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)|~((e>e))))
|
(m>~(~(((~(l)>f)&(~(l)>k)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((k>(l&((e>m)>m))))
|
(e|((k&k)&((e>l)|((f|f)|(e|f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(l)|~((e>e))))
|
(e|((k&k)&((e>l)|((f|f)|(e|f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k>(l&((e>m)>m))))
|
(m>~(~(((~(l)>f)&(~(l)>k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(m))&k)
|
(~((e&e))|(((e>(k&k))>f)>(l|m)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((e>e))|k)&((((e&~(l))>l)>l)&e))
|
((~((e|f))|(l>l))&e)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(m))&k)
|
((~((e|f))|(l>l))&e)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e>e))|k)&((((e&~(l))>l)>l)&e))
|
(~((e&e))|(((e>(k&k))>f)>(l|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&f)
|
(~((l|m))>l)
| 1 | 0 | 0 | 0 |
entailment
|
(m&f)
|
(f>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
(~((l|m))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
((((((e&~(f))>k)&f)&f)&k)&(e>l))
|
((~((~(e)&(k|(k&l))))>e)|(f>m))
| 1 | 1 | 0 | 0 |
entailment
|
~((k|(l&e)))
|
(k>((~(((~(e)>(k&k))|e))>k)>l))
| 1 | 0 | 1 | 0 |
entailment
|
((((((e&~(f))>k)&f)&f)&k)&(e>l))
|
(k>((~(((~(e)>(k&k))|e))>k)>l))
| 0 | 1 | 1 | 0 |
not entailment
|
~((k|(l&e)))
|
((~((~(e)&(k|(k&l))))>e)|(f>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k|((e&m)>(e|e)))>(k>~((m&k)))))
|
((m|~(k))&m)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((m>(((k&m)>k)&m))&l))|((e&k)&f))
|
((f|f)|~(l))
| 1 | 1 | 1 | 1 |
entailment
|
~(((k|((e&m)>(e|e)))>(k>~((m&k)))))
|
((f|f)|~(l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((m>(((k&m)>k)&m))&l))|((e&k)&f))
|
((m|~(k))&m)
| 0 | 1 | 1 | 1 |
not entailment
|
((e>~(e))&(l&(k&m)))
|
(m|((l|l)>k))
| 1 | 1 | 1 | 0 |
entailment
|
(l&e)
|
(((l|(l&l))>l)&((~((l|m))>f)>e))
| 1 | 0 | 0 | 0 |
entailment
|
((e>~(e))&(l&(k&m)))
|
(((l|(l&l))>l)&((~((l|m))>f)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&e)
|
(m|((l|l)>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((m>f)>e)|m)|f)>(~(((f&m)>f))&~(m)))
|
((l>(l>(k&l)))>((f>(f&m))&(m>((k&e)&m))))
| 1 | 1 | 0 | 0 |
entailment
|
(((e>k)&(~(f)|e))&((((e>k)|f)|(f&f))>k))
|
((k&e)|k)
| 1 | 1 | 1 | 1 |
entailment
|
(((((m>f)>e)|m)|f)>(~(((f&m)>f))&~(m)))
|
((k&e)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e>k)&(~(f)|e))&((((e>k)|f)|(f&f))>k))
|
((l>(l>(k&l)))>((f>(f&m))&(m>((k&e)&m))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(l&e))
|
(((e>e)&(m|k))|(f>~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((m&m)&l)|((l>f)|(f>k))))|(f&(f|k)))
|
(~(~((e>(~(k)&m))))>f)
| 1 | 1 | 0 | 0 |
entailment
|
(m&(l&e))
|
(~(~((e>(~(k)&m))))>f)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((m&m)&l)|((l>f)|(f>k))))|(f&(f|k)))
|
(((e>e)&(m|k))|(f>~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&((m&(~(k)>((k&l)>l)))>(m|(k|f))))
|
((f>e)>e)
| 1 | 1 | 1 | 0 |
entailment
|
(((k>(m&k))>(l|(m>l)))&(m&k))
