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
(d&(d&~((z|z))))
(((a>c)|d)&((p>c)|p))
1
0
0
0
entailment
~((~((p&~(~(~(d)))))|~(~((z|c)))))
(((c>x)&p)|c)
1
1
0
0
entailment
(d&(d&~((z|z))))
(((c>x)&p)|c)
0
1
0
0
not entailment
~((~((p&~(~(~(d)))))|~(~((z|c)))))
(((a>c)|d)&((p>c)|p))
0
1
0
0
not entailment
((~(z)>d)&c)
(a|(a|c))
1
1
0
0
entailment
(p|p)
(d>p)
1
1
0
0
entailment
((~(z)>d)&c)
(d>p)
0
1
0
0
not entailment
(p|p)
(a|(a|c))
0
0
0
0
not entailment
(~(z)&~((d&((d&p)&d))))
((~(d)>~(~((c>z))))>((z|(z&z))>c))
1
0
0
0
entailment
(~((d>a))|~(p))
((d>z)>((a&p)>(a&x)))
1
0
0
0
entailment
(~(z)&~((d&((d&p)&d))))
((d>z)>((a&p)>(a&x)))
0
1
0
0
not entailment
(~((d>a))|~(p))
((~(d)>~(~((c>z))))>((z|(z&z))>c))
0
0
0
0
not entailment
(((p>a)|p)>((((d|d)&x)&c)&d))
~(~((d>(x|(z|p)))))
1
1
0
0
entailment
((d>~(z))&(a&d))
(((x|d)|z)>~(~(a)))
1
0
0
0
entailment
(((p>a)|p)>((((d|d)&x)&c)&d))
(((x|d)|z)>~(~(a)))
0
1
0
0
not entailment
((d>~(z))&(a&d))
~(~((d>(x|(z|p)))))
0
0
0
0
not entailment
(~(z)&x)
(c>(x|d))
1
1
0
0
entailment
(p&(~(z)>(c|a)))
(~(((~((x|x))|z)>~(~(z))))|p)
1
0
0
0
entailment
(~(z)&x)
(~(((~((x|x))|z)>~(~(z))))|p)
0
0
0
0
not entailment
(p&(~(z)>(c|a)))
(c>(x|d))
0
1
0
0
not entailment
(d&(~(x)>p))
(x>((p>(x&~(p)))>d))
1
0
1
0
entailment
~(((z>~((a&c)))|(d&(x&x))))
(z&(c>z))
1
1
1
0
entailment
(d&(~(x)>p))
(z&(c>z))
0
1
0
0
not entailment
~(((z>~((a&c)))|(d&(x&x))))
(x>((p>(x&~(p)))>d))
0
1
0
0
not entailment
(p&d)
(z>p)
1
1
0
0
entailment
(c&x)
((c>x)|a)
1
0
0
0
entailment
(p&d)
((c>x)|a)
0
0
0
0
not entailment
(c&x)
(z>p)
0
1
0
0
not entailment
(c&p)
((p>(~((p&d))>c))>(((x|~(a))&d)|p))
1
0
0
0
entailment
~(~(((~(a)&~(c))&~(p))))
((a>z)|(~(a)&~((z>x))))
1
1
0
0
entailment
(c&p)
((a>z)|(~(a)&~((z>x))))
0
0
0
0
not entailment
~(~(((~(a)&~(c))&~(p))))
((p>(~((p&d))>c))>(((x|~(a))&d)|p))
0
0
0
0
not entailment
((x&x)&c)
(~(~((a>(p&p))))|(a>(x|p)))
1
0
0
0
entailment
(z|~(x))
~(~(((a&d)>((z>((z>c)>z))>(x>(p|z))))))
1
0
0
0
entailment
((x&x)&c)
~(~(((a&d)>((z>((z>c)>z))>(x>(p|z))))))
0
0
0
0
not entailment
(z|~(x))
