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
~(~(m))
(((m|m)&((m|m)|(m|~(m))))&m)
1
0
1
0
entailment
~((~(m)>m))
~(((((m&m)>m)>(m>(m&m)))&(m&(m&m))))
1
0
1
0
entailment
~(~(m))
~(((((m&m)>m)>(m>(m&m)))&(m&(m&m))))
0
0
1
0
not entailment
~((~(m)>m))
(((m|m)&((m|m)|(m|~(m))))&m)
0
0
1
0
not entailment
~(~((u|((u&o)|(h&u)))))
(j|u)
1
1
0
0
entailment
(((x|j)&k)&((k|h)&y))
((o>~(h))>y)
1
1
0
0
entailment
~(~((u|((u&o)|(h&u)))))
((o>~(h))>y)
0
1
0
0
not entailment
(((x|j)&k)&((k|h)&y))
(j|u)
0
1
0
0
not entailment
(((k&u)>(y>h))&(z&(z&(a&(y>a)))))
((z|u)|~((o>h)))
1
1
0
0
entailment
(~((((j|(x&k))|(~(z)>u))|j))|k)
~(~(((z&o)>k)))
1
1
0
0
entailment
(((k&u)>(y>h))&(z&(z&(a&(y>a)))))
~(~(((z&o)>k)))
0
1
0
0
not entailment
(~((((j|(x&k))|(~(z)>u))|j))|k)
((z|u)|~((o>h)))
0
1
0
0
not entailment
(a&y)
((o>((k&(k&~(a)))&(~(u)&(h>k))))>a)
1
0
0
0
entailment
~((o|(a|j)))
((a>u)|u)
1
1
0
0
entailment
(a&y)
((a>u)|u)
0
0
0
0
not entailment
~((o|(a|j)))
((o>((k&(k&~(a)))&(~(u)&(h>k))))>a)
0
0
0
0
not entailment
~((~((y&z))>((z|y)>((y>~(h))&z))))
(((y|u)|(o|k))|u)
1
1
0
0
entailment
~(~(((~((j|(h|k)))&a)&z)))
(((~(~(~(h)))|o)&h)>~(~(u)))
1
0
0
0
entailment
~((~((y&z))>((z|y)>((y>~(h))&z))))
(((~(~(~(h)))|o)&h)>~(~(u)))
0
1
0
0
not entailment
~(~(((~((j|(h|k)))&a)&z)))
(((y|u)|(o|k))|u)
0
1
0
0
not entailment
~(~(j))
(~((z&x))>(((k>u)|(o>j))|~((u>x))))
1
0
0
0
entailment
(((~(k)&(y|j))>j)&k)
(((y|(z|u))|(o|(y|k)))|x)
1
0
0
0
entailment
~(~(j))
(((y|(z|u))|(o|(y|k)))|x)
0
0
0
0
not entailment
(((~(k)&(y|j))>j)&k)
(~((z&x))>(((k>u)|(o>j))|~((u>x))))
0
0
0
0
not entailment
(~(((j&~(a))&u))&h)
((((~(o)&x)&o)|o)>(j>h))
1
0
0
0
entailment
(~(~(~(((a>h)|x))))&~(z))
(a|~(k))
1
1
0
0
entailment
(~(((j&~(a))&u))&h)
(a|~(k))
0
1
0
0
not entailment
(~(~(~(((a>h)|x))))&~(z))
((((~(o)&x)&o)|o)>(j>h))
0
1
0
0
not entailment
(z&(x&h))
(((k|u)|((h>z)|(a&~(u))))>(x>(h|z)))
1
0
0
0
entailment
(((~(((z|u)&(o|x)))>x)>~(~((a|a))))>j)
(~(((h|j)&((y|j)&~(j))))|(~(a)|u))
1
1
0
0
entailment
(z&(x&h))
(~(((h|j)&((y|j)&~(j))))|(~(a)|u))
0
0
0
0
not entailment
(((~(((z|u)&(o|x)))>x)>~(~((a|a))))>j)
(((k|u)|((h>z)|(a&~(u))))>(x>(h|z)))
0
1
0
0
not entailment
((y&o)&(~((k>h))>~((z&u))))
(a>o)
1
1
0
0
entailment
(((a&x)&u)&(o>o))
((x&y)>((((z|o)>z)>(a|(u|k)))|~((y>y))))
