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 |
|---|---|---|---|---|---|---|
~(~(((r&(~(r)>t))&~(((s|k)|(t&s))))))
|
(((~(r)|s)&(s|j))>j)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((r|t)>(j|j))>((s&k)>r))>t))
|
((r&t)>(s&(~(j)|~(~(k)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((r&(~(r)>t))&~(((s|k)|(t&s))))))
|
((r&t)>(s&(~(j)|~(~(k)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((r|t)>(j|j))>((s&k)>r))>t))
|
(((~(r)|s)&(s|j))>j)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~(t))&((s>k)|t)))
|
((r|~(t))|~(~(((~(t)>k)>(s>(j|r))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(s)&((r>j)>r)))
|
(r>s)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~(t))&((s>k)|t)))
|
(r>s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(s)&((r>j)>r)))
|
((r|~(t))|~(~(((~(t)>k)>(s>(j|r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((s|s)|k)
|
(s|~(~((k|s))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((~((k&r))>~(r))|~((((s|t)&r)>j))))
|
((~(t)&~((r&t)))|j)
| 1 | 1 | 1 | 1 |
entailment
|
((s|s)|k)
|
((~(t)&~((r&t)))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((k&r))>~(r))|~((((s|t)&r)>j))))
|
(s|~(~((k|s))))
| 0 | 1 | 1 | 0 |
not entailment
|
(d&~(r))
|
~(~((d&((d&r)>r))))
| 1 | 0 | 1 | 0 |
entailment
|
(r&r)
|
((r&(r|d))&(r>r))
| 1 | 0 | 0 | 0 |
entailment
|
(d&~(r))
|
((r&(r|d))&(r>r))
| 0 | 0 | 1 | 0 |
not entailment
|
(r&r)
|
~(~((d&((d&r)>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((d>d)|d))|d)
|
(((d|d)>d)&(d&d))
| 1 | 1 | 1 | 1 |
entailment
|
((d&r)|~(~((r|r))))
|
(((d>d)>r)&((d&~(r))>d))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((d>d)|d))|d)
|
(((d>d)>r)&((d&~(r))>d))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&r)|~(~((r|r))))
|
(((d|d)>d)&(d&d))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(r)|~(r)))&r)
|
((r|d)|~((r>((r>r)|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(r>(((d>r)>(((d&r)&(r>d))&(r>r)))&(d&d)))
|
((~(~((r|r)))|((d|d)|r))>d)
| 1 | 1 | 1 | 0 |
entailment
|
(~((~(r)|~(r)))&r)
|
((~(~((r|r)))|((d|d)|r))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
(r>(((d>r)>(((d&r)&(r>d))&(r>r)))&(d&d)))
|
((r|d)|~((r>((r>r)|r))))
| 0 | 1 | 1 | 1 |
not entailment
|
((~((~(r)&r))>(d>r))>(d|d))
|
(((d|(d|r))>~(d))>d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((r|r)|(~(d)>(r|r))))
|
((((d>d)&d)|d)>r)
| 1 | 1 | 1 | 0 |
entailment
|
((~((~(r)&r))>(d>r))>(d|d))
|
((((d>d)&d)|d)>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r|r)|(~(d)>(r|r))))
|
(((d|(d|r))>~(d))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&(d>r))
|
((r>r)>(~(r)>(~(~(~((r>r))))|d)))
| 1 | 0 | 1 | 0 |
entailment
|
~(d)
|
((d&((r|(r>d))|d))>(((r>d)&d)>~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(d>r))
|
((d&((r|(r>d))|d))>(((r>d)&d)>~(r)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(d)
|
