Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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
~(((d|f)|~(x)))
((n|d)|i)
0
1
0
0
not entailment
~((~(~(~((d&(i>g)))))|(e|g)))
((~(e)>((i|e)>(v&v)))|(~(f)|v))
1
1
0
0
entailment
(j&n)
((j|~(~(~((z|d)))))|z)
1
0
0
0
entailment
~((~(~(~((d&(i>g)))))|(e|g)))
((j|~(~(~((z|d)))))|z)
0
1
0
0
not entailment
(j&n)
((~(e)>((i|e)>(v&v)))|(~(f)|v))
0
0
0
0
not entailment
(d&(~(f)&((d&(g&~(e)))&(d|v))))
(f>~(((f>v)>(e>(v>n)))))
1
1
0
0
entailment
(~(v)&~(~(z)))
((((d|x)|(x>~(x)))&v)>~(n))
1
0
0
0
entailment
(d&(~(f)&((d&(g&~(e)))&(d|v))))
((((d|x)|(x>~(x)))&v)>~(n))
0
1
0
0
not entailment
(~(v)&~(~(z)))
(f>~(((f>v)>(e>(v>n)))))
0
0
0
0
not entailment
(i&(d&~(~(((x&j)&(z>(n|i)))))))
(((g>j)>n)>(~(~((g|(d|x))))&j))
1
1
0
0
entailment
((i>~((i>x)))&~(~(((n|n)&e))))
((((d|e)>z)|e)|z)
1
1
0
0
entailment
(i&(d&~(~(((x&j)&(z>(n|i)))))))
((((d|e)>z)|e)|z)
0
1
0
0
not entailment
((i>~((i>x)))&~(~(((n|n)&e))))
(((g>j)>n)>(~(~((g|(d|x))))&j))
0
1
0
0
not entailment
((g&v)&(j&f))
((f|((n>v)>(f&(j>d))))|e)
1
0
0
0
entailment
(n&v)
(~(v)|(n&(e>n)))
1
0
0
0
entailment
((g&v)&(j&f))
(~(v)|(n&(e>n)))
0
0
0
0
not entailment
(n&v)
((f|((n>v)>(f&(j>d))))|e)
0
0
0
0
not entailment
(~(~(~((~(y)&x))))&(y&~(x)))
~(~(((y|r)|((n>m)|r))))
1
1
0
0
entailment
~(((n>b)|(((r>r)>(~(m)|(x>n)))>y)))
(~(~(((~((m&s))|(x|m))&n)))&n)
1
1
0
0
entailment
(~(~(~((~(y)&x))))&(y&~(x)))
(~(~(((~((m&s))|(x|m))&n)))&n)
0
1
0
0
not entailment
~(((n>b)|(((r>r)>(~(m)|(x>n)))>y)))
~(~(((y|r)|((n>m)|r))))
0
1
1
0
not entailment
((r&b)&~((y|(((m>r)&(m|x))|y))))
((((m>r)|(s&m))>(y>r))|n)
1
1
0
0
entailment
((((m&(n&r))>~(m))&x)&(m>(y&~(y))))
(((x|(b|y))>(y&b))|x)
1
1
0
0
entailment
((r&b)&~((y|(((m>r)&(m|x))|y))))
(((x|(b|y))>(y&b))|x)
0
1
1
0
not entailment
((((m&(n&r))>~(m))&x)&(m>(y&~(y))))
((((m>r)|(s&m))>(y>r))|n)
0
1
0
0
not entailment
(m&(x>s))
(m|x)
1
1
1
0
entailment
((~(((y|n)&s))|s)>(~((s&(s&b)))>(s&r)))
~(~((x>(r|(~(n)|b)))))
1
1
0
0
entailment
(m&(x>s))
~(~((x>(r|(~(n)|b)))))
0
0
0
0
not entailment
((~(((y|n)&s))|s)>(~((s&(s&b)))>(s&r)))
(m|x)
0
1
0
0
not entailment
(((r>(n>y))>b)&(x&r))
(~(~(~(~(~((y|~(n)))))))|x)
1
0
1
1
entailment
~(((x>m)>r))
