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 |
|---|---|---|---|---|---|---|
(((k&(u>(j>k)))&p)&k) | (j>k) | 1 | 1 | 1 | 1 | entailment |
((l&(j>(r|((u>z)>r))))&((p|(u&k))>k)) | (j|(z>l)) | 1 | 1 | 1 | 0 | entailment |
(((k&(u>(j>k)))&p)&k) | (j|(z>l)) | 0 | 1 | 0 | 0 | not entailment |
((l&(j>(r|((u>z)>r))))&((p|(u&k))>k)) | (j>k) | 0 | 1 | 1 | 1 | not entailment |
((~(l)>~((~((r|h))>(p&l))))&u) | (((~(p)|(j|u))|(j&(j&j)))|r) | 1 | 1 | 0 | 0 | entailment |
(~((((h&r)&r)|~(p)))&(((l>k)>l)>z)) | ((((h|p)>~(l))|((z&(r>r))|~(p)))|j) | 1 | 1 | 0 | 0 | entailment |
((~(l)>~((~((r|h))>(p&l))))&u) | ((((h|p)>~(l))|((z&(r>r))|~(p)))|j) | 0 | 0 | 0 | 0 | not entailment |
(~((((h&r)&r)|~(p)))&(((l>k)>l)>z)) | (((~(p)|(j|u))|(j&(j&j)))|r) | 0 | 1 | 0 | 0 | not entailment |
(~((~(u)|~(z)))&(l&r)) | ((p>(~((u|l))>r))|~((p>h))) | 1 | 0 | 0 | 0 | entailment |
((~(((p>(p&k))|(~(h)&h)))|(k&k))&~(k)) | ~((~(((z|(h|k))&k))&~(((z>z)>p)))) | 1 | 1 | 0 | 0 | entailment |
(~((~(u)|~(z)))&(l&r)) | ~((~(((z|(h|k))&k))&~(((z>z)>p)))) | 0 | 0 | 0 | 0 | not entailment |
((~(((p>(p&k))|(~(h)&h)))|(k&k))&~(k)) | ((p>(~((u|l))>r))|~((p>h))) | 0 | 1 | 0 | 0 | not entailment |
(j|(((j>(j|(h&p)))|~(((j|l)&r)))>r)) | (l|(~(j)>((u>k)|r))) | 1 | 1 | 0 | 0 | entailment |
~((((~(j)>(p|(r&k)))&u)>((h|z)|r))) | ~(((h&(r&k))&k)) | 1 | 1 | 1 | 0 | entailment |
(j|(((j>(j|(h&p)))|~(((j|l)&r)))>r)) | ~(((h&(r&k))&k)) | 0 | 1 | 0 | 0 | not entailment |
~((((~(j)>(p|(r&k)))&u)>((h|z)|r))) | (l|(~(j)>((u>k)|r))) | 0 | 1 | 0 | 0 | not entailment |
~((l>(k|j))) | ~(~(((~(j)|(p&l))|(~((z&r))&l)))) | 1 | 0 | 0 | 0 | entailment |
(~((j>l))&(u>z)) | (j|(z&(((r&u)|(j&~((p>k))))&r))) | 1 | 0 | 0 | 0 | entailment |
~((l>(k|j))) | (j|(z&(((r&u)|(j&~((p>k))))&r))) | 0 | 0 | 0 | 0 | not entailment |
(~((j>l))&(u>z)) | ~(~(((~(j)|(p&l))|(~((z&r))&l)))) | 0 | 0 | 0 | 0 | not entailment |
(p&((p>j)&h)) | (l|j) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((u|r)>((j&h)&r))))) | ((u|r)|z) | 1 | 1 | 0 | 0 | entailment |
(p&((p>j)&h)) | ((u|r)|z) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((u|r)>((j&h)&r))))) | (l|j) | 0 | 1 | 0 | 0 | not entailment |
~((((((p|h)>z)&p)&((z|u)>(u>h)))>r)) | (((~(~(r))&~(p))|h)>((k>r)>z)) | 1 | 1 | 0 | 0 | entailment |
~((h>k)) | ((h|l)>(k>u)) | 1 | 0 | 0 | 0 | entailment |
~((((((p|h)>z)&p)&((z|u)>(u>h)))>r)) | ((h|l)>(k>u)) | 0 | 1 | 0 | 0 | not entailment |
~((h>k)) | (((~(~(r))&~(p))|h)>((k>r)>z)) | 0 | 0 | 0 | 0 | not entailment |
(u|((~(r)&j)&(u&(l&z)))) | ~(~((u|(h>(r>j))))) | 1 | 1 | 0 | 0 | entailment |
~((~(j)>(k&h))) | ((~(j)|p)|k) | 1 | 1 | 0 | 0 | entailment |
(u|((~(r)&j)&(u&(l&z)))) | ((~(j)|p)|k) | 0 | 1 | 0 | 0 | not entailment |
~((~(j)>(k&h))) | ~(~((u|(h>(r>j))))) | 0 | 0 | 0 | 0 | not entailment |
(h&(p&~(l))) | (k|(h|p)) | 1 | 1 | 0 | 0 | entailment |
