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>~((i|l)))&(~(~((l>l)))|l)) | ((l|i)>(~(i)>i)) | 1 | 1 | 1 | 0 | entailment |
(l|~(~((l&l)))) | ((i>i)&((i>(i&(i>(l&l))))|~(~(~(i))))) | 1 | 0 | 0 | 0 | entailment |
((l>~((i|l)))&(~(~((l>l)))|l)) | ((i>i)&((i>(i&(i>(l&l))))|~(~(~(i))))) | 0 | 0 | 1 | 0 | not entailment |
(l|~(~((l&l)))) | ((l|i)>(~(i)>i)) | 0 | 1 | 0 | 0 | not entailment |
(i&i) | (((l&(l&l))&(i>~(~(i))))>(i|i)) | 1 | 0 | 0 | 0 | entailment |
(l&l) | (l&(((i>l)|l)>~(~((i>(i&(i&l))))))) | 1 | 0 | 0 | 0 | entailment |
(i&i) | (l&(((i>l)|l)>~(~((i>(i&(i&l))))))) | 0 | 0 | 0 | 0 | not entailment |
(l&l) | (((l&(l&l))&(i>~(~(i))))>(i|i)) | 0 | 0 | 0 | 0 | not entailment |
(((l&i)|l)&(l|l)) | (~(l)>((i&i)|l)) | 1 | 1 | 1 | 1 | entailment |
(~(l)|~(~(~(l)))) | (i|(((l>~(i))&~(~((i|(l>i)))))|i)) | 1 | 0 | 0 | 0 | entailment |
(((l&i)|l)&(l|l)) | (i|(((l>~(i))&~(~((i|(l>i)))))|i)) | 0 | 0 | 1 | 0 | not entailment |
(~(l)|~(~(~(l)))) | (~(l)>((i&i)|l)) | 0 | 1 | 0 | 0 | not entailment |
(((((l|i)>l)|l)>l)&i) | (~((l>~((((l&i)&i)>i))))|i) | 1 | 0 | 1 | 0 | entailment |
~(i) | ~((l&i)) | 1 | 0 | 0 | 0 | entailment |
(((((l|i)>l)|l)>l)&i) | ~((l&i)) | 0 | 1 | 1 | 0 | not entailment |
~(i) | (~((l>~((((l&i)&i)>i))))|i) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((l|l))))&(i&i)) | (l|i) | 1 | 1 | 1 | 0 | entailment |
~(((l&(l>(i|l)))|((l>l)>(i&((l|i)|l))))) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(~(~(~((l|l))))&(i&i)) | ~(i) | 0 | 1 | 1 | 0 | not entailment |
~(((l&(l>(i|l)))|((l>l)>(i&((l|i)|l))))) | (l|i) | 0 | 1 | 1 | 0 | not entailment |
(((i&l)&i)&(~(~((l|i)))&(l&i))) | (~(~(i))&~(~((i>i)))) | 1 | 1 | 1 | 0 | entailment |
~(((~((l&(i>l)))>(l|i))|(~(i)&l))) | ~((~(~((l&i)))&l)) | 1 | 1 | 1 | 1 | entailment |
(((i&l)&i)&(~(~((l|i)))&(l&i))) | ~((~(~((l&i)))&l)) | 0 | 1 | 1 | 0 | not entailment |
~(((~((l&(i>l)))>(l|i))|(~(i)&l))) | (~(~(i))&~(~((i>i)))) | 0 | 1 | 1 | 1 | not entailment |
(i|l) | (~((i|(l&l)))>l) | 1 | 0 | 1 | 1 | entailment |
~((i|l)) | ~((((i&(i>i))|((l>i)&(l|i)))&i)) | 1 | 0 | 1 | 0 | entailment |
(i|l) | ~((((i&(i>i))|((l>i)&(l|i)))&i)) | 0 | 0 | 1 | 0 | not entailment |
~((i|l)) | (~((i|(l&l)))>l) | 0 | 0 | 1 | 0 | not entailment |
(i&(i>i)) | ((~(~(l))>l)&i) | 1 | 0 | 0 | 0 | entailment |
~((((i>(l&~((i|i))))>l)>i)) | ~((i&(l|((i>i)>(i&i))))) | 1 | 1 | 1 | 1 | entailment |
(i&(i>i)) | ~((i&(l|((i>i)>(i&i))))) | 0 | 0 | 0 | 0 | not entailment |
~((((i>(l&~((i|i))))>l)>i)) | ((~(~(l))>l)&i) | 0 | 1 | 1 | 1 | not entailment |
((l|i)&i) | (((l&i)&(i|(((i>i)>l)|l)))|(i&(i|i))) | 1 | 0 | 1 | 0 | entailment |
~(l) | (l>~(i)) | 1 | 0 | 0 | 0 | entailment |
((l|i)&i) | (l>~(i)) | 0 | 1 | 1 | 0 | not entailment |
~(l) | (((l&i)&(i|(((i>i)>l)|l)))|(i&(i|i))) | 0 | 0 | 0 | 0 | not entailment |
