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 |
|---|---|---|---|---|---|---|
(l&(~(~((p&l)))&(m&m)))
|
((p>l)>m)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((p>~((((m|m)>m)|(l>m))))))
|
(~((((l|p)>l)>(p&l)))|~(m))
| 1 | 1 | 1 | 0 |
entailment
|
(l&(~(~((p&l)))&(m&m)))
|
(~((((l|p)>l)>(p&l)))|~(m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((p>~((((m|m)>m)|(l>m))))))
|
((p>l)>m)
| 0 | 1 | 1 | 0 |
not entailment
|
((m&l)&((m|l)|l))
|
(((l&m)|~(((l>l)|~((p>(m|p))))))&m)
| 1 | 0 | 0 | 0 |
entailment
|
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l)))
|
((l&((p|l)&(l>p)))|p)
| 1 | 1 | 1 | 1 |
entailment
|
((m&l)&((m|l)|l))
|
((l&((p|l)&(l>p)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l)))
|
(((l&m)|~(((l>l)|~((p>(m|p))))))&m)
| 0 | 1 | 1 | 1 |
not entailment
|
((~((m>l))|(l>p))|(m&m))
|
(((l|l)|p)>((~(p)>~(m))>p))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((m|m)>~((p|p))))|(l&l))
|
((((l&l)&l)|l)|~(~(p)))
| 1 | 1 | 1 | 1 |
entailment
|
((~((m>l))|(l>p))|(m&m))
|
((((l&l)&l)|l)|~(~(p)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((m|m)>~((p|p))))|(l&l))
|
(((l|l)|p)>((~(p)>~(m))>p))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((p>m)&((p&p)|l))|(l&m)))&m)
|
(~((l&(m|m)))|p)
| 1 | 1 | 1 | 1 |
entailment
|
(l|((l>l)>l))
|
~(~(((l&(m&p))|l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((p>m)&((p&p)|l))|(l&m)))&m)
|
~(~(((l&(m&p))|l)))
| 0 | 1 | 1 | 0 |
not entailment
|
(l|((l>l)>l))
|
(~((l&(m|m)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(m)>~(l))
|
((l>m)|~(l))
| 1 | 1 | 1 | 1 |
entailment
|
(~(p)&l)
|
(p>((~(~(m))|(l|p))&(p>(p>~(l)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(m)>~(l))
|
(p>((~(~(m))|(l|p))&(p>(p>~(l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)&l)
|
((l>m)|~(l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p)
|
(~(l)>(l|(~(m)|(p|l))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((p|p)|(p|l)))
|
(~(p)|(l>m))
| 1 | 1 | 0 | 0 |
entailment
|
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p)
|
(~(p)|(l>m))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p|p)|(p|l)))
|
(~(l)>(l|(~(m)|(p|l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&(f|b))>(((b>f)>f)>j))>(h&k))
|
(k>~(~(((j>h)|~(~(h))))))
| 1 | 1 | 1 | 0 |
entailment
|
(((h&h)&~(h))|f)
|
(((h&~((h|b)))>h)&f)
| 1 | 0 | 0 | 0 |
entailment
|
(((k&(f|b))>(((b>f)>f)>j))>(h&k))
|
(((h&~((h|b)))>h)&f)
| 0 | 1 | 1 | 0 |
not entailment
|
(((h&h)&~(h))|f)
|
(k>~(~(((j>h)|~(~(h))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&k)
|
((((k>k)&(f|k))|(n&n))|~((j&j)))
| 1 | 0 | 0 | 0 |
entailment
|
~((k|h))
|
(((~(k)&(f&k))|(~((n>h))|h))|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)&k)
|
(((~(k)&(f&k))|(~((n>h))|h))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k|h))
|
((((k>k)&(f|k))|(n&n))|~((j&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((f|(n|f))&k))&(~((f|f))|h)))
|
((k&(k|f))|f)
| 1 | 1 | 1 | 1 |
entailment
|
(((h|n)>b)&(~(h)>b))
|
((n>(~(n)&n))|b)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((f|(n|f))&k))&(~((f|f))|h)))
|
((n>(~(n)&n))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h|n)>b)&(~(h)>b))
|
((k&(k|f))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&j)
|
(~((b>(~((b&n))>(n|f))))|k)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(h)&(~((f&f))|(b&b))))
|
(~(((h>h)&f))>h)
| 1 | 1 | 1 | 0 |
entailment
|
(k&j)
|
(~(((h>h)&f))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(h)&(~((f&f))|(b&b))))
|
(~((b>(~((b&n))>(n|f))))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&h)&(h&~(~(j))))
|
(b>(k&k))
| 1 | 1 | 0 | 0 |
entailment
|
(~((h>j))&h)
|
~(((j&h)&(~(j)>h)))
| 1 | 0 | 1 | 0 |
entailment
|
((k&h)&(h&~(~(j))))
|
~(((j&h)&(~(j)>h)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((h>j))&h)
|
(b>(k&k))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&h)
|
(j&(b>(f>j)))
| 1 | 0 | 0 | 0 |
entailment
|
((n&(b&~(j)))&(h|h))
|
(h>(j>n))
| 1 | 1 | 1 | 0 |
entailment
|
(j&h)
|
(h>(j>n))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&(b&~(j)))&(h|h))
|
(j&(b>(f>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(b>b))
|
((((h&f)|f)|h)|~(~(n)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((k|k)))&(~(h)>j)))
|
(~((k&(n>f)))|~(((((b|k)&h)&n)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(f&(b>b))
|