1
0
0
0
entailment
((y&o)&(~((k>h))>~((z&u))))
((x&y)>((((z|o)>z)>(a|(u|k)))|~((y>y))))
0
0
0
0
not entailment
(((a&x)&u)&(o>o))
(a>o)
0
1
1
0
not entailment
~(~(~(~(~(~((x|x)))))))
((((y|z)&(k>y))|k)|(u|x))
1
1
0
0
entailment
(~(((j&(h>a))>~(j)))&(y>(o|j)))
~(((~((h>j))&o)&~((u&z))))
1
1
0
0
entailment
~(~(~(~(~(~((x|x)))))))
~(((~((h>j))&o)&~((u&z))))
0
1
0
0
not entailment
(~(((j&(h>a))>~(j)))&(y>(o|j)))
((((y|z)&(k>y))|k)|(u|x))
0
1
0
0
not entailment
~((a|~(~(h))))
(~(j)>(x>((u&a)>(h&y))))
1
0
0
0
entailment
~(~(~(((o&(~((a>a))>a))>(y&(o&k))))))
(y|o)
1
1
1
0
entailment
~((a|~(~(h))))
(y|o)
0
1
0
0
not entailment
~(~(~(((o&(~((a>a))>a))>(y&(o&k))))))
(~(j)>(x>((u&a)>(h&y))))
0
1
0
0
not entailment
~(((u|z)>((h>(x>x))>(j|x))))
~(~(((x>u)|(u&h))))
1
1
1
0
entailment
~(((((z>u)>(k>j))>h)|j))
~(((h&z)|j))
1
1
1
0
entailment
~(((u|z)>((h>(x>x))>(j|x))))
~(((h&z)|j))
0
1
1
0
not entailment
~(((((z>u)>(k>j))>h)|j))
~(~(((x>u)|(u&h))))
0
1
0
0
not entailment
(u&x)
((h|(j&k))>(~(x)|u))
1
0
0
0
entailment
~((y>((y|~((j>a)))>a)))
~((y>a))
1
1
1
1
entailment
(u&x)
~((y>a))
0
0
0
0
not entailment
~((y>((y|~((j>a)))>a)))
((h|(j&k))>(~(x)|u))
0
1
0
0
not entailment
(h&(y>z))
(h|(u|o))
1
1
0
0
entailment
(((h>(j>(((y>k)>a)>(j>u))))|h)&(k|x))
((((y&(y>u))|k)|x)|(~(u)>(~(y)&~(z))))
1
0
0
0
entailment
(h&(y>z))
((((y&(y>u))|k)|x)|(~(u)>(~(y)&~(z))))
0
0
0
0
not entailment
(((h>(j>(((y>k)>a)>(j>u))))|h)&(k|x))
(h|(u|o))
0
1
0
0
not entailment
(~(~(((j>h)&(h&(j|a)))))&(k&(x&j)))
((z&~(~(x)))>h)
1
1
0
0
entailment
~(((z>k)>(~(y)|(j|h))))
~(~((~((h&z))>(y|z))))
1
1
1
0
entailment
(~(~(((j>h)&(h&(j|a)))))&(k&(x&j)))
~(~((~((h&z))>(y|z))))
0
1
0
0
not entailment
~(((z>k)>(~(y)|(j|h))))
((z&~(~(x)))>h)
0
1
0
0
not entailment
(y&(h|(a|~(a))))
(h>y)
1
1
1
0
entailment
~(((u&(h>(o&u)))>~((y>h))))
(~((k|(a|u)))>(a&(o|x)))
1
1
0
0
entailment
(y&(h|(a|~(a))))
(~((k|(a|u)))>(a&(o|x)))
0
0
0
0
not entailment
~(((u&(h>(o&u)))>~((y>h))))
(h>y)
0
1
1
0
not entailment
(((~((((q>q)|a)&c))>p)&q)&~((a>t)))
(((a>(p>c))>(t>a))|(t&(c|a)))
1
1
1
0
entailment
~((((c&((c|p)&a))|p)>~((~((t>c))|p))))
(p|(t|~(c)))
1
1
1
1
entailment
(((~((((q>q)|a)&c))>p)&q)&~((a>t)))
(p|(t|~(c)))
0
1
1
0
not entailment
~((((c&((c|p)&a))|p)>~((~((t>c))|p))))
