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|m)&(p>(u&~(l))))&(p>(u>(p>(l&u)))))
|
((~(~(m))&(l&u))>(p|p))
| 0 | 1 | 1 | 0 |
not entailment
|
~((l>(m|p)))
|
((~(((u&p)>u))|(~((m&l))>m))|((p|u)&u))
| 0 | 0 | 0 | 0 |
not entailment
|
(p>(u&~((l|~((m&u))))))
|
(((m|p)|((m&m)|(p|p)))>((u|p)>m))
| 1 | 0 | 1 | 0 |
entailment
|
(u&l)
|
~(~(((~(m)>l)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(p>(u&~((l|~((m&u))))))
|
~(~(((~(m)>l)>l)))
| 0 | 1 | 1 | 0 |
not entailment
|
(u&l)
|
(((m|p)|((m&m)|(p|p)))>((u|p)>m))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>p)>m)
|
(~((((l|(u>u))|p)>(l>m)))>(p&p))
| 1 | 0 | 0 | 0 |
entailment
|
((u|(l&u))&((~(l)>~((m>u)))>~((u&p))))
|
(u|~(~((((m&p)>m)&p))))
| 1 | 1 | 1 | 0 |
entailment
|
((p>p)>m)
|
(u|~(~((((m&p)>m)&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|(l&u))&((~(l)>~((m>u)))>~((u&p))))
|
(~((((l|(u>u))|p)>(l>m)))>(p&p))
| 0 | 1 | 1 | 0 |
not entailment
|
~((m|(u|((p|m)>(p>(u&(l>m)))))))
|
((p|u)>(m>(((u>p)|(m|l))>u)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((m>(u|m)))|m)
|
(u|(~(l)>m))
| 1 | 1 | 0 | 0 |
entailment
|
~((m|(u|((p|m)>(p>(u&(l>m)))))))
|
(u|(~(l)>m))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((m>(u|m)))|m)
|
((p|u)>(m>(((u>p)|(m|l))>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&~((l>(u&(((l&m)&~(u))|(p|p))))))
|
(~(~((p|~((u|~(p))))))|m)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~(~((((p&u)>l)&p))))>(p&(l>m))))
|
((p&p)>(m&u))
| 1 | 1 | 1 | 0 |
entailment
|
(m&~((l>(u&(((l&m)&~(u))|(p|p))))))
|
((p&p)>(m&u))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~(~((((p&u)>l)&p))))>(p&(l>m))))
|
(~(~((p|~((u|~(p))))))|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(((p|m)&u)&m)
|
~(~((u>((u&(m&(m|u)))|~((u|m))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(p)>l)
|
(((m|l)>p)|((p>(p>u))&l))
| 1 | 0 | 0 | 0 |
entailment
|
(((p|m)&u)&m)
|
(((m|l)>p)|((p>(p>u))&l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)>l)
|
~(~((u>((u&(m&(m|u)))|~((u|m))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l>(((m>(p>u))>(m&u))|p))&l)&m)&l)
|
((l&m)|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((((u>m)>(p&u))>p))
|
~((u>m))
| 1 | 1 | 1 | 1 |
entailment
|
((((l>(((m>(p>u))>(m&u))|p))&l)&m)&l)
|
~((u>m))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((u>m)>(p&u))>p))
|
((l&m)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((((u&~(m))>m)>~(~(u)))&(p|m))
|
(~((u|m))|(((l|p)|u)|(p&((l|p)>l))))
| 1 | 0 | 0 | 0 |
entailment
|
((u>m)&(m|~(u)))
|
(u>((u&l)>m))
| 1 | 1 | 0 | 0 |
entailment
|
((((u&~(m))>m)>~(~(u)))&(p|m))
|
(u>((u&l)>m))
| 0 | 1 | 0 | 0 |
not entailment
|
((u>m)&(m|~(u)))
|
(~((u|m))|(((l|p)|u)|(p&((l|p)>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m|p)|~(~((u>(p&(p|m)))))))
|
(l|u)
| 1 | 1 | 0 | 0 |
entailment
|
((p&p)|m)
|
(~(p)>(m&m))
| 1 | 0 | 1 | 1 |
