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>p)&~((~(i)>(h>i))))|h) | (h&(h>(~(((h|((i&r)|r))>~(h)))>h))) | 1 | 0 | 1 | 0 | entailment |
(((r&i)&((h&r)|r))&(i|p)) | (h&(h>(~(((h|((i&r)|r))>~(h)))>h))) | 0 | 0 | 1 | 0 | not entailment |
(((r>p)&~((~(i)>(h>i))))|h) | (i|((i>~(h))>(h>(h>p)))) | 0 | 1 | 1 | 0 | not entailment |
(((h|r)&r)&p) | ~(~(r)) | 1 | 1 | 1 | 1 | entailment |
((i&h)|~((i>i))) | ((((r>r)&(~(r)>i))&(((h&i)&h)|i))>h) | 1 | 0 | 0 | 0 | entailment |
(((h|r)&r)&p) | ((((r>r)&(~(r)>i))&(((h&i)&h)|i))>h) | 0 | 0 | 0 | 0 | not entailment |
((i&h)|~((i>i))) | ~(~(r)) | 0 | 1 | 0 | 0 | not entailment |
((~(h)&h)|p) | ((p>h)>(i>h)) | 1 | 1 | 0 | 0 | entailment |
~((h|((i|h)>p))) | (p>h) | 1 | 1 | 1 | 1 | entailment |
((~(h)&h)|p) | (p>h) | 0 | 1 | 1 | 0 | not entailment |
~((h|((i|h)>p))) | ((p>h)>(i>h)) | 0 | 1 | 1 | 0 | not entailment |
(((i|r)>h)&r) | (h|i) | 1 | 1 | 1 | 0 | entailment |
(((p|p)|p)&p) | (h>p) | 1 | 1 | 0 | 0 | entailment |
(((i|r)>h)&r) | (h>p) | 0 | 1 | 0 | 0 | not entailment |
(((p|p)|p)&p) | (h|i) | 0 | 1 | 0 | 0 | not entailment |
((p>h)&((p>p)>(r&p))) | ((~(i)|r)&p) | 1 | 1 | 0 | 0 | entailment |
(i&(i>(h&~(~(~(r)))))) | ((i&((r>i)&(p|h)))|i) | 1 | 1 | 0 | 0 | entailment |
((p>h)&((p>p)>(r&p))) | ((i&((r>i)&(p|h)))|i) | 0 | 1 | 0 | 0 | not entailment |
(i&(i>(h&~(~(~(r)))))) | ((~(i)|r)&p) | 0 | 1 | 0 | 0 | not entailment |
~(((r>(h|(i|i)))>(i|(p|h)))) | ~(((p>(p&h))&i)) | 1 | 1 | 1 | 0 | entailment |
(i&r) | ~(~((((i&i)|h)&(i>~(~((p|r))))))) | 1 | 0 | 0 | 0 | entailment |
~(((r>(h|(i|i)))>(i|(p|h)))) | ~(~((((i&i)|h)&(i>~(~((p|r))))))) | 0 | 0 | 1 | 0 | not entailment |
(i&r) | ~(((p>(p&h))&i)) | 0 | 0 | 0 | 0 | not entailment |
(h|h) | (((p&r)>~((~((r&~(~(i))))&h)))>(h|r)) | 1 | 0 | 0 | 0 | entailment |
~(((p|p)&((~(~(r))|r)>p))) | (~(~((p&h)))>~((((i>p)&(h>h))|i))) | 1 | 0 | 0 | 0 | entailment |
(h|h) | (~(~((p&h)))>~((((i>p)&(h>h))|i))) | 0 | 0 | 0 | 0 | not entailment |
~(((p|p)&((~(~(r))|r)>p))) | (((p&r)>~((~((r&~(~(i))))&h)))>(h|r)) | 0 | 0 | 0 | 0 | not entailment |
((p|p)&i) | ((~(((p&p)|(r|r)))>(r>r))>p) | 1 | 0 | 0 | 0 | entailment |
(~(i)&(~(h)&r)) | (r|(h>(~(h)&(r|h)))) | 1 | 0 | 1 | 0 | entailment |
((p|p)&i) | (r|(h>(~(h)&(r|h)))) | 0 | 0 | 0 | 0 | not entailment |
(~(i)&(~(h)&r)) | ((~(((p&p)|(r|r)))>(r>r))>p) | 0 | 0 | 0 | 0 | not entailment |
(((r&h)&h)|(((((p|i)&(h&p))>(h&r))|r)&i)) | ((p>h)>(r|i)) | 1 | 1 | 1 | 0 | entailment |
(~(h)|p) | (h>(((p|i)&(~(p)|h))&h)) | 1 | 0 | 0 | 0 | entailment |
(((r&h)&h)|(((((p|i)&(h&p))>(h&r))|r)&i)) | (h>(((p|i)&(~(p)|h))&h)) | 0 | 1 | 1 | 0 | not entailment |
(~(h)|p) | ((p>h)>(r|i)) | 0 | 0 | 0 | 0 | not entailment |
~(p) | ~((((~(r)&~((r>p)))>h)&p)) | 1 | 0 | 0 | 0 | entailment |
