YES

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 90-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 3 0 5 1 3 2 4 5 5 -> 1 2 3 3 0 4 1 5 1 3 ,
  3 3 1 4 3 1 0 5 5 4 -> 5 4 1 1 4 5 2 3 3 2 ,
  5 0 1 5 2 5 2 0 5 4 -> 3 5 1 2 4 1 0 0 1 3 ,
  5 0 5 4 5 0 0 2 1 3 -> 3 5 3 0 2 4 3 2 0 4 ,
  0 2 5 4 4 2 0 3 5 1 5 -> 0 0 2 4 4 4 1 0 5 3 ,
  0 3 1 5 4 1 5 5 5 3 2 -> 1 0 4 4 1 4 2 0 5 3 ,
  1 0 4 5 4 0 3 0 3 2 5 -> 0 5 5 5 0 1 1 1 2 4 ,
  1 2 4 1 0 3 2 5 5 3 1 -> 3 1 1 3 5 2 5 5 2 1 ,
  1 4 0 1 2 1 4 5 4 4 0 -> 4 3 3 4 1 0 3 1 2 4 ,
  1 4 2 1 4 1 2 5 2 3 3 -> 3 0 0 2 3 2 4 1 4 3 ,
  1 5 2 4 1 5 0 1 0 2 0 -> 1 1 3 4 5 2 5 4 1 1 ,
  2 0 0 1 2 1 1 4 5 5 1 -> 3 1 3 4 1 0 0 0 2 2 ,
  2 1 0 2 3 0 5 3 5 0 3 -> 0 1 1 0 3 2 0 5 4 2 ,
  2 1 0 4 3 3 1 3 0 5 0 -> 5 1 5 0 4 4 2 5 0 2 ,
  2 1 2 3 4 0 4 2 2 3 5 -> 3 1 2 2 4 3 3 3 2 4 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  2 1 4 5 5 1 2 5 4 3 5 -> 4 5 5 4 2 2 2 3 2 0 ,
  2 3 0 3 2 4 3 5 3 3 1 -> 1 1 1 3 1 0 3 1 5 5 ,
  2 3 3 1 3 2 3 3 1 1 2 -> 2 1 4 1 4 5 4 2 2 1 ,
  2 4 0 0 4 1 0 2 1 0 4 -> 1 3 5 4 4 4 0 3 4 2 ,
  2 4 0 2 0 0 0 1 0 5 3 -> 5 1 4 4 4 0 1 4 5 1 ,
  2 5 2 1 1 0 3 1 3 4 3 -> 4 4 4 5 3 3 0 3 1 3 ,
  3 0 5 1 2 4 4 5 1 0 3 -> 3 0 2 4 4 1 5 1 0 5 3 ,
  3 2 0 0 5 2 3 2 1 0 2 -> 4 1 2 4 0 2 5 3 4 2 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  3 3 2 4 5 0 3 2 2 4 3 -> 0 3 0 3 0 3 1 0 1 4 ,
  3 4 0 3 5 3 4 1 2 4 3 -> 5 1 0 5 3 3 1 4 2 0 ,
  3 5 0 3 4 4 4 3 4 4 3 -> 3 1 1 2 3 4 1 5 4 1 ,
  3 5 2 5 0 0 1 4 1 4 5 -> 2 2 2 4 3 3 0 3 5 2 ,
  4 0 4 1 3 4 5 2 2 1 5 -> 5 0 3 0 4 2 2 3 4 5 ,
  4 2 1 5 0 4 3 5 3 3 0 -> 1 3 4 4 3 4 4 0 1 2 ,
  4 2 4 3 1 3 0 0 2 1 0 -> 4 0 1 4 2 0 0 0 4 4 ,
  4 4 5 3 1 0 5 4 1 3 3 -> 0 5 4 4 4 3 2 3 2 2 ,
  4 5 3 2 5 4 5 0 4 2 3 -> 0 0 1 5 0 0 2 4 2 2 ,
  4 5 5 3 5 4 3 4 5 4 0 -> 0 2 5 0 2 4 3 4 5 1 ,
  5 0 1 1 5 0 3 0 0 2 3 -> 3 3 4 5 5 0 3 1 1 1 ,
  5 0 1 3 0 0 0 4 3 1 4 -> 1 4 4 5 5 0 4 2 5 2 ,
  5 0 2 5 0 4 3 0 1 3 5 -> 2 5 3 0 0 0 3 3 2 2 ,
  5 1 5 4 2 0 5 4 3 4 0 -> 4 0 2 4 4 4 4 0 4 2 ,
  5 5 4 2 1 5 5 3 3 4 4 -> 5 4 4 3 4 0 0 2 2 3 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 2 1 2 3 4 1 1 5 -> 0 5 5 0 2 0 3 5 4 1 ,
  0 3 1 1 4 4 3 1 2 2 0 1 -> 3 2 3 3 5 5 0 1 5 3 ,
  1 2 5 4 0 2 4 2 2 1 2 5 -> 5 4 0 3 1 2 0 2 1 2 ,
  2 5 2 2 4 3 2 4 1 1 4 1 -> 0 2 4 2 2 3 2 0 1 3 ,
  3 2 2 5 1 0 1 2 5 3 1 3 -> 4 0 5 4 5 5 5 4 4 2 ,
  3 2 5 4 2 4 1 3 1 1 2 5 -> 3 3 1 5 3 0 4 0 0 1 ,
  3 4 3 4 4 1 3 4 5 0 4 1 -> 4 2 0 0 0 2 4 1 3 3 ,
  3 5 3 4 1 3 4 0 1 2 1 1 -> 2 5 4 5 5 2 1 0 1 4 ,
  4 0 0 4 4 2 1 4 4 1 2 0 -> 4 4 5 2 1 0 1 0 2 4 ,
  4 3 1 2 4 3 2 5 2 4 5 5 -> 5 3 0 1 0 5 5 5 0 3 ,
  4 4 1 3 0 4 1 2 3 0 0 4 -> 3 4 0 1 5 1 4 3 1 0 ,
  5 2 3 5 0 1 4 2 4 5 0 2 -> 4 5 1 3 1 5 5 5 1 0 ,
  5 5 4 1 2 0 3 1 4 4 1 1 -> 4 4 5 5 0 2 2 3 3 2 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 44-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 3 0 5 1 3 2 4 5 5 -> 1 2 3 3 0 4 1 5 1 3 ,
  3 3 1 4 3 1 0 5 5 4 -> 5 4 1 1 4 5 2 3 3 2 ,
  5 0 1 5 2 5 2 0 5 4 -> 3 5 1 2 4 1 0 0 1 3 ,
  5 0 5 4 5 0 0 2 1 3 -> 3 5 3 0 2 4 3 2 0 4 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  3 0 5 1 2 4 4 5 1 0 3 -> 3 0 2 4 4 1 5 1 0 5 3 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 43-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 3 0 5 1 3 2 4 5 5 -> 1 2 3 3 0 4 1 5 1 3 ,
  3 3 1 4 3 1 0 5 5 4 -> 5 4 1 1 4 5 2 3 3 2 ,
  5 0 1 5 2 5 2 0 5 4 -> 3 5 1 2 4 1 0 0 1 3 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  3 0 5 1 2 4 4 5 1 0 3 -> 3 0 2 4 4 1 5 1 0 5 3 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 41-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  3 3 1 4 3 1 0 5 5 4 -> 5 4 1 1 4 5 2 3 3 2 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  3 0 5 1 2 4 4 5 1 0 3 -> 3 0 2 4 4 1 5 1 0 5 3 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 40-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  3 0 5 1 2 4 4 5 1 0 3 -> 3 0 2 4 4 1 5 1 0 5 3 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 12:

