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 |
|---|---|---|---|---|---|---|
~((p>v))
|
(v|(((j&f)&q)>(((j&p)&p)&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&~(k))
|
(~(y)>((z>(y&v))|q))
| 1 | 0 | 0 | 0 |
entailment
|
~((p>v))
|
(~(y)>((z>(y&v))|q))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~(k))
|
(v|(((j&f)&q)>(((j&p)&p)&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k|k)&j)
|
(((p&k)&~(j))>(k>v))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~(k))&z)>j))
|
(((p&q)>z)|v)
| 1 | 1 | 0 | 0 |
entailment
|
((k|k)&j)
|
(((p&q)>z)|v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(k))&z)>j))
|
(((p&k)&~(j))>(k>v))
| 0 | 1 | 0 | 0 |
not entailment
|
((v&v)&q)
|
((((z|~(k))>~(j))|(v|z))|~(~(~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
((y&f)&(~(~(~(~(p))))&(y>q)))
|
(~((~(p)|(j&p)))>(~((y>j))|j))
| 1 | 1 | 0 | 0 |
entailment
|
((v&v)&q)
|
(~((~(p)|(j&p)))>(~((y>j))|j))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&f)&(~(~(~(~(p))))&(y>q)))
|
((((z|~(k))>~(j))|(v|z))|~(~(~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&y)
|
(((~((k&z))>p)>z)|v)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((j>q))&(~((~(f)&k))|(j>f)))))
|
(((j|(~(f)>f))>((z&k)>(y&q)))|f)
| 1 | 1 | 0 | 0 |
entailment
|
(v&y)
|
(((j|(~(f)>f))>((z&k)>(y&q)))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((j>q))&(~((~(f)&k))|(j>f)))))
|
(((~((k&z))>p)>z)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((p&v))&~((((j>y)>q)|p)))
|
(((p&(k>y))>(k&(j&(q|v))))|(f|q))
| 1 | 0 | 0 | 0 |
entailment
|
(j&((f|(~((y&(k>f)))&j))|(j|(q>(z&k)))))
|
(((~(j)&p)|~(j))>(p|z))
| 1 | 1 | 0 | 0 |
entailment
|
(~((p&v))&~((((j>y)>q)|p)))
|
(((~(j)&p)|~(j))>(p|z))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&((f|(~((y&(k>f)))&j))|(j|(q>(z&k)))))
|
(((p&(k>y))>(k&(j&(q|v))))|(f|q))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&~(~((((y&(q>q))|q)>~(y)))))&(f&j))
|
(((y|(v&f))|(p>q))>j)
| 1 | 1 | 0 | 0 |
entailment
|
(~(z)&~((f|(y&~(q)))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
((f&~(~((((y&(q>q))|q)>~(y)))))&(f&j))
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(z)&~((f|(y&~(q)))))
|
(((y|(v&f))|(p>q))>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((((b|b)|b)>b)>((b>b)>b))
|
(((b|b)|b)&((b|m)|m))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((m&m)&m)))
|
(m&(m|m))
| 1 | 1 | 1 | 1 |
entailment
|
((((b|b)|b)>b)>((b>b)>b))
|
(m&(m|m))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((m&m)&m)))
|
(((b|b)|b)&((b|m)|m))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m|~(b))>m)&(b|b))&(m>((m>~(b))>m)))
|
((b&b)|b)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((b|m)&m)))
|
(m|((m>b)&((((m&~((m>(b>b))))&b)|m)|m)))
| 1 | 0 | 1 | 0 |
entailment
|
((((m|~(b))>m)&(b|b))&(m>((m>~(b))>m)))
|
(m|((m>b)&((((m&~((m>(b>b))))&b)|m)|m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((b|m)&m)))
|
((b&b)|b)
| 0 | 1 | 1 | 1 |
