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