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 |
|---|---|---|---|---|---|---|
~(((z&(o&~(~((u>(k&(u|z)))))))>(b&d))) | (k|~(u)) | 1 | 1 | 1 | 1 | entailment |
~((~(u)|(b&(((u&k)|b)&~(b))))) | ((k|~(h))>u) | 1 | 1 | 0 | 0 | entailment |
~(((z&(o&~(~((u>(k&(u|z)))))))>(b&d))) | ((k|~(h))>u) | 0 | 1 | 0 | 0 | not entailment |
~((~(u)|(b&(((u&k)|b)&~(b))))) | (k|~(u)) | 0 | 1 | 1 | 0 | not entailment |
~((h|(o&~((z|~(k)))))) | ((u|u)|(h>(((o&b)>(h>d))>d))) | 1 | 0 | 0 | 0 | entailment |
~(~(((k>h)&((((h>h)|u)|(z|d))&z)))) | (~(~(z))|(d>(d>h))) | 1 | 1 | 1 | 0 | entailment |
~((h|(o&~((z|~(k)))))) | (~(~(z))|(d>(d>h))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((k>h)&((((h>h)|u)|(z|d))&z)))) | ((u|u)|(h>(((o&b)>(h>d))>d))) | 0 | 1 | 0 | 0 | not entailment |
~(((z>(k>b))|u)) | (~((~(o)>k))>u) | 1 | 1 | 0 | 0 | entailment |
(((b>o)&d)&(z>(b&((u|(~(b)|k))&h)))) | ((z&~(o))>(~(k)|d)) | 1 | 1 | 1 | 0 | entailment |
~(((z>(k>b))|u)) | ((z&~(o))>(~(k)|d)) | 0 | 0 | 0 | 0 | not entailment |
(((b>o)&d)&(z>(b&((u|(~(b)|k))&h)))) | (~((~(o)>k))>u) | 0 | 1 | 1 | 1 | not entailment |
(~(s)&(~((s>(s&s)))>((s&(s>s))|s))) | ~(((s>s)&s)) | 1 | 1 | 1 | 1 | entailment |
(~(~(s))&s) | ~(~(s)) | 1 | 1 | 1 | 1 | entailment |
(~(s)&(~((s>(s&s)))>((s&(s>s))|s))) | ~(~(s)) | 0 | 1 | 1 | 1 | not entailment |
(~(~(s))&s) | ~(((s>s)&s)) | 0 | 1 | 1 | 0 | not entailment |
(~((~((s>s))|s))|((s>s)>~(s))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(s|s) | (((s>s)>s)|(s|((s|s)|((s|s)|s)))) | 1 | 0 | 1 | 0 | entailment |
(~((~((s>s))|s))|((s>s)>~(s))) | (((s>s)>s)|(s|((s|s)|((s|s)|s)))) | 0 | 1 | 1 | 1 | not entailment |
(s|s) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
~((s&(((s>(s>s))&(s>s))>s))) | ~((s&(s>(s|s)))) | 1 | 1 | 1 | 1 | entailment |
(s&(s>(s>(s|s)))) | (s&(s&((((s>s)&s)|s)|((s|s)|s)))) | 1 | 0 | 1 | 1 | entailment |
~((s&(((s>(s>s))&(s>s))>s))) | (s&(s&((((s>s)&s)|s)|((s|s)|s)))) | 0 | 0 | 1 | 1 | not entailment |
(s&(s>(s>(s|s)))) | ~((s&(s>(s|s)))) | 0 | 1 | 1 | 1 | not entailment |
~((((s|~(s))>(s>s))&s)) | ~((s|~((s|~(s))))) | 1 | 1 | 1 | 1 | entailment |
(s|s) | (s|s) | 1 | 1 | 1 | 1 | entailment |
~((((s|~(s))>(s>s))&s)) | (s|s) | 0 | 1 | 1 | 1 | not entailment |
(s|s) | ~((s|~((s|~(s))))) | 0 | 0 | 1 | 0 | not entailment |
((s|s)>~((s&((~(~((s&s)))>s)>s)))) | ~((((s|s)&(s|s))&s)) | 1 | 1 | 1 | 1 | entailment |
(s|s) | ~(~(((s|s)&s))) | 1 | 0 | 1 | 1 | entailment |
((s|s)>~((s&((~(~((s&s)))>s)>s)))) | ~(~(((s|s)&s))) | 0 | 1 | 1 | 1 | not entailment |
(s|s) | ~((((s|s)&(s|s))&s)) | 0 | 0 | 1 | 0 | not entailment |
~((((s>(s>s))|~(s))>s)) | ~((((s&s)&(s>s))|(~((s>s))&~(s)))) | 1 | 0 | 1 | 1 | entailment |
(s&s) | (s&(s>(s|s))) | 1 | 0 | 1 | 0 | entailment |