((r>r)>(~(r)>(~(~(~((r>r))))|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&~(~(((d>d)>r))))
|
(d>((d&r)&d))
| 1 | 1 | 1 | 1 |
entailment
|
~((((d|r)&d)>(~((r&d))>(r&~(r)))))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
(d&~(~(((d>d)>r))))
|
~(r)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((d|r)&d)>(~((r&d))>(r&~(r)))))
|
(d>((d&r)&d))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(r)&~(r))>(d&r))
|
((r|d)|r)
| 1 | 1 | 1 | 1 |
entailment
|
(~(d)|~(((~(d)|d)|r)))
|
(~((d&((d&r)|r)))&(r>r))
| 1 | 1 | 1 | 0 |
entailment
|
((~(r)&~(r))>(d&r))
|
(~((d&((d&r)|r)))&(r>r))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(d)|~(((~(d)|d)|r)))
|
((r|d)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~((d|(r>d)))|r))&d)
|
(r>((r>((r>d)>(d|r)))>~((r|d))))
| 1 | 0 | 1 | 0 |
entailment
|
(r|r)
|
((((r|r)&r)>~((r>((d>(r|r))&~(r)))))>r)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((d|(r>d)))|r))&d)
|
((((r|r)&r)>~((r>((d>(r|r))&~(r)))))>r)
| 0 | 0 | 1 | 0 |
not entailment
|
(r|r)
|
(r>((r>((r>d)>(d|r)))>~((r|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(r>d))
|
(~(((d|d)|~((r>~(r)))))|(d|d))
| 1 | 0 | 1 | 0 |
entailment
|
((d|r)>(r>~(d)))
|
(~(((r|d)>~(r)))>(d>~((~(d)>r))))
| 1 | 0 | 1 | 1 |
entailment
|
(d&(r>d))
|
(~(((r|d)>~(r)))>(d>~((~(d)>r))))
| 0 | 0 | 1 | 0 |
not entailment
|
((d|r)>(r>~(d)))
|
(~(((d|d)|~((r>~(r)))))|(d|d))
| 0 | 0 | 1 | 0 |
not entailment
|
~((d>(r&r)))
|
((r|~(d))>(r&d))
| 1 | 0 | 1 | 0 |
entailment
|
(d>(d>r))
|
(~((d>(d>r)))>~((r>d)))
| 1 | 0 | 1 | 1 |
entailment
|
~((d>(r&r)))
|
(~((d>(d>r)))>~((r>d)))
| 0 | 0 | 1 | 0 |
not entailment
|
(d>(d>r))
|
((r|~(d))>(r&d))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(d)>((d>d)&r)))
|
~((d&r))
| 1 | 1 | 1 | 1 |
entailment
|
((d|r)&(((r|d)>r)>(r&r)))
|
(r|d)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(d)>((d>d)&r)))
|
(r|d)
| 0 | 1 | 1 | 0 |
not entailment
|
((d|r)&(((r|d)>r)>(r&r)))
|
~((d&r))
| 0 | 1 | 1 | 0 |
not entailment
|
((t|p)&(t|(((t&p)&p)&(~(t)&p))))
|
((t|t)|(p&~((t>p))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((((p|t)&p)>(p>p))))&p)
|
((((t>~(t))>t)&(~(t)>t))>p)
| 1 | 1 | 1 | 1 |
entailment
|
((t|p)&(t|(((t&p)&p)&(~(t)&p))))
|
((((t>~(t))>t)&(~(t)>t))>p)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((((p|t)&p)>(p>p))))&p)
|
((t|t)|(p&~((t>p))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(p)&t))
|
~((t&~(((t>p)&(p|t)))))
| 1 | 0 | 1 | 0 |
entailment
|
((p|(t&t))&~(p))
|
~(~(t))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(p)&t))
|
~(~(t))
| 0 | 1 | 1 | 0 |
not entailment
|
((p|(t&t))&~(p))
|
~((t&~(((t>p)&(p|t)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((p&((p>(t>(t>t)))|p))&(t>(t&(t&p))))
|
((((t&t)&t)&(((p>p)|p)&t))|((p>p)&p))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((t&p))|t)&((~(p)&t)|(p|t))))
|
(~((p|p))|~(((t>t)>((p|(p&t))>(t&p)))))
| 1 | 0 | 1 | 1 |
