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 |
|---|---|---|---|---|---|---|
(~(k)>(s&(a&((s>k)>a))))
|
(k|s)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((k>s)>~(a)))>((s|k)&s)))
|
((k>a)|a)
| 1 | 1 | 1 | 1 |
entailment
|
(~(k)>(s&(a&((s>k)>a))))
|
((k>a)|a)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(((k>s)>~(a)))>((s|k)&s)))
|
(k|s)
| 0 | 1 | 1 | 0 |
not entailment
|
((s&((s|(k>a))|k))&((a&s)&((s>a)&s)))
|
(~(~(s))|((s&k)&a))
| 1 | 1 | 1 | 1 |
entailment
|
(k&a)
|
((s>s)>(~(k)>(s&(k&k))))
| 1 | 0 | 0 | 0 |
entailment
|
((s&((s|(k>a))|k))&((a&s)&((s>a)&s)))
|
((s>s)>(~(k)>(s&(k&k))))
| 0 | 1 | 1 | 1 |
not entailment
|
(k&a)
|
(~(~(s))|((s&k)&a))
| 0 | 0 | 0 | 0 |
not entailment
|
((k|(k&s))&((k&~((k|s)))>a))
|
((~(a)|(a|~((((k|(a&a))&a)&k))))>(k|a))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(k)>(k|(s>(~(~((s>a)))&a)))))
|
(a>(~((s>((a&k)>k)))|s))
| 1 | 1 | 1 | 0 |
entailment
|
((k|(k&s))&((k&~((k|s)))>a))
|
(a>(~((s>((a&k)>k)))|s))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(k)>(k|(s>(~(~((s>a)))&a)))))
|
((~(a)|(a|~((((k|(a&a))&a)&k))))>(k|a))
| 0 | 0 | 1 | 0 |
not entailment
|
(((s&s)>~((s>a)))>(a&s))
|
((k&k)|(s&((k&(k|k))>k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a|(s&s))|~(~(((k&k)|(k|k))))))
|
~(((k|a)&(k>~((s&a)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((s&s)>~((s>a)))>(a&s))
|
~(((k|a)&(k>~((s&a)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|(s&s))|~(~(((k&k)|(k|k))))))
|
((k&k)|(s&((k&(k|k))>k)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((s>a))
|
((a>a)>s)
| 1 | 1 | 1 | 0 |
entailment
|
((((k>(s>a))>s)>s)>(~((a>s))|((k&a)&s)))
|
(((s&a)&(~(a)|k))|((s>k)|(a&a)))
| 1 | 1 | 1 | 1 |
entailment
|
~((s>a))
|
(((s&a)&(~(a)|k))|((s>k)|(a&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k>(s>a))>s)>s)>(~((a>s))|((k&a)&s)))
|
((a>a)>s)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((k>a)|(k&s)))&(k|(~(k)&s)))
|
((~(~(s))|k)&((((s|k)>k)|(k|a))|s))
| 1 | 0 | 1 | 0 |
entailment
|
(k>(~((a|(s>s)))|(~(a)&(a|a))))
|
(s|~((k&(((s>s)|~(((s|k)>a)))>(s|k)))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((k>a)|(k&s)))&(k|(~(k)&s)))
|
(s|~((k&(((s>s)|~(((s|k)>a)))>(s|k)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(k>(~((a|(s>s)))|(~(a)&(a|a))))
|
((~(~(s))|k)&((((s|k)>k)|(k|a))|s))
| 0 | 0 | 1 | 0 |
not entailment
|
((s|(s&((s>k)>k)))|s)
|
(s|(a|a))
| 1 | 1 | 0 | 0 |
entailment
|
~(a)
|
(~(~((((a>s)|((k|a)|s))>s)))>(a>k))
| 1 | 0 | 0 | 0 |
entailment
|
((s|(s&((s>k)>k)))|s)
|
(~(~((((a>s)|((k|a)|s))>s)))>(a>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(a)
|
(s|(a|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&a)
|
(k|(a|((a|k)&a)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(((k>s)>a))|~(((s&s)|(a|(k&~(k))))))
|
(~(((a&((s>k)&~(s)))&(a|k)))|s)
| 1 | 1 | 1 | 1 |
entailment
|
(k&a)
|
(~(((a&((s>k)&~(s)))&(a|k)))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((k>s)>a))|~(((s&s)|(a|(k&~(k))))))
|
(k|(a|((a|k)&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&((s|k)&k))