entailment
|
~(((m|p)|~(~((u>(p&(p|m)))))))
|
(~(p)>(m&m))
| 0 | 1 | 1 | 0 |
not entailment
|
((p&p)|m)
|
(l|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((l&p)&(l>(l&m)))
|
(l>(u>(p&(u&m))))
| 1 | 1 | 0 | 0 |
entailment
|
((u|p)&(u&(l>(l&u))))
|
((l|l)>u)
| 1 | 1 | 1 | 1 |
entailment
|
((l&p)&(l>(l&m)))
|
((l|l)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
((u|p)&(u&(l>(l&u))))
|
(l>(u>(p&(u&m))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((p|((m&u)>(u&l))))|(u&(u&p)))
|
(l>(p&(m|u)))
| 1 | 1 | 1 | 1 |
entailment
|
(((l|m)&(u>~(m)))&(p&(((p&u)|u)>m)))
|
(l|(~((m|m))|(l|p)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((p|((m&u)>(u&l))))|(u&(u&p)))
|
(l|(~((m|m))|(l|p)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((l|m)&(u>~(m)))&(p&(((p&u)|u)>m)))
|
(l>(p&(m|u)))
| 0 | 1 | 1 | 0 |
not entailment
|
((l&~(~(((p|u)&(l|l)))))&(l&m))
|
((m&(p>p))|(l>u))
| 1 | 1 | 1 | 0 |
entailment
|
(u>~((~(((u|m)&l))|(l|m))))
|
((p&m)>~(u))
| 1 | 1 | 0 | 0 |
entailment
|
((l&~(~(((p|u)&(l|l)))))&(l&m))
|
((p&m)>~(u))
| 0 | 1 | 1 | 0 |
not entailment
|
(u>~((~(((u|m)&l))|(l|m))))
|
((m&(p>p))|(l>u))
| 0 | 1 | 0 | 0 |
not entailment
|
((p&m)&u)
|
(p>((p|l)>m))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((p>~(~(l)))))
|
~(((p&~(l))&(u>(l|(u|m)))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&m)&u)
|
~(((p&~(l))&(u>(l|(u|m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((p>~(~(l)))))
|
(p>((p|l)>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((p&l))>l)
|
(u>((u>l)|p))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((u>l)&l))&((m|(l>((l&u)&u)))>(m|p)))
|
(~(l)|(m|(l>(u&m))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((p&l))>l)
|
(~(l)|(m|(l>(u&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((u>l)&l))&((m|(l>((l&u)&u)))>(m|p)))
|
(u>((u>l)|p))
| 0 | 1 | 1 | 1 |
not entailment
|
((l&d)|~(((d>l)|(d&d))))
|
~((~(((d&l)&(l|d)))&l))
| 1 | 1 | 1 | 1 |
entailment
|
~((l>(l>(l>d))))
|
(d>(~((d|((l>d)>l)))&~(~(l))))
| 1 | 0 | 1 | 0 |
entailment
|
((l&d)|~(((d>l)|(d&d))))
|
(d>(~((d|((l>d)>l)))&~(~(l))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((l>(l>(l>d))))
|
~((~(((d&l)&(l|d)))&l))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((d|(d&l))|(l&l)))
|
((l&~(l))|~((l|l)))
| 1 | 1 | 1 | 0 |
entailment
|
((d&((~(l)>d)|(l>l)))|(d|(d&d)))
|
((~(d)>((l&d)|d))|~(~(d)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((d|(d&l))|(l&l)))
|
((~(d)>((l&d)|d))|~(~(d)))
| 0 | 0 | 1 | 0 |
not entailment
|
((d&((~(l)>d)|(l>l)))|(d|(d&d)))
|
((l&~(l))|~((l|l)))
| 0 | 1 | 1 | 1 |
not entailment
|
(d|d)
|
(d|(d&l))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|~(l)))
|
((d&~(~((l|d))))>l)
| 1 | 0 | 1 | 0 |
entailment
|
(d|d)
|
((d&~(~((l|d))))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
~((d|~(l)))
|
(d|(d&l))
| 0 | 1 | 1 | 0 |
not entailment
|
