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 |
|---|---|---|---|---|---|---|
~((~(i)>(z>(f&f))))
|
(~(~(((x|((~(~(i))&a)|z))|(x>x))))&z)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(o)>i))>(x&i)))
|
(~(~(((x|((~(~(i))&a)|z))|(x>x))))&z)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(i)>(z>(f&f))))
|
((o>((i|i)&f))|(((o>(a|~(i)))>x)|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|p)
|
(u|p)
| 1 | 1 | 1 | 1 |
entailment
|
(((p&p)>~((u|~(~(p)))))&(p>p))
|
(p>(p&(u&~(u))))
| 1 | 1 | 1 | 0 |
entailment
|
(u|p)
|
(p>(p&(u&~(u))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((p&p)>~((u|~(~(p)))))&(p>p))
|
(u|p)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p&p)|u))
|
~(~(~(((p&(u&u))&(u>(p>p))))))
| 1 | 0 | 1 | 0 |
entailment
|
(((p|p)>u)>p)
|
(((p&u)|u)|((p|u)&(p&(u>p))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((p&p)|u))
|
(((p&u)|u)|((p|u)&(p&(u>p))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((p|p)>u)>p)
|
~(~(~(((p&(u&u))&(u>(p>p))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(p)|~(u))
|
(~(u)|(p>~(u)))
| 1 | 0 | 1 | 1 |
entailment
|
(p&u)
|
(u>p)
| 1 | 1 | 1 | 0 |
entailment
|
(~(p)|~(u))
|
(u>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&u)
|
(~(u)|(p>~(u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((p&~(u))|u))
|
~(((u>(u&p))&p))
| 1 | 1 | 1 | 1 |
entailment
|
(p&(u&u))
|
(p&p)
| 1 | 1 | 1 | 1 |
entailment
|
~(((p&~(u))|u))
|
(p&p)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&(u&u))
|
~(((u>(u&p))&p))
| 0 | 0 | 1 | 0 |
not entailment
|
((((p>p)|p)>p)|p)
|
(((p>p)|~(u))>(((u|p)>(u|u))>u))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|p))
|
((p|u)>(u&u))
| 1 | 0 | 1 | 0 |
entailment
|
((((p>p)|p)>p)|p)
|
((p|u)>(u&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|p))
|
(((p>p)|~(u))>(((u|p)>(u|u))>u))
| 0 | 0 | 1 | 0 |
not entailment
|
~((p>(u|(u|u))))
|
~(((p|(u&p))>u))
| 1 | 1 | 1 | 0 |
entailment
|
(p&((u&p)|u))
|
~(((u>u)&((u>p)&~(u))))
| 1 | 0 | 1 | 0 |
entailment
|
~((p>(u|(u|u))))
|
~(((u>u)&((u>p)&~(u))))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&((u&p)|u))
|
~(((p|(u&p))>u))
| 0 | 0 | 1 | 0 |
not entailment
|
((p>p)>(~(((u&u)&(u&u)))>(p|u)))
|
(~(~((~(~(~(p)))>p)))|(u&u))
| 1 | 1 | 1 | 1 |
entailment
|
~(p)
|
(u>~((p|p)))
| 1 | 0 | 0 | 0 |
entailment
|
((p>p)>(~(((u&u)&(u&u)))>(p|u)))
|
(u>~((p|p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(p)
|
(~(~((~(~(~(p)))>p)))|(u&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((((p>(p|u))>p)&((u&((u|p)&p))|p))|p)
|
(((u&~((u&~(p))))|(p|p))&(u>p))
| 1 | 1 | 1 | 1 |
entailment
|
((u|p)>~(p))
|
~(~(((p&(p&u))>~((~(u)>(p>p))))))
| 1 | 0 | 1 | 0 |
entailment
|
((((p>(p|u))>p)&((u&((u|p)&p))|p))|p)
|
~(~(((p&(p&u))>~((~(u)>(p>p))))))
| 0 | 1 | 1 | 1 |
not entailment
|
((u|p)>~(p))
|
(((u&~((u&~(p))))|(p|p))&(u>p))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(u)|p))
|
((~((u&u))>p)|p)
| 1 | 0 | 1 | 0 |