~((j>((h|((p|p)&h))|p))) | ~((j>(~((h|r))&(j&h)))) | 1 | 1 | 0 | 0 | entailment |
(h&(p&~(l))) | ~((j>(~((h|r))&(j&h)))) | 0 | 0 | 0 | 0 | not entailment |
~((j>((h|((p|p)&h))|p))) | (k|(h|p)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(h))&j) | (((r|(~(r)>l))>~((p|h)))|((h|j)|r)) | 1 | 0 | 0 | 0 | entailment |
((~(k)|~((l>z)))&(u|k)) | ((((u|z)|z)|p)|l) | 1 | 1 | 0 | 0 | entailment |
(~(~(h))&j) | ((((u|z)|z)|p)|l) | 0 | 0 | 0 | 0 | not entailment |
((~(k)|~((l>z)))&(u|k)) | (((r|(~(r)>l))>~((p|h)))|((h|j)|r)) | 0 | 0 | 0 | 0 | not entailment |
~((~((~((h|u))>k))|(~(z)|r))) | (((((r|(h>z))>h)&j)>(u>u))>(((l>z)&r)>p)) | 1 | 0 | 0 | 0 | entailment |
(((~((u&h))>p)&((z|j)&r))&(l|z)) | (~(~(p))>r) | 1 | 1 | 1 | 0 | entailment |
~((~((~((h|u))>k))|(~(z)|r))) | (~(~(p))>r) | 0 | 1 | 0 | 0 | not entailment |
(((~((u&h))>p)&((z|j)&r))&(l|z)) | (((((r|(h>z))>h)&j)>(u>u))>(((l>z)&r)>p)) | 0 | 0 | 1 | 0 | not entailment |
(p&(j|j)) | (~(p)>(r&(p>~((((j|l)>(p&j))|l))))) | 1 | 0 | 0 | 0 | entailment |
~(((h&k)>j)) | ~((((h>k)&j)&(l>r))) | 1 | 0 | 0 | 0 | entailment |
(p&(j|j)) | ~((((h>k)&j)&(l>r))) | 0 | 0 | 0 | 0 | not entailment |
~(((h&k)>j)) | (~(p)>(r&(p>~((((j|l)>(p&j))|l))))) | 0 | 0 | 0 | 0 | not entailment |
~(l) | ~(((l|l)&((z|p)>((h>j)&(u>l))))) | 1 | 0 | 0 | 0 | entailment |
((((k&l)|l)|((z|(k&p))|l))&((~(l)>k)&k)) | ~(~((~(k)>r))) | 1 | 1 | 0 | 0 | entailment |
~(l) | ~(~((~(k)>r))) | 0 | 0 | 0 | 0 | not entailment |
((((k&l)|l)|((z|(k&p))|l))&((~(l)>k)&k)) | ~(((l|l)&((z|p)>((h>j)&(u>l))))) | 0 | 1 | 0 | 0 | not entailment |
(k&(u|(~(((j&k)|j))|~(~(r))))) | ~(~(((~((u&(h&l)))|h)&k))) | 1 | 1 | 0 | 0 | entailment |
(h&(r&j)) | (r&j) | 1 | 1 | 1 | 1 | entailment |
(k&(u|(~(((j&k)|j))|~(~(r))))) | (r&j) | 0 | 1 | 1 | 0 | not entailment |
(h&(r&j)) | ~(~(((~((u&(h&l)))|h)&k))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((p|p)))&((k&j)&p)) | ((h|p)|j) | 1 | 1 | 0 | 0 | entailment |
~(((u|z)|u)) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(~(~((p|p)))&((k&j)&p)) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
~(((u|z)|u)) | ((h|p)|j) | 0 | 1 | 0 | 0 | not entailment |
(~((z&h))&(h&l)) | (~((h>l))>~((j|p))) | 1 | 0 | 0 | 0 | entailment |
(((j>(u|u))>k)&r) | (~(h)|r) | 1 | 1 | 0 | 0 | entailment |
(~((z&h))&(h&l)) | (~(h)|r) | 0 | 1 | 0 | 0 | not entailment |
(((j>(u|u))>k)&r) | (~((h>l))>~((j|p))) | 0 | 0 | 0 | 0 | not entailment |
(((z&(h|(l&p)))&(h>r))&~(k)) | (r>(l>~(((z&(((l|j)&k)&k))&p)))) | 1 | 0 | 0 | 0 | entailment |
(p&((k>h)|z)) | (z>p) | 1 | 1 | 1 | 0 | entailment |
(((z&(h|(l&p)))&(h>r))&~(k)) | (z>p) | 0 | 1 | 1 | 0 | not entailment |
(p&((k>h)|z)) | (r>(l>~(((z&(((l|j)&k)&k))&p)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((h>j))))&(((z|j)|h)&u)) | (~(((k|h)|r))|h) | 1 | 1 | 0 | 0 | entailment |
