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 |
|---|---|---|---|---|---|---|
~((~(l)|~((e>e)))) | (m>~(~(((~(l)>f)&(~(l)>k))))) | 1 | 0 | 0 | 0 | entailment |
~((k>(l&((e>m)>m)))) | (e|((k&k)&((e>l)|((f|f)|(e|f))))) | 1 | 0 | 0 | 0 | entailment |
~((~(l)|~((e>e)))) | (e|((k&k)&((e>l)|((f|f)|(e|f))))) | 0 | 0 | 0 | 0 | not entailment |
~((k>(l&((e>m)>m)))) | (m>~(~(((~(l)>f)&(~(l)>k))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(m))&k) | (~((e&e))|(((e>(k&k))>f)>(l|m))) | 1 | 0 | 0 | 0 | entailment |
((~((e>e))|k)&((((e&~(l))>l)>l)&e)) | ((~((e|f))|(l>l))&e) | 1 | 1 | 0 | 0 | entailment |
(~(~(m))&k) | ((~((e|f))|(l>l))&e) | 0 | 0 | 0 | 0 | not entailment |
((~((e>e))|k)&((((e&~(l))>l)>l)&e)) | (~((e&e))|(((e>(k&k))>f)>(l|m))) | 0 | 1 | 0 | 0 | not entailment |
(m&f) | (~((l|m))>l) | 1 | 0 | 0 | 0 | entailment |
(m&f) | (f>k) | 0 | 1 | 0 | 0 | not entailment |
~(f) | (~((l|m))>l) | 0 | 0 | 0 | 0 | not entailment |
((((((e&~(f))>k)&f)&f)&k)&(e>l)) | ((~((~(e)&(k|(k&l))))>e)|(f>m)) | 1 | 1 | 0 | 0 | entailment |
~((k|(l&e))) | (k>((~(((~(e)>(k&k))|e))>k)>l)) | 1 | 0 | 1 | 0 | entailment |
((((((e&~(f))>k)&f)&f)&k)&(e>l)) | (k>((~(((~(e)>(k&k))|e))>k)>l)) | 0 | 1 | 1 | 0 | not entailment |
~((k|(l&e))) | ((~((~(e)&(k|(k&l))))>e)|(f>m)) | 0 | 0 | 0 | 0 | not entailment |
~(((k|((e&m)>(e|e)))>(k>~((m&k))))) | ((m|~(k))&m) | 1 | 1 | 1 | 0 | entailment |
(~(((m>(((k&m)>k)&m))&l))|((e&k)&f)) | ((f|f)|~(l)) | 1 | 1 | 1 | 1 | entailment |
~(((k|((e&m)>(e|e)))>(k>~((m&k))))) | ((f|f)|~(l)) | 0 | 1 | 0 | 0 | not entailment |
(~(((m>(((k&m)>k)&m))&l))|((e&k)&f)) | ((m|~(k))&m) | 0 | 1 | 1 | 1 | not entailment |
((e>~(e))&(l&(k&m))) | (m|((l|l)>k)) | 1 | 1 | 1 | 0 | entailment |
(l&e) | (((l|(l&l))>l)&((~((l|m))>f)>e)) | 1 | 0 | 0 | 0 | entailment |
((e>~(e))&(l&(k&m))) | (((l|(l&l))>l)&((~((l|m))>f)>e)) | 0 | 0 | 0 | 0 | not entailment |
(l&e) | (m|((l|l)>k)) | 0 | 0 | 0 | 0 | not entailment |
(((((m>f)>e)|m)|f)>(~(((f&m)>f))&~(m))) | ((l>(l>(k&l)))>((f>(f&m))&(m>((k&e)&m)))) | 1 | 1 | 0 | 0 | entailment |
(((e>k)&(~(f)|e))&((((e>k)|f)|(f&f))>k)) | ((k&e)|k) | 1 | 1 | 1 | 1 | entailment |
(((((m>f)>e)|m)|f)>(~(((f&m)>f))&~(m))) | ((k&e)|k) | 0 | 1 | 0 | 0 | not entailment |
(((e>k)&(~(f)|e))&((((e>k)|f)|(f&f))>k)) | ((l>(l>(k&l)))>((f>(f&m))&(m>((k&e)&m)))) | 0 | 1 | 0 | 0 | not entailment |
(m&(l&e)) | (((e>e)&(m|k))|(f>~(l))) | 1 | 0 | 0 | 0 | entailment |
(~((((m&m)&l)|((l>f)|(f>k))))|(f&(f|k))) | (~(~((e>(~(k)&m))))>f) | 1 | 1 | 0 | 0 | entailment |
(m&(l&e)) | (~(~((e>(~(k)&m))))>f) | 0 | 0 | 0 | 0 | not entailment |
(~((((m&m)&l)|((l>f)|(f>k))))|(f&(f|k))) | (((e>e)&(m|k))|(f>~(l))) | 0 | 1 | 0 | 0 | not entailment |
(e&((m&(~(k)>((k&l)>l)))>(m|(k|f)))) | ((f>e)>e) | 1 | 1 | 1 | 0 | entailment |