(~((~((~(p)|~(h)))&i))&r) | ((i>p)>(~((i|h))>(p|r))) | 1 | 1 | 1 | 0 | entailment |
~(p) | ((i>p)>(~((i|h))>(p|r))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((~(p)|~(h)))&i))&r) | ~((((~(r)&~((r>p)))>h)&p)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((~(r)>p)&h))) | ((h&i)|(~(r)>h)) | 1 | 1 | 0 | 0 | entailment |
~(((r|p)&p)) | (((p|i)|h)>~((p&h))) | 1 | 0 | 0 | 0 | entailment |
~(~(((~(r)>p)&h))) | (((p|i)|h)>~((p&h))) | 0 | 1 | 0 | 0 | not entailment |
~(((r|p)&p)) | ((h&i)|(~(r)>h)) | 0 | 0 | 0 | 0 | not entailment |
(~(i)>~((((i&i)>(i>(p&p)))>((i&r)>i)))) | ((~((h|(p|p)))>(p>(h>p)))&(p>i)) | 1 | 1 | 0 | 0 | entailment |
((r&r)>((~(h)|i)&p)) | (r>p) | 1 | 1 | 1 | 1 | entailment |
(~(i)>~((((i&i)>(i>(p&p)))>((i&r)>i)))) | (r>p) | 0 | 1 | 1 | 0 | not entailment |
((r&r)>((~(h)|i)&p)) | ((~((h|(p|p)))>(p>(h>p)))&(p>i)) | 0 | 0 | 1 | 0 | not entailment |
(m&(~(((((i|z)>m)|(i>b))|(b|m)))|q)) | ((q|m)|(z&i)) | 1 | 1 | 1 | 1 | entailment |
~(((z&~((m&b)))|(z|((b>~(b))|~(i))))) | ((~(~(i))|(m&~(z)))|b) | 1 | 1 | 1 | 1 | entailment |
(m&(~(((((i|z)>m)|(i>b))|(b|m)))|q)) | ((~(~(i))|(m&~(z)))|b) | 0 | 1 | 1 | 0 | not entailment |
~(((z&~((m&b)))|(z|((b>~(b))|~(i))))) | ((q|m)|(z&i)) | 0 | 1 | 0 | 0 | not entailment |
~(((m>(z&i))>q)) | (~((~(z)>((i|m)>q)))|((q>(z>b))|(z&m))) | 1 | 0 | 0 | 0 | entailment |
~((((i&i)>m)|(z&m))) | ((z>((~(m)>z)>b))|(((i>q)&(m&z))|i)) | 1 | 0 | 0 | 0 | entailment |
~(((m>(z&i))>q)) | ((z>((~(m)>z)>b))|(((i>q)&(m&z))|i)) | 0 | 0 | 0 | 0 | not entailment |
~((((i&i)>m)|(z&m))) | (~((~(z)>((i|m)>q)))|((q>(z>b))|(z&m))) | 0 | 0 | 0 | 0 | not entailment |
(((q>b)&z)&~(((q&(b>i))>~(z)))) | (((z|b)>((z|b)>(m>z)))>q) | 1 | 1 | 0 | 0 | entailment |
((b&(b|z))&m) | ((b&(q>m))|~((~(i)>q))) | 1 | 0 | 0 | 0 | entailment |
(((q>b)&z)&~(((q&(b>i))>~(z)))) | ((b&(q>m))|~((~(i)>q))) | 0 | 1 | 0 | 0 | not entailment |
((b&(b|z))&m) | (((z|b)>((z|b)>(m>z)))>q) | 0 | 0 | 0 | 0 | not entailment |
((m&(q&q))|~(((q>m)|~(~(b))))) | (((b|((z|m)&i))>(b&b))>(q|m)) | 1 | 1 | 0 | 0 | entailment |
(~((q&z))|((m|m)&(b|(m>b)))) | (((q&(m>m))>(i&(q|m)))|((((z|b)|i)|z)>b)) | 1 | 0 | 0 | 0 | entailment |
((m&(q&q))|~(((q>m)|~(~(b))))) | (((q&(m>m))>(i&(q|m)))|((((z|b)|i)|z)>b)) | 0 | 0 | 0 | 0 | not entailment |
(~((q&z))|((m|m)&(b|(m>b)))) | (((b|((z|m)&i))>(b&b))>(q|m)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(b))&~(~((i&z))))|((i>b)&i)) | (~(((m|z)>q))>(~((z|(i|i)))>(b&(m&m)))) | 1 | 0 | 0 | 0 | entailment |
~((z|~(~(b)))) | (b>(~((~((m>m))>m))|~(~(q)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(b))&~(~((i&z))))|((i>b)&i)) | (b>(~((~((m>m))>m))|~(~(q)))) | 0 | 1 | 0 | 0 | not entailment |
