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
((((u&j)&(i|u))|e)|~(~((l&e))))
((o>e)|((o|(p>(u|(o>o))))>u))
1
1
0
0
entailment
((((i|a)>a)&(~(a)>i))&i)
((o>e)|((o|(p>(u|(o>o))))>u))
0
0
0
0
not entailment
((((u&j)&(i|u))|e)|~(~((l&e))))
((~(a)&(j|l))>(e>l))
0
1
0
0
not entailment
~(~(~(i)))
((i|~((u|~(~(~((i&j)))))))>~(~(a)))
1
0
0
0
entailment
~((((l|a)&~(e))>(o&(p|(i&u)))))
~(~((((p>~((i>j)))&e)>j)))
1
1
0
0
entailment
~(~(~(i)))
~(~((((p>~((i>j)))&e)>j)))
0
0
0
0
not entailment
~((((l|a)&~(e))>(o&(p|(i&u)))))
((i|~((u|~(~(~((i&j)))))))>~(~(a)))
0
0
0
0
not entailment
~(((i&p)|(o|l)))
(((((i|u)&(o&a))|a)&(u&((i>e)>j)))>~(o))
1
0
0
0
entailment
(((e>j)|~(p))&~(i))
(o|(i>~((l>i))))
1
1
0
0
entailment
~(((i&p)|(o|l)))
(o|(i>~((l>i))))
0
1
1
0
not entailment
(((e>j)|~(p))&~(i))
(((((i|u)&(o&a))|a)&(u&((i>e)>j)))>~(o))
0
0
0
0
not entailment
(p&~(~(((~((o|(p|l)))&~(o))|a))))
((a&a)|(~(l)>a))
1
1
1
0
entailment
(e|e)
(~((a|((l&(o&u))>(j>(e>p)))))|e)
1
0
0
0
entailment
(p&~(~(((~((o|(p|l)))&~(o))|a))))
(~((a|((l&(o&u))>(j>(e>p)))))|e)
0
1
0
0
not entailment
(e|e)
((a&a)|(~(l)>a))
0
0
0
0
not entailment
(((i|(a|j))&l)&~((u>(((a|p)>l)&o))))
(((~((((o>j)>l)|e))&u)>e)&((u&e)>e))
1
1
0
0
entailment
(((l&l)>e)&~((((e|l)&~(o))|a)))
((~(e)|l)>(p>~(a)))
1
1
0
0
entailment
(((i|(a|j))&l)&~((u>(((a|p)>l)&o))))
((~(e)|l)>(p>~(a)))
0
1
0
0
not entailment
(((l&l)>e)&~((((e|l)&~(o))|a)))
(((~((((o>j)>l)|e))&u)>e)&((u&e)>e))
0
0
0
0
not entailment
(((e|o)|(l&o))>~(~(((a|a)&~(o)))))
~(o)
1
1
1
1
entailment
((u&l)&(p&(a&i)))
((l&l)&l)
1
1
1
1
entailment
(((e|o)|(l&o))>~(~(((a|a)&~(o)))))
((l&l)&l)
0
1
1
0
not entailment
((u&l)&(p&(a&i)))
~(o)
0
1
0
0
not entailment
((t&c)&((n&b)&(q>~((c|q)))))
((n|(q&q))|(h|c))
1
1
0
0
entailment
((((l|((q&(x>h))>v))|q)|q)>~((x|c)))
((h&n)|(~((x&(c&~(l))))|~(((t|t)&c))))
1
0
0
0
entailment
((t&c)&((n&b)&(q>~((c|q)))))
((h&n)|(~((x&(c&~(l))))|~(((t|t)&c))))
0
0
0
0
not entailment
((((l|((q&(x>h))>v))|q)|q)>~((x|c)))
((n|(q&q))|(h|c))
0
1
0
0
not entailment
(q&(a>(q&((c>n)|h))))
(l|~(~((n|((c>q)|(x&n))))))
1
0
0
0
entailment
~((b>((n&(b|n))|(~(~(h))>~(a)))))
((((t&x)&n)|(b|x))|~((t&~(~(a)))))
1
1
0
0
entailment
(q&(a>(q&((c>n)|h))))
((((t&x)&n)|(b|x))|~((t&~(~(a)))))
0
0
0
0
not entailment
~((b>((n&(b|n))|(~(~(h))>~(a)))))