0 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
1 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
2 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
3 is interpreted by
 /                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
 \                       /
4 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
5 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 39-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  3 2 3 5 3 5 2 5 3 5 5 -> 3 2 3 5 3 5 2 3 5 5 5 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 12:

0 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
1 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
2 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
3 is interpreted by
 /                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
4 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
5 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
 \                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 38-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  5 5 4 2 2 5 0 1 2 2 3 -> 5 5 4 2 2 5 1 0 2 2 3 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 12:

0 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
1 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
2 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
3 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
 \                       /
4 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
5 is interpreted by
 /                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 37-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 0 0 0 2 1 0 3 4 3 0 5 2 3 3 -> 3 0 0 0 2 1 0 3 4 3 0 2 5 3 3 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

0 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
1 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
2 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
3 is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
4 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
5 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 36-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  1 0 1 4 1 4 0 1 1 1 4 5 2 0 5 5 3 -> 1 0 1 4 1 4 0 1 1 1 4 2 5 0 5 5 3 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 35-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  0 3 1 0 3 4 1 2 0 2 1 3 5 1 2 4 5 2 -> 0 3 1 3 0 4 1 2 0 2 1 3 5 1 2 4 5 2 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 34-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  0 0 0 3 1 2 2 0 1 1 4 5 5 4 2 3 5 3 0 3 1 3 -> 0 0 3 0 1 2 2 1 0 1 4 5 5 4 2 3 5 3 0 3 1 3 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 23:

0 is interpreted by
 /                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
1 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
2 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
3 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
4 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
5 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 33-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 0 3 3 4 3 0 3 4 2 3 3 2 4 5 2 5 0 0 0 3 2 4 -> 2 0 3 3 4 3 0 3 4 2 3 3 2 4 2 5 5 0 0 0 3 2 4 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

0 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
1 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
2 is interpreted by
 /                                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
3 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
4 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
5 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 32-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 5 3 5 5 2 4 1 4 -> 1 1 5 5 5 4 4 2 3 0 3 5 0 4 0 3 3 5 5 5 2 4 1 4 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

0 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
1 is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
2 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
3 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
4 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
5 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 31-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  1 2 1 1 4 3 3 0 0 5 5 3 2 1 5 5 5 5 5 5 2 5 2 2 -> 1 2 1 1 4 3 3 0 0 5 5 2 3 1 5 5 5 5 5 5 2 5 2 2 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

0 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
1 is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
2 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
3 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
4 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
5 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 30-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 4 1 1 4 2 2 4 -> 5 1 2 3 3 1 0 0 5 5 5 0 3 5 4 2 0 1 4 1 4 2 2 4 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

0 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
1 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
2 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
3 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
4 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
5 is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 29-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 5 5 5 3 5 5 1 0 4 3 5 5 4 1 1 2 4 2 4 2 0 4 3 -> 3 1 5 5 5 3 5 5 1 0 3 4 5 5 4 1 1 2 4 2 4 2 0 4 3 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