|
(m>~(~((k|l))))
| 1 | 1 | 1 | 1 |
entailment
|
(e&((m&(~(k)>((k&l)>l)))>(m|(k|f))))
|
(m>~(~((k|l))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((k>(m&k))>(l|(m>l)))&(m&k))
|
((f>e)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((e&l)&k)
|
((f&(m>f))|(e&((k&(m|l))|(f|(f&(m&k))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f&~(e))>(~(m)&(e&~((l|e)))))>k))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
((e&l)&k)
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((f&~(e))>(~(m)&(e&~((l|e)))))>k))
|
((f&(m>f))|(e&((k&(m|l))|(f|(f&(m&k))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(l&m)
|
((l>(k>e))>(~((k>~(f)))>e))
| 1 | 0 | 0 | 0 |
entailment
|
((((k>f)>m)>((m|k)&(m|e)))&f)
|
~(~(f))
| 1 | 1 | 1 | 1 |
entailment
|
(l&m)
|
~(~(f))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k>f)>m)>((m|k)&(m|e)))&f)
|
((l>(k>e))>(~((k>~(f)))>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(m))>(l|f)))
|
((f|l)>e)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((((f|m)>m)>(l>m)))))
|
(((f>~(e))>l)|l)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(m))>(l|f)))
|
(((f>~(e))>l)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((((f|m)>m)>(l>m)))))
|
((f|l)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&m)
|
((~(~(k))|k)|(f>(l|l)))
| 1 | 0 | 0 | 0 |
entailment
|
((m|(m|m))&~((k|(l&m))))
|
(l>f)
| 1 | 1 | 0 | 0 |
entailment
|
(l&m)
|
(l>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((m|(m|m))&~((k|(l&m))))
|
((~(~(k))|k)|(f>(l|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r|(r>r)))|((r>(k>k))&p))
|
(~(((r>r)|~((r>k))))|p)
| 1 | 1 | 1 | 1 |
entailment
|
(k|~(~((r&k))))
|
((~(~(r))&((k|r)|p))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(~((r|(r>r)))|((r>(k>k))&p))
|
((~(~(r))&((k|r)|p))|k)
| 0 | 1 | 1 | 1 |
not entailment
|
(k|~(~((r&k))))
|
(~(((r>r)|~((r>k))))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((r>k)>r)&(p|r))&((r|k)|k))&~((p&r)))
|
(r|~(~(~((p&(~((k&k))|r))))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(p)>(k&((r>(r&r))&k)))>r))
|
(((p>k)&((p>r)>r))>(~((p>k))|p))
| 1 | 1 | 1 | 0 |
entailment
|
(((((r>k)>r)&(p|r))&((r|k)|k))&~((p&r)))
|
(((p>k)&((p>r)>r))>(~((p>k))|p))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~(p)>(k&((r>(r&r))&k)))>r))
|
(r|~(~(~((p&(~((k&k))|r))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((p&(k>p))&r)
|
(~(r)>(r|(k>~(~((r|(p>r)))))))
| 1 | 0 | 1 | 0 |
entailment
|
~(r)
|
(k|~(~((r>~((r|k))))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&(k>p))&r)
|
(k|~(~((r>~((r|k))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(r)
|
(~(r)>(r|(k>~(~((r|(p>r)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&(k&r))>k)&(k&~(r)))
|
((k|~(r))|(p&(r|p)))
| 1 | 1 | 0 | 0 |
entailment
|
(r|(k&r))
|
(((k|(~(p)>(p>p)))|~(p))&(r|(k>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(((k&(k&r))>k)&(k&~(r)))
|
(((k|(~(p)>(p>p)))|~(p))&(r|(k>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|(k&r))
|
