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 |
|---|---|---|---|---|---|---|
((t&m)&f) | (m|p) | 1 | 1 | 0 | 0 | entailment |
~((~(~(~((((f&l)>q)>~(u)))))>q)) | ((((p>(m|t))>(p>u))>x)|((l|q)|(u|q))) | 1 | 1 | 0 | 0 | entailment |
((t&m)&f) | ((((p>(m|t))>(p>u))>x)|((l|q)|(u|q))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~((((f&l)>q)>~(u)))))>q)) | (m|p) | 0 | 1 | 0 | 0 | not entailment |
(o&~(~(((l|p)&l)))) | (~(~(q))|((f|p)|o)) | 1 | 1 | 0 | 0 | entailment |
~((~(((t|p)|~(~(q))))>((o|t)|p))) | (n>~(q)) | 1 | 1 | 0 | 0 | entailment |
(o&~(~(((l|p)&l)))) | (n>~(q)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((t|p)|~(~(q))))>((o|t)|p))) | (~(~(q))|((f|p)|o)) | 0 | 1 | 0 | 0 | not entailment |
(p&((f|((m>(u|l))>l))>((f|q)&p))) | ((t>n)>((o>p)|((l|t)&o))) | 1 | 1 | 0 | 0 | entailment |
~((m>(n>(t|(t&o))))) | (n&((o|p)|n)) | 1 | 1 | 0 | 0 | entailment |
(p&((f|((m>(u|l))>l))>((f|q)&p))) | (n&((o|p)|n)) | 0 | 1 | 0 | 0 | not entailment |
~((m>(n>(t|(t&o))))) | ((t>n)>((o>p)|((l|t)&o))) | 0 | 0 | 0 | 0 | not entailment |
~((~((q|(n>p)))>(u>(o|p)))) | (((n>(p&p))&((u>u)&o))>~((q&((m|x)>u)))) | 1 | 0 | 0 | 0 | entailment |
~(((f>~(l))|((l&f)>((u|t)|t)))) | (m|~(t)) | 1 | 1 | 0 | 0 | entailment |
~((~((q|(n>p)))>(u>(o|p)))) | (m|~(t)) | 0 | 1 | 0 | 0 | not entailment |
~(((f>~(l))|((l&f)>((u|t)|t)))) | (((n>(p&p))&((u>u)&o))>~((q&((m|x)>u)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(((m&l)>(l>(u|(o&o)))))))&(p|m)) | ~((~(p)&u)) | 1 | 1 | 1 | 1 | entailment |
(x&q) | ~((q>~(q))) | 1 | 0 | 1 | 1 | entailment |
(~(~(~(((m&l)>(l>(u|(o&o)))))))&(p|m)) | ~((q>~(q))) | 0 | 1 | 0 | 0 | not entailment |
(x&q) | ~((~(p)&u)) | 0 | 0 | 0 | 0 | not entailment |
(m|~(((((u>n)&n)>m)&~(u)))) | (~((~(((q|o)|n))>u))>(q|(t>m))) | 1 | 0 | 0 | 0 | entailment |
~((~(((u>o)&(o&(f>f))))>(n|x))) | ((x>o)|(x&~(((((p|o)>t)&t)&t)))) | 1 | 1 | 0 | 0 | entailment |
(m|~(((((u>n)&n)>m)&~(u)))) | ((x>o)|(x&~(((((p|o)>t)&t)&t)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((u>o)&(o&(f>f))))>(n|x))) | (~((~(((q|o)|n))>u))>(q|(t>m))) | 0 | 1 | 0 | 0 | not entailment |
(((l>p)&m)&l) | ((m|(q|p))|~(~(((n|n)>(t&p))))) | 1 | 0 | 0 | 0 | entailment |
((x&x)&u) | ((q&m)|(f|(n|u))) | 1 | 0 | 0 | 0 | entailment |
(((l>p)&m)&l) | ((q&m)|(f|(n|u))) | 0 | 0 | 0 | 0 | not entailment |
((x&x)&u) | ((m|(q|p))|~(~(((n|n)>(t&p))))) | 0 | 0 | 0 | 0 | not entailment |
(p&~(l)) | (n|(p|p)) | 1 | 1 | 0 | 0 | entailment |
~((~(((p&p)|(o>(m&q))))>(f|~(q)))) | (p>~(~(~((x>f))))) | 1 | 1 | 0 | 0 | entailment |
(p&~(l)) | (p>~(~(~((x>f))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((p&p)|(o>(m&q))))>(f|~(q)))) | (n|(p|p)) | 0 | 1 | 0 | 0 | not entailment |
