~(~((j|c))))))))
0
0
0
0
not entailment
~(~(~(s)))
(~(((j>i)|c))>(a&j))
0
0
0
0
not entailment
(i&j)
~(~((j>i)))
1
0
1
0
entailment
~((n>(~(~((n&(j>n))))&(c|i))))
(i>(c|c))
1
1
1
0
entailment
(i&j)
(i>(c|c))
0
0
0
0
not entailment
~((n>(~(~((n&(j>n))))&(c|i))))
~(~((j>i)))
0
1
1
0
not entailment
~(((n>c)|((a>s)&(i|(j|s)))))
((c|j)>(~(i)>(a|j)))
1
1
1
0
entailment
((~(~(a))&c)|c)
((c>i)>c)
1
1
0
0
entailment
~(((n>c)|((a>s)&(i|(j|s)))))
((c>i)>c)
0
1
1
0
not entailment
((~(~(a))&c)|c)
((c|j)>(~(i)>(a|j)))
0
0
0
0
not entailment
(n&c)
((~((a&((n|i)&i)))|~(~(i)))>((i&i)>n))
1
0
0
0
entailment
((i&a)&s)
~(~(i))
1
1
1
1
entailment
(n&c)
~(~(i))
0
0
0
0
not entailment
((i&a)&s)
((~((a&((n|i)&i)))|~(~(i)))>((i&i)>n))
0
0
0
0
not entailment
((((s|(j&j))&n)>(((i>a)&(n>~(s)))>a))&c)
(((a>i)>(n>a))|(s|c))
1
1
1
0
entailment
~((((i|n)&s)|~(n)))
~(~(((~(((a>s)&s))>i)>(i|(i&j)))))
1
0
0
0
entailment
((((s|(j&j))&n)>(((i>a)&(n>~(s)))>a))&c)
~(~(((~(((a>s)&s))>i)>(i|(i&j)))))
0
1
1
0
not entailment
~((((i|n)&s)|~(n)))
(((a>i)>(n>a))|(s|c))
0
1
0
0
not entailment
~((((~(j)>i)|a)>(j>((i|s)|~((j>n))))))
(((n|j)|~(((n|s)>(a|i))))|s)
1
1
1
0
entailment
~(n)
(n>~(a))
1
0
0
0
entailment
~((((~(j)>i)|a)>(j>((i|s)|~((j>n))))))
(n>~(a))
0
1
1
0
not entailment
~(n)
(((n|j)|~(((n|s)>(a|i))))|s)
0
0
0
0
not entailment
(((c&(c&a))|(n|s))&((~(s)|~(s))&i))
((c>~(~((s>i))))&((c&(s&s))>j))
1
1
0
0
entailment
~((a|a))
~(~(((i&(a|a))>s)))
1
0
0
0
entailment
(((c&(c&a))|(n|s))&((~(s)|~(s))&i))
~(~(((i&(a|a))>s)))
0
1
1
0
not entailment
~((a|a))
((c>~(~((s>i))))&((c&(s&s))>j))
0
0
0
0
not entailment
(y&i)
(((c>c)>y)|y)
1
0
0
0
entailment
(((i>(i&c))&c)|c)
(c|(((i>c)&(c&i))&(y|i)))
1
0
0
0
entailment
(y&i)
(c|(((i>c)&(c&i))&(y|i)))
0
0
0
0
not entailment
(((i>(i&c))&c)|c)
(((c>c)>y)|y)
0
1
0
0
not entailment
(i|(((i>(c|~(i)))|c)&c))
((y|i)|(((c&c)|y)|i))
1
1
0
0
entailment
~((~(c)&((((y|~((y&y)))>i)|c)|c)))
(i>c)
1
1
1
1
entailment
(i|(((i>(c|~(i)))|c)&c))
(i>c)
0
1
1
1
not entailment
~((~(c)&((((y|~((y&y)))>i)|c)|c)))
((y|i)|(((c&c)|y)|i))
0
1
1
0
not entailment
((c&(c&i))&i)
(~(y)|(~((i&~(i)))>i))
1
0
0
0
entailment