(((e>(p>p))|~(~(c)))>(e&c)) | ((p|p)|e) | 1 | 1 | 1 | 1 | entailment |
~(~((p|~(((c|c)|(e|((e>p)>e))))))) | ((~(~(~(p)))&(p|(c&(c|(e>~(e))))))>p) | 1 | 0 | 1 | 0 | entailment |
(((e>(p>p))|~(~(c)))>(e&c)) | ((~(~(~(p)))&(p|(c&(c|(e>~(e))))))>p) | 0 | 0 | 1 | 1 | not entailment |
~(~((p|~(((c|c)|(e|((e>p)>e))))))) | ((p|p)|e) | 0 | 1 | 1 | 0 | not entailment |
((c|p)|c) | ((p&(e&(e>e)))|(((c|p)|c)|(p|c))) | 1 | 0 | 0 | 0 | entailment |
(((~(p)|(p>c))>~(c))>(e>(e>c))) | (~((~(~(p))&p))|(e>c)) | 1 | 1 | 1 | 1 | entailment |
((c|p)|c) | (~((~(~(p))&p))|(e>c)) | 0 | 0 | 0 | 0 | not entailment |
(((~(p)|(p>c))>~(c))>(e>(e>c))) | ((p&(e&(e>e)))|(((c|p)|c)|(p|c))) | 0 | 1 | 1 | 0 | not entailment |
(((e&((e>c)&e))|(c&e))|(c&c)) | ~((~((c&c))&(p|c))) | 1 | 1 | 0 | 0 | entailment |
~((e>~(((p>e)&p)))) | ((c|(p>p))&(c>p)) | 1 | 1 | 0 | 0 | entailment |
(((e&((e>c)&e))|(c&e))|(c&c)) | ((c|(p>p))&(c>p)) | 0 | 1 | 0 | 0 | not entailment |
~((e>~(((p>e)&p)))) | ~((~((c&c))&(p|c))) | 0 | 1 | 0 | 0 | not entailment |
(c&((e|p)&c)) | ((~((p|c))|(e>c))&(e|(p&p))) | 1 | 0 | 1 | 0 | entailment |
((p|p)&(p&~(c))) | (~(~(e))>(c>p)) | 1 | 1 | 0 | 0 | entailment |
(c&((e|p)&c)) | (~(~(e))>(c>p)) | 0 | 0 | 1 | 0 | not entailment |
((p|p)&(p&~(c))) | ((~((p|c))|(e>c))&(e|(p&p))) | 0 | 0 | 0 | 0 | not entailment |
((c|c)|((c&e)|((~(~(p))&p)|p))) | ((e>c)|(p|c)) | 1 | 1 | 1 | 0 | entailment |
(((e|p)&(c|p))>~((p|(e|((e>e)|p))))) | (((c>(e|e))>((p|e)|p))>(e|(c|e))) | 1 | 1 | 1 | 0 | entailment |
((c|c)|((c&e)|((~(~(p))&p)|p))) | (((c>(e|e))>((p|e)|p))>(e|(c|e))) | 0 | 1 | 1 | 0 | not entailment |
(((e|p)&(c|p))>~((p|(e|((e>e)|p))))) | ((e>c)|(p|c)) | 0 | 1 | 1 | 0 | not entailment |
(((p|((e>p)|p))>c)|~((e>c))) | ((~((e&(c>e)))>p)|(c|p)) | 1 | 1 | 1 | 0 | entailment |
((e&~(c))>~((c>e))) | (((c>p)|(~(c)&p))>(e>p)) | 1 | 0 | 0 | 0 | entailment |
(((p|((e>p)|p))>c)|~((e>c))) | (((c>p)|(~(c)&p))>(e>p)) | 0 | 1 | 1 | 0 | not entailment |
((e&~(c))>~((c>e))) | ((~((e&(c>e)))>p)|(c|p)) | 0 | 0 | 0 | 0 | not entailment |
((~(e)&(e>c))>(~((c|p))&(e|c))) | ((~(e)>(~(e)>c))|~((((e&p)>p)|~(c)))) | 1 | 0 | 1 | 0 | entailment |
(p&(p>p)) | ((p>~(e))>(p&~(e))) | 1 | 0 | 0 | 0 | entailment |
((~(e)&(e>c))>(~((c|p))&(e|c))) | ((p>~(e))>(p&~(e))) | 0 | 1 | 1 | 0 | not entailment |
(p&(p>p)) | ((~(e)>(~(e)>c))|~((((e&p)>p)|~(c)))) | 0 | 0 | 0 | 0 | not entailment |
(c&((((c|c)>e)&(e|c))|~(((~(p)&c)&e)))) | (p|(c|(((p|c)&e)&e))) | 1 | 1 | 1 | 1 | entailment |
~((e>c)) | ((e|c)&e) | 1 | 1 | 1 | 0 | entailment |
(c&((((c|c)>e)&(e|c))|~(((~(p)&c)&e)))) | ((e|c)&e) | 0 | 1 | 1 | 1 | not entailment |
~((e>c)) | (p|(c|(((p|c)&e)&e))) | 0 | 0 | 0 | 0 | not entailment |
(((e&(c|p))>(e&(c|p)))&p) | ((p|~(((e|p)>((~(p)|p)&(c>e)))))|e) | 1 | 0 | 1 | 1 | entailment |