~((((s>(s>s))|~(s))>s)) | (s&(s>(s|s))) | 0 | 1 | 1 | 1 | not entailment |
(s&s) | ~((((s&s)&(s>s))|(~((s>s))&~(s)))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(~(s)))&((s|~(s))|s)) | ~((s&s)) | 1 | 1 | 1 | 1 | entailment |
(s&s) | ((s&(s>(~(~(s))>s)))|((s&s)|s)) | 1 | 0 | 1 | 0 | entailment |
(~(~(~(s)))&((s|~(s))|s)) | ((s&(s>(~(~(s))>s)))|((s&s)|s)) | 0 | 0 | 1 | 1 | not entailment |
(s&s) | ~((s&s)) | 0 | 0 | 1 | 0 | not entailment |
(s|s) | (s&~(~((s&s)))) | 1 | 0 | 1 | 1 | entailment |
~((((s|s)>s)&(((s|s)|s)&s))) | ((s|(s&(s&s)))>~(s)) | 1 | 1 | 1 | 1 | entailment |
(s|s) | ((s|(s&(s&s)))>~(s)) | 0 | 0 | 1 | 0 | not entailment |
~((((s|s)>s)&(((s|s)|s)&s))) | (s&~(~((s&s)))) | 0 | 1 | 1 | 1 | not entailment |
(e&p) | (((m&e)&(r|u))>p) | 1 | 0 | 0 | 0 | entailment |
~((((e&u)|~(~((l&m))))|((j|s)&s))) | ~(((s&~(j))&(p|((j>e)|((o>m)&j))))) | 1 | 1 | 0 | 0 | entailment |
(e&p) | ~(((s&~(j))&(p|((j>e)|((o>m)&j))))) | 0 | 0 | 0 | 0 | not entailment |
~((((e&u)|~(~((l&m))))|((j|s)&s))) | (((m&e)&(r|u))>p) | 0 | 1 | 0 | 0 | not entailment |
(~(((m>~(m))>u))&(o&s)) | (r>(~(~((((m|~(m))&(r>m))|r)))&(s|p))) | 1 | 0 | 0 | 0 | entailment |
(((~(u)&~(~(~(s))))&m)&((s|r)>(s>s))) | ((l>u)|(~(r)>m)) | 1 | 1 | 0 | 0 | entailment |
(~(((m>~(m))>u))&(o&s)) | ((l>u)|(~(r)>m)) | 0 | 1 | 0 | 0 | not entailment |
(((~(u)&~(~(~(s))))&m)&((s|r)>(s>s))) | (r>(~(~((((m|~(m))&(r>m))|r)))&(s|p))) | 0 | 1 | 0 | 0 | not entailment |
(m&s) | (p>(s&m)) | 1 | 0 | 0 | 0 | entailment |
(o&(j>(~(e)>~((j>m))))) | (o|r) | 1 | 1 | 0 | 0 | entailment |
(m&s) | (o|r) | 0 | 1 | 0 | 0 | not entailment |
(o&(j>(~(e)>~((j>m))))) | (p>(s&m)) | 0 | 1 | 0 | 0 | not entailment |
~(((e&s)>r)) | ((u|j)>(~(e)>(((l>o)|(l|~(j)))>u))) | 1 | 0 | 0 | 0 | entailment |
((~(~(~((u>u))))>(s&(p>((l|p)&e))))>p) | (p|u) | 1 | 1 | 1 | 1 | entailment |
~(((e&s)>r)) | (p|u) | 0 | 1 | 0 | 0 | not entailment |
((~(~(~((u>u))))>(s&(p>((l|p)&e))))>p) | ((u|j)>(~(e)>(((l>o)|(l|~(j)))>u))) | 0 | 1 | 0 | 0 | not entailment |
((~(r)&(s|s))&(p|l)) | (s|~((r>(m|u)))) | 1 | 1 | 0 | 0 | entailment |
((~((e|s))&~(~((p|s))))&((e&(o&s))>u)) | (s>(j>~(~(((u>j)>(e&l)))))) | 1 | 1 | 0 | 0 | entailment |
((~(r)&(s|s))&(p|l)) | (s>(j>~(~(((u>j)>(e&l)))))) | 0 | 0 | 0 | 0 | not entailment |
((~((e|s))&~(~((p|s))))&((e&(o&s))>u)) | (s|~((r>(m|u)))) | 0 | 1 | 0 | 0 | not entailment |
(~((o|((p&p)|r)))&((l>(e|r))>~(j))) | (~((e|(e|(~(s)|(r>p)))))>(r&e)) | 1 | 1 | 0 | 0 | entailment |
~(e) | ((e>(j|(o|p)))|o) | 1 | 0 | 0 | 0 | entailment |
(~((o|((p&p)|r)))&((l>(e|r))>~(j))) | ((e>(j|(o|p)))|o) | 0 | 1 | 1 | 0 | not entailment |
~(e) | (~((e|(e|(~(s)|(r>p)))))>(r&e)) | 0 | 0 | 0 | 0 | not entailment |
