/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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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 }


Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019].

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


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 0 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 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 0 |
| 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 1 |
| 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 0 |
| 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 1 |
| 0 1 |
 \   /
30 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
31 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
32 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
33 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
34 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
35 is interpreted by
 /   \
| 1 0 |
| 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 { 24->0, 29->1, 39->2, 12->3, 30->4, 28->5, 32->6, 27->7, 6->8, 14->9, 31->10, 4->11, 18->12, 9->13, 40->14, 10->15, 37->16, 2->17, 8->18, 3->19, 36->20, 25->21, 38->22, 5->23, 13->24, 33->25, 1->26, 19->27, 26->28, 20->29, 34->30, 0->31, 17->32, 21->33, 23->34 }, 
it remains to prove termination of the 98-rule system
{ 0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  0 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 0 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  21 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 21 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  6 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 6 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  23 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 23 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  7 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 7 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  24 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 24 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 17 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 17 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 18 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 18 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 19 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 19 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 20 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 20 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 21 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 21 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 16 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 16 ,
  25 1 2 3 4 5 6 7 8 9 3 10 3 4 5 11 12 13 14 2 15 16 15 22 -> 25 1 2 3 4 5 6 7 8 9 9 3 4 4 5 11 12 13 14 2 15 16 15 22 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  26 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 26 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  18 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 18 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  32 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 32 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  27 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 27 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  33 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 33 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  15 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 15 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 17 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 18 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 19 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 20 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 21 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 16 ,
  34 17 13 11 27 18 19 11 23 28 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 -> 34 17 13 11 27 18 19 6 28 4 23 1 6 29 26 17 30 27 17 31 13 14 2 15 22 }


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 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 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 0 |
| 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 1 |
| 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.