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&(~(~((p&l)))&(m&m))) | ((p>l)>m) | 1 | 1 | 1 | 0 | entailment |
~(~((p>~((((m|m)>m)|(l>m)))))) | (~((((l|p)>l)>(p&l)))|~(m)) | 1 | 1 | 1 | 0 | entailment |
(l&(~(~((p&l)))&(m&m))) | (~((((l|p)>l)>(p&l)))|~(m)) | 0 | 0 | 1 | 0 | not entailment |
~(~((p>~((((m|m)>m)|(l>m)))))) | ((p>l)>m) | 0 | 1 | 1 | 0 | not entailment |
((m&l)&((m|l)|l)) | (((l&m)|~(((l>l)|~((p>(m|p))))))&m) | 1 | 0 | 0 | 0 | entailment |
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l))) | ((l&((p|l)&(l>p)))|p) | 1 | 1 | 1 | 1 | entailment |
((m&l)&((m|l)|l)) | ((l&((p|l)&(l>p)))|p) | 0 | 0 | 0 | 0 | not entailment |
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l))) | (((l&m)|~(((l>l)|~((p>(m|p))))))&m) | 0 | 1 | 1 | 1 | not entailment |
((~((m>l))|(l>p))|(m&m)) | (((l|l)|p)>((~(p)>~(m))>p)) | 1 | 0 | 1 | 0 | entailment |
(~(((m|m)>~((p|p))))|(l&l)) | ((((l&l)&l)|l)|~(~(p))) | 1 | 1 | 1 | 1 | entailment |
((~((m>l))|(l>p))|(m&m)) | ((((l&l)&l)|l)|~(~(p))) | 0 | 1 | 1 | 0 | not entailment |
(~(((m|m)>~((p|p))))|(l&l)) | (((l|l)|p)>((~(p)>~(m))>p)) | 0 | 1 | 1 | 0 | not entailment |
(~((((p>m)&((p&p)|l))|(l&m)))&m) | (~((l&(m|m)))|p) | 1 | 1 | 1 | 1 | entailment |
(l|((l>l)>l)) | ~(~(((l&(m&p))|l))) | 1 | 0 | 0 | 0 | entailment |
(~((((p>m)&((p&p)|l))|(l&m)))&m) | ~(~(((l&(m&p))|l))) | 0 | 1 | 1 | 0 | not entailment |
(l|((l>l)>l)) | (~((l&(m|m)))|p) | 0 | 0 | 0 | 0 | not entailment |
(~(m)>~(l)) | ((l>m)|~(l)) | 1 | 1 | 1 | 1 | entailment |
(~(p)&l) | (p>((~(~(m))|(l|p))&(p>(p>~(l))))) | 1 | 0 | 0 | 0 | entailment |
(~(m)>~(l)) | (p>((~(~(m))|(l|p))&(p>(p>~(l))))) | 0 | 0 | 0 | 0 | not entailment |
(~(p)&l) | ((l>m)|~(l)) | 0 | 0 | 0 | 0 | not entailment |
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p) | (~(l)>(l|(~(m)|(p|l)))) | 1 | 1 | 1 | 1 | entailment |
~(((p|p)|(p|l))) | (~(p)|(l>m)) | 1 | 1 | 0 | 0 | entailment |
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p) | (~(p)|(l>m)) | 0 | 1 | 1 | 0 | not entailment |
~(((p|p)|(p|l))) | (~(l)>(l|(~(m)|(p|l)))) | 0 | 0 | 0 | 0 | not entailment |
(((k&(f|b))>(((b>f)>f)>j))>(h&k)) | (k>~(~(((j>h)|~(~(h)))))) | 1 | 1 | 1 | 0 | entailment |
(((h&h)&~(h))|f) | (((h&~((h|b)))>h)&f) | 1 | 0 | 0 | 0 | entailment |
(((k&(f|b))>(((b>f)>f)>j))>(h&k)) | (((h&~((h|b)))>h)&f) | 0 | 1 | 1 | 0 | not entailment |
(((h&h)&~(h))|f) | (k>~(~(((j>h)|~(~(h)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&k) | ((((k>k)&(f|k))|(n&n))|~((j&j))) | 1 | 0 | 0 | 0 | entailment |
~((k|h)) | (((~(k)&(f&k))|(~((n>h))|h))|~(k)) | 1 | 0 | 0 | 0 | entailment |
(~(h)&k) | (((~(k)&(f&k))|(~((n>h))|h))|~(k)) | 0 | 0 | 0 | 0 | not entailment |
~((k|h)) | ((((k>k)&(f|k))|(n&n))|~((j&j))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((f|(n|f))&k))&(~((f|f))|h))) | ((k&(k|f))|f) | 1 | 1 | 1 | 1 | entailment |