((((n>p)&u)&m)&(((u>o)&o)>(x>p))) | ((n>m)|(~(~(~(((f&o)>(t|l)))))>p)) | 1 | 0 | 0 | 0 | entailment |
(o&~((x&o))) | ((f&u)>o) | 1 | 1 | 0 | 0 | entailment |
((((n>p)&u)&m)&(((u>o)&o)>(x>p))) | ((f&u)>o) | 0 | 1 | 0 | 0 | not entailment |
(o&~((x&o))) | ((n>m)|(~(~(~(((f&o)>(t|l)))))>p)) | 0 | 0 | 0 | 0 | not entailment |
((l&p)&((l&~(f))&(q&q))) | (n|~(~((~(~((x|n)))|l)))) | 1 | 0 | 0 | 0 | entailment |
~(((x&(n>q))|~((m|(m&(l&l)))))) | (((f>n)|f)&((t>m)|x)) | 1 | 1 | 0 | 0 | entailment |
((l&p)&((l&~(f))&(q&q))) | (((f>n)|f)&((t>m)|x)) | 0 | 1 | 0 | 0 | not entailment |
~(((x&(n>q))|~((m|(m&(l&l)))))) | (n|~(~((~(~((x|n)))|l)))) | 0 | 1 | 1 | 0 | not entailment |
(((n|~(((t&n)>p)))>(p&(u&o)))&((o&n)&f)) | (x|((u>(t>f))|m)) | 1 | 1 | 0 | 0 | entailment |
(~((l&o))&q) | (~(f)|q) | 1 | 1 | 0 | 0 | entailment |
(((n|~(((t&n)>p)))>(p&(u&o)))&((o&n)&f)) | (~(f)|q) | 0 | 1 | 0 | 0 | not entailment |
(~((l&o))&q) | (x|((u>(t>f))|m)) | 0 | 0 | 0 | 0 | not entailment |
((q&n)&p) | ((((p&(u>m))|t)|((u>x)>~(~(u))))|t) | 1 | 0 | 0 | 0 | entailment |
((((p>(u&(u>x)))>x)>~((p|(q&x))))&(q&o)) | ~(((((f|n)|(o&~((m>~(o)))))&m)&p)) | 1 | 1 | 0 | 0 | entailment |
((q&n)&p) | ~(((((f|n)|(o&~((m>~(o)))))&m)&p)) | 0 | 0 | 0 | 0 | not entailment |
((((p>(u&(u>x)))>x)>~((p|(q&x))))&(q&o)) | ((((p&(u>m))|t)|((u>x)>~(~(u))))|t) | 0 | 1 | 0 | 0 | not entailment |
(o&(((m&f)&u)>~((m&n)))) | (((x|p)|~((p|n)))>o) | 1 | 1 | 0 | 0 | entailment |
~(((((m|o)>q)>(n&x))|(u>(n|x)))) | (~(t)|(m|u)) | 1 | 1 | 0 | 0 | entailment |
(o&(((m&f)&u)>~((m&n)))) | (~(t)|(m|u)) | 0 | 1 | 0 | 0 | not entailment |
~(((((m|o)>q)>(n&x))|(u>(n|x)))) | (((x|p)|~((p|n)))>o) | 0 | 1 | 0 | 0 | not entailment |
(((n|n)&~((x>q)))&~(~(o))) | (((q|q)>~((p|t)))>((o>(n>(x|m)))|(q&x))) | 1 | 0 | 0 | 0 | entailment |
~((u>l)) | ((u&(u|(x>p)))|(p>~((m>~(n))))) | 1 | 0 | 0 | 0 | entailment |
(((n|n)&~((x>q)))&~(~(o))) | ((u&(u|(x>p)))|(p>~((m>~(n))))) | 0 | 0 | 0 | 0 | not entailment |
~((u>l)) | (((q|q)>~((p|t)))>((o>(n>(x|m)))|(q&x))) | 0 | 0 | 0 | 0 | not entailment |
(~(x)&(u&(~(m)&(~(~(n))>u)))) | (((m|(p>o))|u)|u) | 1 | 1 | 0 | 0 | entailment |
(f>(~((o|~((l&o))))&u)) | ((t|f)>(x|(~((u&~((f|n))))>(f>q)))) | 1 | 0 | 0 | 0 | entailment |
(~(x)&(u&(~(m)&(~(~(n))>u)))) | ((t|f)>(x|(~((u&~((f|n))))>(f>q)))) | 0 | 0 | 0 | 0 | not entailment |
(f>(~((o|~((l&o))))&u)) | (((m|(p>o))|u)|u) | 0 | 1 | 0 | 0 | not entailment |
~(((t|p)>~(~((x|(p|~(~(m)))))))) | ~(~((m>o))) | 1 | 1 | 0 | 0 | entailment |
(n&(((l>(l>o))|(l&n))&x)) | (n|(x|(q&(u&q)))) | 1 | 1 | 0 | 0 | entailment |
~(((t|p)>~(~((x|(p|~(~(m)))))))) | (n|(x|(q&(u&q)))) | 0 | 1 | 0 | 0 | not entailment |
(n&(((l>(l>o))|(l&n))&x)) | ~(~((m>o))) | 0 | 1 | 0 | 0 | not entailment |
((((q>(n>t))&x)|(x>o))&(o&x)) | (~(o)>(u|m)) | 1 | 1 | 0 | 0 | entailment |
