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
|
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