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|p)&(p>c))
|
(c|((t&q)|p))
| 1 | 1 | 0 | 0 |
entailment
|
((t&(c>q))|(~((p&a))>t))
|
((p>t)>t)
| 1 | 1 | 1 | 0 |
entailment
|
((c|p)&(p>c))
|
((p>t)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((t&(c>q))|(~((p&a))>t))
|
(c|((t&q)|p))
| 0 | 1 | 1 | 0 |
not entailment
|
~((t>~(c)))
|
(c|((p>a)>q))
| 1 | 1 | 0 | 0 |
entailment
|
(~((q|((a&(q&t))|a)))&~(q))
|
~(((((q>p)|(c|a))|((p>~((q|a)))&c))&a))
| 1 | 0 | 0 | 0 |
entailment
|
~((t>~(c)))
|
~(((((q>p)|(c|a))|((p>~((q|a)))&c))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q|((a&(q&t))|a)))&~(q))
|
(c|((p>a)>q))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&c)
|
((t>p)&(a|(t|~((t|t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((c&t)&q)
|
(((c&~((c&a)))|((t&a)|~(~(~(q)))))>t)
| 1 | 0 | 0 | 0 |
entailment
|
(p&c)
|
(((c&~((c&a)))|((t&a)|~(~(~(q)))))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
((c&t)&q)
|
((t>p)&(a|(t|~((t|t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&v)
|
(v&v)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((v|~(h)))>m))
|
(v>m)
| 1 | 1 | 1 | 0 |
entailment
|
(v&v)
|
(v>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((v|~(h)))>m))
|
(v&v)
| 0 | 1 | 1 | 0 |
not entailment
|
(v|~(h))
|
((~(v)&m)>~((a&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&h)
|
(m&(m|a))
| 1 | 0 | 0 | 0 |
entailment
|
(v|~(h))
|
(m&(m|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&h)
|
((~(v)&m)>~((a&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((h|v)|v)>(h|(m|m))))
|
(m>h)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(m)>a)|v)&~((a>v)))
|
(a|~(~((~(((m&a)&h))>h))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((h|v)|v)>(h|(m|m))))
|
(a|~(~((~(((m&a)&h))>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(m)>a)|v)&~((a>v)))
|
(m>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(((~(h)|~(~(h)))|(h|(v|a)))>(v|m)))
|
~(~((m>h)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((h&((v>~(a))&a))|~(a)))>(h&a)))
|
(v|a)
| 1 | 1 | 1 | 1 |
entailment
|
(h&(((~(h)|~(~(h)))|(h|(v|a)))>(v|m)))
|
(v|a)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((h&((v>~(a))&a))|~(a)))>(h&a)))
|
~(~((m>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|a)&((m>(h>v))>(~(m)>(v&v))))&~(h))
|
(v|(v|(((a|h)>(m&v))|m)))
| 1 | 1 | 1 | 0 |
entailment
|
((a&a)&(((h&(v|a))|(m|a))|(v&~(m))))
|
(a|a)
| 1 | 1 | 1 | 1 |
entailment
|
(((v|a)&((m>(h>v))>(~(m)>(v&v))))&~(h))
|
(a|a)
| 0 | 1 | 1 | 1 |
not entailment
|
((a&a)&(((h&(v|a))|(m|a))|(v&~(m))))
|
(v|(v|(((a|h)>(m&v))|m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((m&m)&((a&~(a))>(a|m)))))
|
((v|a)|(m&~(a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((h&m)|~(v))>(h|h)))
|
~((v&h))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((m&m)&((a&~(a))>(a|m)))))
|
~((v&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((h&m)|~(v))>(h|h)))
|
((v|a)|(m&~(a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v&a)&(m>(h|~((h>a)))))&((m|h)>(v|v)))
|
(v|(v&m))
| 1 | 1 | 1 | 0 |
entailment
|
(((h|((~((v>v))&(m&h))|v))|(v|(m|h)))&m)
|
(a>~(((h>m)&~(m))))
| 1 | 1 | 0 | 0 |
entailment
|
(((v&a)&(m>(h|~((h>a)))))&((m|h)>(v|v)))
|
(a>~(((h>m)&~(m))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h|((~((v>v))&(m&h))|v))|(v|(m|h)))&m)
|
(v|(v&m))
| 0 | 1 | 1 | 1 |
not entailment
|
~((h|m))
|
(h>~((~((m|m))&~(~(v)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((v|(~(a)|h))>v)|~((~(~((a>v)))|v)))
|
((a>v)>v)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|m))
|
((a>v)>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|(~(a)|h))>v)|~((~(~((a>v)))|v)))
|
(h>~((~((m|m))&~(~(v)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&h)
|
((~((h>(h&v)))|(a|a))|((a>~(a))>v))
| 1 | 0 | 0 | 0 |
entailment
|
((a|m)&(m|~((m>m))))
|
~((((m&h)|v)&~(m)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&h)
|
~((((m&h)|v)&~(m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|m)&(m|~((m>m))))
|
((~((h>(h&v)))|(a|a))|((a>~(a))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v>m)&v)&v)
|
((m|(m&m))|(v&v))
| 1 | 0 | 1 | 1 |
entailment
|
~(((a>m)|(~(v)&(m|m))))
|
~((m&v))
| 1 | 1 | 1 | 0 |
entailment
|
(((v>m)&v)&v)
|
~((m&v))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((a>m)|(~(v)&(m|m))))
|
((m|(m&m))|(v&v))
| 0 | 1 | 1 | 0 |
not entailment
|
((m|m)>(h|v))
|
(((h>~((a|h)))>(v|v))|~((m|(v|h))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(v)|~(a))&(m|(~((h>~(m)))&m)))
