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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