(l|~(~((n|((c>q)|(x&n))))))
0
1
0
0
not entailment
(((c&v)&h)&((~((c>q))|v)|((x|x)>v)))
(c>v)
1
1
1
0
entailment
(~((l>a))&(a|(n|n)))
(((n|v)|(h>v))&(((c&x)>t)>(l|(c>a))))
1
0
0
0
entailment
(((c&v)&h)&((~((c>q))|v)|((x|x)>v)))
(((n|v)|(h>v))&(((c&x)>t)>(l|(c>a))))
0
1
0
0
not entailment
(~((l>a))&(a|(n|n)))
(c>v)
0
1
0
0
not entailment
((n&((h>c)>(n&~(c))))|(h&b))
((t|c)>((~(q)>n)|(t|(h|h))))
1
1
0
0
entailment
~(a)
~((~(l)&(q&a)))
1
0
0
0
entailment
((n&((h>c)>(n&~(c))))|(h&b))
~((~(l)&(q&a)))
0
1
0
0
not entailment
~(a)
((t|c)>((~(q)>n)|(t|(h|h))))
0
0
0
0
not entailment
(((a&(h&(q&v)))&~((n|c)))&(l&~(c)))
((n>~(c))|((q&~((a|x)))&(q|h)))
1
1
0
0
entailment
~((((q>v)&l)|(((x&(q|a))&(a|c))>l)))
(~(l)|~(((t>x)>~(x))))
1
1
0
0
entailment
(((a&(h&(q&v)))&~((n|c)))&(l&~(c)))
(~(l)|~(((t>x)>~(x))))
0
1
0
0
not entailment
~((((q>v)&l)|(((x&(q|a))&(a|c))>l)))
((n>~(c))|((q&~((a|x)))&(q|h)))
0
1
0
0
not entailment
((q&h)&a)
((t>(t|n))&(q|(n&a)))
1
0
0
0
entailment
(~(~((~(v)&(a|h))))&l)
~(v)
1
1
1
1
entailment
((q&h)&a)
~(v)
0
1
0
0
not entailment
(~(~((~(v)&(a|h))))&l)
((t>(t|n))&(q|(n&a)))
0
1
0
0
not entailment
((((t>v)&q)&((c|a)&((x>l)>t)))&(l&c))
(b>(a>v))
1
1
0
0
entailment
~(c)
(~(~(~(~((v&v)))))>~((x&((c&x)&x))))
1
0
0
0
entailment
((((t>v)&q)&((c|a)&((x>l)>t)))&(l&c))
(~(~(~(~((v&v)))))>~((x&((c&x)&x))))
0
0
1
0
not entailment
~(c)
(b>(a>v))
0
0
0
0
not entailment
(l&c)
((l|x)&l)
1
0
0
0
entailment
~(((~(l)|((l|v)>h))>~(v)))
(x>v)
1
1
0
0
entailment
(l&c)
(x>v)
0
1
0
0
not entailment
~(((~(l)|((l|v)>h))>~(v)))
((l|x)&l)
0
1
0
0
not entailment
((l&v)&(h&t))
((((n&n)|v)>a)|((v&n)|(l|l)))
1
0
0
0
entailment
(~((h|t))&((q&x)>b))
(~(t)|(~((h&h))&~((q&(t|(b&(l&q)))))))
1
0
0
0
entailment
((l&v)&(h&t))
(~(t)|(~((h&h))&~((q&(t|(b&(l&q)))))))
0
0
0
0
not entailment
(~((h|t))&((q&x)>b))
((((n&n)|v)>a)|((v&n)|(l|l)))
0
0
0
0
not entailment
~(~(t))
(((t|(v>q))&(c>(t|x)))|(h|((t|a)>(n|v))))
1
0
0
0
entailment
~((((q>b)&b)>t))
(((x>(t&(~(n)&q)))|v)>(b|n))
1
0
0
0
entailment
~(~(t))
(((x>(t&(~(n)&q)))|v)>(b|n))
0
0
0
0
not entailment
~((((q>b)&b)>t))
(((t|(v>q))&(c>(t|x)))|(h|((t|a)>(n|v))))
0
0
0
0
not entailment
(((~(~(b))>~(c))&~(~(a)))&((n|h)&v))
((n>(h|v))>v)
1
1
1
0
entailment
(t&n)
(((~(n)>h)>l)|(t|t))
1
0
0
0
entailment
(((~(~(b))>~(c))&~(~(a)))&((n|h)&v))