0 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
1 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
2 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
3 is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
4 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
5 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 28-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  2 0 1 2 3 2 5 5 0 0 5 5 1 2 1 3 4 5 4 5 0 3 0 4 3 4 -> 2 0 1 3 5 0 4 5 2 2 2 0 5 3 1 0 5 4 3 5 4 0 5 1 3 4 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 27:

0 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
1 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
2 is interpreted by
 /                                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
3 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
4 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
5 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 27-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 4 2 3 5 0 3 2 -> 2 3 1 2 0 0 4 5 5 3 2 4 3 3 4 5 4 1 3 4 2 4 3 5 0 3 2 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 28:

0 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
1 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
2 is interpreted by
 /                                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
3 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
4 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
5 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 26-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 1 0 4 1 1 0 3 1 3 3 1 0 4 0 1 4 0 4 3 1 2 4 5 3 2 3 -> 3 0 1 4 1 1 3 0 3 1 1 0 4 3 1 4 0 0 4 3 1 2 3 5 4 2 3 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 28:

0 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
1 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
2 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
3 is interpreted by
 /                                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
4 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
5 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 25-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  1 2 1 3 0 4 5 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 -> 1 2 1 3 0 5 4 2 3 1 3 3 5 0 2 0 3 5 2 0 4 5 1 3 0 1 0 2 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

0 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
1 is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
2 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
3 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
4 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
5 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 24-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  2 0 0 2 1 5 3 4 5 2 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 -> 2 0 0 2 1 5 3 4 2 5 3 4 1 4 0 4 5 0 4 4 0 5 3 0 0 4 5 5 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

0 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
1 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
2 is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
3 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
4 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
5 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 23-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  3 3 5 5 0 1 0 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 -> 3 3 5 5 0 0 1 4 3 5 5 2 5 0 2 0 4 1 4 3 4 0 1 4 2 1 0 2 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

0 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
1 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
2 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
3 is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
4 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
5 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 22-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  1 0 4 0 4 5 3 1 5 2 2 1 5 2 3 2 3 3 3 2 1 5 5 1 3 5 4 3 4 -> 0 0 1 4 3 1 5 5 4 5 1 3 2 2 2 2 1 3 5 3 2 3 3 1 4 5 5 3 4 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 30:

0 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
1 is interpreted by
 /                                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
2 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
3 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
4 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
5 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 21-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  2 1 3 1 3 2 3 4 5 5 0 -> 2 1 3 1 3 2 4 3 5 5 0 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 12:

0 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
 \                       /
1 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
2 is interpreted by
 /                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
3 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
4 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
5 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 20-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  2 4 2 4 5 0 3 2 4 0 3 5 0 -> 2 4 2 4 5 0 2 3 4 0 3 5 0 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 14:

0 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
1 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
2 is interpreted by
 /                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
3 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
4 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
5 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 19-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  3 4 1 0 4 0 1 0 1 5 1 3 0 5 0 -> 3 4 0 1 4 0 1 0 1 5 1 3 0 5 0 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

0 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
1 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
2 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
3 is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
4 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
5 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 18-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  2 4 3 3 3 4 1 1 5 3 2 0 0 4 2 2 2 0 5 3 0 1 0 -> 2 4 3 3 3 4 1 1 5 3 2 0 0 2 4 2 2 0 5 3 0 1 0 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

0 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
1 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
2 is interpreted by
 /                                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
3 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
4 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
5 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 17-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  3 5 5 0 0 2 3 5 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 -> 3 5 5 0 0 2 5 3 2 3 5 1 0 2 3 0 3 4 1 4 1 4 3 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

0 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
1 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
2 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
3 is interpreted by
 /                                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
4 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
5 is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 16-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 4 3 1 5 2 3 0 -> 2 5 1 5 4 0 4 3 0 4 0 1 2 4 0 5 0 5 3 4 1 5 2 3 0 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

0 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
1 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
2 is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
3 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
4 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
5 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 15-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  0 1 0 4 4 5 3 0 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 -> 0 1 0 4 4 5 0 3 0 3 5 4 3 1 2 2 3 0 4 0 1 4 0 0 5 3 0 4 0 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 30:

0 is interpreted by
 /                                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
1 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
2 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
3 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
4 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
5 is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 14-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 0 5 4 2 4 5 5 0 -> 0 1 5 5 2 4 5 2 2 3 2 3 2 3 0 4 1 5 3 5 0 3 5 0 4 2 4 5 5 0 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 31:

0 is interpreted by
 /                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
1 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
2 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
3 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
4 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
5 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 13-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 1 3 1 3 1 1 2 5 4 -> 0 5 5 5 5 0 1 1 5 5 1 0 0 4 4 1 3 3 1 1 4 3 1 1 3 1 1 2 5 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 31:

