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
~((~(((a|n)>~(t)))>(n|(r&v))))
(r>n)
0
1
1
1
not entailment
(r&(a&v))
((h&a)|((m>(m|m))&(~(h)|a)))
1
0
0
0
entailment
((~(r)|t)&((n|n)>v))
(r>t)
1
1
1
1
entailment
(r&(a&v))
(r>t)
0
1
0
0
not entailment
((~(r)|t)&((n|n)>v))
((h&a)|((m>(m|m))&(~(h)|a)))
0
0
0
0
not entailment
(((~(m)>(m>s))|a)&(s>h))
(s>(~((~(v)|h))>(v&m)))
1
1
0
0
entailment
~((((r>t)&t)&t))
((((t&m)&t)>((r>(h&m))>h))|~(t))
1
0
0
0
entailment
(((~(m)>(m>s))|a)&(s>h))
((((t&m)&t)>((r>(h&m))>h))|~(t))
0
0
0
0
not entailment
~((((r>t)&t)&t))
(s>(~((~(v)|h))>(v&m)))
0
0
0
0
not entailment
(h&a)
(~((~((h|t))&(s>~((s&a)))))|n)
1
0
0
0
entailment
~((((m|m)&~(((r>~((r|r)))|(s|t))))>n))
~(t)
1
1
1
1
entailment
(h&a)
~(t)
0
1
0
0
not entailment
~((((m|m)&~(((r>~((r|r)))|(s|t))))>n))
(~((~((h|t))&(s>~((s&a)))))|n)
0
1
0
0
not entailment
(~((m|((m>(a>(v|s)))&~(t))))&(t>r))
(~(((t>v)>(m>s)))>~((r|((m|a)>(v>h)))))
1
0
0
0
entailment
(~((m&n))>(t&(n&s)))
~(~((n|a)))
1
1
0
0
entailment
(~((m|((m>(a>(v|s)))&~(t))))&(t>r))
~(~((n|a)))
0
1
0
0
not entailment
(~((m&n))>(t&(n&s)))
(~(((t>v)>(m>s)))>~((r|((m|a)>(v>h)))))
0
0
0
0
not entailment
~(~(s))
(s|~(~((r>(n&s)))))
1
0
0
0
entailment
~(((s&(s|n))|(a>~(v))))
~((~(((v>~(s))&~(s)))&r))
1
0
0
0
entailment
~(~(s))
~((~(((v>~(s))&~(s)))&r))
0
0
0
0
not entailment
~(((s&(s|n))|(a>~(v))))
(s|~(~((r>(n&s)))))
0
1
0
0
not entailment
~((y>~(~((y>(~((y|y))&y))))))
((y|y)|~(((y>y)&(y>~(y)))))
1
1
1
1
entailment
~((y&y))
~(y)
1
1
1
1
entailment
~((y>~(~((y>(~((y|y))&y))))))
~(y)
0
1
1
1
not entailment
~((y&y))
((y|y)|~(((y>y)&(y>~(y)))))
0
0
1
0
not entailment
((y>(y|y))>y)
(y&(y&y))
1
1
1
1
entailment
~((y&(((y>y)>(y|y))&(y>y))))
~(((y|(y>(y>y)))&(y&y)))
1
1
1
1
entailment
((y>(y|y))>y)
~(((y|(y>(y>y)))&(y&y)))
0
0
1
1
not entailment
~((y&(((y>y)>(y|y))&(y>y))))
(y&(y&y))
0
1
1
1
not entailment
(((y&(y>y))|(~(y)&(y|(y|(y|y)))))&y)
(y&(y&~((~(y)&y))))
1
1
1
1
entailment
~(((y|~(y))>(y&y)))
~(((y|(((y&y)>y)>y))|y))
1
0
1
1
entailment
(((y&(y>y))|(~(y)&(y|(y|(y|y)))))&y)
~(((y|(((y&y)>y)>y))|y))
0
1
1
1
