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 |
|---|---|---|---|---|---|---|
(~(x)&(j|x)) | (~(v)|(((h&v)>(v|v))&(((x|j)>p)&l))) | 0 | 0 | 0 | 0 | not entailment |
~((~(l)>v)) | (x>~(~(h))) | 0 | 1 | 0 | 0 | not entailment |
((v&(j&(l&p)))&v) | ((x>p)&(j&l)) | 1 | 1 | 0 | 0 | entailment |
((h>~(v))>h) | (~((j&(l&((h|(p&p))>x))))>h) | 1 | 0 | 0 | 0 | entailment |
((v&(j&(l&p)))&v) | (~((j&(l&((h|(p&p))>x))))>h) | 0 | 0 | 0 | 0 | not entailment |
((h>~(v))>h) | ((x>p)&(j&l)) | 0 | 1 | 0 | 0 | not entailment |
((((~(j)|h)>(p>j))&(j|h))&(l&h)) | (((v|x)|(l&h))|(h>(p|x))) | 1 | 1 | 0 | 0 | entailment |
(((h>h)&j)&~(l)) | (((v|(x|x))&(x>(p&l)))|j) | 1 | 0 | 0 | 0 | entailment |
((((~(j)|h)>(p>j))&(j|h))&(l&h)) | (((v|(x|x))&(x>(p&l)))|j) | 0 | 1 | 0 | 0 | not entailment |
(((h>h)&j)&~(l)) | (((v|x)|(l&h))|(h>(p|x))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((v&l)&(l>x)))) | ~(~((~(h)|l))) | 1 | 1 | 0 | 0 | entailment |
~(((~((v|x))|(j>x))|(j>(p&(v|p))))) | ~(p) | 1 | 1 | 1 | 1 | entailment |
~(~(((v&l)&(l>x)))) | ~(p) | 0 | 1 | 0 | 0 | not entailment |
~(((~((v|x))|(j>x))|(j>(p&(v|p))))) | ~(~((~(h)|l))) | 0 | 1 | 0 | 0 | not entailment |
(h&v) | (l>((~(j)>h)|((v>h)>x))) | 1 | 0 | 0 | 0 | entailment |
~((h|x)) | ~(((h|x)|h)) | 1 | 0 | 1 | 1 | entailment |
(h&v) | ~(((h|x)|h)) | 0 | 0 | 0 | 0 | not entailment |
~((h|x)) | (l>((~(j)>h)|((v>h)>x))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(v)&v)&((p&j)|(p|p))))&(v&(h>h))) | (~((j|~((~(j)&(((j>p)|p)&h)))))>v) | 1 | 1 | 1 | 0 | entailment |
(~(v)&x) | (((p&p)|x)|((p|v)>p)) | 1 | 0 | 0 | 0 | entailment |
(~(((~(v)&v)&((p&j)|(p|p))))&(v&(h>h))) | (((p&p)|x)|((p|v)>p)) | 0 | 1 | 0 | 0 | not entailment |
(~(v)&x) | (~((j|~((~(j)&(((j>p)|p)&h)))))>v) | 0 | 0 | 0 | 0 | not entailment |
(((p>(h|v))>p)&(v&(x&j))) | (v&j) | 1 | 1 | 1 | 1 | entailment |
~(((p|~(~(h)))|(l&((p>j)&(l&l))))) | ((((j&j)&v)&v)>~((h|(v&p)))) | 1 | 1 | 0 | 0 | entailment |
(((p>(h|v))>p)&(v&(x&j))) | ((((j&j)&v)&v)>~((h|(v&p)))) | 0 | 0 | 1 | 0 | not entailment |
~(((p|~(~(h)))|(l&((p>j)&(l&l))))) | (v&j) | 0 | 1 | 0 | 0 | not entailment |
((v&p)&(v&(v>p))) | (((h|~(x))>p)|~(((((j&x)>(x|h))&v)&h))) | 1 | 0 | 0 | 0 | entailment |
~((x>(~((v|j))|(j|~(~((~(x)&v))))))) | (~((x|((j>v)|p)))|~((j&(((h>j)>x)>p)))) | 1 | 1 | 0 | 0 | entailment |
((v&p)&(v&(v>p))) | (~((x|((j>v)|p)))|~((j&(((h>j)>x)>p)))) | 0 | 0 | 0 | 0 | not entailment |
~((x>(~((v|j))|(j|~(~((~(x)&v))))))) | (((h|~(x))>p)|~(((((j&x)>(x|h))&v)&h))) | 0 | 1 | 0 | 0 | not entailment |
(((j>j)&~((p>(~(l)|~((h&j))))))&(v>h)) | ((l|j)>((p&((j|v)&~(p)))|p)) | 1 | 1 | 1 | 0 | entailment |
~(~(x)) | (p>((v&(v|x))>x)) | 1 | 0 | 0 | 0 | entailment |
(((j>j)&~((p>(~(l)|~((h&j))))))&(v>h)) | (p>((v&(v|x))>x)) | 0 | 1 | 0 | 0 | not entailment |