0 is interpreted by
 /                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
1 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
2 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
3 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
4 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
5 is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 12-rule system
{ 0 1 0 1 2 3 4 5 -> 1 1 0 0 2 3 4 5 ,
  4 1 2 0 1 4 5 4 3 -> 4 5 1 1 0 2 3 4 4 ,
  4 4 5 5 0 0 0 3 1 -> 4 4 5 0 5 0 0 3 1 ,
  0 1 0 2 0 1 5 1 4 2 5 4 1 -> 0 1 0 2 0 1 1 5 4 2 5 4 1 ,
  5 2 0 2 2 1 0 3 2 5 1 1 2 1 0 1 1 -> 5 2 0 2 2 1 0 3 2 5 2 1 1 0 1 1 1 ,
  1 2 0 4 2 4 5 4 1 2 2 2 5 0 5 2 3 1 -> 1 2 0 4 4 2 5 4 1 2 2 2 5 0 5 2 3 1 ,
  4 5 2 3 5 2 2 4 2 4 2 1 4 3 4 3 3 2 0 1 -> 4 5 2 3 5 2 2 4 4 2 2 1 4 3 4 3 3 2 0 1 ,
  4 2 5 3 3 2 4 4 5 5 3 5 3 3 2 3 0 2 2 5 1 5 1 -> 4 2 5 3 3 2 4 4 5 5 5 3 3 3 2 3 0 2 2 5 1 5 1 ,
  1 0 2 3 1 1 2 3 4 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 -> 1 0 2 3 1 1 2 4 3 3 4 2 4 0 1 0 3 1 0 0 2 2 5 1 ,
  4 3 1 4 5 2 5 1 4 4 5 2 0 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 -> 4 3 1 4 5 2 5 1 4 4 5 0 2 2 4 2 1 4 2 4 0 0 4 0 3 0 0 2 4 ,
  2 2 5 2 4 4 0 1 2 2 2 0 3 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 -> 2 2 5 2 4 4 0 1 2 2 2 3 0 2 5 4 5 0 2 5 0 3 5 1 4 5 1 1 5 1 ,
  3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 2 4 5 5 0 1 4 5 -> 3 1 3 3 1 5 1 0 0 0 3 4 1 2 0 5 3 4 5 2 4 3 4 2 5 5 0 1 4 5 }


The system was reversed.

After renaming modulo { 5->0, 4->1, 3->2, 2->3, 1->4, 0->5 }, 
it remains to prove termination of the 12-rule system
{ 0 1 2 3 4 5 4 5 -> 0 1 2 3 5 5 4 4 ,
  2 1 0 1 4 5 3 4 1 -> 1 1 2 3 5 4 4 0 1 ,
  4 2 5 5 5 0 0 1 1 -> 4 2 5 5 0 5 0 1 1 ,
  4 1 0 3 1 4 0 4 5 3 5 4 5 -> 4 1 0 3 1 0 4 4 5 3 5 4 5 ,
  4 4 5 4 3 4 4 0 3 2 5 4 3 3 5 3 0 -> 4 4 4 5 4 4 3 0 3 2 5 4 3 3 5 3 0 ,
  4 2 3 0 5 0 3 3 3 4 1 0 1 3 1 5 3 4 -> 4 2 3 0 5 0 3 3 3 4 1 0 3 1 1 5 3 4 ,
  4 5 3 2 2 1 2 1 4 3 1 3 1 3 3 0 2 3 0 1 -> 4 5 3 2 2 1 2 1 4 3 3 1 1 3 3 0 2 3 0 1 ,
  4 0 4 0 3 3 5 2 3 2 2 0 2 0 0 1 1 3 2 2 0 3 1 -> 4 0 4 0 3 3 5 2 3 2 2 2 0 0 0 1 1 3 2 2 0 3 1 ,
  4 0 3 3 5 5 4 2 5 4 5 1 3 1 2 1 2 3 4 4 2 3 5 4 -> 4 0 3 3 5 5 4 2 5 4 5 1 3 1 2 2 1 3 4 4 2 3 5 4 ,
  1 3 5 5 2 5 1 5 5 1 3 1 4 3 1 3 5 3 0 1 1 4 0 3 0 1 4 2 1 -> 1 3 5 5 2 5 1 5 5 1 3 1 4 3 1 3 3 5 0 1 1 4 0 3 0 1 4 2 1 ,
  4 0 4 4 0 1 4 0 2 5 0 3 5 0 1 0 3 2 5 3 3 3 4 5 1 1 3 0 3 3 -> 4 0 4 4 0 1 4 0 2 5 0 3 5 0 1 0 3 5 2 3 3 3 4 5 1 1 3 0 3 3 ,
  0 1 4 5 0 0 1 3 2 1 3 0 1 2 0 5 3 4 1 2 5 5 5 4 0 4 2 2 4 2 -> 0 1 4 5 0 0 3 1 2 1 3 0 1 2 0 5 3 4 1 2 5 5 5 4 0 4 2 2 4 2 }


Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019].