((y>(b&~(b)))>(~(x)|m))
1
0
0
0
entailment
(((r>(n>y))>b)&(x&r))
((y>(b&~(b)))>(~(x)|m))
0
0
0
0
not entailment
~(((x>m)>r))
(~(~(~(~(~((y|~(n)))))))|x)
0
0
0
0
not entailment
~((x>b))
(b>~((m&(~(n)>(m|~(m))))))
1
0
0
0
entailment
(m&(x|r))
((n&(r&s))>(~((~(x)|(~(m)>x)))|m))
1
0
0
0
entailment
~((x>b))
((n&(r&s))>(~((~(x)|(~(m)>x)))|m))
0
0
0
0
not entailment
(m&(x|r))
(b>~((m&(~(n)>(m|~(m))))))
0
0
0
0
not entailment
~((y>(s|m)))
((s&(~((~(b)>b))|~((s|r))))>m)
1
0
0
0
entailment
(~((y&(y|b)))&~((((s&s)>b)&(r>y))))
~((~((n>(y>s)))|(y|y)))
1
1
0
0
entailment
~((y>(s|m)))
~((~((n>(y>s)))|(y|y)))
0
0
0
0
not entailment
(~((y&(y|b)))&~((((s&s)>b)&(r>y))))
((s&(~((~(b)>b))|~((s|r))))>m)
0
1
0
0
not entailment
((s>r)&((r>r)>b))
(b|(~(((s|(r>x))&m))|(m&n)))
1
0
0
0
entailment
~((m>y))
((m>y)>s)
1
1
0
0
entailment
((s>r)&((r>r)>b))
((m>y)>s)
0
1
0
0
not entailment
~((m>y))
(b|(~(((s|(r>x))&m))|(m&n)))
0
0
0
0
not entailment
~((((s|x)|m)|y))
(x>(((r&m)>(r>x))&(s|(y>~((x>(m&m)))))))
1
0
0
0
entailment
((n>(x&y))|b)
((~((s|x))&(n|n))>b)
1
0
0
0
entailment
~((((s|x)|m)|y))
((~((s|x))&(n|n))>b)
0
0
0
0
not entailment
((n>(x&y))|b)
(x>(((r&m)>(r>x))&(s|(y>~((x>(m&m)))))))
0
0
0
0
not entailment
((~(r)&~(~(~((m|~(s))))))&((x>m)>n))
(~((((m|n)&x)&(n>(n&r))))|n)
1
1
1
0
entailment
~((s|(n|n)))
(~((s>y))>~(~(b)))
1
0
0
0
entailment
((~(r)&~(~(~((m|~(s))))))&((x>m)>n))
(~((s>y))>~(~(b)))
0
1
0
0
not entailment
~((s|(n|n)))
(~((((m|n)&x)&(n>(n&r))))|n)
0
0
0
0
not entailment
(~((m>(m|r)))|(~((b&n))>(b&(n&y))))
(s>(n&b))
1
1
0
0
entailment
(x&m)
~(~((~(r)|m)))
1
0
0
0
entailment
(~((m>(m|r)))|(~((b&n))>(b&(n&y))))
~(~((~(r)|m)))
0
1
1
1
not entailment
(x&m)
(s>(n&b))
0
0
0
0
not entailment
(((s|(b&n))|(~(m)|r))&(((m|n)&(b|m))&n))
(x|n)
1
1
0
0
entailment
(((s>(~(n)|m))|~(r))>(b&r))
(n>(r|(y>b)))
1
1
0
0
entailment
(((s|(b&n))|(~(m)|r))&(((m|n)&(b|m))&n))
(n>(r|(y>b)))
0
1
0
0
not entailment
(((s>(~(n)|m))|~(r))>(b&r))
(x|n)
0
1
0
0
not entailment
(((r|(y&n))&x)&m)
((x|x)&(((x&x)|(m&(y>x)))>x))
1
0
1
0
entailment
(s&~(x))
((b|(x>s))|y)
1
0
0
0
entailment
(((r|(y&n))&x)&m)
((b|(x>s))|y)
0
1
0
0
not entailment
(s&~(x))
((x|x)&(((x&x)|(m&(y>x)))>x))
0
0
0
0
not entailment
((((b>y)&(r&~(~(x))))>r)>(s&(m&n)))