|
((a&(a&(k&k)))|((s|k)>s))
| 1 | 0 | 1 | 0 |
entailment
|
~((a&a))
|
(((a&a)>(s&a))|s)
| 1 | 0 | 0 | 0 |
entailment
|
(a&((s|k)&k))
|
(((a&a)>(s&a))|s)
| 0 | 0 | 1 | 0 |
not entailment
|
~((a&a))
|
((a&(a&(k&k)))|((s|k)>s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)>s)
|
(((k>s)|(a|a))|s)
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>a)|(a&(s>(~((k|(k&a)))|a)))))
|
~(~((k&(s>(s&((s>(s|s))>(k>k)))))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(s)>s)
|
~(~((k&(s>(s&((s>(s|s))>(k>k)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k>a)|(a&(s>(~((k|(k&a)))|a)))))
|
(((k>s)|(a|a))|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((s>k)>(a&(k&k)))&((s>(k&s))>~((k>a))))
|
(k>s)
| 1 | 1 | 1 | 1 |
entailment
|
(k&a)
|
((~(~(k))>k)&k)
| 1 | 0 | 1 | 0 |
entailment
|
(((s>k)>(a&(k&k)))&((s>(k&s))>~((k>a))))
|
((~(~(k))>k)&k)
| 0 | 1 | 1 | 1 |
not entailment
|
(k&a)
|
(k>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((s|a)&(s|s))|((s>(s|s))>((~(k)|a)>s)))
|
(((s|a)>(s>k))>(~((k|s))>s))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((((k>k)&((k>s)&a))&a)))
|
((((s&a)>k)|~(~(a)))>(s>a))
| 1 | 1 | 1 | 0 |
entailment
|
(((s|a)&(s|s))|((s>(s|s))>((~(k)|a)>s)))
|
((((s&a)>k)|~(~(a)))>(s>a))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((((k>k)&((k>s)&a))&a)))
|
(((s|a)>(s>k))>(~((k|s))>s))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((s|(~(~(k))>k))))&(((k&k)>a)&k))
|
((s|(a&a))&a)
| 1 | 1 | 1 | 1 |
entailment
|
~((k>((s&s)>(a&a))))
|
~(~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((s|(~(~(k))>k))))&(((k&k)>a)&k))
|
~(~(s))
| 0 | 1 | 1 | 1 |
not entailment
|
~((k>((s&s)>(a&a))))
|
((s|(a&a))&a)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((s>a)>(a&~(k))))&s)
|
~(~((a>k)))
| 1 | 1 | 1 | 1 |
entailment
|
~(s)
|
~(((k&s)&k))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((s>a)>(a&~(k))))&s)
|
~(((k&s)&k))
| 0 | 1 | 1 | 0 |
not entailment
|
~(s)
|
~(~((a>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(((s&s)>a)&(k>(s>s))))
|
(a>(k&k))
| 1 | 1 | 1 | 0 |
entailment
|
((((a>k)>(k&s))&a)&((k&a)|a))
|
((k|(a|(~(k)>s)))>(k>a))
| 1 | 1 | 1 | 0 |
entailment
|
(k&(((s&s)>a)&(k>(s>s))))
|
((k|(a|(~(k)>s)))>(k>a))
| 0 | 1 | 1 | 0 |
not entailment
|
((((a>k)>(k&s))&a)&((k&a)|a))
|
(a>(k&k))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((k>~(s)))&a)
|
(a|s)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a&a)|(~(a)&k)))
|
~((((s&a)>k)&k))
| 1 | 1 | 0 | 0 |
entailment
|
(~((k>~(s)))&a)
|
~((((s&a)>k)&k))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((a&a)|(~(a)&k)))
|
(a|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&((~(a)>(s&(a|k)))>k))
|
(((k&a)&a)|((s|a)|((a>(k|k))>(s&(k&s)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((((s>a)|k)|k)>(~((a>(k>a)))|k)))
|
(k>~((s&(a|~(s)))))
| 1 | 1 | 1 | 0 |
entailment
|
(s&((~(a)>(s&(a|k)))>k))
|
(k>~((s&(a|~(s)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((((s>a)|k)|k)>(~((a>(k>a)))|k)))
|