After renaming modulo { (0,0)->0, (0,1)->1, (1,2)->2, (2,3)->3, (3,4)->4, (4,5)->5, (5,4)->6, (5,0)->7, (3,5)->8, (5,5)->9, (4,4)->10, (4,0)->11, (5,1)->12, (4,1)->13, (5,2)->14, (4,2)->15, (5,3)->16, (4,3)->17, (5,7)->18, (4,7)->19, (1,0)->20, (2,0)->21, (3,0)->22, (6,0)->23, (0,2)->24, (2,1)->25, (1,4)->26, (1,1)->27, (1,3)->28, (1,5)->29, (1,7)->30, (2,2)->31, (3,2)->32, (3,1)->33, (0,4)->34, (2,5)->35, (0,5)->36, (2,4)->37, (6,4)->38, (0,3)->39, (3,3)->40, (0,7)->41, (6,1)->42, (3,7)->43, (2,7)->44 },
it remains to prove termination of the 581-rule system
{ 0 1 2 3 4 5 6 5 7 -> 0 1 2 3 8 9 6 10 11 ,
  0 1 2 3 4 5 6 5 12 -> 0 1 2 3 8 9 6 10 13 ,
  0 1 2 3 4 5 6 5 14 -> 0 1 2 3 8 9 6 10 15 ,
  0 1 2 3 4 5 6 5 16 -> 0 1 2 3 8 9 6 10 17 ,
  0 1 2 3 4 5 6 5 6 -> 0 1 2 3 8 9 6 10 10 ,
  0 1 2 3 4 5 6 5 9 -> 0 1 2 3 8 9 6 10 5 ,
  0 1 2 3 4 5 6 5 18 -> 0 1 2 3 8 9 6 10 19 ,
  20 1 2 3 4 5 6 5 7 -> 20 1 2 3 8 9 6 10 11 ,
  20 1 2 3 4 5 6 5 12 -> 20 1 2 3 8 9 6 10 13 ,
  20 1 2 3 4 5 6 5 14 -> 20 1 2 3 8 9 6 10 15 ,
  20 1 2 3 4 5 6 5 16 -> 20 1 2 3 8 9 6 10 17 ,
  20 1 2 3 4 5 6 5 6 -> 20 1 2 3 8 9 6 10 10 ,
  20 1 2 3 4 5 6 5 9 -> 20 1 2 3 8 9 6 10 5 ,
  20 1 2 3 4 5 6 5 18 -> 20 1 2 3 8 9 6 10 19 ,
  21 1 2 3 4 5 6 5 7 -> 21 1 2 3 8 9 6 10 11 ,
  21 1 2 3 4 5 6 5 12 -> 21 1 2 3 8 9 6 10 13 ,
  21 1 2 3 4 5 6 5 14 -> 21 1 2 3 8 9 6 10 15 ,
  21 1 2 3 4 5 6 5 16 -> 21 1 2 3 8 9 6 10 17 ,
  21 1 2 3 4 5 6 5 6 -> 21 1 2 3 8 9 6 10 10 ,
  21 1 2 3 4 5 6 5 9 -> 21 1 2 3 8 9 6 10 5 ,
  21 1 2 3 4 5 6 5 18 -> 21 1 2 3 8 9 6 10 19 ,
  22 1 2 3 4 5 6 5 7 -> 22 1 2 3 8 9 6 10 11 ,
  22 1 2 3 4 5 6 5 12 -> 22 1 2 3 8 9 6 10 13 ,
  22 1 2 3 4 5 6 5 14 -> 22 1 2 3 8 9 6 10 15 ,
  22 1 2 3 4 5 6 5 16 -> 22 1 2 3 8 9 6 10 17 ,
  22 1 2 3 4 5 6 5 6 -> 22 1 2 3 8 9 6 10 10 ,
  22 1 2 3 4 5 6 5 9 -> 22 1 2 3 8 9 6 10 5 ,
  22 1 2 3 4 5 6 5 18 -> 22 1 2 3 8 9 6 10 19 ,
  11 1 2 3 4 5 6 5 7 -> 11 1 2 3 8 9 6 10 11 ,
  11 1 2 3 4 5 6 5 12 -> 11 1 2 3 8 9 6 10 13 ,
  11 1 2 3 4 5 6 5 14 -> 11 1 2 3 8 9 6 10 15 ,
  11 1 2 3 4 5 6 5 16 -> 11 1 2 3 8 9 6 10 17 ,
  11 1 2 3 4 5 6 5 6 -> 11 1 2 3 8 9 6 10 10 ,
  11 1 2 3 4 5 6 5 9 -> 11 1 2 3 8 9 6 10 5 ,
  11 1 2 3 4 5 6 5 18 -> 11 1 2 3 8 9 6 10 19 ,
  7 1 2 3 4 5 6 5 7 -> 7 1 2 3 8 9 6 10 11 ,
  7 1 2 3 4 5 6 5 12 -> 7 1 2 3 8 9 6 10 13 ,
  7 1 2 3 4 5 6 5 14 -> 7 1 2 3 8 9 6 10 15 ,
  7 1 2 3 4 5 6 5 16 -> 7 1 2 3 8 9 6 10 17 ,
  7 1 2 3 4 5 6 5 6 -> 7 1 2 3 8 9 6 10 10 ,
  7 1 2 3 4 5 6 5 9 -> 7 1 2 3 8 9 6 10 5 ,
  7 1 2 3 4 5 6 5 18 -> 7 1 2 3 8 9 6 10 19 ,
  23 1 2 3 4 5 6 5 7 -> 23 1 2 3 8 9 6 10 11 ,
  23 1 2 3 4 5 6 5 12 -> 23 1 2 3 8 9 6 10 13 ,
  23 1 2 3 4 5 6 5 14 -> 23 1 2 3 8 9 6 10 15 ,
  23 1 2 3 4 5 6 5 16 -> 23 1 2 3 8 9 6 10 17 ,
  23 1 2 3 4 5 6 5 6 -> 23 1 2 3 8 9 6 10 10 ,
  23 1 2 3 4 5 6 5 9 -> 23 1 2 3 8 9 6 10 5 ,
  23 1 2 3 4 5 6 5 18 -> 23 1 2 3 8 9 6 10 19 ,
  24 25 20 1 26 5 16 4 13 20 -> 1 27 2 3 8 6 10 11 1 20 ,
  24 25 20 1 26 5 16 4 13 27 -> 1 27 2 3 8 6 10 11 1 27 ,
  24 25 20 1 26 5 16 4 13 2 -> 1 27 2 3 8 6 10 11 1 2 ,
  24 25 20 1 26 5 16 4 13 28 -> 1 27 2 3 8 6 10 11 1 28 ,
  24 25 20 1 26 5 16 4 13 26 -> 1 27 2 3 8 6 10 11 1 26 ,
  24 25 20 1 26 5 16 4 13 29 -> 1 27 2 3 8 6 10 11 1 29 ,
  24 25 20 1 26 5 16 4 13 30 -> 1 27 2 3 8 6 10 11 1 30 ,
  2 25 20 1 26 5 16 4 13 20 -> 27 27 2 3 8 6 10 11 1 20 ,
  2 25 20 1 26 5 16 4 13 27 -> 27 27 2 3 8 6 10 11 1 27 ,
  2 25 20 1 26 5 16 4 13 2 -> 27 27 2 3 8 6 10 11 1 2 ,
  2 25 20 1 26 5 16 4 13 28 -> 27 27 2 3 8 6 10 11 1 28 ,
  2 25 20 1 26 5 16 4 13 26 -> 27 27 2 3 8 6 10 11 1 26 ,
  2 25 20 1 26 5 16 4 13 29 -> 27 27 2 3 8 6 10 11 1 29 ,
  2 25 20 1 26 5 16 4 13 30 -> 27 27 2 3 8 6 10 11 1 30 ,
  31 25 20 1 26 5 16 4 13 20 -> 25 27 2 3 8 6 10 11 1 20 ,
  31 25 20 1 26 5 16 4 13 27 -> 25 27 2 3 8 6 10 11 1 27 ,
  31 25 20 1 26 5 16 4 13 2 -> 25 27 2 3 8 6 10 11 1 2 ,
  31 25 20 1 26 5 16 4 13 28 -> 25 27 2 3 8 6 10 11 1 28 ,
  31 25 20 1 26 5 16 4 13 26 -> 25 27 2 3 8 6 10 11 1 26 ,
  31 25 20 1 26 5 16 4 13 29 -> 25 27 2 3 8 6 10 11 1 29 ,
  31 25 20 1 26 5 16 4 13 30 -> 25 27 2 3 8 6 10 11 1 30 ,
  32 25 20 1 26 5 16 4 13 20 -> 33 27 2 3 8 6 10 11 1 20 ,
  32 25 20 1 26 5 16 4 13 27 -> 33 27 2 3 8 6 10 11 1 27 ,
  32 25 20 1 26 5 16 4 13 2 -> 33 27 2 3 8 6 10 11 1 2 ,
  32 25 20 1 26 5 16 4 13 28 -> 33 27 2 3 8 6 10 11 1 28 ,
  32 25 20 1 26 5 16 4 13 26 -> 33 27 2 3 8 6 10 11 1 26 ,
  32 25 20 1 26 5 16 4 13 29 -> 33 27 2 3 8 6 10 11 1 29 ,
  32 25 20 1 26 5 16 4 13 30 -> 33 27 2 3 8 6 10 11 1 30 ,
  15 25 20 1 26 5 16 4 13 20 -> 13 27 2 3 8 6 10 11 1 20 ,
  15 25 20 1 26 5 16 4 13 27 -> 13 27 2 3 8 6 10 11 1 27 ,
  15 25 20 1 26 5 16 4 13 2 -> 13 27 2 3 8 6 10 11 1 2 ,
  15 25 20 1 26 5 16 4 13 28 -> 13 27 2 3 8 6 10 11 1 28 ,
  15 25 20 1 26 5 16 4 13 26 -> 13 27 2 3 8 6 10 11 1 26 ,
  15 25 20 1 26 5 16 4 13 29 -> 13 27 2 3 8 6 10 11 1 29 ,
  15 25 20 1 26 5 16 4 13 30 -> 13 27 2 3 8 6 10 11 1 30 ,
  14 25 20 1 26 5 16 4 13 20 -> 12 27 2 3 8 6 10 11 1 20 ,
  14 25 20 1 26 5 16 4 13 27 -> 12 27 2 3 8 6 10 11 1 27 ,
  14 25 20 1 26 5 16 4 13 2 -> 12 27 2 3 8 6 10 11 1 2 ,
  14 25 20 1 26 5 16 4 13 28 -> 12 27 2 3 8 6 10 11 1 28 ,
  14 25 20 1 26 5 16 4 13 26 -> 12 27 2 3 8 6 10 11 1 26 ,
  14 25 20 1 26 5 16 4 13 29 -> 12 27 2 3 8 6 10 11 1 29 ,
  14 25 20 1 26 5 16 4 13 30 -> 12 27 2 3 8 6 10 11 1 30 ,
  34 15 35 9 9 7 0 1 27 20 -> 34 15 35 9 7 36 7 1 27 20 ,
  34 15 35 9 9 7 0 1 27 27 -> 34 15 35 9 7 36 7 1 27 27 ,
  34 15 35 9 9 7 0 1 27 2 -> 34 15 35 9 7 36 7 1 27 2 ,
  34 15 35 9 9 7 0 1 27 28 -> 34 15 35 9 7 36 7 1 27 28 ,
  34 15 35 9 9 7 0 1 27 26 -> 34 15 35 9 7 36 7 1 27 26 ,
  34 15 35 9 9 7 0 1 27 29 -> 34 15 35 9 7 36 7 1 27 29 ,
  34 15 35 9 9 7 0 1 27 30 -> 34 15 35 9 7 36 7 1 27 30 ,
  26 15 35 9 9 7 0 1 27 20 -> 26 15 35 9 7 36 7 1 27 20 ,
  26 15 35 9 9 7 0 1 27 27 -> 26 15 35 9 7 36 7 1 27 27 ,
  26 15 35 9 9 7 0 1 27 2 -> 26 15 35 9 7 36 7 1 27 2 ,
  26 15 35 9 9 7 0 1 27 28 -> 26 15 35 9 7 36 7 1 27 28 ,
  26 15 35 9 9 7 0 1 27 26 -> 26 15 35 9 7 36 7 1 27 26 ,
  26 15 35 9 9 7 0 1 27 29 -> 26 15 35 9 7 36 7 1 27 29 ,
  26 15 35 9 9 7 0 1 27 30 -> 26 15 35 9 7 36 7 1 27 30 ,
  37 15 35 9 9 7 0 1 27 20 -> 37 15 35 9 7 36 7 1 27 20 ,