(~(~((a>(p&p))))|(a>(x|p)))
0
0
0
0
not entailment
((c|~((d&p)))&p)
((c|(d>~(a)))&~(~(p)))
1
0
0
0
entailment
((~((~((x>~(d)))&d))>~(~(a)))&(a|a))
(~(~(~((x>a))))>~(d))
1
1
1
0
entailment
((c|~((d&p)))&p)
(~(~(~((x>a))))>~(d))
0
0
0
0
not entailment
((~((~((x>~(d)))&d))>~(~(a)))&(a|a))
((c|(d>~(a)))&~(~(p)))
0
1
0
0
not entailment
~((((m|~(~((r>(i&a)))))|(a>f))&(r>m)))
(((m>p)>l)|(((j&j)&p)|(r|m)))
1
1
0
0
entailment
~((j>(i|a)))
(((j&p)>((j&~(a))|m))|(~(i)&~(~(i))))
1
0
0
0
entailment
~((((m|~(~((r>(i&a)))))|(a>f))&(r>m)))
(((j&p)>((j&~(a))|m))|(~(i)&~(~(i))))
0
1
0
0
not entailment
~((j>(i|a)))
(((m>p)>l)|(((j&j)&p)|(r|m)))
0
0
0
0
not entailment
(l&(m|i))
(j>(((m>l)|p)|((r&f)&m)))
1
0
0
0
entailment
(((~(((i&i)>i))&~(l))>f)&j)
((j|p)&(j>j))
1
1
0
0
entailment
(l&(m|i))
((j|p)&(j>j))
0
0
0
0
not entailment
(((~(((i&i)>i))&~(l))>f)&j)
(j>(((m>l)|p)|((r&f)&m)))
0
1
0
0
not entailment
(((j|f)&(~((f>m))&(f|f)))&i)
(((a>r)|(f|l))>((f&r)|~(~((r>l)))))
1
0
0
0
entailment
((a&r)&((i>(j&f))&((m&p)&a)))
(f>m)
1
1
1
0
entailment
(((j|f)&(~((f>m))&(f|f)))&i)
(f>m)
0
1
1
0
not entailment
((a&r)&((i>(j&f))&((m&p)&a)))
(((a>r)|(f|l))>((f&r)|~(~((r>l)))))
0
0
0
0
not entailment
~((i|l))
~(~(((((m|j)>m)|(a&j))>(i>r))))
1
0
0
0
entailment
(i&m)
(((f&i)|(f|i))|((i|~(a))|~(m)))
1
0
0
0
entailment
~((i|l))
(((f&i)|(f|i))|((i|~(a))|~(m)))
0
0
0
0
not entailment
(i&m)
~(~(((((m|j)>m)|(a&j))>(i>r))))
0
0
0
0
not entailment
(~((a>~((p&a))))&p)
(((m|~(~(f)))|p)|(l>f))
1
0
0
0
entailment
(~((i|a))&~(r))
((((i|i)&a)&j)|~(a))
1
0
0
0
entailment
(~((a>~((p&a))))&p)
((((i|i)&a)&j)|~(a))
0
1
0
0
not entailment
(~((i|a))&~(r))
(((m|~(~(f)))|p)|(l>f))
0
0
0
0
not entailment
~((~((p>(a>i)))|((j>r)|~(m))))
(m&(l|m))
1
1
0
0
entailment
((a|(i&p))>p)
(((j&(p&(p>a)))|(f&((i|f)>a)))>p)
1
0
0
0
entailment
~((~((p>(a>i)))|((j>r)|~(m))))
(((j&(p&(p>a)))|(f&((i|f)>a)))>p)
0
1
0
0
not entailment
((a|(i&p))>p)
(m&(l|m))
0
1
0
0
not entailment
(f&((f|~(j))&p))
((j&p)|(p&f))
1
1
1
0
entailment
~((m|((i>(a>r))>p)))
~(((m&a)|m))
1
1
1
1
entailment
(f&((f|~(j))&p))
~(((m&a)|m))
0
1
0
0
not entailment