|
((m>a)>(~((~((v|h))>(v&h)))|(a>h)))
| 1 | 1 | 1 | 0 |
entailment
|
((m|m)>(h|v))
|
((m>a)>(~((~((v|h))>(v&h)))|(a>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(v)|~(a))&(m|(~((h>~(m)))&m)))
|
(((h>~((a|h)))>(v|v))|~((m|(v|h))))
| 0 | 1 | 1 | 0 |
not entailment
|
(v&a)
|
(~(~((m&~(a))))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(((~((v|m))&(a&h))>~((h|m)))&h)
|
(((h>m)>m)>(h|~(a)))
| 1 | 1 | 1 | 1 |
entailment
|
(v&a)
|
(((h>m)>m)>(h|~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((v|m))&(a&h))>~((h|m)))&h)
|
(~(~((m&~(a))))|a)
| 0 | 1 | 1 | 0 |
not entailment
|
(((h>~((~(v)&v)))|(h&(m|v)))&a)
|
(((~(m)>h)&(~((v>a))|v))|a)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((h&(h|~(a)))&(((a&v)|m)>~(m)))))
|
(~(~(~(~(v))))|(h|m))
| 1 | 1 | 1 | 0 |
entailment
|
(((h>~((~(v)&v)))|(h&(m|v)))&a)
|
(~(~(~(~(v))))|(h|m))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((h&(h|~(a)))&(((a&v)|m)>~(m)))))
|
(((~(m)>h)&(~((v>a))|v))|a)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&v)
|
((m>a)>(~(((a>a)>a))|v))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((h|v)>(m&(m>h))))|((v>a)>m)))
|
(~(~(v))>((h|a)>~(a)))
| 1 | 1 | 1 | 0 |
entailment
|
(h&v)
|
(~(~(v))>((h|a)>~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((h|v)>(m&(m>h))))|((v>a)>m)))
|
((m>a)>(~(((a>a)>a))|v))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(h)&h)|(a>h))&a)
|
(((m&v)>h)>((~(h)>((h>(h|m))|a))>h))
| 1 | 0 | 0 | 0 |
entailment
|
(((((h&v)|a)&(a|(a|m)))&m)&(~(a)|(v>a)))
|
(m&(a>a))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(h)&h)|(a>h))&a)
|
(m&(a>a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((h&v)|a)&(a|(a|m)))&m)&(~(a)|(v>a)))
|
(((m&v)>h)>((~(h)>((h>(h|m))|a))>h))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(h)|(h&~((v>v))))&((v&m)&m))
|
((h&m)>~(((((v>v)>h)|v)|(h|a))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(v)&(h&a))
|
~((((a&m)>(m&a))&v))
| 1 | 0 | 0 | 0 |
entailment
|
((~(h)|(h&~((v>v))))&((v&m)&m))
|
~((((a&m)>(m&a))&v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(v)&(h&a))
|
((h&m)>~(((((v>v)>h)|v)|(h|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(k&(e&s)))
|
((k&r)|k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r>~((s>r)))|~(~((b&s)))))
|
((k>l)>r)
| 1 | 1 | 0 | 0 |
entailment
|
(s&(k&(e&s)))
|
((k>l)>r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r>~((s>r)))|~(~((b&s)))))
|
((k&r)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((((s>s)>(((e&e)|e)&(s&k)))&r)&e)
|
((s|l)|(~(((l&r)>r))|~(~((s|r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&k)
|
~(((~(b)|~(k))&~(~((k|~(r))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s>s)>(((e&e)|e)&(s&k)))&r)&e)
|
~(((~(b)|~(k))&~(~((k|~(r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&k)
|
((s|l)|(~(((l&r)>r))|~(~((s|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~((((k&l)>r)&(s|r))))
|
((l&l)|k)
| 1 | 1 | 1 | 1 |
entailment
|
(~(e)&(r&~(b)))
|
(~((e>(k>r)))>~(e))
| 1 | 0 | 0 | 0 |
entailment
|
(s&~((((k&l)>r)&(s|r))))
|
(~((e>(k>r)))>~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)&(r&~(b)))
|
((l&l)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((e&k)&r)|(s&((k|(k|b))&l)))&~(e))|l)
|
(((e|l)|(b>r))|e)
| 1 | 1 | 1 | 0 |
entailment
|
((((~(r)>(r&e))|(r|e))>~((r|k)))&k)
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(((((e&k)&r)|(s&((k|(k|b))&l)))&~(e))|l)
|
~(e)
| 0 | 1 | 1 | 1 |
not entailment
|
((((~(r)>(r&e))|(r|e))>~((r|k)))&k)
|
(((e|l)|(b>r))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
(((((b>e)&r)&r)&(k>(((s&e)>l)>e)))>l)
| 1 | 0 | 0 | 0 |
entailment
|
(r&s)
|
(~(~(((k>b)>b)))>s)
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
(~(~(((k>b)>b)))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
(r&s)
|
(((((b>e)&r)&r)&(k>(((s&e)>l)>e)))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((l>(r&~(((l&k)&b)))))&(r|l))
|
(~(l)>(e|(~((r&~((s|e))))&(s|k))))
| 1 | 0 | 0 | 0 |
entailment
|
((((k&r)&(k&b))&s)|~((((b>k)&s)|(r|k))))
|
(((l|(e>l))&~((k>b)))>~((k>((e|l)|k))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((l>(r&~(((l&k)&b)))))&(r|l))
|
(((l|(e>l))&~((k>b)))>~((k>((e|l)|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k&r)&(k&b))&s)|~((((b>k)&s)|(r|k))))
|
(~(l)>(e|(~((r&~((s|e))))&(s|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
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