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 |
|---|---|---|---|---|---|---|
~(((~((h|c))&r)>~((n>(h>n))))) | ~(~(((v&h)>(r&v)))) | 1 | 1 | 0 | 0 | entailment |
(p&(h&k)) | ~(~(((v&h)>(r&v)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((h|c))&r)>~((n>(h>n))))) | (c|h) | 0 | 1 | 1 | 0 | not entailment |
(k&(h>(f|n))) | (k|(m|r)) | 1 | 1 | 0 | 0 | entailment |
((((n|v)>((h>r)&m))>(p&(f|c)))&f) | (h>(f&(k>h))) | 1 | 1 | 0 | 0 | entailment |
(k&(h>(f|n))) | (h>(f&(k>h))) | 0 | 1 | 1 | 0 | not entailment |
((((n|v)>((h>r)&m))>(p&(f|c)))&f) | (k|(m|r)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(((m|c)&(c&m))))&(k&h))&p) | (r>c) | 1 | 1 | 0 | 0 | entailment |
~(h) | (h>((n>k)&((v>m)&r))) | 1 | 0 | 0 | 0 | entailment |
((~(~(((m|c)&(c&m))))&(k&h))&p) | (h>((n>k)&((v>m)&r))) | 0 | 1 | 0 | 0 | not entailment |
~(h) | (r>c) | 0 | 1 | 0 | 0 | not entailment |
(((~(v)|((~(n)&c)|k))>(n>k))&v) | ((~((r&v))>f)|(((~((c|n))>k)&r)>(k|k))) | 1 | 0 | 0 | 0 | entailment |
(n&c) | (~((~((~(h)|m))>r))>c) | 1 | 0 | 0 | 0 | entailment |
(((~(v)|((~(n)&c)|k))>(n>k))&v) | (~((~((~(h)|m))>r))>c) | 0 | 1 | 0 | 0 | not entailment |
(n&c) | ((~((r&v))>f)|(((~((c|n))>k)&r)>(k|k))) | 0 | 0 | 0 | 0 | not entailment |
(((((r|n)&(k|m))>v)|(((v&v)&k)|k))&m) | (~(r)>m) | 1 | 1 | 1 | 0 | entailment |
((~(p)&~(~((~(c)|(h>n)))))&(m>(r&c))) | (((c>(k>(h>f)))&(p&c))|(r|(m>(k&p)))) | 1 | 1 | 0 | 0 | entailment |
(((((r|n)&(k|m))>v)|(((v&v)&k)|k))&m) | (((c>(k>(h>f)))&(p&c))|(r|(m>(k&p)))) | 0 | 1 | 0 | 0 | not entailment |
((~(p)&~(~((~(c)|(h>n)))))&(m>(r&c))) | (~(r)>m) | 0 | 1 | 1 | 0 | not entailment |
(~(~((f&(c&((p>(h&h))&r)))))&k) | (~(k)>(((~(r)>(~(k)|c))|h)>(r>(f&h)))) | 1 | 0 | 1 | 0 | entailment |
((c&n)&h) | (~((n&(((v>r)>n)|r)))>m) | 1 | 0 | 0 | 0 | entailment |
(~(~((f&(c&((p>(h&h))&r)))))&k) | (~((n&(((v>r)>n)|r)))>m) | 0 | 1 | 0 | 0 | not entailment |
((c&n)&h) | (~(k)>(((~(r)>(~(k)|c))|h)>(r>(f&h)))) | 0 | 0 | 0 | 0 | not entailment |
((k&m)&p) | (v|p) | 1 | 1 | 0 | 0 | entailment |
(((~(m)>~(r))>v)&h) | (((r&~(f))&p)|(m>h)) | 1 | 1 | 0 | 0 | entailment |
((k&m)&p) | (((r&~(f))&p)|(m>h)) | 0 | 0 | 0 | 0 | not entailment |
(((~(m)>~(r))>v)&h) | (v|p) | 0 | 1 | 0 | 0 | not entailment |
(f|((c>p)&k)) | (f|(k|f)) | 1 | 1 | 1 | 1 | entailment |
(n&p) | (((r>v)>(c|n))>(~(c)>p)) | 1 | 0 | 0 | 0 | entailment |
(f|((c>p)&k)) | (((r>v)>(c|n))>(~(c)>p)) | 0 | 0 | 0 | 0 | not entailment |
(n&p) | (f|(k|f)) | 0 | 0 | 0 | 0 | not entailment |
~((k>f)) | (((f|c)|(k&k))|(n|~(r))) | 1 | 0 | 0 | 0 | entailment |
((f>v)&((r|r)&m)) | (~((~(r)&(f>p)))|(((h|n)&(m&c))>v)) | 1 | 0 | 0 | 0 | entailment |
~((k>f)) | (~((~(r)&(f>p)))|(((h|n)&(m&c))>v)) | 0 | 0 | 0 | 0 | not entailment |