(((k>(m&k))>(l|(m>l)))&(m&k)) | (m>~(~((k|l)))) | 1 | 1 | 1 | 1 | entailment |
(e&((m&(~(k)>((k&l)>l)))>(m|(k|f)))) | (m>~(~((k|l)))) | 0 | 1 | 1 | 1 | not entailment |
(((k>(m&k))>(l|(m>l)))&(m&k)) | ((f>e)>e) | 0 | 1 | 0 | 0 | not entailment |
((e&l)&k) | ((f&(m>f))|(e&((k&(m|l))|(f|(f&(m&k)))))) | 1 | 0 | 0 | 0 | entailment |
~((((f&~(e))>(~(m)&(e&~((l|e)))))>k)) | ~(k) | 1 | 1 | 1 | 1 | entailment |
((e&l)&k) | ~(k) | 0 | 1 | 1 | 0 | not entailment |
~((((f&~(e))>(~(m)&(e&~((l|e)))))>k)) | ((f&(m>f))|(e&((k&(m|l))|(f|(f&(m&k)))))) | 0 | 1 | 1 | 0 | not entailment |
(l&m) | ((l>(k>e))>(~((k>~(f)))>e)) | 1 | 0 | 0 | 0 | entailment |
((((k>f)>m)>((m|k)&(m|e)))&f) | ~(~(f)) | 1 | 1 | 1 | 1 | entailment |
(l&m) | ~(~(f)) | 0 | 0 | 0 | 0 | not entailment |
((((k>f)>m)>((m|k)&(m|e)))&f) | ((l>(k>e))>(~((k>~(f)))>e)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(m))>(l|f))) | ((f|l)>e) | 1 | 1 | 0 | 0 | entailment |
~(~(~((((f|m)>m)>(l>m))))) | (((f>~(e))>l)|l) | 1 | 1 | 0 | 0 | entailment |
~((~(~(m))>(l|f))) | (((f>~(e))>l)|l) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((f|m)>m)>(l>m))))) | ((f|l)>e) | 0 | 1 | 0 | 0 | not entailment |
(l&m) | ((~(~(k))|k)|(f>(l|l))) | 1 | 0 | 0 | 0 | entailment |
((m|(m|m))&~((k|(l&m)))) | (l>f) | 1 | 1 | 0 | 0 | entailment |
(l&m) | (l>f) | 0 | 1 | 0 | 0 | not entailment |
((m|(m|m))&~((k|(l&m)))) | ((~(~(k))|k)|(f>(l|l))) | 0 | 1 | 0 | 0 | not entailment |
(~((r|(r>r)))|((r>(k>k))&p)) | (~(((r>r)|~((r>k))))|p) | 1 | 1 | 1 | 1 | entailment |
(k|~(~((r&k)))) | ((~(~(r))&((k|r)|p))|k) | 1 | 0 | 0 | 0 | entailment |
(~((r|(r>r)))|((r>(k>k))&p)) | ((~(~(r))&((k|r)|p))|k) | 0 | 1 | 1 | 1 | not entailment |
(k|~(~((r&k)))) | (~(((r>r)|~((r>k))))|p) | 0 | 0 | 0 | 0 | not entailment |
(((((r>k)>r)&(p|r))&((r|k)|k))&~((p&r))) | (r|~(~(~((p&(~((k&k))|r)))))) | 1 | 1 | 1 | 1 | entailment |
~(((~(p)>(k&((r>(r&r))&k)))>r)) | (((p>k)&((p>r)>r))>(~((p>k))|p)) | 1 | 1 | 1 | 0 | entailment |
(((((r>k)>r)&(p|r))&((r|k)|k))&~((p&r))) | (((p>k)&((p>r)>r))>(~((p>k))|p)) | 0 | 1 | 1 | 1 | not entailment |
~(((~(p)>(k&((r>(r&r))&k)))>r)) | (r|~(~(~((p&(~((k&k))|r)))))) | 0 | 1 | 1 | 0 | not entailment |
((p&(k>p))&r) | (~(r)>(r|(k>~(~((r|(p>r))))))) | 1 | 0 | 1 | 0 | entailment |
~(r) | (k|~(~((r>~((r|k)))))) | 1 | 0 | 0 | 0 | entailment |
((p&(k>p))&r) | (k|~(~((r>~((r|k)))))) | 0 | 0 | 1 | 0 | not entailment |
~(r) | (~(r)>(r|(k>~(~((r|(p>r))))))) | 0 | 0 | 0 | 0 | not entailment |
(((k&(k&r))>k)&(k&~(r))) | ((k|~(r))|(p&(r|p))) | 1 | 1 | 0 | 0 | entailment |
(r|(k&r)) | (((k|(~(p)>(p>p)))|~(p))&(r|(k>r))) | 1 | 0 | 0 | 0 | entailment |
(((k&(k&r))>k)&(k&~(r))) | (((k|(~(p)>(p>p)))|~(p))&(r|(k>r))) | 0 | 0 | 0 | 0 | not entailment |