(q>~(((~(n)|~(p))|(l|((n&(p>x))>x))))) | ~(((~(~(t))>~((l&q)))>~((l>l)))) | 1 | 1 | 0 | 0 | entailment |
((((q>(n>t))&x)|(x>o))&(o&x)) | ~(((~(~(t))>~((l&q)))>~((l>l)))) | 0 | 0 | 0 | 0 | not entailment |
(q>~(((~(n)|~(p))|(l|((n&(p>x))>x))))) | (~(o)>(u|m)) | 0 | 1 | 0 | 0 | not entailment |
((q&((q|f)>n))&(o&m)) | (f|(n|o)) | 1 | 1 | 1 | 0 | entailment |
((~(~(t))>q)>(((l>q)>(u>f))&x)) | (x|(p|(t|~(q)))) | 1 | 1 | 0 | 0 | entailment |
((q&((q|f)>n))&(o&m)) | (x|(p|(t|~(q)))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(t))>q)>(((l>q)>(u>f))&x)) | (f|(n|o)) | 0 | 1 | 0 | 0 | not entailment |
((p&((m>(p>p))&m))|m) | ((~(p)&(~(p)&~(p)))>m) | 1 | 0 | 1 | 1 | entailment |
((m>p)&(~(l)>l)) | (~(p)>l) | 1 | 1 | 1 | 1 | entailment |
((p&((m>(p>p))&m))|m) | (~(p)>l) | 0 | 1 | 0 | 0 | not entailment |
((m>p)&(~(l)>l)) | ((~(p)&(~(p)&~(p)))>m) | 0 | 0 | 1 | 0 | not entailment |
~(~(p)) | (p|(((m&m)&~(p))&p)) | 1 | 0 | 0 | 0 | entailment |
(m&(p|(l|l))) | (((~(l)|l)>((l|m)|(l|l)))&((l>(l&m))&m)) | 1 | 0 | 1 | 0 | entailment |
~(~(p)) | (((~(l)|l)>((l|m)|(l|l)))&((l>(l&m))&m)) | 0 | 0 | 0 | 0 | not entailment |
(m&(p|(l|l))) | (p|(((m&m)&~(p))&p)) | 0 | 0 | 1 | 0 | not entailment |
(m|~(((m&(p>(m|m)))>p))) | ((l|p)|((p>~(m))>m)) | 1 | 1 | 0 | 0 | entailment |
(~(l)&(m>((l>(l|m))&l))) | ((m|m)>((l>m)>l)) | 1 | 1 | 1 | 1 | entailment |
(m|~(((m&(p>(m|m)))>p))) | ((m|m)>((l>m)>l)) | 0 | 1 | 0 | 0 | not entailment |
(~(l)&(m>((l>(l|m))&l))) | ((l|p)|((p>~(m))>m)) | 0 | 1 | 0 | 0 | not entailment |
~(((l|p)>((m|l)|l))) | ((l>(~(p)|(m|m)))>((l|((m>m)>p))&p)) | 1 | 0 | 1 | 0 | entailment |
~((m>(m&(m>p)))) | (~(m)>((l&p)&l)) | 1 | 1 | 0 | 0 | entailment |
~(((l|p)>((m|l)|l))) | (~(m)>((l&p)&l)) | 0 | 1 | 1 | 0 | not entailment |
~((m>(m&(m>p)))) | ((l>(~(p)|(m|m)))>((l|((m>m)>p))&p)) | 0 | 0 | 0 | 0 | not entailment |
(p&p) | (p|m) | 1 | 1 | 0 | 0 | entailment |
((l|~(p))&~(l)) | ~(l) | 1 | 1 | 1 | 1 | entailment |
(p&p) | ~(l) | 0 | 1 | 0 | 0 | not entailment |
((l|~(p))&~(l)) | (p|m) | 0 | 1 | 0 | 0 | not entailment |
(((l|(m>m))>p)&((l>l)&~((p&l)))) | (p&((m&((((l|p)|p)>l)&(l&l)))>(m>l))) | 1 | 0 | 1 | 1 | entailment |
((m&l)|(l&(p&l))) | ((p>(~((p>p))|l))|m) | 1 | 0 | 1 | 0 | entailment |
(((l|(m>m))>p)&((l>l)&~((p&l)))) | ((p>(~((p>p))|l))|m) | 0 | 1 | 1 | 1 | not entailment |
((m&l)|(l&(p&l))) | (p&((m&((((l|p)|p)>l)&(l&l)))>(m>l))) | 0 | 0 | 1 | 0 | not entailment |
(p&l) | ((p>~(~((p&l))))|m) | 1 | 0 | 0 | 0 | entailment |
~(((l&l)|m)) | ~(((m>(m|p))&m)) | 1 | 0 | 0 | 0 | entailment |
(p&l) | ~(((m>(m|p))&m)) | 0 | 0 | 0 | 0 | not entailment |
~(((l&l)|m)) | ((p>~(~((p&l))))|m) | 0 | 0 | 0 | 0 | not entailment |
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