((f>v)&((r|r)&m)) | (((f|c)|(k&k))|(n|~(r))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((c|v)))) | (c>((r|((v>(n>k))|(f&m)))|((f&c)|~(p)))) | 1 | 0 | 0 | 0 | entailment |
~((~(((v|h)&((c&~(h))|v)))|k)) | (h|v) | 1 | 1 | 1 | 1 | entailment |
~(~(~((c|v)))) | (h|v) | 0 | 1 | 0 | 0 | not entailment |
~((~(((v|h)&((c&~(h))|v)))|k)) | (c>((r|((v>(n>k))|(f&m)))|((f&c)|~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(r&~(~(k))) | (~((r&k))>~((((m&~((v>v)))>c)|v))) | 1 | 0 | 0 | 0 | entailment |
(f|(k&(v&r))) | (v|f) | 1 | 1 | 1 | 1 | entailment |
(r&~(~(k))) | (v|f) | 0 | 1 | 0 | 0 | not entailment |
(f|(k&(v&r))) | (~((r&k))>~((((m&~((v>v)))>c)|v))) | 0 | 0 | 0 | 0 | not entailment |
(~(v)&((j&h)&h)) | ((q|h)&(r|(j|r))) | 1 | 1 | 0 | 0 | entailment |
(r>(v&q)) | (r>((h>r)&(y>v))) | 1 | 0 | 0 | 0 | entailment |
(~(v)&((j&h)&h)) | (r>((h>r)&(y>v))) | 0 | 1 | 0 | 0 | not entailment |
(r>(v&q)) | ((q|h)&(r|(j|r))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((h>(j&h)))))&(~((j|q))&(q|l))) | ~((j&(r|h))) | 1 | 1 | 0 | 0 | entailment |
(l&(((q&j)&r)&q)) | (((~(j)>l)>(y&y))>(r|q)) | 1 | 0 | 0 | 0 | entailment |
(~(~(~((h>(j&h)))))&(~((j|q))&(q|l))) | (((~(j)>l)>(y&y))>(r|q)) | 0 | 1 | 0 | 0 | not entailment |
(l&(((q&j)&r)&q)) | ~((j&(r|h))) | 0 | 1 | 0 | 0 | not entailment |
((~(h)&~(h))&y) | (q>(h>r)) | 1 | 1 | 0 | 0 | entailment |
(((j>((v|(y&l))&l))&q)|v) | (v|(q&(h>h))) | 1 | 1 | 0 | 0 | entailment |
((~(h)&~(h))&y) | (v|(q&(h>h))) | 0 | 1 | 0 | 0 | not entailment |
(((j>((v|(y&l))&l))&q)|v) | (q>(h>r)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~(h)&(q&(y|h)))&(r|(h&h))))) | (r|((h&l)&~((v&~((y>l)))))) | 1 | 1 | 0 | 0 | entailment |
(y&((j&q)&q)) | (((~(r)|~(h))>(y>q))>j) | 1 | 0 | 0 | 0 | entailment |
~(~(((~(h)&(q&(y|h)))&(r|(h&h))))) | (((~(r)|~(h))>(y>q))>j) | 0 | 1 | 0 | 0 | not entailment |
(y&((j&q)&q)) | (r|((h&l)&~((v&~((y>l)))))) | 0 | 0 | 0 | 0 | not entailment |
(y&~(~((~(~((q|l)))&(h|l))))) | ((((v>y)|y)>r)>(~((l|(v>l)))>y)) | 1 | 1 | 0 | 0 | entailment |
(j&(r&(~(((v&r)&(q&r)))>v))) | (~(~((j|q)))|q) | 1 | 1 | 1 | 1 | entailment |
(y&~(~((~(~((q|l)))&(h|l))))) | (~(~((j|q)))|q) | 0 | 1 | 0 | 0 | not entailment |
(j&(r&(~(((v&r)&(q&r)))>v))) | ((((v>y)|y)>r)>(~((l|(v>l)))>y)) | 0 | 0 | 0 | 0 | not entailment |
~((r>((j|((h>(j&j))|(j|y)))&q))) | ~(~(((r|y)|~(((h&q)|r))))) | 1 | 1 | 1 | 0 | entailment |
~(((j>(h&y))|y)) | (v>j) | 1 | 1 | 0 | 0 | entailment |
~((r>((j|((h>(j&j))|(j|y)))&q))) | (v>j) | 0 | 1 | 0 | 0 | not entailment |
~(((j>(h&y))|y)) | ~(~(((r|y)|~(((h&q)|r))))) | 0 | 0 | 0 | 0 | not entailment |
((v>(j&(j&~(r))))&(l|~(r))) | ((q&v)>j) | 1 | 1 | 0 | 0 | entailment |
