YES

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


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

After renaming modulo { (0,0)->0, (0,1)->1, (1,1)->2, (1,0)->3, (1,2)->4, (2,0)->5, (0,2)->6, (1,4)->7, (0,4)->8, (2,1)->9, (3,0)->10, (3,1)->11, (2,2)->12, (2,4)->13, (3,2)->14 },
it remains to prove termination of the 704-rule system
{ 0 0 0 1 2 3 0 0 0 1 4 5 1 3 -> 1 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 0 ,
  0 0 0 1 2 3 0 0 0 1 4 5 1 2 -> 1 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 1 ,
  0 0 0 1 2 3 0 0 0 1 4 5 1 4 -> 1 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 6 ,
  0 0 0 1 2 3 0 0 0 1 4 5 1 7 -> 1 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 8 ,
  3 0 0 1 2 3 0 0 0 1 4 5 1 3 -> 2 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 0 ,
  3 0 0 1 2 3 0 0 0 1 4 5 1 2 -> 2 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 1 ,
  3 0 0 1 2 3 0 0 0 1 4 5 1 4 -> 2 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 6 ,
  3 0 0 1 2 3 0 0 0 1 4 5 1 7 -> 2 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 8 ,
  5 0 0 1 2 3 0 0 0 1 4 5 1 3 -> 9 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 0 ,
  5 0 0 1 2 3 0 0 0 1 4 5 1 2 -> 9 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 1 ,
  5 0 0 1 2 3 0 0 0 1 4 5 1 4 -> 9 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 6 ,
  5 0 0 1 2 3 0 0 0 1 4 5 1 7 -> 9 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 8 ,
  10 0 0 1 2 3 0 0 0 1 4 5 1 3 -> 11 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 0 ,
  10 0 0 1 2 3 0 0 0 1 4 5 1 2 -> 11 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 1 ,
  10 0 0 1 2 3 0 0 0 1 4 5 1 4 -> 11 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 6 ,
  10 0 0 1 2 3 0 0 0 1 4 5 1 7 -> 11 2 2 2 3 0 0 1 3 0 1 2 3 1 2 3 0 8 ,
  0 0 0 1 2 4 12 9 2 3 0 1 2 3 -> 0 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 0 ,
  0 0 0 1 2 4 12 9 2 3 0 1 2 2 -> 0 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 1 ,
  0 0 0 1 2 4 12 9 2 3 0 1 2 4 -> 0 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 6 ,
  0 0 0 1 2 4 12 9 2 3 0 1 2 7 -> 0 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 8 ,
  3 0 0 1 2 4 12 9 2 3 0 1 2 3 -> 3 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 0 ,
  3 0 0 1 2 4 12 9 2 3 0 1 2 2 -> 3 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 1 ,
  3 0 0 1 2 4 12 9 2 3 0 1 2 4 -> 3 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 6 ,
  3 0 0 1 2 4 12 9 2 3 0 1 2 7 -> 3 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 8 ,
  5 0 0 1 2 4 12 9 2 3 0 1 2 3 -> 5 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 0 ,
  5 0 0 1 2 4 12 9 2 3 0 1 2 2 -> 5 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 1 ,
  5 0 0 1 2 4 12 9 2 3 0 1 2 4 -> 5 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 6 ,
  5 0 0 1 2 4 12 9 2 3 0 1 2 7 -> 5 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 8 ,
  10 0 0 1 2 4 12 9 2 3 0 1 2 3 -> 10 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 0 ,
  10 0 0 1 2 4 12 9 2 3 0 1 2 2 -> 10 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 1 ,
  10 0 0 1 2 4 12 9 2 3 0 1 2 4 -> 10 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 6 ,
  10 0 0 1 2 4 12 9 2 3 0 1 2 7 -> 10 1 2 3 6 5 0 0 1 3 1 2 3 0 0 1 3 8 ,
  0 1 3 0 6 9 3 0 1 3 0 1 3 0 -> 0 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 0 ,
  0 1 3 0 6 9 3 0 1 3 0 1 3 1 -> 0 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 1 ,
  0 1 3 0 6 9 3 0 1 3 0 1 3 6 -> 0 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 6 ,
  0 1 3 0 6 9 3 0 1 3 0 1 3 8 -> 0 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 8 ,
  3 1 3 0 6 9 3 0 1 3 0 1 3 0 -> 3 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 0 ,
  3 1 3 0 6 9 3 0 1 3 0 1 3 1 -> 3 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 1 ,
  3 1 3 0 6 9 3 0 1 3 0 1 3 6 -> 3 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 6 ,
  3 1 3 0 6 9 3 0 1 3 0 1 3 8 -> 3 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 8 ,