(((h|n)>b)&(~(h)>b)) | ((n>(~(n)&n))|b) | 1 | 1 | 1 | 0 | entailment |
~((~(((f|(n|f))&k))&(~((f|f))|h))) | ((n>(~(n)&n))|b) | 0 | 1 | 0 | 0 | not entailment |
(((h|n)>b)&(~(h)>b)) | ((k&(k|f))|f) | 0 | 1 | 0 | 0 | not entailment |
(k&j) | (~((b>(~((b&n))>(n|f))))|k) | 1 | 0 | 0 | 0 | entailment |
~((~(h)&(~((f&f))|(b&b)))) | (~(((h>h)&f))>h) | 1 | 1 | 1 | 0 | entailment |
(k&j) | (~(((h>h)&f))>h) | 0 | 0 | 0 | 0 | not entailment |
~((~(h)&(~((f&f))|(b&b)))) | (~((b>(~((b&n))>(n|f))))|k) | 0 | 1 | 0 | 0 | not entailment |
((k&h)&(h&~(~(j)))) | (b>(k&k)) | 1 | 1 | 0 | 0 | entailment |
(~((h>j))&h) | ~(((j&h)&(~(j)>h))) | 1 | 0 | 1 | 0 | entailment |
((k&h)&(h&~(~(j)))) | ~(((j&h)&(~(j)>h))) | 0 | 1 | 1 | 0 | not entailment |
(~((h>j))&h) | (b>(k&k)) | 0 | 1 | 0 | 0 | not entailment |
(j&h) | (j&(b>(f>j))) | 1 | 0 | 0 | 0 | entailment |
((n&(b&~(j)))&(h|h)) | (h>(j>n)) | 1 | 1 | 1 | 0 | entailment |
(j&h) | (h>(j>n)) | 0 | 0 | 0 | 0 | not entailment |
((n&(b&~(j)))&(h|h)) | (j&(b>(f>j))) | 0 | 1 | 0 | 0 | not entailment |
(f&(b>b)) | ((((h&f)|f)|h)|~(~(n))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((k|k)))&(~(h)>j))) | (~((k&(n>f)))|~(((((b|k)&h)&n)&b))) | 1 | 0 | 0 | 0 | entailment |
(f&(b>b)) | (~((k&(n>f)))|~(((((b|k)&h)&n)&b))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((k|k)))&(~(h)>j))) | ((((h&f)|f)|h)|~(~(n))) | 0 | 1 | 0 | 0 | not entailment |
~(~((((f>k)>b)&(b>k)))) | (k|f) | 1 | 1 | 1 | 1 | entailment |
~((j>~((~(j)|((b|(n>b))&b))))) | (b|(f>n)) | 1 | 1 | 0 | 0 | entailment |
~(~((((f>k)>b)&(b>k)))) | (b|(f>n)) | 0 | 1 | 0 | 0 | not entailment |
~((j>~((~(j)|((b|(n>b))&b))))) | (k|f) | 0 | 1 | 0 | 0 | not entailment |
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n)) | (((~(j)|(k&b))|(~(b)|b))&(~(n)|f)) | 1 | 1 | 1 | 0 | entailment |
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h))) | ((b>h)>(b|((h&n)|k))) | 1 | 1 | 0 | 0 | entailment |
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n)) | ((b>h)>(b|((h&n)|k))) | 0 | 1 | 1 | 0 | not entailment |
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h))) | (((~(j)|(k&b))|(~(b)|b))&(~(n)|f)) | 0 | 1 | 0 | 0 | not entailment |
(k|((b|j)&k)) | ((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f)) | 1 | 0 | 0 | 0 | entailment |
(k|((b|j)&k)) | (f>n) | 0 | 1 | 0 | 0 | not entailment |
~(f) | ((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f)) | 0 | 0 | 0 | 0 | not entailment |
((h>((b>n)&((h|b)|b)))>(b&(j>n))) | ((n>~(~(~((h|f)))))>b) | 1 | 1 | 0 | 0 | entailment |
((k|(h&j))&h) | ((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h) | 1 | 0 | 0 | 0 | entailment |
((h>((b>n)&((h|b)|b)))>(b&(j>n))) | ((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h) | 0 | 0 | 0 | 0 | not entailment |