(((~(n)>h)>l)|(t|t))
0
1
0
0
not entailment
(t&n)
((n>(h|v))>v)
0
0
0
0
not entailment
~(((((v&((v>(n&v))|n))&b)>b)>(b|q)))
((q>(n&c))|~((x|((t&(n>((n>x)>n)))|q))))
1
0
0
0
entailment
((n|(n&v))&(h&l))
(c>(n&((x&q)|(a>c))))
1
0
0
0
entailment
~(((((v&((v>(n&v))|n))&b)>b)>(b|q)))
(c>(n&((x&q)|(a>c))))
0
1
0
0
not entailment
((n|(n&v))&(h&l))
((q>(n&c))|~((x|((t&(n>((n>x)>n)))|q))))
0
0
0
0
not entailment
~((((((q&v)>(q&c))>(v>t))>a)>((c&b)>n)))
(q>((h>(~(x)>((n&t)>(c>n))))&c))
1
1
0
0
entailment
(h&~(~(v)))
((c&b)>v)
1
1
0
0
entailment
~((((((q&v)>(q&c))>(v>t))>a)>((c&b)>n)))
((c&b)>v)
0
1
1
0
not entailment
(h&~(~(v)))
(q>((h>(~(x)>((n&t)>(c>n))))&c))
0
0
0
0
not entailment
(((x&k)>(g>(q&t)))>g)
(h|(q>g))
1
1
0
0
entailment
(~(((n|h)|k))&(t>((n&(h>q))>t)))
((h>~(a))|n)
1
1
0
0
entailment
(((x&k)>(g>(q&t)))>g)
((h>~(a))|n)
0
1
0
0
not entailment
(~(((n|h)|k))&(t>((n&(h>q))>t)))
(h|(q>g))
0
1
0
0
not entailment
(((((h|g)&k)>k)>x)&(n|~(a)))
((x|q)|(g|(~((~(h)|x))|a)))
1
1
0
0
entailment
(l&t)
(k|l)
1
1
0
0
entailment
(((((h|g)&k)>k)>x)&(n|~(a)))
(k|l)
0
1
0
0
not entailment
(l&t)
((x|q)|(g|(~((~(h)|x))|a)))
0
0
0
0
not entailment
((g&(n>g))&((g&(n|l))&g))
((l>n)>n)
1
1
1
1
entailment
~(((g>(t|g))&(a>x)))
(a|k)
1
1
0
0
entailment
((g&(n>g))&((g&(n|l))&g))
(a|k)
0
1
0
0
not entailment
~(((g>(t|g))&(a>x)))
((l>n)>n)
0
1
0
0
not entailment
((~((l>n))&(((x&g)|(t>l))>l))|(g&k))
((((l>a)>((a&(q|a))>x))&((n>h)|a))|(n>g))
1
0
0
0
entailment
((a|h)>((n>n)>((l|k)&(n&t))))
((~(x)>(n>~(h)))>(h>x))
1
1
0
0
entailment
((~((l>n))&(((x&g)|(t>l))>l))|(g&k))
((~(x)>(n>~(h)))>(h>x))
0
1
0
0
not entailment
((a|h)>((n>n)>((l|k)&(n&t))))
((((l>a)>((a&(q|a))>x))&((n>h)|a))|(n>g))
0
0
0
0
not entailment
(h&(t&~(~((n>l)))))
((q&~((~(~(t))&x)))>(k>h))
1
0
0
0
entailment
(l&(((t|x)|k)|g))
((n&((n>q)&q))|(((l&t)|l)|(a>(g&a))))
1
0
0
0
entailment
(h&(t&~(~((n>l)))))
((n&((n>q)&q))|(((l&t)|l)|(a>(g&a))))
0
0
0
0
not entailment
(l&(((t|x)|k)|g))
((q&~((~(~(t))&x)))>(k>h))
0
0
0
0
not entailment
((~(n)&(g>~((((x>x)>l)|a))))&g)
(~(~(a))>((h|q)|((~(a)>k)&x)))
1
1
0
0
entailment
~(~(l))
(~(a)>(l|k))
1
0
0
0
entailment
((~(n)&(g>~((((x>x)>l)|a))))&g)
(~(a)>(l|k))
0
1
0
0
not entailment
~(~(l))
(~(~(a))>((h|q)|((~(a)>k)&x)))
0
0
0
0
not entailment
(~((k|(n&n)))&q)
(k>x)
1
1
0
0
entailment