entailment
|
((p&((p>(t>(t>t)))|p))&(t>(t&(t&p))))
|
(~((p|p))|~(((t>t)>((p|(p&t))>(t&p)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((~((t&p))|t)&((~(p)&t)|(p|t))))
|
((((t&t)&t)&(((p>p)|p)&t))|((p>p)&p))
| 0 | 1 | 1 | 1 |
not entailment
|
((p&t)&t)
|
((p&t)|(p|t))
| 1 | 0 | 1 | 1 |
entailment
|
~((~((p|t))>(((t>p)>(~(t)>t))&p)))
|
~((p|(p&(t>p))))
| 1 | 1 | 1 | 0 |
entailment
|
((p&t)&t)
|
~((p|(p&(t>p))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((p|t))>(((t>p)>(~(t)>t))&p)))
|
((p&t)|(p|t))
| 0 | 1 | 1 | 0 |
not entailment
|
(t|t)
|
((~((p&p))|(t&p))>(t&t))
| 1 | 0 | 0 | 0 |
entailment
|
~((p&(t|(((p&t)>t)|p))))
|
((p>t)>~(p))
| 1 | 1 | 1 | 1 |
entailment
|
(t|t)
|
((p>t)>~(p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p&(t|(((p&t)>t)|p))))
|
((~((p&p))|(t&p))>(t&t))
| 0 | 1 | 1 | 1 |
not entailment
|
(((t&p)>p)>(((t&p)>(t&t))&p))
|
((t|p)>((t|t)>(p&p)))
| 1 | 1 | 1 | 1 |
entailment
|
((~((p>t))>t)&t)
|
((t|(((p&p)|t)|t))&(p>(p>t)))
| 1 | 0 | 1 | 0 |
entailment
|
(((t&p)>p)>(((t&p)>(t&t))&p))
|
((t|(((p&p)|t)|t))&(p>(p>t)))
| 0 | 1 | 1 | 1 |
not entailment
|
((~((p>t))>t)&t)
|
((t|p)>((t|t)>(p&p)))
| 0 | 0 | 1 | 0 |
not entailment
|
((p&t)&(p>((p&t)&(((p|t)>t)|p))))
|
(p>((~(t)&t)|t))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((t>~((p|~(t)))))&t))
|
~((p&(p>t)))
| 1 | 1 | 1 | 0 |
entailment
|
((p&t)&(p>((p&t)&(((p|t)>t)|p))))
|
~((p&(p>t)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((t>~((p|~(t)))))&t))
|
(p>((~(t)&t)|t))
| 0 | 1 | 1 | 1 |
not entailment
|
(t&(~((((t>p)>t)&p))|~(p)))
|
(t|(p|t))
| 1 | 1 | 1 | 1 |
entailment
|
((p>p)&~(((t|t)&(t|((~(t)&t)>t)))))
|
~(t)
| 1 | 1 | 1 | 1 |
entailment
|
(t&(~((((t>p)>t)&p))|~(p)))
|
~(t)
| 0 | 1 | 1 | 1 |
not entailment
|
((p>p)&~(((t|t)&(t|((~(t)&t)>t)))))
|
(t|(p|t))
| 0 | 1 | 1 | 1 |
not entailment
|
((((t|p)>p)&(p&~(t)))|((p|t)&p))
|
~(~(p))
| 1 | 1 | 1 | 1 |
entailment
|
~((t|((p>p)>p)))
|
~(((p|p)|~(((t|((p>p)>t))|(t>p)))))
| 1 | 0 | 1 | 0 |
entailment
|
((((t|p)>p)&(p&~(t)))|((p|t)&p))
|
~(((p|p)|~(((t|((p>p)>t))|(t>p)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((t|((p>p)>p)))
|
~(~(p))
| 0 | 1 | 1 | 1 |
not entailment
|
((t|~(p))&t)
|
((t|t)|(t|p))
| 1 | 1 | 1 | 0 |
entailment
|
~((p|p))
|
(t>~((p&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((t|~(p))&t)
|
(t>~((p&p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|p))
|
((t|t)|(t|p))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t&t)&t)&~(p))
|
((((((t|t)&p)|p)|p)|t)&(p|(t&t)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(p)>((t|t)>(p|p)))
|
(~(p)>(~(t)|(~(~(t))&~(t))))
| 1 | 0 | 1 | 0 |
entailment
|
(((t&t)&t)&~(p))
|
(~(p)>(~(t)|(~(~(t))&~(t))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(p)>((t|t)>(p|p)))
|
((((((t|t)&p)|p)|p)|t)&(p|(t&t)))
| 0 | 0 | 1 | 0 |
not entailment
|
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