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 |
|---|---|---|---|---|---|---|
~((p>v)) | (v|(((j&f)&q)>(((j&p)&p)&p))) | 1 | 0 | 0 | 0 | entailment |
(y&~(k)) | (~(y)>((z>(y&v))|q)) | 1 | 0 | 0 | 0 | entailment |
~((p>v)) | (~(y)>((z>(y&v))|q)) | 0 | 0 | 0 | 0 | not entailment |
(y&~(k)) | (v|(((j&f)&q)>(((j&p)&p)&p))) | 0 | 0 | 0 | 0 | not entailment |
((k|k)&j) | (((p&k)&~(j))>(k>v)) | 1 | 0 | 0 | 0 | entailment |
~(((~(~(k))&z)>j)) | (((p&q)>z)|v) | 1 | 1 | 0 | 0 | entailment |
((k|k)&j) | (((p&q)>z)|v) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~(k))&z)>j)) | (((p&k)&~(j))>(k>v)) | 0 | 1 | 0 | 0 | not entailment |
((v&v)&q) | ((((z|~(k))>~(j))|(v|z))|~(~(~(p)))) | 1 | 0 | 0 | 0 | entailment |
((y&f)&(~(~(~(~(p))))&(y>q))) | (~((~(p)|(j&p)))>(~((y>j))|j)) | 1 | 1 | 0 | 0 | entailment |
((v&v)&q) | (~((~(p)|(j&p)))>(~((y>j))|j)) | 0 | 0 | 0 | 0 | not entailment |
((y&f)&(~(~(~(~(p))))&(y>q))) | ((((z|~(k))>~(j))|(v|z))|~(~(~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(v&y) | (((~((k&z))>p)>z)|v) | 1 | 0 | 0 | 0 | entailment |
~(~((~((j>q))&(~((~(f)&k))|(j>f))))) | (((j|(~(f)>f))>((z&k)>(y&q)))|f) | 1 | 1 | 0 | 0 | entailment |
(v&y) | (((j|(~(f)>f))>((z&k)>(y&q)))|f) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((j>q))&(~((~(f)&k))|(j>f))))) | (((~((k&z))>p)>z)|v) | 0 | 1 | 0 | 0 | not entailment |
(~((p&v))&~((((j>y)>q)|p))) | (((p&(k>y))>(k&(j&(q|v))))|(f|q)) | 1 | 0 | 0 | 0 | entailment |
(j&((f|(~((y&(k>f)))&j))|(j|(q>(z&k))))) | (((~(j)&p)|~(j))>(p|z)) | 1 | 1 | 0 | 0 | entailment |
(~((p&v))&~((((j>y)>q)|p))) | (((~(j)&p)|~(j))>(p|z)) | 0 | 1 | 0 | 0 | not entailment |
(j&((f|(~((y&(k>f)))&j))|(j|(q>(z&k))))) | (((p&(k>y))>(k&(j&(q|v))))|(f|q)) | 0 | 1 | 0 | 0 | not entailment |
((f&~(~((((y&(q>q))|q)>~(y)))))&(f&j)) | (((y|(v&f))|(p>q))>j) | 1 | 1 | 0 | 0 | entailment |
(~(z)&~((f|(y&~(q))))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
((f&~(~((((y&(q>q))|q)>~(y)))))&(f&j)) | ~(f) | 0 | 1 | 1 | 0 | not entailment |
(~(z)&~((f|(y&~(q))))) | (((y|(v&f))|(p>q))>j) | 0 | 1 | 0 | 0 | not entailment |
((((b|b)|b)>b)>((b>b)>b)) | (((b|b)|b)&((b|m)|m)) | 1 | 1 | 0 | 0 | entailment |
~(~(((m&m)&m))) | (m&(m|m)) | 1 | 1 | 1 | 1 | entailment |
((((b|b)|b)>b)>((b>b)>b)) | (m&(m|m)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((m&m)&m))) | (((b|b)|b)&((b|m)|m)) | 0 | 0 | 0 | 0 | not entailment |
((((m|~(b))>m)&(b|b))&(m>((m>~(b))>m))) | ((b&b)|b) | 1 | 1 | 1 | 1 | entailment |
~(~(((b|m)&m))) | (m|((m>b)&((((m&~((m>(b>b))))&b)|m)|m))) | 1 | 0 | 1 | 0 | entailment |
((((m|~(b))>m)&(b|b))&(m>((m>~(b))>m))) | (m|((m>b)&((((m&~((m>(b>b))))&b)|m)|m))) | 0 | 1 | 1 | 0 | not entailment |
~(~(((b|m)&m))) | ((b&b)|b) | 0 | 1 | 1 | 1 | not entailment |