~(~((s|~(m))))
1
1
1
0
entailment
~(((m&~(~(r)))>b))
~(b)
1
1
1
1
entailment
((((b>y)&(r&~(~(x))))>r)>(s&(m&n)))
~(b)
0
1
1
1
not entailment
~(((m&~(~(r)))>b))
~(~((s|~(m))))
0
1
0
0
not entailment
((~(s)&(n>m))&(y|n))
(s>((s>s)>~(~(m))))
1
1
1
0
entailment
(x&b)
((y>((b>b)&b))&b)
1
0
0
0
entailment
((~(s)&(n>m))&(y|n))
((y>((b>b)&b))&b)
0
1
0
0
not entailment
(x&b)
(s>((s>s)>~(~(m))))
0
0
0
0
not entailment
~(((x|~(r))|((n>y)&~(~((y|(n&x)))))))
(~(s)>((n>s)|(x>y)))
1
1
0
0
entailment
(m&(((y|r)>n)&((x&x)>r)))
(m>(~(n)>~((r&m))))
1
1
1
0
entailment
~(((x|~(r))|((n>y)&~(~((y|(n&x)))))))
(m>(~(n)>~((r&m))))
0
1
0
0
not entailment
(m&(((y|r)>n)&((x&x)>r)))
(~(s)>((n>s)|(x>y)))
0
1
0
0
not entailment
~(((r&((~(n)&s)>b))>~(y)))
((s>((r|m)&(~(s)>n)))|(s&y))
1
1
0
0
entailment
~((x>~((~(b)>b))))
((s>x)|(x|~((y|(n&r)))))
1
0
0
0
entailment
~(((r&((~(n)&s)>b))>~(y)))
((s>x)|(x|~((y|(n&r)))))
0
1
0
0
not entailment
~((x>~((~(b)>b))))
((s>((r|m)&(~(s)>n)))|(s&y))
0
0
0
0
not entailment
~(((h|~(k))>(~(~(d))|(e|d))))
(~(i)|(e>t))
1
1
0
0
entailment
((e&i)&((t&h)>((~(~(r))&t)|d)))
(k|(i|e))
1
1
0
0
entailment
~(((h|~(k))>(~(~(d))|(e|d))))
(k|(i|e))
0
1
0
0
not entailment
((e&i)&((t&h)>((~(~(r))&t)|d)))
(~(i)|(e>t))
0
1
1
0
not entailment
(~(i)&~(~((l&(r>((y>(y|r))>e))))))
(m|(l|t))
1
1
0
0
entailment
((e&(h>e))&(((r|(k|l))&(y>d))>(~(t)|h)))
((m|m)|e)
1
1
0
0
entailment
(~(i)&~(~((l&(r>((y>(y|r))>e))))))
((m|m)|e)
0
1
0
0
not entailment
((e&(h>e))&(((r|(k|l))&(y>d))>(~(t)|h)))
(m|(l|t))
0
1
0
0
not entailment
(i&e)
((~(e)&d)>(i|l))
1
0
0
0
entailment
~(~((t&(h&((l|m)&~(~(m)))))))
(h&~(~(h)))
1
1
1
1
entailment
(i&e)
(h&~(~(h)))
0
0
0
0
not entailment
~(~((t&(h&((l|m)&~(~(m)))))))
((~(e)&d)>(i|l))
0
1
0
0
not entailment
(~(((e|e)|m))&(y>y))
(l>(m>((~(~((~(d)>d)))&(i&(i|k)))|t)))
1
0
0
0
entailment
~((l>e))
(l|y)
1
1
0
0
entailment
(~(((e|e)|m))&(y>y))
(l|y)
0
1
0
0
not entailment
~((l>e))
(l>(m>((~(~((~(d)>d)))&(i&(i|k)))|t)))
0
0
0
0
not entailment
~(((i|k)|~(~(~((i|(~(d)>h)))))))
(~(((d>y)&k))|((r>m)>~((d&(k&t)))))
1
1
0
0
entailment
(h&t)
(~(~((t|(t|k))))>(~(r)>h))
1
0
0
0
entailment
~(((i|k)|~(~(~((i|(~(d)>h)))))))
(~(~((t|(t|k))))>(~(r)>h))
0
1
0
0
not entailment