not entailment
~(((y|~(y))>(y&y)))
(y&(y&~((~(y)&y))))
0
1
1
1
not entailment
((((y>(y|y))>y)|(y|y))|(y&y))
(y&~(~(y)))
1
1
1
1
entailment
(y>~((y>y)))
~((y&y))
1
1
1
1
entailment
((((y>(y|y))>y)|(y|y))|(y&y))
~((y&y))
0
1
1
1
not entailment
(y>~((y>y)))
(y&~(~(y)))
0
1
1
1
not entailment
(y&y)
(~(~(((y>y)>(~(y)|y))))>y)
1
0
1
0
entailment
~(y)
((~((y|y))&~(y))&(y>((y|y)|y)))
1
0
1
0
entailment
(y&y)
((~((y|y))&~(y))&(y>((y|y)|y)))
0
0
1
0
not entailment
~(y)
(~(~(((y>y)>(~(y)|y))))>y)
0
0
1
0
not entailment
~(((n>h)|(~(i)|d)))
(((h&b)>i)&(n|d))
1
1
0
0
entailment
((d|n)&(z|z))
~((~((s|(~(z)>v)))&~((h|b))))
1
0
0
0
entailment
~(((n>h)|(~(i)|d)))
~((~((s|(~(z)>v)))&~((h|b))))
0
0
0
0
not entailment
((d|n)&(z|z))
(((h&b)>i)&(n|d))
0
0
0
0
not entailment
(d|d)
((n&(s>((n>n)&(s&i))))|~(~(((d|n)|n))))
1
0
0
0
entailment
((v|b)&~(v))
(v>b)
1
1
1
1
entailment
(d|d)
(v>b)
0
1
0
0
not entailment
((v|b)&~(v))
((n&(s>((n>n)&(s&i))))|~(~(((d|n)|n))))
0
0
0
0
not entailment
(~(~((z>(i&b))))&(z&d))
(~(d)|z)
1
1
1
0
entailment
~((~(n)|(((z>(~(s)>n))>~(z))>b)))
(i>n)
1
1
0
0
entailment
(~(~((z>(i&b))))&(z&d))
(i>n)
0
1
0
0
not entailment
~((~(n)|(((z>(~(s)>n))>~(z))>b)))
(~(d)|z)
0
1
0
0
not entailment
~((h&~(d)))
(i|(s>(((~(i)&b)&h)>(v|d))))
1
0
0
0
entailment
~(((v>(s>(b|i)))>(~(n)>~(~(d)))))
(n>b)
1
1
1
1
entailment
~((h&~(d)))
(n>b)
0
1
0
0
not entailment
~(((v>(s>(b|i)))>(~(n)>~(~(d)))))
(i|(s>(((~(i)&b)&h)>(v|d))))
0
1
0
0
not entailment
~((b|((~((d&d))>b)&d)))
((b>(v|i))|(s>z))
1
1
0
0
entailment
(b&(~(v)|v))
((z>b)|((~(z)|((h>d)|b))|~((i>i))))
1
0
0
0
entailment
~((b|((~((d&d))>b)&d)))
((z>b)|((~(z)|((h>d)|b))|~((i>i))))
0
0
0
0
not entailment
(b&(~(v)|v))
((b>(v|i))|(s>z))
0
0
0
0
not entailment
~(((n>s)>n))
((b|~(n))>(n>(s|h)))
1
0
0
0
entailment
(~((((b|z)>(i>z))|~(i)))|i)
(s>(((~(i)&~((v|z)))|n)|i))
1
1
0
0
entailment
~(((n>s)>n))
(s>(((~(i)&~((v|z)))|n)|i))
0
0
0
0
not entailment
(~((((b|z)>(i>z))|~(i)))|i)
((b|~(n))>(n>(s|h)))
0
1
0
0
not entailment
(~(~(b))&~(h))
((v>~((h&v)))|((((n|v)>s)&s)&(~(n)&n)))
1
0
0
0
entailment
~((~(s)|i))
(z>(v|s))
1
1