(~((k&(n>f)))|~(((((b|k)&h)&n)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((k|k)))&(~(h)>j)))
|
((((h&f)|f)|h)|~(~(n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((f>k)>b)&(b>k))))
|
(k|f)
| 1 | 1 | 1 | 1 |
entailment
|
~((j>~((~(j)|((b|(n>b))&b)))))
|
(b|(f>n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((f>k)>b)&(b>k))))
|
(b|(f>n))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j>~((~(j)|((b|(n>b))&b)))))
|
(k|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n))
|
(((~(j)|(k&b))|(~(b)|b))&(~(n)|f))
| 1 | 1 | 1 | 0 |
entailment
|
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h)))
|
((b>h)>(b|((h&n)|k)))
| 1 | 1 | 0 | 0 |
entailment
|
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n))
|
((b>h)>(b|((h&n)|k)))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h)))
|
(((~(j)|(k&b))|(~(b)|b))&(~(n)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(k|((b|j)&k))
|
((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f))
| 1 | 0 | 0 | 0 |
entailment
|
(k|((b|j)&k))
|
(f>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>((b>n)&((h|b)|b)))>(b&(j>n)))
|
((n>~(~(~((h|f)))))>b)
| 1 | 1 | 0 | 0 |
entailment
|
((k|(h&j))&h)
|
((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h)
| 1 | 0 | 0 | 0 |
entailment
|
((h>((b>n)&((h|b)|b)))>(b&(j>n)))
|
((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h)
| 0 | 0 | 0 | 0 |
not entailment
|
((k|(h&j))&h)
|
((n>~(~(~((h|f)))))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((h>(f&b))>b)))&(n&n))
|
((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&~(~((~(f)>j))))
|
(~((b|(b&(b>f))))>k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((h>(f&b))>b)))&(n&n))
|
(~((b|(b&(b>f))))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&~(~((~(f)>j))))
|
((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&b)
|
(b|((n>h)>~((b|~(f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&(~((k|~(h)))|~(n)))
|
(~(((k|k)|(~(f)|j)))>n)
| 1 | 1 | 0 | 0 |
entailment
|
(~(h)&b)
|
(~(((k|k)|(~(f)|j)))>n)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(~((k|~(h)))|~(n)))
|
(b|((n>h)>~((b|~(f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&f)
|
(~(((f&j)&f))>(h>b))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((b|h))|(n&h)))&~(~((n|k))))
|
((j>h)|b)
| 1 | 1 | 0 | 0 |
entailment
|
(j&f)
|
((j>h)|b)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((b|h))|(n&h)))&~(~((n|k))))
|
(~(((f&j)&f))>(h>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(h&j))
|
(~(~(k))|(~((k&(f>b)))&j))
| 1 | 0 | 0 | 0 |
entailment
|
~((b>(k|j)))
|
(((b>j)>(b&j))|(k&(j|n)))
| 1 | 0 | 0 | 0 |
entailment
|
(f&(h&j))
|
(((b>j)>(b&j))|(k&(j|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>(k|j)))
|
(~(~(k))|(~((k&(f>b)))&j))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((b>b)>k)&k))
|
(k>(j|(h>j)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~((f&(h>f)))&h)))
|
(~(~(((b>k)>~(((b|b)|(b>n))))))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((b>b)>k)&k))
|
(~(~(((b>k)>~(((b|b)|(b>n))))))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((f&(h>f)))&h)))
|
(k>(j|(h>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|k))
|
~((k&(~(h)|(j|(n|(b&h))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((b&f)|j)))
|
((j>j)&(j|b))
| 1 | 1 | 1 | 0 |
entailment
|
~((f|k))
|
((j>j)&(j|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((b&f)|j)))
|
~((k&(~(h)|(j|(n|(b&h))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f|(h|f))>n)>(h&j))
|
((((b&j)|n)&~(h))>((b>f)|~((k&n))))
| 1 | 0 | 0 | 0 |
entailment
|
~(h)
|
(((n>b)&(j&(k|n)))|(h>~((b|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|(h|f))>n)>(h&j))
|
(((n>b)&(j&(k|n)))|(h>~((b|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(h)
|
((((b&j)|n)&~(h))>((b>f)|~((k&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(n)&(~((f&n))|~((~(b)|(n>f)))))
|
(~((h|n))|~(((f&n)|n)))
| 1 | 1 | 0 | 0 |
entailment
|
(n&k)
|
((n|b)&((k|(k|k))|(j&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(n)&(~((f&n))|~((~(b)|(n>f)))))
|
((n|b)&((k|(k|k))|(j&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&k)
|
(~((h|n))|~(((f&n)|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|b)>((~(((b|k)>b))>b)>~((j&n))))
|
((k&((j&b)&n))>f)
| 1 | 1 | 0 | 0 |
entailment
|
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