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 |
|---|---|---|---|---|---|---|
((y&r)&~((g&(r|~(g)))))
|
((r|c)|e)
| 1 | 1 | 0 | 0 |
entailment
|
((c&(m&(g&r)))|(b&t))
|
((r|c)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((y&r)&~((g&(r|~(g)))))
|
(((g>e)>((r|(~(e)&(t|g)))>(a|b)))|(r&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((m>(r|r)))&(((b&(m>t))|t)&(e|t)))
|
(~((((t|a)|r)>(g&e)))|(~(~(e))|r))
| 1 | 1 | 0 | 0 |
entailment
|
(m>~((c|(((g|g)|a)>((y&r)|(g&t))))))
|
((m>~(c))|r)
| 1 | 1 | 1 | 0 |
entailment
|
(~((m>(r|r)))&(((b&(m>t))|t)&(e|t)))
|
((m>~(c))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(m>~((c|(((g|g)|a)>((y&r)|(g&t))))))
|
(~((((t|a)|r)>(g&e)))|(~(~(e))|r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b>m))&(((r|e)|a)&(g>r)))
|
((b|y)|(~((g>r))&(b>(c|y))))
| 1 | 1 | 0 | 0 |
entailment
|
(a&t)
|
((g|(r>(t>b)))>(((m|t)|c)&((t|b)&(c|t))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((b>m))&(((r|e)|a)&(g>r)))
|
((g|(r>(t>b)))>(((m|t)|c)&((t|b)&(c|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&t)
|
((b|y)|(~((g>r))&(b>(c|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&a)&((t>e)&a))
|
(~((b>r))>((c>e)|a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&~((g>~((b|g)))))
|
(~((r>g))>(g|m))
| 1 | 1 | 0 | 0 |
entailment
|
((y&a)&((t>e)&a))
|
(~((r>g))>(g|m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&~((g>~((b|g)))))
|
(~((b>r))>((c>e)|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&t)
|
(~((((m|b)&(m|m))|(m>c)))|(e>t))
| 1 | 0 | 0 | 0 |
entailment
|
((~(b)>r)&(((t>c)|(~(a)&g))&(y&a)))
|
(y|((y>y)&(~(g)&t)))
| 1 | 1 | 1 | 0 |
entailment
|
(e&t)
|
(y|((y>y)&(~(g)&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(b)>r)&(((t>c)|(~(a)&g))&(y&a)))
|
(~((((m|b)&(m|m))|(m>c)))|(e>t))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>(g|a))|~((m&~((b&(a&a)))))))
|
(~(~(((((b&a)|g)&a)|(c|g))))|((b|c)|e))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|((m>(a&t))&~((b|g)))))
|
(((r|r)&(r>c))>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((c>(g|a))|~((m&~((b&(a&a)))))))
|
(((r|r)&(r>c))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|((m>(a&t))&~((b|g)))))
|
(~(~(((((b&a)|g)&a)|(c|g))))|((b|c)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((m|m)))
|
(((c>m)|(b&~(~(y))))|((g|a)>b))
| 1 | 0 | 0 | 0 |
entailment
|
(~((t|r))|((a&(g&b))&~(r)))
|
~(((r&a)&~(~(b))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((m|m)))
|
~(((r&a)&~(~(b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((t|r))|((a&(g&b))&~(r)))
|
(((c>m)|(b&~(~(y))))|((g|a)>b))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|v)&~(~(~(((v|r)>v)))))
|
(~(w)|~((v&r)))
| 1 | 1 | 0 | 0 |
entailment
|
(w&(((~((w|r))|((r|(v&h))|r))>h)&v))
|
(w|v)
| 1 | 1 | 1 | 1 |
entailment
|
((h|v)&~(~(~(((v|r)>v)))))
|
(w|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(((~((w|r))|((r|(v&h))|r))>h)&v))
|
(~(w)|~((v&r)))
| 0 | 1 | 1 | 0 |
