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
~((~(~(s))|~(b)))
(h|b)
1
1
0
0
entailment
~(((o>c)|(~(~(w))&f)))
(h|b)
0
1
0
0
not entailment
~((~(~(s))|~(b)))
((v>z)|(o|((o|w)|(v&w))))
0
0
0
0
not entailment
(((v|s)|((~((c&h))|a)>~(v)))>b)
((b|~((w&(~(b)|c))))|b)
1
1
0
0
entailment
(c&((h&s)>((s&c)>a)))
((~(~(f))&w)>~((~(c)&o)))
1
0
0
0
entailment
(((v|s)|((~((c&h))|a)>~(v)))>b)
((~(~(f))&w)>~((~(c)&o)))
0
1
0
0
not entailment
(c&((h&s)>((s&c)>a)))
((b|~((w&(~(b)|c))))|b)
0
0
0
0
not entailment
~(~((((z&(((s|c)|c)&b))&h)|b)))
((z>~(v))>b)
1
1
0
0
entailment
~((h>~(~((a&o)))))
((s|v)|(((f|h)|a)|z))
1
1
0
0
entailment
~(~((((z&(((s|c)|c)&b))&h)|b)))
((s|v)|(((f|h)|a)|z))
0
1
0
0
not entailment
~((h>~(~((a&o)))))
((z>~(v))>b)
0
1
0
0
not entailment
((z|((h&b)>z))&f)
(f|b)
1
1
1
0
entailment
~(~(((s&z)&h)))
~(((c&~(v))&~(h)))
1
0
0
0
entailment
((z|((h&b)>z))&f)
~(((c&~(v))&~(h)))
0
0
0
0
not entailment
~(~(((s&z)&h)))
(f|b)
0
1
0
0
not entailment
((a&b)&(~(~(~(z)))|(w&c)))
((f>((h&(b|h))|v))|((w>b)|(c&w)))
1
0
0
0
entailment
((a>c)&((c>(c&~(b)))&~(s)))
((s&(h>v))>((f&v)|((h|o)|((h&s)|f))))
1
0
0
0
entailment
((a&b)&(~(~(~(z)))|(w&c)))
((s&(h>v))>((f&v)|((h|o)|((h&s)|f))))
0
0
0
0
not entailment
((a>c)&((c>(c&~(b)))&~(s)))
((f>((h&(b|h))|v))|((w>b)|(c&w)))
0
0
0
0
not entailment
(((b&~(f))|((c|a)>w))>(s&a))
((z>(c|v))|(a|((z>o)|c)))
1
1
0
0
entailment
~((~(b)|(((o&w)&(b>h))|((z|s)>h))))
(((((f|(w&c))&c)>w)>b)|v)
1
1
0
0
entailment
(((b&~(f))|((c|a)>w))>(s&a))
(((((f|(w&c))&c)>w)>b)|v)
0
1
0
0
not entailment
~((~(b)|(((o&w)&(b>h))|((z|s)>h))))
((z>(c|v))|(a|((z>o)|c)))
0
1
0
0
not entailment
~(~(~((((c>c)|h)>a))))
~((a&((z|(f&(v|s)))|~((b>(w&a))))))
1
0
0
0
entailment
((a>((((s>f)&b)>w)&~((a&b))))&(s&(c&h)))
((s|f)|(f&(s&((o&z)&s))))
1
1
0
0
entailment
~(~(~((((c>c)|h)>a))))
((s|f)|(f&(s&((o&z)&s))))
0
1
0
0
not entailment
((a>((((s>f)&b)>w)&~((a&b))))&(s&(c&h)))
~((a&((z|(f&(v|s)))|~((b>(w&a))))))
0
1
0
0
not entailment
(v&((i&v)&(i|i)))
((i|i)&(v>(v&((i&i)&i))))
1
0
1
0
entailment
((~(v)&v)|(~(~((v|(i|(v|i)))))&~(i)))
~(~(~(((~((~((v&i))>v))|(v&v))&i))))
1
1
1
1
entailment
(v&((i&v)&(i|i)))
~(~(~(((~((~((v&i))>v))|(v&v))&i))))
0
0
1
0
not entailment
((~(v)&v)|(~(~((v|(i|(v|i)))))&~(i)))
((i|i)&(v>(v&((i&i)&i))))
0
1
1
1
