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|r)&(r&k))&((r&r)|~((p&p))))
|
((~(k)|r)|r)
| 1 | 1 | 1 | 0 |
entailment
|
~(((p>r)&((r&r)|(k&r))))
|
((~(k)|r)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(((p|r)&(r&k))&((r&r)|~((p&p))))
|
(~(p)|((r&(k>(k&k)))>~(k)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p>r)&(k>(r|p))))
|
(p|k)
| 1 | 1 | 1 | 1 |
entailment
|
((r|p)>r)
|
(~(((r>p)&r))>(~(~(((r|~(r))>p)))>r))
| 1 | 0 | 1 | 0 |
entailment
|
~(((p>r)&(k>(r|p))))
|
(~(((r>p)&r))>(~(~(((r|~(r))>p)))>r))
| 0 | 0 | 1 | 0 |
not entailment
|
((r|p)>r)
|
(p|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>(((x|x)|(u&h))>x))|x)&((u&x)&h))
|
(~(x)>(u&(r>u)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~((x>x))>~(x))&(r|(u|~(u)))))|r)
|
(r&((r>(((r>x)&u)&r))|(~(x)>~(x))))
| 1 | 1 | 1 | 1 |
entailment
|
(((u>(((x|x)|(u&h))>x))|x)&((u&x)&h))
|
(r&((r>(((r>x)&u)&r))|(~(x)>~(x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~((x>x))>~(x))&(r|(u|~(u)))))|r)
|
(~(x)>(u&(r>u)))
| 0 | 1 | 1 | 1 |
not entailment
|
(h&((x>h)&r))
|
((u>h)|~((u|u)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&r)&u)
|
~(~(((h>x)>~((((h|h)>h)>~(u))))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&((x>h)&r))
|
~(~(((h>x)>~((((h|h)>h)>~(u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&r)&u)
|
((u>h)|~((u|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((r|(x&r))&~(h))>(h|h)))
|
((~(x)&r)|((x|u)&r))
| 1 | 1 | 0 | 0 |
entailment
|
((x&h)&(r|u))
|
((~((~((u&~((u&x))))|(u&u)))>h)&(r>x))
| 1 | 0 | 1 | 0 |
entailment
|
~((((r|(x&r))&~(h))>(h|h)))
|
((~((~((u&~((u&x))))|(u&u)))>h)&(r>x))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&h)&(r|u))
|
((~(x)&r)|((x|u)&r))
| 0 | 0 | 1 | 0 |
not entailment
|
(r|r)
|
((x>r)|(((u>u)>u)&u))
| 1 | 0 | 0 | 0 |
entailment
|
(h&x)
|
(x|h)
| 1 | 1 | 1 | 1 |
entailment
|
(r|r)
|
(x|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&x)
|
((x>r)|(((u>u)>u)&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&(u&x))&r)
|
(r&r)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((((x>~((u|r)))>(u>u))&~((x|r)))))
|
(((~((r&u))>r)>h)&(~((r>r))>((u>x)>h)))
| 1 | 1 | 0 | 0 |
entailment
|
((r&(u&x))&r)
|
(((~((r&u))>r)>h)&(~((r>r))>((u>x)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((x>~((u|r)))>(u>u))&~((x|r)))))
|
(r&r)
| 0 | 1 | 1 | 1 |
not entailment
|
~((u|(x>h)))
|
((x&h)|(~(~((r|~(u))))|~((x|~(x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((x&(r>u))&(h|x))|((u|u)|u))>~(h)))
|
(((h&x)|(r|(u>u)))>h)
| 1 | 1 | 1 | 0 |
entailment
|
~((u|(x>h)))
|
(((h&x)|(r|(u>u)))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((x&(r>u))&(h|x))|((u|u)|u))>~(h)))
|
((x&h)|(~(~((r|~(u))))|~((x|~(x)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(((r>x)|((x|h)|u))>(r|((h&x)|r))))
|
(~(x)>r)
| 1 | 1 | 1 | 1 |
entailment
|
~(u)
|