not entailment
|
((r|(((r|(v&h))&h)>~((w&(h>(h>h))))))>w)
|
((v>(h|(r|w)))&(w>(w|v)))
| 1 | 1 | 1 | 0 |
entailment
|
~((w|(h|~(v))))
|
(~((h&(w|v)))|(~(h)&(r>w)))
| 1 | 0 | 0 | 0 |
entailment
|
((r|(((r|(v&h))&h)>~((w&(h>(h>h))))))>w)
|
(~((h&(w|v)))|(~(h)&(r>w)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((w|(h|~(v))))
|
((v>(h|(r|w)))&(w>(w|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(w)|w)>(h&h))|(w&h))
|
(h|v)
| 1 | 1 | 0 | 0 |
entailment
|
(~((((w|(v&h))&((h&w)>h))|w))&~((h&h)))
|
(v|(h>(w>r)))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(w)|w)>(h&h))|(w&h))
|
(v|(h>(w>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((w|(v&h))&((h&w)>h))|w))&~((h&h)))
|
(h|v)
| 0 | 1 | 1 | 0 |
not entailment
|
(v&v)
|
(~((~(r)&((v&w)>v)))|v)
| 1 | 0 | 0 | 0 |
entailment
|
(((h&w)|r)&(h&h))
|
((((r>h)&h)>~(h))>(r>w))
| 1 | 0 | 1 | 0 |
entailment
|
(v&v)
|
((((r>h)&h)>~(h))>(r>w))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&w)|r)&(h&h))
|
(~((~(r)&((v&w)>v)))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((w>~((r&r)))>(v&r))))&v)
|
((~(v)>(h&r))|v)
| 1 | 1 | 0 | 0 |
entailment
|
~((r>v))
|
((~(((r|(r|r))>v))|(~(w)>w))|~(r))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((w>~((r&r)))>(v&r))))&v)
|
((~(((r|(r|r))>v))|(~(w)>w))|~(r))
| 0 | 0 | 1 | 0 |
not entailment
|
~((r>v))
|
((~(v)>(h&r))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
((v&~((h&~(h))))&~(h))
|
~(~((h|(w>v))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((h|r)>(v&r))>(h|h)))&~(v))
|
(((h|(w|h))|w)|(r>w))
| 1 | 1 | 0 | 0 |
entailment
|
((v&~((h&~(h))))&~(h))
|
(((h|(w|h))|w)|(r>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((h|r)>(v&r))>(h|h)))&~(v))
|
~(~((h|(w>v))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v>(r|w))&v)&(r>w))
|
(~(((h|h)>~(v)))>(w&(v&v)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&~((v>~(h))))&((~(w)|r)>(v>r)))
|
(((h&(r&h))>h)&(((h&r)&(r|v))&(v>h)))
| 1 | 1 | 1 | 0 |
entailment
|
(((v>(r|w))&v)&(r>w))
|
(((h&(r&h))>h)&(((h&r)&(r|v))&(v>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&~((v>~(h))))&((~(w)|r)>(v>r)))
|
(~(((h|h)>~(v)))>(w&(v&v)))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&h)
|
~(~(h))
| 1 | 0 | 1 | 1 |
entailment
|
~((r>w))
|
(r|(~(((h|w)&((h|v)|(r|v))))&(h|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(h&h)
|
(r|(~(((h|w)&((h|v)|(r|v))))&(h|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>w))
|
~(~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&w)
|
~(~((v|(~(~(h))>(w>(~(h)&v))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((w>(w&w))&v)&((r>r)>v)))
|
((h>(r&v))>~((h&w)))
| 1 | 1 | 0 | 0 |
entailment
|
(v&w)
|
((h>(r&v))>~((h&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((w>(w&w))&v)&((r>r)>v)))
|
~(~((v|(~(~(h))>(w>(~(h)&v))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&((r>h)|v))|w)
|
(w|v)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((r&h)))
|
(v>r)