  5 1 3 0 6 9 3 0 1 3 0 1 3 0 -> 5 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 0 ,
  5 1 3 0 6 9 3 0 1 3 0 1 3 1 -> 5 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 1 ,
  5 1 3 0 6 9 3 0 1 3 0 1 3 6 -> 5 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 6 ,
  5 1 3 0 6 9 3 0 1 3 0 1 3 8 -> 5 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 8 ,
  10 1 3 0 6 9 3 0 1 3 0 1 3 0 -> 10 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 0 ,
  10 1 3 0 6 9 3 0 1 3 0 1 3 1 -> 10 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 1 ,
  10 1 3 0 6 9 3 0 1 3 0 1 3 6 -> 10 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 6 ,
  10 1 3 0 6 9 3 0 1 3 0 1 3 8 -> 10 1 2 3 0 0 1 2 3 1 3 0 1 2 2 3 0 8 ,
  0 1 3 1 2 3 0 0 0 6 5 1 4 5 -> 1 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 5 ,
  0 1 3 1 2 3 0 0 0 6 5 1 4 9 -> 1 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 9 ,
  0 1 3 1 2 3 0 0 0 6 5 1 4 12 -> 1 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 12 ,
  0 1 3 1 2 3 0 0 0 6 5 1 4 13 -> 1 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 13 ,
  3 1 3 1 2 3 0 0 0 6 5 1 4 5 -> 2 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 5 ,
  3 1 3 1 2 3 0 0 0 6 5 1 4 9 -> 2 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 9 ,
  3 1 3 1 2 3 0 0 0 6 5 1 4 12 -> 2 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 12 ,
  3 1 3 1 2 3 0 0 0 6 5 1 4 13 -> 2 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 13 ,
  5 1 3 1 2 3 0 0 0 6 5 1 4 5 -> 9 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 5 ,
  5 1 3 1 2 3 0 0 0 6 5 1 4 9 -> 9 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 9 ,
  5 1 3 1 2 3 0 0 0 6 5 1 4 12 -> 9 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 12 ,
  5 1 3 1 2 3 0 0 0 6 5 1 4 13 -> 9 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 13 ,
  10 1 3 1 2 3 0 0 0 6 5 1 4 5 -> 11 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 5 ,
  10 1 3 1 2 3 0 0 0 6 5 1 4 9 -> 11 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 9 ,
  10 1 3 1 2 3 0 0 0 6 5 1 4 12 -> 11 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 12 ,
  10 1 3 1 2 3 0 0 0 6 5 1 4 13 -> 11 2 2 3 0 0 1 3 1 2 3 1 2 2 3 0 6 13 ,
  0 1 3 1 2 3 6 9 3 1 3 0 0 0 -> 0 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 0 ,
  0 1 3 1 2 3 6 9 3 1 3 0 0 1 -> 0 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 1 ,
  0 1 3 1 2 3 6 9 3 1 3 0 0 6 -> 0 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 6 ,
  0 1 3 1 2 3 6 9 3 1 3 0 0 8 -> 0 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 8 ,
  3 1 3 1 2 3 6 9 3 1 3 0 0 0 -> 3 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 0 ,
  3 1 3 1 2 3 6 9 3 1 3 0 0 1 -> 3 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 1 ,
  3 1 3 1 2 3 6 9 3 1 3 0 0 6 -> 3 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 6 ,
  3 1 3 1 2 3 6 9 3 1 3 0 0 8 -> 3 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 8 ,
  5 1 3 1 2 3 6 9 3 1 3 0 0 0 -> 5 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 0 ,
  5 1 3 1 2 3 6 9 3 1 3 0 0 1 -> 5 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 1 ,
  5 1 3 1 2 3 6 9 3 1 3 0 0 6 -> 5 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 6 ,
  5 1 3 1 2 3 6 9 3 1 3 0 0 8 -> 5 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 8 ,
  10 1 3 1 2 3 6 9 3 1 3 0 0 0 -> 10 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 0 ,
  10 1 3 1 2 3 6 9 3 1 3 0 0 1 -> 10 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 1 ,
  10 1 3 1 2 3 6 9 3 1 3 0 0 6 -> 10 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 6 ,
  10 1 3 1 2 3 6 9 3 1 3 0 0 8 -> 10 1 2 3 1 2 3 0 1 3 0 1 3 1 2 2 3 8 ,
  0 1 2 3 0 1 3 6 5 0 0 6 9 3 -> 0 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 3 ,
  0 1 2 3 0 1 3 6 5 0 0 6 9 2 -> 0 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 2 ,
  0 1 2 3 0 1 3 6 5 0 0 6 9 4 -> 0 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 4 ,