(((b|m)&(m>(b|m)))|(~((~(b)|m))|m)) | (((b|m)|b)|((((m&m)|~(m))>(b&m))&(b|m))) | 1 | 0 | 1 | 1 | entailment |
~(b) | ((m&(m>m))|(b>m)) | 1 | 0 | 0 | 0 | entailment |
(((b|m)&(m>(b|m)))|(~((~(b)|m))|m)) | ((m&(m>m))|(b>m)) | 0 | 1 | 1 | 0 | not entailment |
~(b) | (((b|m)|b)|((((m&m)|~(m))>(b&m))&(b|m))) | 0 | 0 | 0 | 0 | not entailment |
(((~((m|b))>b)|(m&m))&~(m)) | (((b&b)>b)>~(~(b))) | 1 | 1 | 1 | 0 | entailment |
~(~((m&(b>((b>(b|b))>m))))) | (((b>m)&m)|((~(m)>b)&m)) | 1 | 1 | 1 | 1 | entailment |
(((~((m|b))>b)|(m&m))&~(m)) | (((b>m)&m)|((~(m)>b)&m)) | 0 | 1 | 1 | 0 | not entailment |
~(~((m&(b>((b>(b|b))>m))))) | (((b&b)>b)>~(~(b))) | 0 | 1 | 1 | 1 | not entailment |
(~(m)>~((m>m))) | ~(~(m)) | 1 | 1 | 1 | 1 | entailment |
~(~((b|(~(m)&m)))) | ((~(((m|b)|b))>m)&(b|b)) | 1 | 0 | 1 | 1 | entailment |
(~(m)>~((m>m))) | ((~(((m|b)|b))>m)&(b|b)) | 0 | 0 | 0 | 0 | not entailment |
~(~((b|(~(m)&m)))) | ~(~(m)) | 0 | 1 | 1 | 1 | not entailment |
((m&b)|b) | (b|m) | 1 | 1 | 1 | 1 | entailment |
~((~((m>(b>(((b>b)>m)&(m|m)))))|b)) | ~((((m&(b>~((b|m))))>m)&b)) | 1 | 1 | 1 | 1 | entailment |
((m&b)|b) | ~((((m&(b>~((b|m))))>m)&b)) | 0 | 0 | 1 | 0 | not entailment |
~((~((m>(b>(((b>b)>m)&(m|m)))))|b)) | (b|m) | 0 | 1 | 1 | 1 | not entailment |
(m&(b|b)) | (b&b) | 1 | 1 | 1 | 1 | entailment |
~((m|b)) | ~((b|~(~(m)))) | 1 | 0 | 1 | 1 | entailment |
(m&(b|b)) | ~((b|~(~(m)))) | 0 | 0 | 1 | 0 | not entailment |
~((m|b)) | (b&b) | 0 | 1 | 1 | 0 | not entailment |
~(~((b&~(m)))) | (~((m>(m&b)))>((m&b)&m)) | 1 | 0 | 1 | 0 | entailment |
(m&~(b)) | ((~((b>b))>~(m))>(((b&b)&(m&b))|m)) | 1 | 0 | 1 | 0 | entailment |
~(~((b&~(m)))) | ((~((b>b))>~(m))>(((b&b)&(m&b))|m)) | 0 | 0 | 1 | 0 | not entailment |
(m&~(b)) | (~((m>(m&b)))>((m&b)&m)) | 0 | 0 | 1 | 0 | not entailment |
((m>b)&(((m&b)>(m>b))&(b>(b>m)))) | (~(b)>~((m&m))) | 1 | 1 | 1 | 1 | entailment |
(m&(m|~(b))) | (((b&m)&(m|m))|m) | 1 | 0 | 1 | 0 | entailment |
((m>b)&(((m&b)>(m>b))&(b>(b>m)))) | (((b&m)&(m|m))|m) | 0 | 1 | 1 | 1 | not entailment |
(m&(m|~(b))) | (~(b)>~((m&m))) | 0 | 0 | 1 | 0 | not entailment |
(((b>~(b))|b)>b) | (((b>(m&m))>(m>b))>((b>b)&(b|b))) | 1 | 0 | 0 | 0 | entailment |
~((((m|m)&b)|((b|((m&b)|m))|(m|m)))) | (~(~(((m&m)|m)))|(b>m)) | 1 | 1 | 1 | 0 | entailment |
(((b>~(b))|b)>b) | (~(~(((m&m)|m)))|(b>m)) | 0 | 0 | 0 | 0 | not entailment |
~((((m|m)&b)|((b|((m&b)|m))|(m|m)))) | (((b>(m&m))>(m>b))>((b>b)&(b|b))) | 0 | 1 | 1 | 0 | not entailment |
(b&m) | ((m>((m>~((b>b)))|m))>m) | 1 | 0 | 1 | 0 | entailment |
(b>(((b&b)>m)&~(b))) | (m>~(((((b|b)|(b|b))|b)&b))) | 1 | 0 | 1 | 0 | entailment |
(b&m) | (m>~(((((b|b)|(b|b))|b)&b))) | 0 | 0 | 1 | 0 | not entailment |