| 1 | 1 | 0 | 0 |
entailment
|
((w&((r>h)|v))|w)
|
(v>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((r&h)))
|
(w|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&~((~((((r>v)>h)>((v>w)&v)))|r)))
|
~((~((v&h))&w))
| 1 | 1 | 1 | 0 |
entailment
|
~((r>v))
|
~(~(~(~(~(v)))))
| 1 | 0 | 1 | 1 |
entailment
|
(h&~((~((((r>v)>h)>((v>w)&v)))|r)))
|
~(~(~(~(~(v)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((r>v))
|
~((~((v&h))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&v)|~(~((r|((v|w)|v))))))
|
(r>~((v>r)))
| 1 | 1 | 1 | 0 |
entailment
|
(((h>w)&w)&(w&(h&w)))
|
((r|r)|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&v)|~(~((r|((v|w)|v))))))
|
((r|r)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>w)&w)&(w&(h&w)))
|
(r>~((v>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c|~((c>c)))
|
(~(((((c&~(c))|c)>c)&c))>c)
| 1 | 0 | 1 | 1 |
entailment
|
~(((c&c)&c))
|
~((c|(~((c|c))&c)))
| 1 | 0 | 1 | 0 |
entailment
|
(c|~((c>c)))
|
~((c|(~((c|c))&c)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((c&c)&c))
|
(~(((((c&~(c))|c)>c)&c))>c)
| 0 | 0 | 1 | 0 |
not entailment
|
(c|((c|(c|c))|((c&c)&(c&(c>c)))))
|
(((c>c)|(c&c))&c)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(c)))
|
((~(((c|c)|c))>((c>c)&c))>~((c>c)))
| 1 | 0 | 1 | 0 |
entailment
|
(c|((c|(c|c))|((c&c)&(c&(c>c)))))
|
((~(((c|c)|c))>((c>c)&c))>~((c>c)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(~(c)))
|
(((c>c)|(c&c))&c)
| 0 | 0 | 1 | 0 |
not entailment
|
(((c>c)|~(c))>(c&c))
|
(~(((c>(c|c))&((c|(c>c))>c)))>c)
| 1 | 0 | 1 | 1 |
entailment
|
(c>~((c>c)))
|
(~((c|c))&(((c>c)&c)>(c&c)))
| 1 | 0 | 1 | 1 |
entailment
|
(((c>c)|~(c))>(c&c))
|
(~((c|c))&(((c>c)&c)>(c&c)))
| 0 | 0 | 1 | 1 |
not entailment
|
(c>~((c>c)))
|
(~(((c>(c|c))&((c|(c>c))>c)))>c)
| 0 | 0 | 1 | 1 |
not entailment
|
((c|((((c>c)>c)|c)|c))&(c&c))
|
((c&~(c))|(c&(c>(c|c))))
| 1 | 1 | 1 | 1 |
entailment
|
((~((c>c))|((c|c)>c))>~(((c>(c&c))>c)))
|
~(~(~(((c>~(((c>c)>c)))>(c|c)))))
| 1 | 1 | 1 | 1 |
entailment
|
((c|((((c>c)>c)|c)|c))&(c&c))
|
~(~(~(((c>~(((c>c)>c)))>(c|c)))))
| 0 | 0 | 1 | 1 |
not entailment
|
((~((c>c))|((c|c)>c))>~(((c>(c&c))>c)))
|
((c&~(c))|(c&(c>(c|c))))
| 0 | 1 | 1 | 1 |
not entailment
|
(c|c)
|
((c&~((c>c)))|c)
| 1 | 0 | 1 | 0 |
entailment
|
~(c)
|
~(~(~((c|c))))
| 1 | 0 | 1 | 1 |
entailment
|
(c|c)
|
~(~(~((c|c))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(c)
|
((c&~((c>c)))|c)
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((q>((s|q)&q)))|(~(o)|q)))
|
((o|(o&o))|~((r>s)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(q)|(t|t)))
|
(~(q)>~((q>s)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((q>((s|q)&q)))|(~(o)|q)))
|
(~(q)>~((q>s)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(q)|(t|t)))
|
((o|(o&o))|~((r>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q>(o|r))&(s|s))&(t&q))
|
(r>(o|q))
| 1 | 1 | 1 | 0 |
entailment
|
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