(v&r) | (h>r) | 1 | 1 | 0 | 0 | entailment |
((v>(j&(j&~(r))))&(l|~(r))) | (h>r) | 0 | 1 | 0 | 0 | not entailment |
(v&r) | ((q&v)>j) | 0 | 0 | 0 | 0 | not entailment |
~(((j>h)|~(((v|(l>(v>y)))>(v&q))))) | ((h&((r&v)>~(v)))>(h>~(j))) | 1 | 1 | 0 | 0 | entailment |
(l&(v>l)) | (((y>v)|j)>(l|h)) | 1 | 0 | 0 | 0 | entailment |
~(((j>h)|~(((v|(l>(v>y)))>(v&q))))) | (((y>v)|j)>(l|h)) | 0 | 1 | 1 | 0 | not entailment |
(l&(v>l)) | ((h&((r&v)>~(v)))>(h>~(j))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(l)&((q&j)&(((q&r)|h)|v))))) | (((h&~(q))>~(v))|j) | 1 | 1 | 1 | 0 | entailment |
((h&v)&((h>l)>h)) | (((v|l)>~((h|h)))>r) | 1 | 0 | 0 | 0 | entailment |
~(~((~(l)&((q&j)&(((q&r)|h)|v))))) | (((v|l)>~((h|h)))>r) | 0 | 1 | 1 | 0 | not entailment |
((h&v)&((h>l)>h)) | (((h&~(q))>~(v))|j) | 0 | 0 | 0 | 0 | not entailment |
~((((y>y)&v)>~(~(j)))) | ((j>~((h&y)))|((v>h)>v)) | 1 | 1 | 0 | 0 | entailment |
~(~((l&y))) | (l|~(~((~(h)>j)))) | 1 | 0 | 0 | 0 | entailment |
~((((y>y)&v)>~(~(j)))) | (l|~(~((~(h)>j)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((l&y))) | ((j>~((h&y)))|((v>h)>v)) | 0 | 0 | 0 | 0 | not entailment |
(h&y) | (~(~((q>(h|h))))>(((j>y)>(j|h))>h)) | 1 | 0 | 0 | 0 | entailment |
~(~(v)) | ~(((r&(l>h))&~((~(y)|v)))) | 1 | 0 | 0 | 0 | entailment |
(h&y) | ~(((r&(l>h))&~((~(y)|v)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(v)) | (~(~((q>(h|h))))>(((j>y)>(j|h))>h)) | 0 | 0 | 0 | 0 | not entailment |
~((~((h&(~(~((y&r)))|q)))|(l|q))) | ((l|(((h|r)>(~(r)|y))&v))|(h|(q|(y&l)))) | 1 | 0 | 0 | 0 | entailment |
~(~((y&(~(j)&~(j))))) | ~(((r>(~(r)>~((((h&(l|v))&q)>q))))>j)) | 1 | 0 | 0 | 0 | entailment |
~((~((h&(~(~((y&r)))|q)))|(l|q))) | ~(((r>(~(r)>~((((h&(l|v))&q)>q))))>j)) | 0 | 0 | 0 | 0 | not entailment |
~(~((y&(~(j)&~(j))))) | ((l|(((h|r)>(~(r)|y))&v))|(h|(q|(y&l)))) | 0 | 0 | 0 | 0 | not entailment |
((y>r)&y) | (((y|(r|j))|(l&(y|(r>h))))>y) | 1 | 0 | 0 | 0 | entailment |
(l|~(~(~(j)))) | (~((j>~((v|(v|q)))))>l) | 1 | 0 | 0 | 0 | entailment |
((y>r)&y) | (~((j>~((v|(v|q)))))>l) | 0 | 0 | 0 | 0 | not entailment |
(l|~(~(~(j)))) | (((y|(r|j))|(l&(y|(r>h))))>y) | 0 | 0 | 0 | 0 | not entailment |
~((((y>l)|l)|(q&~(((y|r)|(l>l)))))) | ~((l&(((l>q)|v)&h))) | 1 | 1 | 0 | 0 | entailment |
(((~((q|(l>h)))|h)>l)&h) | ((v&(j&(v|j)))>(h|(y&~((r&r))))) | 1 | 0 | 0 | 0 | entailment |
~((((y>l)|l)|(q&~(((y|r)|(l>l)))))) | ((v&(j&(v|j)))>(h|(y&~((r&r))))) | 0 | 1 | 0 | 0 | not entailment |
(((~((q|(l>h)))|h)>l)&h) | ~((l&(((l>q)|v)&h))) | 0 | 1 | 0 | 0 | not entailment |
((y|h)&(~(v)&((((v&y)&~(j))|y)>(h>r)))) | (~(((r|~(~((h>v))))&(j>((q>y)|y))))>h) | 1 | 1 | 0 | 0 | entailment |
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