~(((~(k)&(j|z))>~((~((u&z))>h)))) | (~(k)&(p|(r>(h|z)))) | 1 | 1 | 0 | 0 | entailment |
(~(~(~((h>j))))&(((z|j)|h)&u)) | (~(k)&(p|(r>(h|z)))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(k)&(j|z))>~((~((u&z))>h)))) | (~(((k|h)|r))|h) | 0 | 1 | 0 | 0 | not entailment |
((y&r)&~((r>m))) | (~(z)|((~(y)|(r&~(m)))>(u|y))) | 1 | 0 | 0 | 0 | entailment |
((u>((~(j)&q)&z))&n) | (~(~(~((u|((u|u)&z)))))|~(~((j|n)))) | 1 | 0 | 1 | 0 | entailment |
((y&r)&~((r>m))) | (~(~(~((u|((u|u)&z)))))|~(~((j|n)))) | 0 | 0 | 0 | 0 | not entailment |
((u>((~(j)&q)&z))&n) | (~(z)|((~(y)|(r&~(m)))>(u|y))) | 0 | 0 | 0 | 0 | not entailment |
(~((r>y))&~(q)) | ((~(((j&q)|(z|x)))&((r&(r&x))>(n&r)))|r) | 1 | 0 | 0 | 0 | entailment |
~(m) | ((((r>u)&m)>x)|y) | 1 | 0 | 0 | 0 | entailment |
(~((r>y))&~(q)) | ((((r>u)&m)>x)|y) | 0 | 1 | 0 | 0 | not entailment |
~(m) | ((~(((j&q)|(z|x)))&((r&(r&x))>(n&r)))|r) | 0 | 0 | 0 | 0 | not entailment |
~(~((j&~((((x&z)|~((y|z)))>x))))) | (((z|(j>~(r)))|q)|(~(m)>((z>z)>(x>n)))) | 1 | 0 | 0 | 0 | entailment |
(n>~((n|(~(m)&z)))) | ((z>~((((z>~(z))>y)&(r|q))))>(n>x)) | 1 | 0 | 0 | 0 | entailment |
~(~((j&~((((x&z)|~((y|z)))>x))))) | ((z>~((((z>~(z))>y)&(r|q))))>(n>x)) | 0 | 1 | 0 | 0 | not entailment |
(n>~((n|(~(m)&z)))) | (((z|(j>~(r)))|q)|(~(m)>((z>z)>(x>n)))) | 0 | 0 | 0 | 0 | not entailment |
(((u>(y|u))&(n&(y>q)))|((m&j)|(n&r))) | (~(~(m))|n) | 1 | 1 | 1 | 1 | entailment |
((~(u)|(u>r))&(y&y)) | (z>(u>r)) | 1 | 1 | 0 | 0 | entailment |
(((u>(y|u))&(n&(y>q)))|((m&j)|(n&r))) | (z>(u>r)) | 0 | 1 | 0 | 0 | not entailment |
((~(u)|(u>r))&(y&y)) | (~(~(m))|n) | 0 | 1 | 0 | 0 | not entailment |
(m&~(((((~(q)&n)>(r&q))&z)|(n&z)))) | (m|((z|((r>n)&m))>~((m|x)))) | 1 | 1 | 0 | 0 | entailment |
(x&~(~((~((j|z))>(z&((z&z)&y)))))) | ~(~((x|x))) | 1 | 1 | 1 | 1 | entailment |
(m&~(((((~(q)&n)>(r&q))&z)|(n&z)))) | ~(~((x|x))) | 0 | 1 | 0 | 0 | not entailment |
(x&~(~((~((j|z))>(z&((z&z)&y)))))) | (m|((z|((r>n)&m))>~((m|x)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((z&(n>((~(j)|m)&~(r)))))) | ~((((~(x)|x)|u)>~(((z&z)|(y&n))))) | 1 | 0 | 0 | 0 | entailment |
(~(((z>z)&((u>n)>(r>x))))&(j&(j>r))) | (x>~(((z&z)|~(y)))) | 1 | 1 | 0 | 0 | entailment |
~(~((z&(n>((~(j)|m)&~(r)))))) | (x>~(((z&z)|~(y)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((z>z)&((u>n)>(r>x))))&(j&(j>r))) | ~((((~(x)|x)|u)>~(((z&z)|(y&n))))) | 0 | 1 | 0 | 0 | not entailment |
~(((((z&((r>y)&q))&m)|(z|q))|~((y>m)))) | (z>~(n)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((x>~((r>~(x))))>~(y))))) | (m|y) | 1 | 1 | 0 | 0 | entailment |
~(((((z&((r>y)&q))&m)|(z|q))|~((y>m)))) | (m|y) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((x>~((r>~(x))))>~(y))))) | (z>~(n)) | 0 | 1 | 0 | 0 | not entailment |
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