entailment
|
~((p|(u|p)))
|
((u&(u>u))>p)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(u)|p))
|
((u&(u>u))>p)
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|(u|p)))
|
((~((u&u))>p)|p)
| 0 | 0 | 1 | 0 |
not entailment
|
~((((u&u)&((~(p)&u)&u))|p))
|
~(((p&p)&((p>p)|p)))
| 1 | 1 | 1 | 1 |
entailment
|
((p|((u>u)&(~(~(((p&p)&u)))&~(p))))&u)
|
~(~(u))
| 1 | 1 | 1 | 1 |
entailment
|
~((((u&u)&((~(p)&u)&u))|p))
|
~(~(u))
| 0 | 1 | 1 | 0 |
not entailment
|
((p|((u>u)&(~(~(((p&p)&u)))&~(p))))&u)
|
~(((p&p)&((p>p)|p)))
| 0 | 1 | 1 | 1 |
not entailment
|
((u>u)&u)
|
((p>(~(u)>(p&u)))|(u&(p&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((p&~(p))|((p>p)&p))
|
(~(p)>p)
| 1 | 1 | 1 | 1 |
entailment
|
((u>u)&u)
|
(~(p)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&~(p))|((p>p)&p))
|
((p>(~(u)>(p&u)))|(u&(p&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((u&u)))&(~((u&p))&(p>((u|u)&u))))
|
(~((p&(((u&p)>~(p))|u)))|((u>u)&~(p)))
| 1 | 1 | 1 | 0 |
entailment
|
(p|p)
|
((u&((~(p)&((p|p)>u))&p))|((u>p)&p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((u&u)))&(~((u&p))&(p>((u|u)&u))))
|
((u&((~(p)&((p|p)>u))&p))|((u>p)&p))
| 0 | 1 | 1 | 0 |
not entailment
|
(p|p)
|
(~((p&(((u&p)>~(p))|u)))|((u>u)&~(p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(u))>((u>~(u))&p))
|
(u>(u>p))
| 1 | 1 | 1 | 1 |
entailment
|
((~((p&(u&u)))>u)|~((u>(p&u))))
|
(((u>((u|u)&p))>u)|(p>u))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(u))>((u>~(u))&p))
|
(((u>((u|u)&p))>u)|(p>u))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((p&(u&u)))>u)|~((u>(p&u))))
|
(u>(u>p))
| 0 | 1 | 1 | 1 |
not entailment
|
((u&p)&(((u|~(p))|(u&u))|p))
|
((~((p|u))>u)>u)
| 1 | 1 | 1 | 0 |
entailment
|
((((u|u)&u)|((u|u)>u))>~((p>(p&u))))
|
~(((u|(u&u))&(p>((u&p)|u))))
| 1 | 1 | 1 | 1 |
entailment
|
((u&p)&(((u|~(p))|(u&u))|p))
|
~(((u|(u&u))&(p>((u&p)|u))))
| 0 | 1 | 1 | 0 |
not entailment
|
((((u|u)&u)|((u|u)>u))>~((p>(p&u))))
|
((~((p|u))>u)>u)
| 0 | 1 | 1 | 1 |
not entailment
|
(((((((w|r)|w)>r)|~((w&j)))|w)|j)&w)
|
((r|(w|r))&((w&j)|w))
| 1 | 1 | 1 | 1 |
entailment
|
((j|~(((w&j)&(r&~(r)))))&~((j&j)))
|
(r>~(j))
| 1 | 1 | 1 | 1 |
entailment
|
(((((((w|r)|w)>r)|~((w&j)))|w)|j)&w)
|
(r>~(j))
| 0 | 1 | 1 | 1 |
not entailment
|
((j|~(((w&j)&(r&~(r)))))&~((j&j)))
|
((r|(w|r))&((w&j)|w))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((r&j)>(w>r))&((~(w)&(r|j))&(j>j))))
|
((~((j&~(w)))|w)|r)
| 1 | 1 | 1 | 1 |
entailment
|
(((((w|w)&j)>w)&((r>j)|(w|w)))&~(w))
|
(((w>r)>j)|~(((~((w>j))&r)&((r|w)|r))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((r&j)>(w>r))&((~(w)&(r|j))&(j>j))))
|
(((w>r)>j)|~(((~((w>j))&r)&((r|w)|r))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((((w|w)&j)>w)&((r>j)|(w|w)))&~(w))
|
((~((j&~(w)))|w)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(((w&r)|w))&(r>(w&(r&(w&j)))))>w)
|
((((w|j)>j)&(~(r)|w))>(j|(w|w)))
| 1 | 1 | 1 | 0 |
entailment
|