not entailment
|
(((b|m)&(m>(b|m)))|(~((~(b)|m))|m))
|
(((b|m)|b)|((((m&m)|~(m))>(b&m))&(b|m)))
| 1 | 0 | 1 | 1 |
entailment
|
~(b)
|
((m&(m>m))|(b>m))
| 1 | 0 | 0 | 0 |
entailment
|
(((b|m)&(m>(b|m)))|(~((~(b)|m))|m))
|
((m&(m>m))|(b>m))
| 0 | 1 | 1 | 0 |
not entailment
|
~(b)
|
(((b|m)|b)|((((m&m)|~(m))>(b&m))&(b|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((m|b))>b)|(m&m))&~(m))
|
(((b&b)>b)>~(~(b)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((m&(b>((b>(b|b))>m)))))
|
(((b>m)&m)|((~(m)>b)&m))
| 1 | 1 | 1 | 1 |
entailment
|
(((~((m|b))>b)|(m&m))&~(m))
|
(((b>m)&m)|((~(m)>b)&m))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((m&(b>((b>(b|b))>m)))))
|
(((b&b)>b)>~(~(b)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(m)>~((m>m)))
|
~(~(m))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((b|(~(m)&m))))
|
((~(((m|b)|b))>m)&(b|b))
| 1 | 0 | 1 | 1 |
entailment
|
(~(m)>~((m>m)))
|
((~(((m|b)|b))>m)&(b|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((b|(~(m)&m))))
|
~(~(m))
| 0 | 1 | 1 | 1 |
not entailment
|
((m&b)|b)
|
(b|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((m>(b>(((b>b)>m)&(m|m)))))|b))
|
~((((m&(b>~((b|m))))>m)&b))
| 1 | 1 | 1 | 1 |
entailment
|
((m&b)|b)
|
~((((m&(b>~((b|m))))>m)&b))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((m>(b>(((b>b)>m)&(m|m)))))|b))
|
(b|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m&(b|b))
|
(b&b)
| 1 | 1 | 1 | 1 |
entailment
|
~((m|b))
|
~((b|~(~(m))))
| 1 | 0 | 1 | 1 |
entailment
|
(m&(b|b))
|
~((b|~(~(m))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((m|b))
|
(b&b)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((b&~(m))))
|
(~((m>(m&b)))>((m&b)&m))
| 1 | 0 | 1 | 0 |
entailment
|
(m&~(b))
|
((~((b>b))>~(m))>(((b&b)&(m&b))|m))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((b&~(m))))
|
((~((b>b))>~(m))>(((b&b)&(m&b))|m))
| 0 | 0 | 1 | 0 |
not entailment
|
(m&~(b))
|
(~((m>(m&b)))>((m&b)&m))
| 0 | 0 | 1 | 0 |
not entailment
|
((m>b)&(((m&b)>(m>b))&(b>(b>m))))
|
(~(b)>~((m&m)))
| 1 | 1 | 1 | 1 |
entailment
|
(m&(m|~(b)))
|
(((b&m)&(m|m))|m)
| 1 | 0 | 1 | 0 |
entailment
|
((m>b)&(((m&b)>(m>b))&(b>(b>m))))
|
(((b&m)&(m|m))|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m&(m|~(b)))
|
(~(b)>~((m&m)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((b>~(b))|b)>b)
|
(((b>(m&m))>(m>b))>((b>b)&(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((m|m)&b)|((b|((m&b)|m))|(m|m))))
|
(~(~(((m&m)|m)))|(b>m))
| 1 | 1 | 1 | 0 |
entailment
|
(((b>~(b))|b)>b)
|
(~(~(((m&m)|m)))|(b>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m|m)&b)|((b|((m&b)|m))|(m|m))))
|
(((b>(m&m))>(m>b))>((b>b)&(b|b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b&m)
|
((m>((m>~((b>b)))|m))>m)
| 1 | 0 | 1 | 0 |
entailment
|
(b>(((b&b)>m)&~(b)))
|
(m>~(((((b|b)|(b|b))|b)&b)))
| 1 | 0 | 1 | 0 |
entailment
|
(b&m)
|
(m>~(((((b|b)|(b|b))|b)&b)))
| 0 | 0 | 1 | 0 |
not entailment
|
(b>(((b&b)>m)&~(b)))