  37 15 35 9 9 7 0 1 27 27 -> 37 15 35 9 7 36 7 1 27 27 ,
  37 15 35 9 9 7 0 1 27 2 -> 37 15 35 9 7 36 7 1 27 2 ,
  37 15 35 9 9 7 0 1 27 28 -> 37 15 35 9 7 36 7 1 27 28 ,
  37 15 35 9 9 7 0 1 27 26 -> 37 15 35 9 7 36 7 1 27 26 ,
  37 15 35 9 9 7 0 1 27 29 -> 37 15 35 9 7 36 7 1 27 29 ,
  37 15 35 9 9 7 0 1 27 30 -> 37 15 35 9 7 36 7 1 27 30 ,
  4 15 35 9 9 7 0 1 27 20 -> 4 15 35 9 7 36 7 1 27 20 ,
  4 15 35 9 9 7 0 1 27 27 -> 4 15 35 9 7 36 7 1 27 27 ,
  4 15 35 9 9 7 0 1 27 2 -> 4 15 35 9 7 36 7 1 27 2 ,
  4 15 35 9 9 7 0 1 27 28 -> 4 15 35 9 7 36 7 1 27 28 ,
  4 15 35 9 9 7 0 1 27 26 -> 4 15 35 9 7 36 7 1 27 26 ,
  4 15 35 9 9 7 0 1 27 29 -> 4 15 35 9 7 36 7 1 27 29 ,
  4 15 35 9 9 7 0 1 27 30 -> 4 15 35 9 7 36 7 1 27 30 ,
  10 15 35 9 9 7 0 1 27 20 -> 10 15 35 9 7 36 7 1 27 20 ,
  10 15 35 9 9 7 0 1 27 27 -> 10 15 35 9 7 36 7 1 27 27 ,
  10 15 35 9 9 7 0 1 27 2 -> 10 15 35 9 7 36 7 1 27 2 ,
  10 15 35 9 9 7 0 1 27 28 -> 10 15 35 9 7 36 7 1 27 28 ,
  10 15 35 9 9 7 0 1 27 26 -> 10 15 35 9 7 36 7 1 27 26 ,
  10 15 35 9 9 7 0 1 27 29 -> 10 15 35 9 7 36 7 1 27 29 ,
  10 15 35 9 9 7 0 1 27 30 -> 10 15 35 9 7 36 7 1 27 30 ,
  6 15 35 9 9 7 0 1 27 20 -> 6 15 35 9 7 36 7 1 27 20 ,
  6 15 35 9 9 7 0 1 27 27 -> 6 15 35 9 7 36 7 1 27 27 ,
  6 15 35 9 9 7 0 1 27 2 -> 6 15 35 9 7 36 7 1 27 2 ,
  6 15 35 9 9 7 0 1 27 28 -> 6 15 35 9 7 36 7 1 27 28 ,
  6 15 35 9 9 7 0 1 27 26 -> 6 15 35 9 7 36 7 1 27 26 ,
  6 15 35 9 9 7 0 1 27 29 -> 6 15 35 9 7 36 7 1 27 29 ,
  6 15 35 9 9 7 0 1 27 30 -> 6 15 35 9 7 36 7 1 27 30 ,
  38 15 35 9 9 7 0 1 27 20 -> 38 15 35 9 7 36 7 1 27 20 ,
  38 15 35 9 9 7 0 1 27 27 -> 38 15 35 9 7 36 7 1 27 27 ,
  38 15 35 9 9 7 0 1 27 2 -> 38 15 35 9 7 36 7 1 27 2 ,
  38 15 35 9 9 7 0 1 27 28 -> 38 15 35 9 7 36 7 1 27 28 ,
  38 15 35 9 9 7 0 1 27 26 -> 38 15 35 9 7 36 7 1 27 26 ,
  38 15 35 9 9 7 0 1 27 29 -> 38 15 35 9 7 36 7 1 27 29 ,
  38 15 35 9 9 7 0 1 27 30 -> 38 15 35 9 7 36 7 1 27 30 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  34 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 34 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  26 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 26 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  37 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 37 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  4 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 4 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  10 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 10 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  6 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 6 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 7 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 7 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 12 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 12 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 14 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 14 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 16 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 16 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 6 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 6 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 9 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 9 ,
  38 13 20 39 33 26 11 34 5 16 8 6 5 18 -> 38 13 20 39 33 20 34 10 5 16 8 6 5 18 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 0 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 0 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 1 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 1 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 24 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 24 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 39 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 39 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 34 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 34 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 36 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 36 ,
  34 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 41 -> 34 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 41 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 0 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 0 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 1 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 1 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 24 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 24 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 39 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 39 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 34 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 34 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 36 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 36 ,
  26 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 41 -> 26 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 41 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 0 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 0 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 1 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 1 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 24 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 24 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 39 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 39 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 34 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 34 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 36 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 36 ,
  37 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 41 -> 37 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 41 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 0 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 0 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 1 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 1 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 24 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 24 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 39 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 39 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 34 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 34 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 36 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 36 ,
