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 |
|---|---|---|---|---|---|---|
((((m&p)&(m&c))&~(((l>(~(c)>c))>c)))|p)
|
(t>p)
| 1 | 1 | 0 | 0 |
entailment
|
((h&p)>(l&~(l)))
|
((h>(m>((c>l)|t)))|~(p))
| 1 | 0 | 0 | 0 |
entailment
|
((((m&p)&(m&c))&~(((l>(~(c)>c))>c)))|p)
|
((h>(m>((c>l)|t)))|~(p))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&p)>(l&~(l)))
|
(t>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h>c)|~((~(c)|t))))
|
(p|~(~((c>(((~(p)|m)|t)>(t&~(m)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(c))&l)
|
((~(l)>(l>~(l)))>(h>((p|l)&(p>(m|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h>c)|~((~(c)|t))))
|
((~(l)>(l>~(l)))>(h>((p|l)&(p>(m|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(c))&l)
|
(p|~(~((c>(((~(p)|m)|t)>(t&~(m)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l|(c&(m|(h&h)))))
|
~((l&((((h>(t&(h>m)))|(m|t))|p)>p)))
| 1 | 0 | 0 | 0 |
entailment
|
((((t&t)|p)>~(((p>c)>~(h))))&(m>h))
|
~(~(((m|c)|(p>h))))
| 1 | 1 | 1 | 0 |
entailment
|
~((l|(c&(m|(h&h)))))
|
~(~(((m|c)|(p>h))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((t&t)|p)>~(((p>c)>~(h))))&(m>h))
|
~((l&((((h>(t&(h>m)))|(m|t))|p)>p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t>(~(c)&m))|p))
|
((h&h)|(l>(t|c)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(m))
|
((h|(t>h))>m)
| 1 | 0 | 0 | 0 |
entailment
|
~(((t>(~(c)&m))|p))
|
((h|(t>h))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(m))
|
((h&h)|(l>(t|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>l))
|
((((t|((c&h)|c))>(l&p))>t)&(m|((p>c)|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|h)&l)|~(~((l&(c>l)))))
|
((m|((m|l)>p))>(h|(l|l)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c>l))
|
((m|((m|l)>p))>(h|(l|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|h)&l)|~(~((l&(c>l)))))
|
((((t|((c&h)|c))>(l&p))>t)&(m|((p>c)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h&(~(((h&c)>c))|(m>c))))&(h&p))
|
(l>p)
| 1 | 1 | 0 | 0 |
entailment
|
((c&(t&l))&(h&c))
|
~(((c>((t|t)|p))>~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((h&(~(((h&c)>c))|(m>c))))&(h&p))
|
~(((c>((t|t)|p))>~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&(t&l))&(h&c))
|
(l>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>~(p)))
|
(((t&p)|(t&l))>(h&(h&h)))
| 1 | 0 | 0 | 0 |
entailment
|
((((m&p)>l)>t)&((~(l)>l)&~(c)))
|
((t|m)|(c>(l&l)))
| 1 | 1 | 1 | 1 |
entailment
|
~((h>~(p)))
|
((t|m)|(c>(l&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m&p)>l)>t)&((~(l)>l)&~(c)))
|
(((t&p)|(t&l))>(h&(h&h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&h)
|
((h&(h|~(d)))|((h&h)|h))
| 1 | 0 | 1 | 0 |
entailment
|
(((h&h)>(d&~(d)))&(((d&d)|h)&(h>d)))
|
~((h&d))
| 1 | 1 | 1 | 1 |
entailment
|
(d&h)
|
~((h&d))
| 0 | 0 | 1 | 0 |
not entailment
|
(((h&h)>(d&~(d)))&(((d&d)|h)&(h>d)))
|
((h&(h|~(d)))|((h&h)|h))
| 0 | 1 | 1 | 1 |
not entailment
|
~((d>~(~(~(((d>d)>((d|d)&(h|d))))))))
|