((u>~(r))|(x|x))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(((r>x)|((x|h)|u))>(r|((h&x)|r))))
|
((u>~(r))|(x|x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(u)
|
(~(x)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
((x>~(~(x)))>x)
|
(h>(~(x)>x))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((h|x)))&(r&~((h>(u|x)))))
|
(h|(u&r))
| 1 | 1 | 1 | 0 |
entailment
|
((x>~(~(x)))>x)
|
(h|(u&r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((h|x)))&(r&~((h>(u|x)))))
|
(h>(~(x)>x))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&x)
|
~(~(x))
| 1 | 0 | 1 | 1 |
entailment
|
((h>(u&u))&(h&(u|x)))
|
(u|r)
| 1 | 1 | 0 | 0 |
entailment
|
(x&x)
|
(u|r)
| 0 | 1 | 0 | 0 |
not entailment
|
((h>(u&u))&(h&(u|x)))
|
~(~(x))
| 0 | 1 | 1 | 1 |
not entailment
|
(r&(x&(h&u)))
|
~(~(((r|~((x|x)))&(u>x))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(h)&((u>((h>~(h))&x))&x))
|
~((h&h))
| 1 | 1 | 1 | 1 |
entailment
|
(r&(x&(h&u)))
|
~((h&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(h)&((u>((h>~(h))&x))&x))
|
~(~(((r|~((x|x)))&(u>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((x>((((r&x)>~((u>(u&h))))&x)>u)))
|
((r&(x|~(h)))>~(~(u)))
| 1 | 1 | 1 | 0 |
entailment
|
(u|r)
|
(x>(((x>r)|r)|((x>h)|((h|u)|(r&(r&h))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>((((r&x)>~((u>(u&h))))&x)>u)))
|
(x>(((x>r)|r)|((x>h)|((h|u)|(r&(r&h))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(u|r)
|
((r&(x|~(h)))>~(~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((r>u)|h)|u)>~((u|h)))&~(r))
|
(((~((((h>r)>h)&h))&(u>r))|r)|((r&u)&r))
| 1 | 0 | 1 | 0 |
entailment
|
((r|u)&h)
|
(((u|u)|(x&(h&h)))|r)
| 1 | 0 | 0 | 0 |
entailment
|
(((((r>u)|h)|u)>~((u|h)))&~(r))
|
(((u|u)|(x&(h&h)))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
((r|u)&h)
|
(((~((((h>r)>h)&h))&(u>r))|r)|((r&u)&r))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~(r))|~(h)))
|
(u>(h&u))
| 1 | 1 | 0 | 0 |
entailment
|
(r|(r&x))
|
((r>(~(u)|~(~((x>(h>u))))))>(r|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(r))|~(h)))
|
((r>(~(u)|~(~((x>(h>u))))))>(r|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|(r&x))
|
(u>(h&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u>x)&(~(r)|((r>x)|(r>(x>h))))))
|
(x>~(~(~((~(u)>~(~(u)))))))
| 1 | 1 | 1 | 0 |
entailment
|
((((r&h)&r)&h)&x)
|
(u>(h&u))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u>x)&(~(r)|((r>x)|(r>(x>h))))))
|
(u>(h&u))
| 0 | 1 | 1 | 0 |
not entailment
|
((((r&h)&r)&h)&x)
|
(x>~(~(~((~(u)>~(~(u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|h))
|
(~(u)>((h&(h&r))|(r>u)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&r)
|
(u>(r&u))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|h))
|
(u>(r&u))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&r)
|
(~(u)>((h&(h&r))|(r>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|(((u|u)|u)&~((h>x))))
|