(((k&a)&a)|((s|a)|((a>(k|k))>(s&(k&s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(((s|k)|a)))>(~(k)&((k&(a&a))&k)))
|
((~((s|(a>a)))|a)>~(a))
| 1 | 1 | 1 | 0 |
entailment
|
(k&~(~((k>s))))
|
(((a|s)|(s&a))|k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((s|k)|a)))>(~(k)&((k&(a&a))&k)))
|
(((a|s)|(s&a))|k)
| 0 | 1 | 1 | 0 |
not entailment
|
(k&~(~((k>s))))
|
((~((s|(a>a)))|a)>~(a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((t&~(t))>l)>((p|c)|l)))
|
~((~(t)&(l|t)))
| 1 | 1 | 1 | 1 |
entailment
|
(h&h)
|
(~((h|~(~(t))))>((m|(p&t))|l))
| 1 | 0 | 0 | 0 |
entailment
|
~((((t&~(t))>l)>((p|c)|l)))
|
(~((h|~(~(t))))>((m|(p&t))|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&h)
|
~((~(t)&(l|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&t)
|
(~(~((m&(h&t))))|((~(p)>h)|~(~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((p|~((c>~(t)))))))
|
(((l|c)>t)>(h>((c&c)>((c>l)|(p&m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(p&t)
|
(((l|c)>t)>(h>((c&c)>((c>l)|(p&m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((p|~((c>~(t)))))))
|
(~(~((m&(h&t))))|((~(p)>h)|~(~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m&m)&h))
|
(((m&m)>(h>t))|~((c|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|(~(l)|~((c&c)))))
|
(h>((p|p)>c))
| 1 | 1 | 0 | 0 |
entailment
|
~(((m&m)&h))
|
(h>((p|p)>c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((p|(~(l)|~((c&c)))))
|
(((m&m)>(h>t))|~((c|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c|(t>t))&(h&t))>~(~((t>~(p))))))
|
(p>t)
| 1 | 1 | 1 | 0 |
entailment
|
((p&(c>l))&(l>(m&~(m))))
|
((m&p)>~(c))
| 1 | 1 | 1 | 0 |
entailment
|
~((((c|(t>t))&(h&t))>~(~((t>~(p))))))
|
((m&p)>~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
((p&(c>l))&(l>(m&~(m))))
|
(p>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>(~(((c>p)>(p|l)))&c)))
|
(((~(p)|~((h|m)))&~(m))>(l|l))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(h&h))
|
(((t|t)|(~((l&l))|m))|(p&~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>(~(((c>p)>(p|l)))&c)))
|
(((t|t)|(~((l&l))|m))|(p&~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(h&h))
|
(((~(p)|~((h|m)))&~(m))>(l|l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l&m)|t)&~(p))&(~((p|p))|(l&l)))
|
(t|((c>t)>(p>m)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((l>(l>h))>(h>(m&p))))
|
((h|~(t))|~(~(~((p|~(m))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((l&m)|t)&~(p))&(~((p|p))|(l&l)))
|
((h|~(t))|~(~(~((p|~(m))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l>(l>h))>(h>(m&p))))
|
(t|((c>t)>(p>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(l))&~((c>p)))
|
((~(h)|~(l))>~(~(((l|(p|l))|h))))
| 1 | 0 | 0 | 0 |
entailment
|
((((p&(c>t))&h)>(~(l)|t))&((l>l)&(c>m)))
|
(((((p&(c>h))&t)|h)|~(~((t>m))))|~(c))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(l))&~((c>p)))
|
(((((p&(c>h))&t)|h)|~(~((t>m))))|~(c))
| 0 | 0 | 0 | 0 |
not entailment
|
((((p&(c>t))&h)>(~(l)|t))&((l>l)&(c>m)))
|
((~(h)|~(l))>~(~(((l|(p|l))|h))))
| 0 | 1 | 1 | 0 |
not entailment
|
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