~((~(r)>e)) | (~(~(r))>((l>(u|s))&((l&s)|(m|u)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(r))&~(((m&(e&o))>s))) | (((l|l)>((((u&u)&m)>r)&e))|s) | 1 | 1 | 0 | 0 | entailment |
~((~(r)>e)) | (((l|l)>((((u&u)&m)>r)&e))|s) | 0 | 0 | 0 | 0 | not entailment |
(~(~(r))&~(((m&(e&o))>s))) | (~(~(r))>((l>(u|s))&((l&s)|(m|u)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e&u))|j)) | (l>((j|~((u>(s|e))))>(e&~(s)))) | 1 | 0 | 0 | 0 | entailment |
(~((r|r))&(l>(s|p))) | (r>(o&((l&m)>m))) | 1 | 1 | 0 | 0 | entailment |
~((~((e&u))|j)) | (r>(o&((l&m)>m))) | 0 | 1 | 0 | 0 | not entailment |
(~((r|r))&(l>(s|p))) | (l>((j|~((u>(s|e))))>(e&~(s)))) | 0 | 0 | 0 | 0 | not entailment |
~((((u&o)&u)|e)) | ((e&r)>((r>((o&p)|(u|l)))&~(~(u)))) | 1 | 0 | 0 | 0 | entailment |
~((~(r)&(~((~((o|~(e)))>s))>(m>p)))) | (((r|r)|e)|~(~((((r>(u>r))|(e&u))&e)))) | 1 | 1 | 0 | 0 | entailment |
~((((u&o)&u)|e)) | (((r|r)|e)|~(~((((r>(u>r))|(e&u))&e)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(r)&(~((~((o|~(e)))>s))>(m>p)))) | ((e&r)>((r>((o&p)|(u|l)))&~(~(u)))) | 0 | 1 | 0 | 0 | not entailment |
(~(e)&((p|~((u|o)))>~(~(o)))) | ((o&e)>(s|p)) | 1 | 1 | 0 | 0 | entailment |
~(~(((u|u)&((p>(l>m))>((s&p)|m))))) | (u&u) | 1 | 1 | 1 | 1 | entailment |
(~(e)&((p|~((u|o)))>~(~(o)))) | (u&u) | 0 | 1 | 1 | 1 | not entailment |
~(~(((u|u)&((p>(l>m))>((s&p)|m))))) | ((o&e)>(s|p)) | 0 | 1 | 0 | 0 | not entailment |
(j&p) | (o|(~((r|((e&j)|(~(m)>e))))>p)) | 1 | 0 | 0 | 0 | entailment |
(p>o) | (((r&p)|~((j|o)))>(p>o)) | 1 | 0 | 0 | 0 | entailment |
(j&p) | (((r&p)|~((j|o)))>(p>o)) | 0 | 0 | 0 | 0 | not entailment |
(p>o) | (o|(~((r|((e&j)|(~(m)>e))))>p)) | 0 | 0 | 0 | 0 | not entailment |
((p&p)&~((~(((o&(j&o))>(l|l)))&(p|j)))) | ((m&(((~(s)>r)>l)&p))|p) | 1 | 1 | 0 | 0 | entailment |
(e&((~((~(~(l))|p))>e)&m)) | (((o>j)>m)|r) | 1 | 1 | 0 | 0 | entailment |
((p&p)&~((~(((o&(j&o))>(l|l)))&(p|j)))) | (((o>j)>m)|r) | 0 | 1 | 0 | 0 | not entailment |
(e&((~((~(~(l))|p))>e)&m)) | ((m&(((~(s)>r)>l)&p))|p) | 0 | 1 | 0 | 0 | not entailment |
(((e|(j>o))|o)&(((e|l)&m)&~(p))) | ((s|o)|(p>((s|(m|e))&((l>p)&e)))) | 1 | 1 | 0 | 0 | entailment |
~(((o|j)>(o&(m|(u>(u|(p|p))))))) | (((e>u)>j)|s) | 1 | 1 | 0 | 0 | entailment |
(((e|(j>o))|o)&(((e|l)&m)&~(p))) | (((e>u)>j)|s) | 0 | 1 | 0 | 0 | not entailment |
~(((o|j)>(o&(m|(u>(u|(p|p))))))) | ((s|o)|(p>((s|(m|e))&((l>p)&e)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((s>s)>~((j>s)))))) | (j>(((p&e)|s)|(~((s&l))&~((p&r))))) | 1 | 0 | 0 | 0 | entailment |
(u&((~((p&s))|u)>((j|o)&~(m)))) | (~(u)>e) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((s>s)>~((j>s)))))) | (~(u)>e) | 0 | 1 | 0 | 0 | not entailment |
(u&((~((p&s))|u)>((j|o)&~(m)))) | (j>(((p&e)|s)|(~((s&l))&~((p&r))))) | 0 | 0 | 0 | 0 | not entailment |
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