(r|(k&r)) | ((k|~(r))|(p&(r|p))) | 0 | 0 | 0 | 0 | not entailment |
(p&(r|p)) | ((r>p)&(p&(((p|r)|k)&p))) | 1 | 0 | 0 | 0 | entailment |
((k>p)>(r&k)) | ~(~((((((r|r)&(p|p))>(k&r))>k)>k))) | 1 | 0 | 1 | 0 | entailment |
(p&(r|p)) | ~(~((((((r|r)&(p|p))>(k&r))>k)>k))) | 0 | 0 | 0 | 0 | not entailment |
((k>p)>(r&k)) | ((r>p)&(p&(((p|r)|k)&p))) | 0 | 0 | 1 | 0 | not entailment |
(((((p|(k>p))&~(p))|(k&r))>(p>p))&p) | (((~(p)>k)>~((r|k)))|(~(p)>((r>p)>r))) | 1 | 0 | 1 | 0 | entailment |
~((r|p)) | (k|(~(~(~(p)))|((k>k)>k))) | 1 | 0 | 0 | 0 | entailment |
(((((p|(k>p))&~(p))|(k&r))>(p>p))&p) | (k|(~(~(~(p)))|((k>k)>k))) | 0 | 1 | 1 | 1 | not entailment |
~((r|p)) | (((~(p)>k)>~((r|k)))|(~(p)>((r>p)>r))) | 0 | 0 | 0 | 0 | not entailment |
(((p|(r|r))>~((k&((k>k)>(p&(k>p))))))&p) | (((r&(~(k)&k))>~(~((r|((k&p)|k)))))>p) | 1 | 1 | 1 | 0 | entailment |
~((((k&r)|k)>(r&(~(~(p))|r)))) | (r>((k&~(~(~(p))))&p)) | 1 | 1 | 1 | 0 | entailment |
(((p|(r|r))>~((k&((k>k)>(p&(k>p))))))&p) | (r>((k&~(~(~(p))))&p)) | 0 | 1 | 1 | 1 | not entailment |
~((((k&r)|k)>(r&(~(~(p))|r)))) | (((r&(~(k)&k))>~(~((r|((k&p)|k)))))>p) | 0 | 0 | 1 | 0 | not entailment |
((k>k)>~((p>(k>(p&(r&p)))))) | (~((r&p))|k) | 1 | 1 | 1 | 1 | entailment |
((~(k)>(k&p))>(r&(r>(p|r)))) | (~(((k|(p>r))&r))>(r|(k>(p>r)))) | 1 | 0 | 1 | 0 | entailment |
((k>k)>~((p>(k>(p&(r&p)))))) | (~(((k|(p>r))&r))>(r|(k>(p>r)))) | 0 | 0 | 1 | 0 | not entailment |
((~(k)>(k&p))>(r&(r>(p|r)))) | (~((r&p))|k) | 0 | 1 | 1 | 0 | not entailment |
((k|r)&(((r>r)|(k|k))&(k&r))) | ((k|r)&((p|p)>k)) | 1 | 1 | 0 | 0 | entailment |
~(((k&p)&p)) | ((p&k)>~((r&r))) | 1 | 0 | 0 | 0 | entailment |
((k|r)&(((r>r)|(k|k))&(k&r))) | ((p&k)>~((r&r))) | 0 | 1 | 0 | 0 | not entailment |
~(((k&p)&p)) | ((k|r)&((p|p)>k)) | 0 | 0 | 0 | 0 | not entailment |
(k&k) | (k&k) | 1 | 1 | 1 | 1 | entailment |
((k>k)>p) | (((r|k)|p)&p) | 1 | 0 | 0 | 0 | entailment |
(k&k) | (((r|k)|p)&p) | 0 | 0 | 0 | 0 | not entailment |
((k>k)>p) | (k&k) | 0 | 1 | 1 | 1 | not entailment |
~((((p|k)|(p>p))&(p>k))) | (((k&r)>k)>~(~(p))) | 1 | 1 | 0 | 0 | entailment |
((r>((r&p)&k))&k) | (~((~(p)|(k&~(~(p)))))>k) | 1 | 0 | 1 | 0 | entailment |
~((((p|k)|(p>p))&(p>k))) | (~((~(p)|(k&~(~(p)))))>k) | 0 | 0 | 1 | 0 | not entailment |
((r>((r&p)&k))&k) | (((k&r)>k)>~(~(p))) | 0 | 0 | 1 | 0 | not entailment |
(~(r)&~(((p>k)>((p&p)>(p&r))))) | (~((r&r))&(p|r)) | 1 | 1 | 1 | 0 | entailment |
(~(((k>(k|k))|(~(k)|r)))|r) | (r|r) | 1 | 1 | 1 | 1 | entailment |
(~(r)&~(((p>k)>((p&p)>(p&r))))) | (r|r) | 0 | 1 | 1 | 0 | not entailment |
(~(((k>(k|k))|(~(k)|r)))|r) | (~((r&r))&(p|r)) | 0 | 1 | 0 | 0 | not entailment |
~(((p>r)&((r&r)|(k&r)))) | (~(p)|((r&(k>(k&k)))>~(k))) | 1 | 0 | 1 | 0 | entailment |
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