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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