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 |
|---|---|---|---|---|---|---|
(~((c>(~(c)&(c|c))))&c)
|
(((h>(h>h))|(c&c))>((c&(h|c))&(h|c)))
| 1 | 0 | 0 | 0 |
entailment
|
((h|h)|~(((h>(~(c)>h))>c)))
|
(~(~(h))|~(((h>c)>(h|c))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((c>(~(c)&(c|c))))&c)
|
(~(~(h))|~(((h>c)>(h|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|h)|~(((h>(~(c)>h))>c)))
|
(((h>(h>h))|(c&c))>((c&(h|c))&(h|c)))
| 0 | 0 | 1 | 1 |
not entailment
|
(~(c)>~((h>h)))
|
(h>c)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
((c>h)|(h|h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(c)>~((h>h)))
|
((c>h)|(h|h))
| 0 | 1 | 1 | 0 |
not entailment
|
(h|h)
|
(h|h)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((~(c)>c)&h))>c)
|
(h>(c|~(h)))
| 1 | 1 | 1 | 0 |
entailment
|
(h|h)
|
(h>(c|~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~(c)>c)&h))>c)
|
(h|h)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~((c|~(c))))&(~((h>c))>c)))
|
((c|h)&(~(~(c))>c))
| 1 | 1 | 1 | 1 |
entailment
|
((~(((c&c)|h))|((h&h)&(c|c)))|(h>c))
|
(h>c)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~((c|~(c))))&(~((h>c))>c)))
|
(h>c)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(((c&c)|h))|((h&h)&(c|c)))|(h>c))
|
((c|h)&(~(~(c))>c))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((c|h)&~(h))))
|
(((c&c)&c)|c)
| 1 | 1 | 1 | 1 |
entailment
|
(h|((c&(h&c))&(c|h)))
|
(((h|c)|c)&h)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((c|h)&~(h))))
|
(((h|c)|c)&h)
| 0 | 1 | 1 | 1 |
not entailment
|
(h|((c&(h&c))&(c|h)))
|
(((c&c)&c)|c)
| 0 | 1 | 1 | 1 |
not entailment
|
(((c|h)|(c|h))&~(~(c)))
|
((((c>((c>h)|h))&c)>(c|h))&(c|c))
| 1 | 0 | 1 | 0 |
entailment
|
(h|(h&(c|h)))
|
(~((c&c))|(h|~(((((h&h)>h)&h)>(c>h)))))
| 1 | 0 | 1 | 0 |
entailment
|
(((c|h)|(c|h))&~(~(c)))
|
(~((c&c))|(h|~(((((h&h)>h)&h)>(c>h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(h|(h&(c|h)))
|
((((c>((c>h)|h))&c)>(c|h))&(c|c))
| 0 | 0 | 1 | 0 |
not entailment
|
(c&(~((c&(h&((c>c)|h))))|c))
|
((h>h)&c)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(c)>((c>(h>~((c|h))))&(c|h))))
|
((~(c)>c)>(~(h)&~(c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&(~((c&(h&((c>c)|h))))|c))
|
((~(c)>c)>(~(h)&~(c)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(c)>((c>(h>~((c|h))))&(c|h))))
|
((h>h)&c)
| 0 | 1 | 1 | 1 |
not entailment
|
(h&c)
|
((((c|c)>(c>h))&h)|~(c))
| 1 | 0 | 1 | 0 |
entailment
|
~(((c>h)|((h>c)>h)))
|
((c&c)>~((c>h)))
| 1 | 1 | 1 | 0 |
entailment
|
(h&c)
|
((c&c)>~((c>h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((c>h)|((h>c)>h)))
|
((((c|c)>(c>h))&h)|~(c))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~((h>c)))&c)
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
(c>~((~(~((c&(h&h))))&(c&(h>h)))))
|
((c&h)>~((h&(h>h))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((h>c)))&c)
|
((c&h)>~((h&(h>h))))
| 0 | 0 | 1 | 0 |
not entailment
|
(c>~((~(~((c&(h&h))))&(c&(h>h)))))
|
~(~(c))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&c)
|
((h&(c>c))&(((c>c)&(~(c)>h))|(c&(h>h))))
| 1 | 0 | 1 | 0 |
entailment
|
~((h|(h&c)))
|
(((~(h)&(~(h)>h))&(h>c))|~((c&h)))
| 1 | 0 | 1 | 0 |
entailment
|
(h&c)
|
(((~(h)&(~(h)>h))&(h>c))|~((c&h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((h|(h&c)))
|
((h&(c>c))&(((c>c)&(~(c)>h))|(c&(h>h))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((c&h)>~(h))>~((h&h)))
|
(((c|h)|(h|h))>c)
| 1 | 1 | 1 | 0 |
entailment
|
(((~(~(c))&~(c))&~(h))|(h|c))
|
(~(~(c))|((~(h)>h)&(~(h)|h)))
| 1 | 1 | 1 | 1 |
entailment
|
(((c&h)>~(h))>~((h&h)))
|
(~(~(c))|((~(h)>h)&(~(h)|h)))
| 0 | 0 | 1 | 1 |
not entailment
|
(((~(~(c))&~(c))&~(h))|(h|c))
|
(((c|h)|(h|h))>c)
| 0 | 1 | 1 | 1 |
not entailment
|
(c&(h>(c&c)))
|
((c|h)&(c&(h|(c|h))))
| 1 | 0 | 1 | 0 |
entailment
|
((h>h)&((~(h)|h)&~((c&(~(h)|h)))))
|
~(((~((~((c|h))|h))|(c|c))&(c&c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&(h>(c&c)))
|
~(((~((~((c|h))|h))|(c|c))&(c&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
((h>h)&((~(h)|h)&~((c&(~(h)|h)))))
|
((c|h)&(c&(h|(c|h))))
| 0 | 1 | 1 | 0 |
not entailment
|
(h>c)
|
(~((~(c)>c))>(h>(c|c)))
| 1 | 0 | 1 | 1 |
entailment
|
((c|(~(c)|(h|h)))>(h&h))
|
((h&h)|h)
| 1 | 1 | 1 | 1 |
entailment
|
(h>c)
|
((h&h)|h)
| 0 | 0 | 1 | 0 |
not entailment