not entailment
((v|((v&v)|i))&v)
(~(~((v>~(v))))>(((i&~(~(i)))|v)&v))
1
0
1
1
entailment
(i&~(v))
~(v)
1
1
1
1
entailment
((v|((v&v)|i))&v)
~(v)
0
1
1
0
not entailment
(i&~(v))
(~(~((v>~(v))))>(((i&~(~(i)))|v)&v))
0
0
1
0
not entailment
((v>i)>(v|v))
(~((i&v))>v)
1
1
1
0
entailment
~(~(~(((v>(~((i&v))&i))>(v|(v|i))))))
~((v|i))
1
1
1
1
entailment
((v>i)>(v|v))
~((v|i))
0
1
1
0
not entailment
~(~(~(((v>(~((i&v))&i))>(v|(v|i))))))
(~((i&v))>v)
0
1
1
0
not entailment
(~(i)>i)
(i|(v&v))
1
1
0
0
entailment
(~((i>i))|((v|i)>v))
((v>(i&(i|i)))>((((v&i)>i)&(i|i))>v))
1
0
1
1
entailment
(~(i)>i)
((v>(i&(i|i)))>((((v&i)>i)&(i|i))>v))
0
0
0
0
not entailment
(~((i>i))|((v|i)>v))
(i|(v&v))
0
1
1
1
not entailment
((i>v)&(v&(~((~(i)&i))>v)))
(~((v&v))>v)
1
1
1
1
entailment
~((v|i))
~(~(((((i|(i>v))&i)|i)|((v&v)>i))))
1
0
1
0
entailment
((i>v)&(v&(~((~(i)&i))>v)))
~(~(((((i|(i>v))&i)|i)|((v&v)>i))))
0
0
1
0
not entailment
~((v|i))
(~((v&v))>v)
0
0
1
0
not entailment
~(i)
((i>~((~((~(i)|(v|i)))>i)))|(v&v))
1
0
0
0
entailment
(i|(v&i))
((i&(v|i))|(v&(v|i)))
1
0
1
1
entailment
~(i)
((i&(v|i))|(v&(v|i)))
0
0
0
0
not entailment
(i|(v&i))
((i>~((~((~(i)|(v|i)))>i)))|(v&v))
0
0
1
0
not entailment
(~(((((v&(i&v))&(v|i))|~(v))|i))|v)
(v|((v|((i>v)|i))&(~(i)>(v&(i&i)))))
1
1
1
0
entailment
(~((v|((v>v)>((v>i)&i))))|(i|i))
(((i|i)&(v>(i&v)))|(~(i)>~(((v|v)|v))))
1
0
1
1
entailment
(~(((((v&(i&v))&(v|i))|~(v))|i))|v)
(((i|i)&(v>(i&v)))|(~(i)>~(((v|v)|v))))
0
0
1
0
not entailment
(~((v|((v>v)>((v>i)&i))))|(i|i))
(v|((v|((i>v)|i))&(~(i)>(v&(i&i)))))
0
0
1
1
not entailment
(v|(v|i))
((v>v)>((i>v)>v))
1
0
1
0
entailment
~(((i>i)&v))
~((((i&v)>~((v&~(~(v)))))&v))
1
0
1
0
entailment
(v|(v|i))
~((((i&v)>~((v&~(~(v)))))&v))
0
0
1
0
not entailment
~(((i>i)&v))
((v>v)>((i>v)>v))
0
0
1
0
not entailment
(~((~(((i&i)|(~(i)>i)))&v))&(i&v))
(i>v)
1
1
1
0
entailment
~((i&v))
~(((v&(i&(v|v)))&v))
1
0
1
1
entailment
(~((~(((i&i)|(~(i)>i)))&v))&(i&v))
~(((v&(i&(v|v)))&v))
0
1
1
0
not entailment
~((i&v))
(i>v)
0
1
1
0
not entailment
(~((i|(v>i)))|(~(v)&(v&v)))
(~(v)>v)
1
1
1
1
entailment
((v>v)&i)
((i|((v|v)>i))&(i|i))
1
0
1
1
entailment
(~((i|(v>i)))|(~(v)&(v&v)))
((i|((v|v)>i))&(i|i))
0
1
1
0
not entailment
((v>v)&i)
(~(v)>v)
0
1
1
1
not entailment
(v&~(((v&v)&i)))
~(~((v&((i>v)|(i>v)))))