~(~(x)) | ((l|j)>((p&((j|v)&~(p)))|p)) | 0 | 0 | 0 | 0 | not entailment |
(p&~(((l|v)>~((v>x))))) | (((h>(~((p|x))&~(h)))&j)>p) | 1 | 0 | 0 | 0 | entailment |
~(~(((~((j&x))>x)>~(~((l&v)))))) | ~(~(~(~(((x>l)>~(~(((p&x)>v)))))))) | 1 | 0 | 0 | 0 | entailment |
(p&~(((l|v)>~((v>x))))) | ~(~(~(~(((x>l)>~(~(((p&x)>v)))))))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((~((j&x))>x)>~(~((l&v)))))) | (((h>(~((p|x))&~(h)))&j)>p) | 0 | 1 | 0 | 0 | not entailment |
(m|((m>(q|h))>(~((~(y)>(m&q)))&h))) | (~(m)>((((l&q)|(h>m))>(h|m))|(m|q))) | 1 | 1 | 0 | 0 | entailment |
(~(~((~(h)>y)))&(l|~((y&((h>q)|h))))) | (~((l|(y&(((q>l)>h)&(q&q)))))>h) | 1 | 1 | 1 | 0 | entailment |
(m|((m>(q|h))>(~((~(y)>(m&q)))&h))) | (~((l|(y&(((q>l)>h)&(q&q)))))>h) | 0 | 1 | 0 | 0 | not entailment |
(~(~((~(h)>y)))&(l|~((y&((h>q)|h))))) | (~(m)>((((l&q)|(h>m))>(h|m))|(m|q))) | 0 | 1 | 0 | 0 | not entailment |
~((m>(l>y))) | (q>l) | 1 | 1 | 0 | 0 | entailment |
(((y&~((l&~(m))))&h)&m) | (((m&q)>~(~(y)))|((h|q)&(((m|m)|m)&h))) | 1 | 0 | 0 | 0 | entailment |
~((m>(l>y))) | (((m&q)>~(~(y)))|((h|q)&(((m|m)|m)&h))) | 0 | 0 | 0 | 0 | not entailment |
(((y&~((l&~(m))))&h)&m) | (q>l) | 0 | 1 | 0 | 0 | not entailment |
((((h>q)&m)&((q>h)&(h>q)))>l) | ((m|m)>(h|(l|((m&m)&(m>(m>q)))))) | 1 | 0 | 1 | 0 | entailment |
~(((h&(l>(h&m)))|(~(l)&(((y>h)|q)|q)))) | ((~(m)|(l|~(q)))|(q&l)) | 1 | 1 | 1 | 0 | entailment |
((((h>q)&m)&((q>h)&(h>q)))>l) | ((~(m)|(l|~(q)))|(q&l)) | 0 | 1 | 1 | 1 | not entailment |
~(((h&(l>(h&m)))|(~(l)&(((y>h)|q)|q)))) | ((m|m)>(h|(l|((m&m)&(m>(m>q)))))) | 0 | 1 | 1 | 0 | not entailment |
(q&((m>(q|l))&(q&l))) | (l|m) | 1 | 1 | 1 | 0 | entailment |
(q&h) | ((h>~(h))>(y&q)) | 1 | 0 | 0 | 0 | entailment |
(q&((m>(q|l))&(q&l))) | ((h>~(h))>(y&q)) | 0 | 1 | 0 | 0 | not entailment |
(q&h) | (l|m) | 0 | 1 | 0 | 0 | not entailment |
((q|h)&(~((l&(~(q)>q)))&(q&y))) | (((h>~(l))|(h>(q|q)))|(y|y)) | 1 | 1 | 1 | 0 | entailment |
((~(l)>(l&y))&~((h&m))) | (l&(l|y)) | 1 | 1 | 1 | 1 | entailment |
((q|h)&(~((l&(~(q)>q)))&(q&y))) | (l&(l|y)) | 0 | 1 | 1 | 0 | not entailment |
((~(l)>(l&y))&~((h&m))) | (((h>~(l))|(h>(q|q)))|(y|y)) | 0 | 0 | 0 | 0 | not entailment |
(q&~((y&(y&(q>m))))) | ((((m|l)>(h>(y&q)))&h)>(h&q)) | 1 | 0 | 0 | 0 | entailment |
(q>~((m>m))) | ~(((q|h)&~(h))) | 1 | 0 | 0 | 0 | entailment |
(q&~((y&(y&(q>m))))) | ~(((q|h)&~(h))) | 0 | 1 | 0 | 0 | not entailment |
(q>~((m>m))) | ((((m|l)>(h>(y&q)))&h)>(h&q)) | 0 | 0 | 0 | 0 | not entailment |
(((l|q)&(h&l))&(((q&y)|(l|h))>y)) | ((m&(~(l)|~(q)))|(y>(h|~(~(q))))) | 1 | 0 | 0 | 0 | entailment |
~(m) | (~(m)|~((m|m))) | 1 | 0 | 1 | 1 | entailment |
(((l|q)&(h&l))&(((q&y)|(l|h))>y)) | (~(m)|~((m|m))) | 0 | 1 | 0 | 0 | not entailment |
~(m) | ((m&(~(l)|~(q)))|(y>(h|~(~(q))))) | 0 | 0 | 0 | 0 | not entailment |