  0 1 2 3 0 1 3 6 5 0 0 6 9 7 -> 0 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 7 ,
  3 1 2 3 0 1 3 6 5 0 0 6 9 3 -> 3 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 3 ,
  3 1 2 3 0 1 3 6 5 0 0 6 9 2 -> 3 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 2 ,
  3 1 2 3 0 1 3 6 5 0 0 6 9 4 -> 3 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 4 ,
  3 1 2 3 0 1 3 6 5 0 0 6 9 7 -> 3 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 7 ,
  5 1 2 3 0 1 3 6 5 0 0 6 9 3 -> 5 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 3 ,
  5 1 2 3 0 1 3 6 5 0 0 6 9 2 -> 5 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 2 ,
  5 1 2 3 0 1 3 6 5 0 0 6 9 4 -> 5 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 4 ,
  5 1 2 3 0 1 3 6 5 0 0 6 9 7 -> 5 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 7 ,
  10 1 2 3 0 1 3 6 5 0 0 6 9 3 -> 10 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 3 ,
  10 1 2 3 0 1 3 6 5 0 0 6 9 2 -> 10 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 2 ,
  10 1 2 3 0 1 3 6 5 0 0 6 9 4 -> 10 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 4 ,
  10 1 2 3 0 1 3 6 5 0 0 6 9 7 -> 10 0 1 2 3 1 3 1 2 3 0 1 2 4 9 2 2 7 ,
  0 1 4 9 3 0 0 0 0 6 9 2 2 3 -> 0 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 3 ,
  0 1 4 9 3 0 0 0 0 6 9 2 2 2 -> 0 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 2 ,
  0 1 4 9 3 0 0 0 0 6 9 2 2 4 -> 0 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 4 ,
  0 1 4 9 3 0 0 0 0 6 9 2 2 7 -> 0 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 7 ,
  3 1 4 9 3 0 0 0 0 6 9 2 2 3 -> 3 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 3 ,
  3 1 4 9 3 0 0 0 0 6 9 2 2 2 -> 3 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 2 ,
  3 1 4 9 3 0 0 0 0 6 9 2 2 4 -> 3 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 4 ,
  3 1 4 9 3 0 0 0 0 6 9 2 2 7 -> 3 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 7 ,
  5 1 4 9 3 0 0 0 0 6 9 2 2 3 -> 5 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 3 ,
  5 1 4 9 3 0 0 0 0 6 9 2 2 2 -> 5 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 2 ,
  5 1 4 9 3 0 0 0 0 6 9 2 2 4 -> 5 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 4 ,
  5 1 4 9 3 0 0 0 0 6 9 2 2 7 -> 5 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 7 ,
  10 1 4 9 3 0 0 0 0 6 9 2 2 3 -> 10 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 3 ,
  10 1 4 9 3 0 0 0 0 6 9 2 2 2 -> 10 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 2 ,
  10 1 4 9 3 0 0 0 0 6 9 2 2 4 -> 10 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 4 ,
  10 1 4 9 3 0 0 0 0 6 9 2 2 7 -> 10 1 3 1 2 4 5 1 3 0 0 1 2 3 0 0 1 7 ,
  0 6 5 0 6 9 3 0 0 0 0 0 1 3 -> 1 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 3 ,
  0 6 5 0 6 9 3 0 0 0 0 0 1 2 -> 1 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 2 ,
  0 6 5 0 6 9 3 0 0 0 0 0 1 4 -> 1 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 4 ,
  0 6 5 0 6 9 3 0 0 0 0 0 1 7 -> 1 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 7 ,
  3 6 5 0 6 9 3 0 0 0 0 0 1 3 -> 2 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 3 ,
  3 6 5 0 6 9 3 0 0 0 0 0 1 2 -> 2 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 2 ,
  3 6 5 0 6 9 3 0 0 0 0 0 1 4 -> 2 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 4 ,
  3 6 5 0 6 9 3 0 0 0 0 0 1 7 -> 2 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 7 ,
  5 6 5 0 6 9 3 0 0 0 0 0 1 3 -> 9 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 3 ,
  5 6 5 0 6 9 3 0 0 0 0 0 1 2 -> 9 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 2 ,
  5 6 5 0 6 9 3 0 0 0 0 0 1 4 -> 9 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 4 ,
  5 6 5 0 6 9 3 0 0 0 0 0 1 7 -> 9 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 7 ,
  10 6 5 0 6 9 3 0 0 0 0 0 1 3 -> 11 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 3 ,
  10 6 5 0 6 9 3 0 0 0 0 0 1 2 -> 11 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 2 ,
  10 6 5 0 6 9 3 0 0 0 0 0 1 4 -> 11 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 4 ,