(((a>(p>c))>(t>a))|(t&(c|a)))
0
1
1
0
not entailment
(~(~((((t&p)|c)>(~(c)|p))))&(q&a))
~(~((q&a)))
1
1
1
1
entailment
((~(q)>~((p>(t&(t>t)))))&(c&c))
(((p>(a>t))|(c&p))|c)
1
1
0
0
entailment
(~(~((((t&p)|c)>(~(c)|p))))&(q&a))
(((p>(a>t))|(c&p))|c)
0
1
1
0
not entailment
((~(q)>~((p>(t&(t>t)))))&(c&c))
~(~((q&a)))
0
1
0
0
not entailment
((q&c)|~((~((q&c))|~(~((t|t))))))
~(~(((((t&p)>t)&c)|((p>t)>a))))
1
1
0
0
entailment
(t|t)
(((p|q)>(p|t))|~(((c&c)&q)))
1
0
0
0
entailment
((q&c)|~((~((q&c))|~(~((t|t))))))
(((p|q)>(p|t))|~(((c&c)&q)))
0
1
0
0
not entailment
(t|t)
~(~(((((t&p)>t)&c)|((p>t)>a))))
0
0
0
0
not entailment
((q&t)&p)
(q|c)
1
1
0
0
entailment
~(((p>q)|c))
~(((c&a)&q))
1
1
0
0
entailment
((q&t)&p)
~(((c&a)&q))
0
0
0
0
not entailment
~(((p>q)|c))
(q|c)
0
1
1
0
not entailment
(((~((p>a))|(a|p))|(q|(q|c)))>~(~(t)))
~(~((a>t)))
1
1
1
1
entailment
~(((q&p)>(a>~((q|q)))))
(q>(t>p))
1
1
0
0
entailment
(((~((p>a))|(a|p))|(q|(q|c)))>~(~(t)))
(q>(t>p))
0
1
1
0
not entailment
~(((q&p)>(a>~((q|q)))))
~(~((a>t)))
0
1
0
0
not entailment
(((p|a)>((t|~(q))>(q&(q|c))))|((q&c)&q))
((p&a)>(~(~((t>a)))>(q|t)))
1
1
1
0
entailment
(c>~((q>q)))
((c>a)|~((~((q&t))>~((c>(a&a))))))
1
0
0
0
entailment
(((p|a)>((t|~(q))>(q&(q|c))))|((q&c)&q))
((c>a)|~((~((q&t))>~((c>(a&a))))))
0
1
1
0
not entailment
(c>~((q>q)))
((p&a)>(~(~((t>a)))>(q|t)))
0
0
0
0
not entailment
((q|c)|(p>t))
(p>((((t&t)&q)|c)|(~((~(q)&(p>p)))|t)))
1
0
1
0
entailment
~((q|q))
~(~(((p&~(~((c>p))))>~(q))))
1
0
0
0
entailment
((q|c)|(p>t))
~(~(((p&~(~((c>p))))>~(q))))
0
0
1
0
not entailment
~((q|q))
(p>((((t&t)&q)|c)|(~((~(q)&(p>p)))|t)))
0
0
0
0
not entailment
((a>c)&~(~(~(~(((q|q)|q))))))
(~((((t>p)|(t|a))&q))>(c>(q|q)))
1
1
0
0
entailment
(((p&t)>(c|a))&~(~((~(p)&c))))
(p>t)
1
1
1
0
entailment
((a>c)&~(~(~(~(((q|q)|q))))))
(p>t)
0
1
0
0
not entailment
(((p&t)>(c|a))&~(~((~(p)&c))))
(~((((t>p)|(t|a))&q))>(c>(q|q)))
0
1
0
0
not entailment
((~(((t>t)|p))>c)&~((q>((a&a)&q))))
((~(c)&(p&~(q)))>((~(c)&(c&a))|(a&p)))
1
0
1
0
entailment
(~((a&a))&((c&((q>c)&a))|~(q)))
(q>(c&~(~(a))))
1
1
1
1
entailment
((~(((t>t)|p))>c)&~((q>((a&a)&q))))
(q>(c&~(~(a))))
0
1
1
0
not entailment
(~((a&a))&((c&((q>c)&a))|~(q)))
((~(c)&(p&~(q)))>((~(c)&(c&a))|(a&p)))
0
0
0
0
not entailment