((d|(l>d))&(~((d|d))|l))
|
(((l|~((d>d)))>~((d&((l>d)|d))))>(l>d))
| 1 | 0 | 1 | 1 |
entailment
|
(l&(~(d)|(~(d)&(~(l)&d))))
|
~((l>~((~(d)>~(~(l))))))
| 1 | 1 | 1 | 1 |
entailment
|
((d|(l>d))&(~((d|d))|l))
|
~((l>~((~(d)>~(~(l))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(l&(~(d)|(~(d)&(~(l)&d))))
|
(((l|~((d>d)))>~((d&((l>d)|d))))>(l>d))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~((~(~(d))|~(d)))|(~(d)|l)))
|
(d|d)
| 1 | 1 | 1 | 1 |
entailment
|
(l|l)
|
~(((d&~((l&l)))&(d&d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(~(d))|~(d)))|(~(d)|l)))
|
~(((d&~((l&l)))&(d&d)))
| 0 | 1 | 1 | 0 |
not entailment
|
(l|l)
|
(d|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(d|(((d|d)&d)&~(l)))
|
(~((d|l))>d)
| 1 | 1 | 1 | 0 |
entailment
|
~((l|~((((l|(d|d))|l)>d))))
|
~(((l|l)&l))
| 1 | 1 | 1 | 1 |
entailment
|
(d|(((d|d)&d)&~(l)))
|
~(((l|l)&l))
| 0 | 1 | 1 | 1 |
not entailment
|
~((l|~((((l|(d|d))|l)>d))))
|
(~((d|l))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
((((l|l)&l)&d)|(~(((l>d)&d))&d))
|
~((l&~((d&(l&l)))))
| 1 | 1 | 1 | 0 |
entailment
|
((d|((l|l)|d))&~(~(~(d))))
|
(d>~((l&(l>((l>l)&d)))))
| 1 | 1 | 1 | 0 |
entailment
|
((((l|l)&l)&d)|(~(((l>d)&d))&d))
|
(d>~((l&(l>((l>l)&d)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((d|((l|l)|d))&~(~(~(d))))
|
~((l&~((d&(l&l)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(d|~((d>l)))
|
~(~((~((l|(d>l)))|d)))
| 1 | 0 | 1 | 1 |
entailment
|
(((l>(l|l))>(l|l))&~((d&l)))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
(d|~((d>l)))
|
~(d)
| 0 | 1 | 1 | 0 |
not entailment
|
(((l>(l|l))>(l|l))&~((d&l)))
|
~(~((~((l|(d>l)))|d)))
| 0 | 1 | 1 | 0 |
not entailment
|
((l>(d|l))>~((d>l)))
|
(d|(((d>l)|l)&l))
| 1 | 1 | 1 | 1 |
entailment
|
(d>(l&((d&l)>~(((d|d)|(d|(l>(l>l))))))))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
((l>(d|l))>~((d>l)))
|
~(d)
| 0 | 1 | 1 | 1 |
not entailment
|
(d>(l&((d&l)>~(((d|d)|(d|(l>(l>l))))))))
|
(d|(((d>l)|l)&l))
| 0 | 1 | 1 | 0 |
not entailment
|
~((d|(l&~(((d>d)|d)))))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
(l&d)
|
((((l|~(~(d)))|~(d))&~(~((l>d))))|d)
| 1 | 0 | 1 | 0 |
entailment
|
~((d|(l&~(((d>d)|d)))))
|
((((l|~(~(d)))|~(d))&~(~((l>d))))|d)
| 0 | 0 | 1 | 0 |
not entailment
|
(l&d)
|
~(d)
| 0 | 1 | 1 | 0 |
not entailment
|
(d>~((l|~(l))))
|
~(~((d>((((d>~(d))>(l|l))|(d&l))&l))))
| 1 | 0 | 1 | 0 |
entailment
|
((l|l)|(d&~((d>((l|(d>l))&d)))))
|
(~(((d&(d&d))|(l|d)))>d)
| 1 | 1 | 1 | 1 |
entailment
|
(d>~((l|~(l))))
|
(~(((d&(d&d))|(l|d)))>d)
| 0 | 0 | 1 | 0 |
not entailment
|
((l|l)|(d&~((d>((l|(d>l))&d)))))
|
~(~((d>((((d>~(d))>(l|l))|(d&l))&l))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~(d)>~(((l|d)&l))))
|
(((l>l)&d)>(l&l))
| 1 | 1 | 1 | 0 |
entailment
|
(d|d)
|
(d&~(~((l|~(l)))))
| 1 | 0 | 0 | 0 |
entailment
|
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