((k|(h&j))&h) | ((n>~(~(~((h|f)))))>b) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((h>(f&b))>b)))&(n&n)) | ((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f))) | 1 | 0 | 0 | 0 | entailment |
(k&~(~((~(f)>j)))) | (~((b|(b&(b>f))))>k) | 1 | 1 | 0 | 0 | entailment |
(~(~(((h>(f&b))>b)))&(n&n)) | (~((b|(b&(b>f))))>k) | 0 | 1 | 0 | 0 | not entailment |
(k&~(~((~(f)>j)))) | ((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&b) | (b|((n>h)>~((b|~(f))))) | 1 | 0 | 0 | 0 | entailment |
(n&(~((k|~(h)))|~(n))) | (~(((k|k)|(~(f)|j)))>n) | 1 | 1 | 0 | 0 | entailment |
(~(h)&b) | (~(((k|k)|(~(f)|j)))>n) | 0 | 0 | 0 | 0 | not entailment |
(n&(~((k|~(h)))|~(n))) | (b|((n>h)>~((b|~(f))))) | 0 | 1 | 0 | 0 | not entailment |
(j&f) | (~(((f&j)&f))>(h>b)) | 1 | 0 | 0 | 0 | entailment |
(~((~((b|h))|(n&h)))&~(~((n|k)))) | ((j>h)|b) | 1 | 1 | 0 | 0 | entailment |
(j&f) | ((j>h)|b) | 0 | 0 | 0 | 0 | not entailment |
(~((~((b|h))|(n&h)))&~(~((n|k)))) | (~(((f&j)&f))>(h>b)) | 0 | 1 | 0 | 0 | not entailment |
(f&(h&j)) | (~(~(k))|(~((k&(f>b)))&j)) | 1 | 0 | 0 | 0 | entailment |
~((b>(k|j))) | (((b>j)>(b&j))|(k&(j|n))) | 1 | 0 | 0 | 0 | entailment |
(f&(h&j)) | (((b>j)>(b&j))|(k&(j|n))) | 0 | 0 | 0 | 0 | not entailment |
~((b>(k|j))) | (~(~(k))|(~((k&(f>b)))&j)) | 0 | 0 | 0 | 0 | not entailment |
~((((b>b)>k)&k)) | (k>(j|(h>j))) | 1 | 1 | 0 | 0 | entailment |
~(~((~((f&(h>f)))&h))) | (~(~(((b>k)>~(((b|b)|(b>n))))))|h) | 1 | 0 | 0 | 0 | entailment |
~((((b>b)>k)&k)) | (~(~(((b>k)>~(((b|b)|(b>n))))))|h) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((f&(h>f)))&h))) | (k>(j|(h>j))) | 0 | 1 | 0 | 0 | not entailment |
~((f|k)) | ~((k&(~(h)|(j|(n|(b&h)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((b&f)|j))) | ((j>j)&(j|b)) | 1 | 1 | 1 | 0 | entailment |
~((f|k)) | ((j>j)&(j|b)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((b&f)|j))) | ~((k&(~(h)|(j|(n|(b&h)))))) | 0 | 0 | 0 | 0 | not entailment |
(((f|(h|f))>n)>(h&j)) | ((((b&j)|n)&~(h))>((b>f)|~((k&n)))) | 1 | 0 | 0 | 0 | entailment |
~(h) | (((n>b)&(j&(k|n)))|(h>~((b|b)))) | 1 | 0 | 0 | 0 | entailment |
(((f|(h|f))>n)>(h&j)) | (((n>b)&(j&(k|n)))|(h>~((b|b)))) | 0 | 0 | 0 | 0 | not entailment |
~(h) | ((((b&j)|n)&~(h))>((b>f)|~((k&n)))) | 0 | 0 | 0 | 0 | not entailment |
(~(n)&(~((f&n))|~((~(b)|(n>f))))) | (~((h|n))|~(((f&n)|n))) | 1 | 1 | 0 | 0 | entailment |
(n&k) | ((n|b)&((k|(k|k))|(j&b))) | 1 | 0 | 0 | 0 | entailment |
(~(n)&(~((f&n))|~((~(b)|(n>f))))) | ((n|b)&((k|(k|k))|(j&b))) | 0 | 1 | 0 | 0 | not entailment |
(n&k) | (~((h|n))|~(((f&n)|n))) | 0 | 0 | 0 | 0 | not entailment |
((n|b)>((~(((b|k)>b))>b)>~((j&n)))) | ((k&((j&b)&n))>f) | 1 | 1 | 0 | 0 | entailment |
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