~((z|~(~(b)))) | (~(((m|z)>q))>(~((z|(i|i)))>(b&(m&m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((m&i)|(((i&i)|~(z))>(~(z)&~(b))))) | (((b>b)&(m>b))|(~(z)>i)) | 1 | 1 | 1 | 0 | entailment |
~((m>b)) | ((q|m)|~((~(~(m))|(q>z)))) | 1 | 0 | 0 | 0 | entailment |
~(((m&i)|(((i&i)|~(z))>(~(z)&~(b))))) | ((q|m)|~((~(~(m))|(q>z)))) | 0 | 1 | 0 | 0 | not entailment |
~((m>b)) | (((b>b)&(m>b))|(~(z)>i)) | 0 | 0 | 0 | 0 | not entailment |
((z|q)&(((i|b)>~(q))|(m&z))) | ((m>z)|q) | 1 | 1 | 1 | 0 | entailment |
(i&m) | (~(~(((z&m)>b)))>((~((b&i))&z)>b)) | 1 | 0 | 0 | 0 | entailment |
((z|q)&(((i|b)>~(q))|(m&z))) | (~(~(((z&m)>b)))>((~((b&i))&z)>b)) | 0 | 0 | 1 | 0 | not entailment |
(i&m) | ((m>z)|q) | 0 | 0 | 0 | 0 | not entailment |
((q&i)|(~(~(q))&(b|b))) | (q|i) | 1 | 1 | 1 | 1 | entailment |
~((z|m)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
((q&i)|(~(~(q))&(b|b))) | ~(m) | 0 | 1 | 0 | 0 | not entailment |
~((z|m)) | (q|i) | 0 | 1 | 0 | 0 | not entailment |
~((((q&~(i))&b)>((~((m|i))|b)>(m|m)))) | (((m|q)>q)|((i|b)&b)) | 1 | 1 | 1 | 0 | entailment |
~(((b|i)>z)) | (z>((i>z)>(~(m)&((i>i)&i)))) | 1 | 0 | 0 | 0 | entailment |
~((((q&~(i))&b)>((~((m|i))|b)>(m|m)))) | (z>((i>z)>(~(m)&((i>i)&i)))) | 0 | 1 | 0 | 0 | not entailment |
~(((b|i)>z)) | (((m|q)>q)|((i|b)&b)) | 0 | 0 | 0 | 0 | not entailment |
((i&((b&m)&((b&b)>z)))&m) | (~(~((b>(~(~(m))&(b|q)))))>m) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(z)>q)))) | ((~((m|(i&(m&(i>m)))))&i)|(z>(b>q))) | 1 | 0 | 0 | 0 | entailment |
((i&((b&m)&((b&b)>z)))&m) | ((~((m|(i&(m&(i>m)))))&i)|(z>(b>q))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(z)>q)))) | (~(~((b>(~(~(m))&(b|q)))))>m) | 0 | 0 | 0 | 0 | not entailment |
(~((((z|(b&m))&(b|i))|(b|~(q))))&i) | ((b>q)|~(~(((z|i)|(i|(b>(z|i))))))) | 1 | 1 | 1 | 0 | entailment |
~(i) | ((b|(i&m))|(i>m)) | 1 | 0 | 0 | 0 | entailment |
(~((((z|(b&m))&(b|i))|(b|~(q))))&i) | ((b|(i&m))|(i>m)) | 0 | 1 | 1 | 0 | not entailment |
~(i) | ((b>q)|~(~(((z|i)|(i|(b>(z|i))))))) | 0 | 0 | 0 | 0 | not entailment |
(m&((i&z)|~(((z&~(b))&i)))) | ((z&(z&m))|(z>b)) | 1 | 1 | 1 | 1 | entailment |
((z|m)&((m|~(m))>q)) | (((m&b)>(b|b))>q) | 1 | 1 | 0 | 0 | entailment |
(m&((i&z)|~(((z&~(b))&i)))) | (((m&b)>(b|b))>q) | 0 | 1 | 0 | 0 | not entailment |
((z|m)&((m|~(m))>q)) | ((z&(z&m))|(z>b)) | 0 | 1 | 0 | 0 | not entailment |
(((z>z)|(z>b))>b) | (i>b) | 1 | 1 | 0 | 0 | entailment |
((z>(q&m))&z) | (((q>i)|m)>(~((z&(z>(i|m))))>(m|q))) | 1 | 0 | 0 | 0 | entailment |
(((z>z)|(z>b))>b) | (((q>i)|m)>(~((z&(z>(i|m))))>(m|q))) | 0 | 0 | 0 | 0 | not entailment |
((z>(q&m))&z) | (i>b) | 0 | 1 | 0 | 0 | not entailment |
(~((b>i))|~((~(z)|(m>i)))) | (((m&i)>b)|q) | 1 | 1 | 0 | 0 | entailment |
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