|
((m>((m>~((b>b)))|m))>m)
| 0 | 0 | 1 | 0 |
not entailment
|
((m>~(((~(m)>m)&b)))>b)
|
((~((~(m)&m))|m)>b)
| 1 | 1 | 1 | 0 |
entailment
|
~(((m>b)&(m>~((~(m)&b)))))
|
(((m&m)|(((m&(m>m))>m)|m))>(m&m))
| 1 | 0 | 1 | 1 |
entailment
|
((m>~(((~(m)>m)&b)))>b)
|
(((m&m)|(((m&(m>m))>m)|m))>(m&m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((m>b)&(m>~((~(m)&b)))))
|
((~((~(m)&m))|m)>b)
| 0 | 1 | 1 | 1 |
not entailment
|
(((((b|m)>m)|~((b>m)))|(b>b))&(b&b))
|
(~(b)>(b|b))
| 1 | 1 | 1 | 1 |
entailment
|
(m|(m&b))
|
((m|(b|m))>m)
| 1 | 0 | 1 | 0 |
entailment
|
(((((b|m)>m)|~((b>m)))|(b>b))&(b&b))
|
((m|(b|m))>m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m|(m&b))
|
(~(b)>(b|b))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~((~(~(~((b&m))))>(m&b))))
|
~(~(((b&b)|m)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(m)))
|
(m>(~((b|(b>m)))&(m>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~(~((b&m))))>(m&b))))
|
(m>(~((b|(b>m)))&(m>m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(m)))
|
~(~(((b&b)|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&e)|k)
|
((~(((m&~(f))|f))>(k|f))|(f|e))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
(m>(f>(((m|l)>((f&(k>l))|(f>f)))>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((l&e)|k)
|
(m>(f>(((m|l)>((f&(k>l))|(f>f)))>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
((~(((m&~(f))|f))>(k|f))|(f|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&e)|(f>~((e|(~((m|~(k)))&m))))))
|
(((m|m)|m)>f)
| 1 | 1 | 1 | 1 |
entailment
|
(l&k)
|
(k|l)
| 1 | 1 | 1 | 1 |
entailment
|
~(((k&e)|(f>~((e|(~((m|~(k)))&m))))))
|
(k|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&k)
|
(((m|m)|m)>f)
| 0 | 0 | 0 | 0 |
not entailment
|
(e|(m&((m&m)&(f&f))))
|
(~((((m>~(m))>l)&~(k)))>(e|f))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(~((e>(m&m))))>l))&(f>(l>~(m))))
|
(~(((k|l)&l))|(f|(l&(f&l))))
| 1 | 1 | 0 | 0 |
entailment
|
(e|(m&((m&m)&(f&f))))
|
(~(((k|l)&l))|(f|(l&(f&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(~((e>(m&m))))>l))&(f>(l>~(m))))
|
(~((((m>~(m))>l)&~(k)))>(e|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(f&l))
|
((((e|(f&l))>(m&k))|(f>l))|m)
| 1 | 0 | 0 | 0 |
entailment
|
((e>((m&(e|(l&e)))|(k&(m>l))))>e)
|
((((m&~(e))&(e|k))&m)>(l&(m>e)))
| 1 | 1 | 1 | 0 |
entailment
|
(l&(f&l))
|
((((m&~(e))&(e|k))&m)>(l&(m>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>((m&(e|(l&e)))|(k&(m>l))))>e)
|
((((e|(f&l))>(m&k))|(f>l))|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(l)|((f>k)>f)))
|
(k|~((l>~((l>~(f))))))
| 1 | 0 | 1 | 0 |
entailment
|
((m&e)&~((l&m)))
|
((e&m)&(~(~((e|(m|k))))&m))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(l)|((f>k)>f)))
|
((e&m)&(~(~((e|(m|k))))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&e)&~((l&m)))
|
(k|~((l>~((l>~(f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
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