(((r|(r>x))&r)|u)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(x))
|
(~(h)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(r|(((u|u)|u)&~((h>x))))
|
(~(h)|x)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(x))
|
(((r|(r>x))&r)|u)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(q)|((q>(q|q))&~(q))))
|
(q|((q>q)>(q&q)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((q&(q|q))&(q|(q|q))))
|
~((((q|q)|(q|q))|(q&q)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(q)|((q>(q|q))&~(q))))
|
~((((q|q)|(q|q))|(q&q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((q&(q|q))&(q|(q|q))))
|
(q|((q>q)>(q&q)))
| 0 | 1 | 1 | 0 |
not entailment
|
(q|(q|q))
|
(((((q|q)|(q|q))>q)|(((~(q)>q)>q)>q))>q)
| 1 | 0 | 1 | 0 |
entailment
|
(((~(q)|(q>q))|q)>~(((~(~(q))|q)|q)))
|
~(~(((~((q>((q>q)>(q>q))))>q)&~(q))))
| 1 | 1 | 1 | 1 |
entailment
|
(q|(q|q))
|
~(~(((~((q>((q>q)>(q>q))))>q)&~(q))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(q)|(q>q))|q)>~(((~(~(q))|q)|q)))
|
(((((q|q)|(q|q))>q)|(((~(q)>q)>q)>q))>q)
| 0 | 1 | 1 | 1 |
not entailment
|
(q&q)
|
(((q>q)>q)&q)
| 1 | 0 | 1 | 0 |
entailment
|
~((q&(q>(q|q))))
|
((q&q)>~(q))
| 1 | 1 | 1 | 1 |
entailment
|
(q&q)
|
((q&q)>~(q))
| 0 | 0 | 1 | 0 |
not entailment
|
~((q&(q>(q|q))))
|
(((q>q)>q)&q)
| 0 | 1 | 1 | 1 |
not entailment
|
(((q>(q&(q>q)))>(q>q))>~(~(q)))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((~(q)>(q|(q&q))))))
|
(((q>q)|~((q>q)))>~((((q&q)>q)&(q|q))))
| 1 | 0 | 1 | 0 |
entailment
|
(((q>(q&(q>q)))>(q>q))>~(~(q)))
|
(((q>q)|~((q>q)))>~((((q&q)>q)&(q|q))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(~((~(q)>(q|(q&q))))))
|
(q&q)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((q&q))>(q|q))
|
((q|q)&(~(~((q&q)))|(q&~(((q>q)&q)))))
| 1 | 0 | 1 | 0 |
entailment
|
(q>~((~(q)|(~(q)|q))))
|
~((q&q))
| 1 | 1 | 1 | 1 |
entailment
|
(~((q&q))>(q|q))
|
~((q&q))
| 0 | 1 | 1 | 0 |
not entailment
|
(q>~((~(q)|(~(q)|q))))
|
((q|q)&(~(~((q&q)))|(q&~(((q>q)&q)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((q&(q|q))>q)&(q&(q&(q>q))))
|
((q|(q&q))|q)
| 1 | 1 | 1 | 1 |
entailment
|
~(q)
|
~((q|~((q>q))))
| 1 | 0 | 1 | 0 |
entailment
|
(((q&(q|q))>q)&(q&(q&(q>q))))
|
~((q|~((q>q))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(q)
|
((q|(q&q))|q)
| 0 | 0 | 1 | 0 |
not entailment
|
~((((q>(q>q))&((q|q)&q))|(q|q)))
|
(~(q)&((((q|(q>q))&q)|(q>q))|(q>q)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((q|q)>(~((~(q)|(q|q)))&q)))
|
(((q&q)|(q|q))&((q|q)|q))
| 1 | 1 | 1 | 1 |
entailment
|
~((((q>(q>q))&((q|q)&q))|(q|q)))
|
(((q&q)|(q|q))&((q|q)|q))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((q|q)>(~((~(q)|(q|q)))&q)))
|
(~(q)&((((q|(q>q))&q)|(q>q))|(q>q)))
| 0 | 0 | 1 | 1 |
not entailment
|
(((k|k)|(k&(k|~(k))))|(k|k))
|
(k&(k>k))
| 1 | 1 | 1 | 1 |
entailment
|
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