1
0
1
1
entailment
((~((((i|i)&(i|i))|(i&~(i))))|v)&~(v))
(~((v|~((i|~(~(~(v)))))))&~((v&i)))
1
1
1
1
entailment
(v&~(((v&v)&i)))
(~((v|~((i|~(~(~(v)))))))&~((v&i)))
0
0
1
0
not entailment
((~((((i|i)&(i|i))|(i&~(i))))|v)&~(v))
~(~((v&((i>v)|(i>v)))))
0
1
1
1
not entailment
(~(((v>v)|i))|~(~((i&i))))
(((((i>i)|i)>i)>v)>v)
1
1
1
1
entailment
(i>~(~((v&~(i)))))
(v>~(i))
1
1
1
0
entailment
(~(((v>v)|i))|~(~((i&i))))
(v>~(i))
0
1
1
1
not entailment
(i>~(~((v&~(i)))))
(((((i>i)|i)>i)>v)>v)
0
1
1
0
not entailment
(((n|(i|n))&v)&((v&a)&a))
(~(((k>(n&a))|(v|(v&k))))>((k&p)&a))
1
0
0
0
entailment
(~((n&(n&a)))&((k|a)&~((y>f))))
~((f&v))
1
1
0
0
entailment
(((n|(i|n))&v)&((v&a)&a))
~((f&v))
0
1
0
0
not entailment
(~((n&(n&a)))&((k|a)&~((y>f))))
(~(((k>(n&a))|(v|(v&k))))>((k&p)&a))
0
0
0
0
not entailment
(n&((n>~((y&(v>(n>p)))))|n))
(((y&(k|a))|(a>n))|v)
1
1
0
0
entailment
((~(~(f))&i)&a)
(f|((((y>p)>k)>(f&n))&(f&(n>i))))
1
0
0
0
entailment
(n&((n>~((y&(v>(n>p)))))|n))
(f|((((y>p)>k)>(f&n))&(f&(n>i))))
0
0
0
0
not entailment
((~(~(f))&i)&a)
(((y&(k|a))|(a>n))|v)
0
0
0
0
not entailment
(((~((~(i)>y))>(a>~(k)))&y)&(k&a))
(y|i)
1
1
1
1
entailment
~(((n>n)>(p>a)))
((~(f)|~((i&a)))|v)
1
0
0
0
entailment
(((~((~(i)>y))>(a>~(k)))&y)&(k&a))
((~(f)|~((i&a)))|v)
0
1
0
0
not entailment
~(((n>n)>(p>a)))
(y|i)
0
1
0
0
not entailment
((y|k)&((y&p)&(a&i)))
((~((v&v))|~(((a|f)|~(p))))|(i>p))
1
0
0
0
entailment
(((v&n)&(n>i))&((p>p)&((~(n)>v)|n)))
((f>n)|(~(y)&(v&(k&i))))
1
1
0
0
entailment
((y|k)&((y&p)&(a&i)))
((f>n)|(~(y)&(v&(k&i))))
0
0
0
0
not entailment
(((v&n)&(n>i))&((p>p)&((~(n)>v)|n)))
((~((v&v))|~(((a|f)|~(p))))|(i>p))
0
1
0
0
not entailment
((~((f>(a|y)))|n)&((a|f)>y))
(((n|i)|i)|n)
1
1
0
0
entailment
(k&v)
(k|((((a&(i|y))&~(k))>(n&i))|p))
1
0
0
0
entailment
((~((f>(a|y)))|n)&((a|f)>y))
(k|((((a&(i|y))&~(k))>(n&i))|p))
0
0
0
0
not entailment
(k&v)
(((n|i)|i)|n)
0
0
0
0
not entailment
~(((y|p)>p))
(~((~(i)>(~((a&v))>y)))|((v>(y|y))|f))
1
0
0
0
entailment
~((~((i>((v>y)&i)))|(k>(f&~(k)))))
((k&y)|k)
1
1
1
1
entailment
~(((y|p)>p))
((k&y)|k)
0
1
0
0
not entailment
~((~((i>((v>y)&i)))|(k>(f&~(k)))))
(~((~(i)>(~((a&v))>y)))|((v>(y|y))|f))
0
0
0
0
not entailment
((~(~(k))>~(((i>p)&v)))&~((i&n)))
((y&((v>(p|a))&(i&n)))>(~((y>k))>v))
1
1
0
0
entailment