((d>(h>h))>((d&h)|d))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((((h>d)>(h&h))>(h>(d&d))))))
|
(d>((h&~(d))|(d&h)))
| 1 | 1 | 1 | 0 |
entailment
|
~((d>~(~(~(((d>d)>((d|d)&(h|d))))))))
|
(d>((h&~(d))|(d&h)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((((h>d)>(h&h))>(h>(d&d))))))
|
((d>(h>h))>((d&h)|d))
| 0 | 1 | 1 | 0 |
not entailment
|
(d|d)
|
(h|d)
| 1 | 1 | 0 | 0 |
entailment
|
(d>(h>(d>~(h))))
|
((((d&d)>(h|h))>d)>~(((d|d)>h)))
| 1 | 0 | 1 | 0 |
entailment
|
(d|d)
|
((((d&d)>(h|h))>d)>~(((d|d)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d>(h>(d>~(h))))
|
(h|d)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(h))
|
((((d>h)>((d&d)&d))>((d|d)&~(~(h))))>h)
| 1 | 0 | 0 | 0 |
entailment
|
((h|~(~(d)))>d)
|
~((h&~(((d|~(h))&~(~((d&d)))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(h))
|
~((h&~(((d|~(h))&~(~((d&d)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|~(~(d)))>d)
|
((((d>h)>((d&d)&d))>((d|d)&~(~(h))))>h)
| 0 | 0 | 1 | 0 |
not entailment
|
~((((d&(h>~(~(d))))&d)&d))
|
(d>h)
| 1 | 1 | 1 | 1 |
entailment
|
((h|(~(h)&(d&d)))&(d&d))
|
((~(((~((h>d))&h)|h))>d)|h)
| 1 | 0 | 1 | 0 |
entailment
|
~((((d&(h>~(~(d))))&d)&d))
|
((~(((~((h>d))&h)|h))>d)|h)
| 0 | 1 | 1 | 0 |
not entailment
|
((h|(~(h)&(d&d)))&(d&d))
|
(d>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(h&h))
|
(h&h)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((~(~(h))&d)&d))&d)
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(h&(h&h))
|
(d&d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(~(h))&d)&d))&d)
|
(h&h)
| 0 | 1 | 1 | 0 |
not entailment
|
(d&((h&d)&d))
|
(h|(h&h))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((d>d))>~(h))>h))
|
~((~(h)>(h&d)))
| 1 | 1 | 1 | 1 |
entailment
|
(d&((h&d)&d))
|
~((~(h)>(h&d)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~((d>d))>~(h))>h))
|
(h|(h&h))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((d&(h>h)))>((~(d)|((h&h)|h))|d))&h)
|
((~(h)>d)|(h&d))
| 1 | 1 | 1 | 1 |
entailment
|
(((h|h)&((d|(((d|h)&h)&h))&d))|((h>d)|d))
|
((((h&h)&h)>(d|d))|~((d|~(d))))
| 1 | 1 | 1 | 0 |
entailment
|
((~((d&(h>h)))>((~(d)|((h&h)|h))|d))&h)
|
((((h&h)&h)>(d|d))|~((d|~(d))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((h|h)&((d|(((d|h)&h)&h))&d))|((h>d)|d))
|
((~(h)>d)|(h&d))
| 0 | 1 | 1 | 1 |
not entailment
|
~((d>~(~(~(h)))))
|
(h|h)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(h)>(d&d))&d)&~(((h&(d>h))&d)))
|
(d>(~((d>h))&d))
| 1 | 1 | 1 | 1 |
entailment
|
~((d>~(~(~(h)))))
|
(d>(~((d>h))&d))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(h)>(d&d))&d)&~(((h&(d>h))&d)))
|
(h|h)
| 0 | 1 | 1 | 1 |
not entailment
|
(d|d)
|
((~((h|d))&~((((d&d)&d)|h)))>((h|d)&d))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)|(d&h))
|
(~(~(h))|(~(d)|~(~(h))))
| 1 | 0 | 1 | 1 |
entailment
|
(d|d)
|
(~(~(h))|(~(d)|~(~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)|(d&h))
|
((~((h|d))&~((((d&d)&d)|h)))>((h|d)&d))
| 0 | 0 | 1 | 1 |
not entailment
|
(((~(j)&(n&f))&e)&((x|(t|k))&h))
|