(~(((e>e)&(e&(~(p)>e))))&c) | ((~((c|p))>(e|c))&c) | 1 | 1 | 1 | 0 | entailment |
(((e&(c|p))>(e&(c|p)))&p) | ((~((c|p))>(e|c))&c) | 0 | 1 | 1 | 1 | not entailment |
(~(((e>e)&(e&(~(p)>e))))&c) | ((p|~(((e|p)>((~(p)|p)&(c>e)))))|e) | 0 | 0 | 1 | 0 | not entailment |
((e&(c>~(p)))|~(~(((p>p)>(p|e))))) | ((~(c)|c)&(p|e)) | 1 | 1 | 1 | 0 | entailment |
~((c>((c|e)&e))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
((e&(c>~(p)))|~(~(((p>p)>(p|e))))) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
~((c>((c|e)&e))) | ((~(c)|c)&(p|e)) | 0 | 1 | 0 | 0 | not entailment |
((e&p)&c) | ~((((c|e)>(p|c))>~(c))) | 1 | 0 | 1 | 0 | entailment |
((((p|(c&p))>p)&~(((e|((p>p)>c))>c)))&p) | ~(((p&~(~(~(c))))>(e>c))) | 1 | 1 | 1 | 1 | entailment |
((e&p)&c) | ~(((p&~(~(~(c))))>(e>c))) | 0 | 0 | 1 | 0 | not entailment |
((((p|(c&p))>p)&~(((e|((p>p)>c))>c)))&p) | ~((((c|e)>(p|c))>~(c))) | 0 | 1 | 1 | 0 | not entailment |
~(~((~((c&e))&(e>e)))) | (((~((c>e))>p)>e)>(e>(c>(p&e)))) | 1 | 0 | 0 | 0 | entailment |
(c&c) | ~(~((p>c))) | 1 | 0 | 0 | 0 | entailment |
~(~((~((c&e))&(e>e)))) | ~(~((p>c))) | 0 | 1 | 0 | 0 | not entailment |
(c&c) | (((~((c>e))>p)>e)>(e>(c>(p&e)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e>c))>(((p>~(p))>(e|c))>(p>c)))) | (~(((e>e)&~(e)))|~(c)) | 1 | 1 | 1 | 0 | entailment |
~((~((e>p))|(c>(p|e)))) | (e>(e>(~(p)|(((p>(p|e))&(c>c))&~(e))))) | 1 | 0 | 1 | 0 | entailment |
~((~((e>c))>(((p>~(p))>(e|c))>(p>c)))) | (e>(e>(~(p)|(((p>(p|e))&(c>c))&~(e))))) | 0 | 1 | 1 | 0 | not entailment |
~((~((e>p))|(c>(p|e)))) | (~(((e>e)&~(e)))|~(c)) | 0 | 1 | 1 | 0 | not entailment |
~(~((((c>~(q))>~(m))&(m&(~(a)&m))))) | (((~(~((q&a)))&~(~(z)))&(v>z))>~(q)) | 1 | 1 | 0 | 0 | entailment |
~(t) | ~((v&t)) | 1 | 0 | 0 | 0 | entailment |
~(~((((c>~(q))>~(m))&(m&(~(a)&m))))) | ~((v&t)) | 0 | 1 | 0 | 0 | not entailment |
~(t) | (((~(~((q&a)))&~(~(z)))&(v>z))>~(q)) | 0 | 0 | 0 | 0 | not entailment |
((q|m)&((z&~(~(~(t))))|q)) | ((z>(t>q))|(((v|v)|c)|(m&(z>c)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((m|m)&~(s)))) | (~(m)>((a&z)|((a&t)|((v&z)|(z&~(m)))))) | 1 | 0 | 0 | 0 | entailment |
((q|m)&((z&~(~(~(t))))|q)) | (~(m)>((a&z)|((a&t)|((v&z)|(z&~(m)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((m|m)&~(s)))) | ((z>(t>q))|(((v|v)|c)|(m&(z>c)))) | 0 | 0 | 0 | 0 | not entailment |
(v&~(z)) | (~((t>((m&q)&(q&i))))>~(((q&s)&(q>z)))) | 1 | 0 | 0 | 0 | entailment |
~((((m>a)>a)>(i&((t>t)|(z&a))))) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(v&~(z)) | ~(i) | 0 | 1 | 0 | 0 | not entailment |
~((((m>a)>a)>(i&((t>t)|(z&a))))) | (~((t>((m&q)&(q&i))))>~(((q&s)&(q>z)))) | 0 | 0 | 0 | 0 | not entailment |
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