(b>(((b&b)>m)&~(b))) | ((m>((m>~((b>b)))|m))>m) | 0 | 0 | 1 | 0 | not entailment |
((m>~(((~(m)>m)&b)))>b) | ((~((~(m)&m))|m)>b) | 1 | 1 | 1 | 0 | entailment |
~(((m>b)&(m>~((~(m)&b))))) | (((m&m)|(((m&(m>m))>m)|m))>(m&m)) | 1 | 0 | 1 | 1 | entailment |
((m>~(((~(m)>m)&b)))>b) | (((m&m)|(((m&(m>m))>m)|m))>(m&m)) | 0 | 0 | 1 | 0 | not entailment |
~(((m>b)&(m>~((~(m)&b))))) | ((~((~(m)&m))|m)>b) | 0 | 1 | 1 | 1 | not entailment |
(((((b|m)>m)|~((b>m)))|(b>b))&(b&b)) | (~(b)>(b|b)) | 1 | 1 | 1 | 1 | entailment |
(m|(m&b)) | ((m|(b|m))>m) | 1 | 0 | 1 | 0 | entailment |
(((((b|m)>m)|~((b>m)))|(b>b))&(b&b)) | ((m|(b|m))>m) | 0 | 1 | 1 | 1 | not entailment |
(m|(m&b)) | (~(b)>(b|b)) | 0 | 0 | 1 | 1 | not entailment |
~(~((~(~(~((b&m))))>(m&b)))) | ~(~(((b&b)|m))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(m))) | (m>(~((b|(b>m)))&(m>m))) | 1 | 0 | 0 | 0 | entailment |
~(~((~(~(~((b&m))))>(m&b)))) | (m>(~((b|(b>m)))&(m>m))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(m))) | ~(~(((b&b)|m))) | 0 | 0 | 0 | 0 | not entailment |
((l&e)|k) | ((~(((m&~(f))|f))>(k|f))|(f|e)) | 1 | 0 | 0 | 0 | entailment |
~(f) | (m>(f>(((m|l)>((f&(k>l))|(f>f)))>e))) | 1 | 0 | 0 | 0 | entailment |
((l&e)|k) | (m>(f>(((m|l)>((f&(k>l))|(f>f)))>e))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | ((~(((m&~(f))|f))>(k|f))|(f|e)) | 0 | 0 | 0 | 0 | not entailment |
~(((k&e)|(f>~((e|(~((m|~(k)))&m)))))) | (((m|m)|m)>f) | 1 | 1 | 1 | 1 | entailment |
(l&k) | (k|l) | 1 | 1 | 1 | 1 | entailment |
~(((k&e)|(f>~((e|(~((m|~(k)))&m)))))) | (k|l) | 0 | 1 | 0 | 0 | not entailment |
(l&k) | (((m|m)|m)>f) | 0 | 0 | 0 | 0 | not entailment |
(e|(m&((m&m)&(f&f)))) | (~((((m>~(m))>l)&~(k)))>(e|f)) | 1 | 0 | 0 | 0 | entailment |
(~((~(~((e>(m&m))))>l))&(f>(l>~(m)))) | (~(((k|l)&l))|(f|(l&(f&l)))) | 1 | 1 | 0 | 0 | entailment |
(e|(m&((m&m)&(f&f)))) | (~(((k|l)&l))|(f|(l&(f&l)))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~((e>(m&m))))>l))&(f>(l>~(m)))) | (~((((m>~(m))>l)&~(k)))>(e|f)) | 0 | 1 | 0 | 0 | not entailment |
(l&(f&l)) | ((((e|(f&l))>(m&k))|(f>l))|m) | 1 | 0 | 0 | 0 | entailment |
((e>((m&(e|(l&e)))|(k&(m>l))))>e) | ((((m&~(e))&(e|k))&m)>(l&(m>e))) | 1 | 1 | 1 | 0 | entailment |
(l&(f&l)) | ((((m&~(e))&(e|k))&m)>(l&(m>e))) | 0 | 0 | 0 | 0 | not entailment |
((e>((m&(e|(l&e)))|(k&(m>l))))>e) | ((((e|(f&l))>(m&k))|(f>l))|m) | 0 | 1 | 0 | 0 | not entailment |
~((~(l)|((f>k)>f))) | (k|~((l>~((l>~(f)))))) | 1 | 0 | 1 | 0 | entailment |
((m&e)&~((l&m))) | ((e&m)&(~(~((e|(m|k))))&m)) | 1 | 0 | 0 | 0 | entailment |
~((~(l)|((f>k)>f))) | ((e&m)&(~(~((e|(m|k))))&m)) | 0 | 0 | 0 | 0 | not entailment |
((m&e)&~((l&m))) | (k|~((l>~((l>~(f)))))) | 0 | 0 | 0 | 0 | not entailment |
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