((r&r)>(((r|r)>r)>(w&(w|w))))
|
((r|r)>((~(w)>j)&((j|~(~(r)))|(w|w))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((w&r)|w))&(r>(w&(r&(w&j)))))>w)
|
((r|r)>((~(w)>j)&((j|~(~(r)))|(w|w))))
| 0 | 0 | 1 | 0 |
not entailment
|
((r&r)>(((r|r)>r)>(w&(w|w))))
|
((((w|j)>j)&(~(r)|w))>(j|(w|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>~((r>(j>j))))>(w|j))
|
((r>((r&w)&w))|(w|j))
| 1 | 1 | 1 | 0 |
entailment
|
(((w|r)&r)&~(~(~(j))))
|
(((w>r)|r)>r)
| 1 | 1 | 1 | 0 |
entailment
|
((j>~((r>(j>j))))>(w|j))
|
(((w>r)|r)>r)
| 0 | 1 | 1 | 0 |
not entailment
|
(((w|r)&r)&~(~(~(j))))
|
((r>((r&w)&w))|(w|j))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~((j>(w>r)))&w)))
|
~((j&(((r&(r>r))>w)>r)))
| 1 | 1 | 1 | 0 |
entailment
|
((((w|w)&(~(r)>(j|w)))&r)&(((j&w)|j)&w))
|
~((w&((r&j)>(j&~(~(~(w)))))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~((j>(w>r)))&w)))
|
~((w&((r&j)>(j&~(~(~(w)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((w|w)&(~(r)>(j|w)))&r)&(((j&w)|j)&w))
|
~((j&(((r&(r>r))>w)>r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~(j)>(j&w)))>(~((j|r))|w)))
|
(~((r|(r|r)))>~(w))
| 1 | 1 | 1 | 1 |
entailment
|
(((w>w)|w)>(w&~(r)))
|
((((w|r)&j)|w)&((~(r)>~(w))>(r>j)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(j)>(j&w)))>(~((j|r))|w)))
|
((((w|r)&j)|w)&((~(r)>~(w))>(r>j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((w>w)|w)>(w&~(r)))
|
(~((r|(r|r)))>~(w))
| 0 | 1 | 1 | 0 |
not entailment
|
(r&(j|((w|~(w))&r)))
|
((j|j)|r)
| 1 | 1 | 1 | 1 |
entailment
|
~((w>~(((j&(r|~((w&r))))>~(w)))))
|
(w|(~((j&((j|j)>~((j|w)))))>(j|w)))
| 1 | 1 | 1 | 0 |
entailment
|
(r&(j|((w|~(w))&r)))
|
(w|(~((j&((j|j)>~((j|w)))))>(j|w)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((w>~(((j&(r|~((w&r))))>~(w)))))
|
((j|j)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(((j&((~(w)>~(r))>w))&j)>(~(j)&j))
|
~((((w>r)>j)&r))
| 1 | 1 | 1 | 0 |
entailment
|
((w|(j&(r&w)))&j)
|
((r&r)|(~(~(~(~((j|w)))))&j))
| 1 | 0 | 1 | 1 |
entailment
|
(((j&((~(w)>~(r))>w))&j)>(~(j)&j))
|
((r&r)|(~(~(~(~((j|w)))))&j))
| 0 | 1 | 1 | 0 |
not entailment
|
((w|(j&(r&w)))&j)
|
~((((w>r)>j)&r))
| 0 | 1 | 1 | 0 |
not entailment
|
(((j&w)>j)&~((r|(r|(j>w)))))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
~((j|r))
|
(((r|(w|j))|w)>w)
| 1 | 0 | 0 | 0 |
entailment
|
(((j&w)>j)&~((r|(r|(j>w)))))
|
(((r|(w|j))|w)>w)
| 0 | 1 | 1 | 0 |
not entailment
|
~((j|r))
|
~(w)
| 0 | 1 | 0 | 0 |
not entailment
|
((r|j)&~(((w&(j>(j>w)))&w)))
|
~((w|(w&w)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((~((w|j))&j))>((w&r)&(j&j)))
|
(r|(w|(r|(((r&r)|r)&j))))
| 1 | 1 | 1 | 1 |
entailment
|
((r|j)&~(((w&(j>(j>w)))&w)))
|
(r|(w|(r|(((r&r)|r)&j))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~((w|j))&j))>((w&r)&(j&j)))
|
~((w|(w&w)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((r>j))&(j>((w|j)|(w&r))))
|
(~(r)>w)
| 1 | 1 | 1 | 1 |
entailment
|
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