  4 10 5 6 17 4 10 11 39 32 35 6 17 40 8 16 22 41 -> 4 10 10 5 6 10 17 22 39 32 35 6 17 40 8 16 22 41 ,
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  1 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 1 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
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  25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 28 -> 25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 28 ,
  25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
  25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 29 -> 25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 29 ,
  25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 30 -> 25 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 30 ,
  33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 20 -> 33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 20 ,
  33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 27 -> 33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 27 ,
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  33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
  33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 29 -> 33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 29 ,
  33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 30 -> 33 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 30 ,
  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 20 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 20 ,
  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 27 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 27 ,
  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 2 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 2 ,
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  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 29 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 29 ,
  13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 30 -> 13 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 30 ,
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  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 27 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 27 ,
  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 2 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 2 ,
  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 28 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 28 ,
  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 29 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 29 ,
  12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 30 -> 12 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 30 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 20 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 20 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 27 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 27 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 2 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 2 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 28 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 28 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 26 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 26 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 29 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 29 ,
  42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 8 16 22 1 27 26 11 39 22 1 26 15 25 30 -> 42 28 8 9 14 35 12 29 9 12 28 33 26 17 33 28 40 8 7 1 27 26 11 39 22 1 26 15 25 30 ,
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  34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 34 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
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  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 26 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 37 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 4 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 10 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 6 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 22 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 22 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 33 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 33 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 32 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 32 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 40 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 40 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 4 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 4 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 8 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 8 ,
  38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 32 35 16 40 40 4 5 12 27 28 22 39 40 43 -> 38 11 34 10 11 1 26 11 24 35 7 39 8 7 1 20 39 8 14 3 40 40 4 5 12 27 28 22 39 40 43 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  0 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 0 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  20 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 20 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  21 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 21 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  22 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 22 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  11 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 11 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  7 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 7 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 21 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 25 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 31 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 3 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 37 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 35 ,