|
((c|(~(c)|(h|h)))>(h&h))
|
(~((~(c)>c))>(h>(c|c)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(g)))
|
(g>((o>((q>b)>i))>(v>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(q)&((~(j)>~(v))>i))
|
((q>((j&e)&i))|((j&s)>~(j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(g)))
|
((q>((j&e)&i))|((j&s)>~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(q)&((~(j)>~(v))>i))
|
(g>((o>((q>b)>i))>(v>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&e)&(g&v))
|
(e&(o>g))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((j|(b&(j>g)))))&~((j|q)))
|
(q>~(~(((v&j)>((q&i)&v)))))
| 1 | 1 | 0 | 0 |
entailment
|
((j&e)&(g&v))
|
(q>~(~(((v&j)>((q&i)&v)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((j|(b&(j>g)))))&~((j|q)))
|
(e&(o>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o|j)&(j&j))&e)
|
(e|o)
| 1 | 1 | 1 | 1 |
entailment
|
~(((s|o)|s))
|
(~(s)&(o>j))
| 1 | 1 | 0 | 0 |
entailment
|
(((o|j)&(j&j))&e)
|
(~(s)&(o>j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((s|o)|s))
|
(e|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(i&o)
|
((~(o)&(j&o))|~(~((((b|v)>o)|(q>i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(b&v))
|
(~((j|g))>(o>~((((e|s)&q)&b))))
| 1 | 0 | 0 | 0 |
entailment
|
(i&o)
|
(~((j|g))>(o>~((((e|s)&q)&b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(b&v))
|
((~(o)&(j&o))|~(~((((b|v)>o)|(q>i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((((v|b)|g)&(b&b)))&s)&((e|e)&g))
|
((((g&i)|v)>o)|(s>~(b)))
| 1 | 1 | 0 | 0 |
entailment
|
(((((o>q)|b)|(o&v))>(v>(g|o)))>~(o))
|
~(((j&q)&((s>~((o>(~(g)|b))))&s)))
| 1 | 1 | 0 | 0 |
entailment
|
((~((((v|b)|g)&(b&b)))&s)&((e|e)&g))
|
~(((j&q)&((s>~((o>(~(g)|b))))&s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((o>q)|b)|(o&v))>(v>(g|o)))>~(o))
|
((((g&i)|v)>o)|(s>~(b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&~(b))
|
((((q|s)>o)>b)|s)
| 1 | 0 | 0 | 0 |
entailment
|
(~((s|j))&q)
|
(((q&~(s))&q)|~((q>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&~(b))
|
(((q&~(s))&q)|~((q>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((s|j))&q)
|
((((q|s)>o)>b)|s)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((q&(o&s))>e))
|
~(~(~((e&o))))
| 1 | 1 | 1 | 0 |
entailment
|
((g>i)&g)
|
(q>(i|b))
| 1 | 1 | 0 | 0 |
entailment
|
~(((q&(o&s))>e))
|
(q>(i|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((g>i)&g)
|
~(~(~((e&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>((v&(v&((v&g)>o)))|(e|v))))
|
(e>(g|~(~(j))))
| 1 | 1 | 0 | 0 |
entailment
|
(q|e)
|
(o|(q|(~(((j>v)|e))>q)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>((v&(v&((v&g)>o)))|(e|v))))
|
(o|(q|(~(((j>v)|e))>q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(q|e)
|
(e>(g|~(~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j&v)&(e|(((s|e)>e)|s)))&i)
|
(q|(~((q>s))|(i|v)))
| 1 | 1 | 0 | 0 |
entailment
|
((j|g)>((s&(j&(s|s)))&(q&(e&g))))
|
(((i&j)>b)|(s|~((~(g)&((g>~(v))&v)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((j&v)&(e|(((s|e)>e)|s)))&i)
|
(((i&j)>b)|(s|~((~(g)&((g>~(v))&v)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j|g)>((s&(j&(s|s)))&(q&(e&g))))
|
(q|(~((q>s))|(i|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(~((j>(o>s)))))&~(((v&j)|j)))|o)
|
(~(e)>((v>e)|o))
| 1 | 1 | 0 | 0 |
entailment
|
~((v>e))
|
((j>~(((~(~((q&e)))&q)&o)))|((q&q)>g))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~((j>(o>s)))))&~(((v&j)|j)))|o)
|
((j>~(((~(~((q&e)))&q)&o)))|((q&q)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((v>e))
|
(~(e)>((v>e)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&g)&s)
|
(b|(~(s)|g))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(e)|b))
|
~(~((e|j)))
| 1 | 1 | 0 | 0 |
entailment
|
((o&g)&s)
|
~(~((e|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(e)|b))
|
(b|(~(s)|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)&(v>b))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
((((b&l)&(~((b>v))|e))|l)&((b>s)>(v|v)))
|
(((l|v)|l)|(~(v)>l))
| 1 | 1 | 1 | 1 |
entailment
|
(~(b)&(v>b))
|
(((l|v)|l)|(~(v)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((b&l)&(~((b>v))|e))|l)&((b>s)>(v|v)))
|
~(b)
| 0 | 1 | 1 | 0 |
not entailment
|
~((b|(s|e)))
|
(s>(~((v&~(~(v))))>(v&v)))
| 1 | 0 | 0 | 0 |
entailment
|
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