~((m|((i>(a>r))>p)))
((j&p)|(p&f))
0
1
0
0
not entailment
~((a>(r>m)))
~(m)
1
1
1
1
entailment
((p&f)&(~(((l>a)&(m>r)))&((m|l)|j)))
((r|(a&(l>l)))>((r>p)&(~(l)>((j&i)>a))))
1
0
0
0
entailment
~((a>(r>m)))
((r|(a&(l>l)))>((r>p)&(~(l)>((j&i)>a))))
0
0
0
0
not entailment
((p&f)&(~(((l>a)&(m>r)))&((m|l)|j)))
~(m)
0
1
1
0
not entailment
((p&(j>~(r)))&(r&~(i)))
~(((~((a&i))&i)&~(~(m))))
1
0
0
0
entailment
(i|i)
~(~(((p|p)>(r>i))))
1
0
0
0
entailment
((p&(j>~(r)))&(r&~(i)))
~(~(((p|p)>(r>i))))
0
1
1
0
not entailment
(i|i)
~(((~((a&i))&i)&~(~(m))))
0
0
0
0
not entailment
(m&(i&a))
(((f>(i&j))&~(i))>(l|(p&f)))
1
0
0
0
entailment
(((f>(m>(m>(j&l))))|l)&~((m|p)))
~(~((m>((l&r)|r))))
1
1
0
0
entailment
(m&(i&a))
~(~((m>((l&r)|r))))
0
0
0
0
not entailment
(((f>(m>(m>(j&l))))|l)&~((m|p)))
(((f>(i&j))&~(i))>(l|(p&f)))
0
1
0
0
not entailment
~(f)
((f&(j>f))>(~(((f>a)&i))>(l>(a|a))))
1
0
0
0
entailment
(f&((p&f)&(~((m&f))>r)))
(~(~((f>((a>f)|a))))>p)
1
1
0
0
entailment
~(f)
(~(~((f>((a>f)|a))))>p)
0
0
0
0
not entailment
(f&((p&f)&(~((m&f))>r)))
((f&(j>f))>(~(((f>a)&i))>(l>(a|a))))
0
0
0
0
not entailment
~(~(a))
(((p>a)>i)>(~((m|f))>(r|a)))
1
0
0
0
entailment
~(~(p))
(~((f|p))>((r|p)&(p|p)))
1
0
0
0
entailment
~(~(a))
(~((f|p))>((r|p)&(p|p)))
0
0
0
0
not entailment
~(~(p))
(((p>a)>i)>(~((m|f))>(r|a)))
0
0
0
0
not entailment
((f&r)|f)
(j>((l|i)|(i|f)))
1
0
0
0
entailment
((~(a)>p)&~(m))
~((a&~(((p>p)>~(m)))))
1
0
1
0
entailment
((f&r)|f)
~((a&~(((p>p)>~(m)))))
0
0
0
0
not entailment
((~(a)>p)&~(m))
(j>((l|i)|(i|f)))
0
1
0
0
not entailment
(a&((r&((f>j)|r))&(l&(r>l))))
((~(~(f))&f)|(r|~(~((a>f)))))
1
0
1
0
entailment
~((m>(~(l)&(m>(r>m)))))
(((i|j)&~(m))>~((~(l)>f)))
1
0
0
0
entailment
(a&((r&((f>j)|r))&(l&(r>l))))
(((i|j)&~(m))>~((~(l)>f)))
0
1
0
0
not entailment
~((m>(~(l)&(m>(r>m)))))
((~(~(f))&f)|(r|~(~((a>f)))))
0
0
0
0
not entailment
((~(a)|(a>(i&(l&(l&l)))))&a)
((p>r)|a)
1
1
0
0
entailment
((~(j)&f)&p)
(((l&~(m))>a)>f)
1
0
0
0
entailment
((~(a)|(a>(i&(l&(l&l)))))&a)
(((l&~(m))>a)>f)
0
1
0
0
not entailment
((~(j)&f)&p)
((p>r)|a)
0
1
0
0
not entailment