  23 1 26 5 7 0 1 28 32 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 -> 23 1 26 5 7 0 39 33 2 25 28 22 1 2 21 36 16 4 13 2 35 9 9 6 11 34 15 31 37 15 44 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
15 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
16 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
17 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
18 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
19 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
20 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
21 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
22 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
23 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
24 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
25 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
26 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
27 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
28 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
29 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
30 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
31 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
32 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
33 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
34 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
35 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
36 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
37 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
38 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
39 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
40 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
41 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
42 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
43 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
44 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 34->0, 11->1, 39->2, 40->3, 8->4, 14->5, 3->6, 32->7, 31->8, 21->9, 24->10, 0->11, 1->12, 27->13, 28->14, 33->15, 20->16, 2->17, 26->18, 29->19, 30->20, 37->21, 4->22, 10->23, 6->24, 38->25, 9->26, 15->27, 35->28, 5->29, 12->30, 25->31, 13->32, 17->33, 19->34 }, 
it remains to prove termination of the 98-rule system
{ 0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  0 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 0 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  18 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 18 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  21 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 21 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  22 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 22 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  23 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 23 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  24 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 24 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 16 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 16 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 13 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 13 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 17 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 17 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 14 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 14 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 18 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 18 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 19 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 19 ,
  25 1 0 1 2 3 4 5 6 7 8 9 10 9 11 12 13 14 7 8 9 2 15 20 -> 25 1 0 1 2 3 4 5 6 7 8 8 9 11 11 12 13 14 7 8 9 2 15 20 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 0 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 18 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 21 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 22 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 23 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 24 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 1 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 1 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 32 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 32 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 27 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 27 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 33 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 33 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 23 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 23 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 29 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 29 ,
  25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 31 17 6 22 23 27 6 4 24 34 -> 25 1 2 3 4 26 24 27 28 24 29 30 14 15 17 8 31 14 22 23 27 6 4 24 34 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
15 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
16 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
17 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
18 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
19 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
20 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
21 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
22 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
23 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
24 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
25 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
26 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
27 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
28 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
29 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
30 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
31 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
32 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
33 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
34 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo {  }, 
it remains to prove termination of the 0-rule system
{ }

The system is trivially terminating.