(((t|j)>~((f>((l>x)&(j&x)))))|f)
| 1 | 1 | 0 | 0 |
entailment
|
(l&((~(~(x))&(h&r))&((f&x)|((l&x)>r))))
|
((n|n)>((e|(r>h))&(x|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(j)&(n&f))&e)&((x|(t|k))&h))
|
((n|n)>((e|(r>h))&(x|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&((~(~(x))&(h&r))&((f&x)|((l&x)>r))))
|
(((t|j)>~((f>((l>x)&(j&x)))))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n&x)>((l|r)&l)))
|
(l>(e>h))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((h&(n|j))|k)))
|
((f|k)|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((n&x)>((l|r)&l)))
|
((f|k)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((h&(n|j))|k)))
|
(l>(e>h))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(x)>r)&((~((h>k))&(l>(n&(x|x))))&l))
|
(~((t>l))|((j|j)>(l|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(((n&(x&j))|~(r))>(((l|l)&~(x))&e)))
|
(((~(h)&(n|r))|~(x))|r)
| 1 | 1 | 1 | 0 |
entailment
|
((~(x)>r)&((~((h>k))&(l>(n&(x|x))))&l))
|
(((~(h)&(n|r))|~(x))|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(((n&(x&j))|~(r))>(((l|l)&~(x))&e)))
|
(~((t>l))|((j|j)>(l|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&n)|f)
|
(~(h)>((n|f)|(((l>n)>((f&j)&j))&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>((r&~(k))|(e|(l|f)))))
|
(~(((r|(j|h))|h))|x)
| 1 | 1 | 0 | 0 |
entailment
|
((h&n)|f)
|
(~(((r|(j|h))|h))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>((r&~(k))|(e|(l|f)))))
|
(~(h)>((n|f)|(((l>n)>((f&j)&j))&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&(h&n))&k)
|
((r|l)>(l>((n&l)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(((l&l)&x))&x)|h)&(h|t)))
|
~(((n>(e|n))&(~((f&n))&h)))
| 1 | 1 | 0 | 0 |
entailment
|
((l&(h&n))&k)
|
~(((n>(e|n))&(~((f&n))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(((l&l)&x))&x)|h)&(h|t)))
|
((r|l)>(l>((n&l)|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((j>(h|x)))|(e|(n&n))))
|
((t&n)>((~((~(k)>e))|k)|((x>t)>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(f)|n)&l)
|
((e|h)>(l|(~((~(l)&f))|~((x&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((j>(h|x)))|(e|(n&n))))
|
((e|h)>(l|(~((~(l)&f))|~((x&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)|n)&l)
|
((t&n)>((~((~(k)>e))|k)|((x>t)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(e)))&r)
|
((~((x|f))|n)>(e>f))
| 1 | 0 | 0 | 0 |
entailment
|
(j&~(~(~(l))))
|
(~((k&n))|(l>t))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(e)))&r)
|
(~((k&n))|(l>t))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~(~(~(l))))
|
((~((x|f))|n)>(e>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((f|l)&(((r>k)&((l|t)|r))&e)))
|
(((k>e)|((x&f)&(h&k)))|~(r))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t&r)>l))
|
(t|~(h))
| 1 | 1 | 0 | 0 |
entailment
|
(r&((f|l)&(((r>k)&((l|t)|r))&e)))
|
(t|~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t&r)>l))
|
(((k>e)|((x&f)&(h&k)))|~(r))
| 0 | 0 | 0 | 0 |
not entailment
|
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