~((m|(((h|l)>l)|~((y>y))))) | ((y&y)|(~(q)|(m>(m>l)))) | 1 | 1 | 0 | 0 | entailment |
~((m>(y|(l&l)))) | ((y&(q&(y|m)))>~((m|((y&h)|(l|l))))) | 1 | 0 | 0 | 0 | entailment |
~((m|(((h|l)>l)|~((y>y))))) | ((y&(q&(y|m)))>~((m|((y&h)|(l|l))))) | 0 | 0 | 0 | 0 | not entailment |
~((m>(y|(l&l)))) | ((y&y)|(~(q)|(m>(m>l)))) | 0 | 0 | 0 | 0 | not entailment |
((~((m>q))&(y>((q>l)>h)))|m) | (~((m>m))|(h|~((h|~(m))))) | 1 | 1 | 1 | 0 | entailment |
~(m) | ~(~((m>((((h>q)|h)&h)&~(y))))) | 1 | 0 | 0 | 0 | entailment |
((~((m>q))&(y>((q>l)>h)))|m) | ~(~((m>((((h>q)|h)&h)&~(y))))) | 0 | 0 | 1 | 0 | not entailment |
~(m) | (~((m>m))|(h|~((h|~(m))))) | 0 | 0 | 0 | 0 | not entailment |
(l&(l>~(y))) | ((((h|h)>(l|y))|((q>~(q))&(h>h)))&(l|q)) | 1 | 0 | 0 | 0 | entailment |
(~(y)>((m|m)&(~(m)&q))) | (((h&(q&m))>(l>(y&h)))&(q>(y|~(q)))) | 1 | 0 | 0 | 0 | entailment |
(l&(l>~(y))) | (((h&(q&m))>(l>(y&h)))&(q>(y|~(q)))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)>((m|m)&(~(m)&q))) | ((((h|h)>(l|y))|((q>~(q))&(h>h)))&(l|q)) | 0 | 0 | 0 | 0 | not entailment |
(y&~(((h|(m&l))|~(l)))) | (y|((~(l)&q)&~((q|(m>m))))) | 1 | 0 | 0 | 0 | entailment |
(q&h) | ~(~(q)) | 1 | 0 | 1 | 1 | entailment |
(y&~(((h|(m&l))|~(l)))) | ~(~(q)) | 0 | 1 | 0 | 0 | not entailment |
(q&h) | (y|((~(l)&q)&~((q|(m>m))))) | 0 | 0 | 0 | 0 | not entailment |
~(((m|h)>h)) | (y|(l|m)) | 1 | 1 | 0 | 0 | entailment |
~((l|(q&q))) | ~(((y>q)&l)) | 1 | 1 | 0 | 0 | entailment |
~(((m|h)>h)) | ~(((y>q)&l)) | 0 | 1 | 0 | 0 | not entailment |
~((l|(q&q))) | (y|(l|m)) | 0 | 1 | 0 | 0 | not entailment |
((m&y)|m) | ((l|l)>m) | 1 | 1 | 0 | 0 | entailment |
~((m|((q&((y>m)|h))&(y|y)))) | ~((q&m)) | 1 | 1 | 1 | 1 | entailment |
((m&y)|m) | ~((q&m)) | 0 | 1 | 0 | 0 | not entailment |
~((m|((q&((y>m)|h))&(y|y)))) | ((l|l)>m) | 0 | 1 | 0 | 0 | not entailment |
((~((m|y))>y)&m) | ~(~((((l&(q>h))>~(h))>(l|m)))) | 1 | 0 | 0 | 0 | entailment |
((h|~((((h>m)&l)|h)))|h) | ~(((l&(m|~(y)))&~(((h&l)&(h>h))))) | 1 | 0 | 0 | 0 | entailment |
((~((m|y))>y)&m) | ~(((l&(m|~(y)))&~(((h&l)&(h>h))))) | 0 | 0 | 0 | 0 | not entailment |
((h|~((((h>m)&l)|h)))|h) | ~(~((((l&(q>h))>~(h))>(l|m)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((k|h)))) | (~(~((~(((u|h)>k))&h)))|~(k)) | 1 | 0 | 0 | 0 | entailment |
(~((u&h))&(((~(h)|d)|h)>~(u))) | (((h|d)>(a&k))|((h|k)|(u>a))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((k|h)))) | (((h|d)>(a&k))|((h|k)|(u>a))) | 0 | 0 | 0 | 0 | not entailment |
(~((u&h))&(((~(h)|d)|h)>~(u))) | (~(~((~(((u|h)>k))&h)))|~(k)) | 0 | 1 | 0 | 0 | not entailment |
(((d>h)|u)&d) | ((~((h|(d&u)))>a)&~(~((u|h)))) | 1 | 0 | 0 | 0 | entailment |
(((k|d)>(k&~(((((a>a)&k)>u)&d))))&u) | (((u>k)&d)>~(((k&k)|h))) | 1 | 1 | 0 | 0 | entailment |
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