0
0
entailment
(~(~(b))&~(h))
(z>(v|s))
0
1
0
0
not entailment
~((~(s)|i))
((v>~((h&v)))|((((n|v)>s)&s)&(~(n)&n)))
0
0
0
0
not entailment
(~((((d>b)&~(s))|(d>~(z))))|(h&d))
((i&((s|h)|(d|i)))|((h|d)|(b&n)))
1
1
0
0
entailment
((((~(v)&v)|n)&v)&((n>d)|~(d)))
(~(i)>v)
1
1
0
0
entailment
(~((((d>b)&~(s))|(d>~(z))))|(h&d))
(~(i)>v)
0
1
0
0
not entailment
((((~(v)&v)|n)&v)&((n>d)|~(d)))
((i&((s|h)|(d|i)))|((h|d)|(b&n)))
0
1
0
0
not entailment
(v&i)
(((s>h)|((z|(h&s))>v))|(s&d))
1
0
0
0
entailment
((n&(h>(d>(h&i))))&(n|(~(h)&s)))
((h>(d|s))|n)
1
1
1
0
entailment
(v&i)
((h>(d|s))|n)
0
0
0
0
not entailment
((n&(h>(d>(h&i))))&(n|(~(h)&s)))
(((s>h)|((z|(h&s))>v))|(s&d))
0
1
0
0
not entailment
(n&((d>~(z))>z))
((h|z)|(z&d))
1
1
0
0
entailment
(~((((s|n)&n)>((n&z)&v)))&(s|s))
((s|(~(z)|~(d)))|(i&h))
1
1
0
0
entailment
(n&((d>~(z))>z))
((s|(~(z)|~(d)))|(i&h))
0
0
0
0
not entailment
(~((((s|n)&n)>((n&z)&v)))&(s|s))
((h|z)|(z&d))
0
1
0
0
not entailment
((s&v)&~(d))
((z|s)|(((n>~(d))&b)>(b&(h&v))))
1
0
0
0
entailment
(b&~((h|d)))
(((b>h)&(n|i))|(~(b)>z))
1
0
0
0
entailment
((s&v)&~(d))
(((b>h)&(n|i))|(~(b)>z))
0
0
0
0
not entailment
(b&~((h|d)))
((z|s)|(((n>~(d))&b)>(b&(h&v))))
0
0
0
0
not entailment
~(~(((v>h)&(n|h))))
(h|(d|n))
1
1
0
0
entailment
~(s)
((s&(v&~(z)))>(v&d))
1
0
0
0
entailment
~(~(((v>h)&(n|h))))
((s&(v&~(z)))>(v&d))
0
1
0
0
not entailment
~(s)
(h|(d|n))
0
0
0
0
not entailment
~(((n&(n>d))>((i>h)&h)))
(n|~(((s&n)|d)))
1
1
0
0
entailment
((s|(s|(s>(~(d)>h))))>(~(s)&z))
~(((v>z)&s))
1
1
0
0
entailment
~(((n&(n>d))>((i>h)&h)))
~(((v>z)&s))
0
1
0
0
not entailment
((s|(s|(s>(~(d)>h))))>(~(s)&z))
(n|~(((s&n)|d)))
0
1
0
0
not entailment
((n|n)&z)
((b|v)>n)
1
1
0
0
entailment
(z&(d&(i&v)))
(i|b)
1
1
0
0
entailment
((n|n)&z)
(i|b)
0
1
0
0
not entailment
(z&(d&(i&v)))
((b|v)>n)
0
1
0
0
not entailment
~(((n&z)>~((((~(b)>i)>~(n))|(n|n)))))
((~(v)|s)>((~((s|n))|i)|z))
1
1
0
0
entailment
~((h>~(~((b&s)))))
(((b&n)&~(((h&b)&(h&n))))>((i>v)&b))
1
0
0
0
entailment
~(((n&z)>~((((~(b)>i)>~(n))|(n|n)))))
(((b&n)&~(((h&b)&(h&n))))>((i>v)&b))
0
1
0
0
not entailment