((k|~(r))|(p&(r|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&(r|p))
|
((r>p)&(p&(((p|r)|k)&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((k>p)>(r&k))
|
~(~((((((r|r)&(p|p))>(k&r))>k)>k)))
| 1 | 0 | 1 | 0 |
entailment
|
(p&(r|p))
|
~(~((((((r|r)&(p|p))>(k&r))>k)>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>p)>(r&k))
|
((r>p)&(p&(((p|r)|k)&p)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((((p|(k>p))&~(p))|(k&r))>(p>p))&p)
|
(((~(p)>k)>~((r|k)))|(~(p)>((r>p)>r)))
| 1 | 0 | 1 | 0 |
entailment
|
~((r|p))
|
(k|(~(~(~(p)))|((k>k)>k)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((p|(k>p))&~(p))|(k&r))>(p>p))&p)
|
(k|(~(~(~(p)))|((k>k)>k)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((r|p))
|
(((~(p)>k)>~((r|k)))|(~(p)>((r>p)>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p|(r|r))>~((k&((k>k)>(p&(k>p))))))&p)
|
(((r&(~(k)&k))>~(~((r|((k&p)|k)))))>p)
| 1 | 1 | 1 | 0 |
entailment
|
~((((k&r)|k)>(r&(~(~(p))|r))))
|
(r>((k&~(~(~(p))))&p))
| 1 | 1 | 1 | 0 |
entailment
|
(((p|(r|r))>~((k&((k>k)>(p&(k>p))))))&p)
|
(r>((k&~(~(~(p))))&p))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((k&r)|k)>(r&(~(~(p))|r))))
|
(((r&(~(k)&k))>~(~((r|((k&p)|k)))))>p)
| 0 | 0 | 1 | 0 |
not entailment
|
((k>k)>~((p>(k>(p&(r&p))))))
|
(~((r&p))|k)
| 1 | 1 | 1 | 1 |
entailment
|
((~(k)>(k&p))>(r&(r>(p|r))))
|
(~(((k|(p>r))&r))>(r|(k>(p>r))))
| 1 | 0 | 1 | 0 |
entailment
|
((k>k)>~((p>(k>(p&(r&p))))))
|
(~(((k|(p>r))&r))>(r|(k>(p>r))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(k)>(k&p))>(r&(r>(p|r))))
|
(~((r&p))|k)
| 0 | 1 | 1 | 0 |
not entailment
|
((k|r)&(((r>r)|(k|k))&(k&r)))
|
((k|r)&((p|p)>k))
| 1 | 1 | 0 | 0 |
entailment
|
~(((k&p)&p))
|
((p&k)>~((r&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((k|r)&(((r>r)|(k|k))&(k&r)))
|
((p&k)>~((r&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&p)&p))
|
((k|r)&((p|p)>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&k)
|
(k&k)
| 1 | 1 | 1 | 1 |
entailment
|
((k>k)>p)
|
(((r|k)|p)&p)
| 1 | 0 | 0 | 0 |
entailment
|
(k&k)
|
(((r|k)|p)&p)
| 0 | 0 | 0 | 0 |
not entailment
|
((k>k)>p)
|
(k&k)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((p|k)|(p>p))&(p>k)))
|
(((k&r)>k)>~(~(p)))
| 1 | 1 | 0 | 0 |
entailment
|
((r>((r&p)&k))&k)
|
(~((~(p)|(k&~(~(p)))))>k)
| 1 | 0 | 1 | 0 |
entailment
|
~((((p|k)|(p>p))&(p>k)))
|
(~((~(p)|(k&~(~(p)))))>k)
| 0 | 0 | 1 | 0 |
not entailment
|
((r>((r&p)&k))&k)
|
(((k&r)>k)>~(~(p)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(r)&~(((p>k)>((p&p)>(p&r)))))
|
(~((r&r))&(p|r))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((k>(k|k))|(~(k)|r)))|r)
|
(r|r)
| 1 | 1 | 1 | 1 |
entailment
|
(~(r)&~(((p>k)>((p&p)>(p&r)))))
|
(r|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((k>(k|k))|(~(k)|r)))|r)
|
(~((r&r))&(p|r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p>r)&((r&r)|(k&r))))
|
(~(p)|((r&(k>(k&k)))>~(k)))
| 1 | 0 | 1 | 0 |
entailment
|
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