  10 6 5 0 6 9 3 0 0 0 0 0 1 7 -> 11 3 0 1 3 1 2 2 3 0 0 1 3 0 0 0 1 7 ,
  0 6 9 3 1 4 9 4 12 5 1 2 2 3 -> 0 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 3 ,
  0 6 9 3 1 4 9 4 12 5 1 2 2 2 -> 0 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 2 ,
  0 6 9 3 1 4 9 4 12 5 1 2 2 4 -> 0 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 4 ,
  0 6 9 3 1 4 9 4 12 5 1 2 2 7 -> 0 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 7 ,
  3 6 9 3 1 4 9 4 12 5 1 2 2 3 -> 3 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 3 ,
  3 6 9 3 1 4 9 4 12 5 1 2 2 2 -> 3 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 2 ,
  3 6 9 3 1 4 9 4 12 5 1 2 2 4 -> 3 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 4 ,
  3 6 9 3 1 4 9 4 12 5 1 2 2 7 -> 3 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 7 ,
  5 6 9 3 1 4 9 4 12 5 1 2 2 3 -> 5 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 3 ,
  5 6 9 3 1 4 9 4 12 5 1 2 2 2 -> 5 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 2 ,
  5 6 9 3 1 4 9 4 12 5 1 2 2 4 -> 5 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 4 ,
  5 6 9 3 1 4 9 4 12 5 1 2 2 7 -> 5 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 7 ,
  10 6 9 3 1 4 9 4 12 5 1 2 2 3 -> 10 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 3 ,
  10 6 9 3 1 4 9 4 12 5 1 2 2 2 -> 10 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 2 ,
  10 6 9 3 1 4 9 4 12 5 1 2 2 4 -> 10 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 4 ,
  10 6 9 3 1 4 9 4 12 5 1 2 2 7 -> 10 6 9 2 3 0 6 9 2 3 0 1 4 9 2 2 2 7 ,
  0 6 9 3 6 9 3 1 4 5 0 0 1 3 -> 0 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 0 ,
  0 6 9 3 6 9 3 1 4 5 0 0 1 2 -> 0 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 1 ,
  0 6 9 3 6 9 3 1 4 5 0 0 1 4 -> 0 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 6 ,
  0 6 9 3 6 9 3 1 4 5 0 0 1 7 -> 0 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 8 ,
  3 6 9 3 6 9 3 1 4 5 0 0 1 3 -> 3 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 0 ,
  3 6 9 3 6 9 3 1 4 5 0 0 1 2 -> 3 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 1 ,
  3 6 9 3 6 9 3 1 4 5 0 0 1 4 -> 3 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 6 ,
  3 6 9 3 6 9 3 1 4 5 0 0 1 7 -> 3 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 8 ,
  5 6 9 3 6 9 3 1 4 5 0 0 1 3 -> 5 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 0 ,
  5 6 9 3 6 9 3 1 4 5 0 0 1 2 -> 5 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 1 ,
  5 6 9 3 6 9 3 1 4 5 0 0 1 4 -> 5 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 6 ,
  5 6 9 3 6 9 3 1 4 5 0 0 1 7 -> 5 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 8 ,
  10 6 9 3 6 9 3 1 4 5 0 0 1 3 -> 10 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 0 ,
  10 6 9 3 6 9 3 1 4 5 0 0 1 2 -> 10 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 1 ,
  10 6 9 3 6 9 3 1 4 5 0 0 1 4 -> 10 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 6 ,
  10 6 9 3 6 9 3 1 4 5 0 0 1 7 -> 10 0 6 9 2 2 2 3 0 1 3 6 5 0 0 1 3 8 ,
  0 6 9 2 3 0 0 0 6 9 3 1 2 3 -> 0 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 0 ,
  0 6 9 2 3 0 0 0 6 9 3 1 2 2 -> 0 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 1 ,
  0 6 9 2 3 0 0 0 6 9 3 1 2 4 -> 0 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 6 ,
  0 6 9 2 3 0 0 0 6 9 3 1 2 7 -> 0 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 8 ,
  3 6 9 2 3 0 0 0 6 9 3 1 2 3 -> 3 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 0 ,
  3 6 9 2 3 0 0 0 6 9 3 1 2 2 -> 3 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 1 ,
  3 6 9 2 3 0 0 0 6 9 3 1 2 4 -> 3 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 6 ,
  3 6 9 2 3 0 0 0 6 9 3 1 2 7 -> 3 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 8 ,
  5 6 9 2 3 0 0 0 6 9 3 1 2 3 -> 5 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 0 ,
  5 6 9 2 3 0 0 0 6 9 3 1 2 2 -> 5 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 1 ,
  5 6 9 2 3 0 0 0 6 9 3 1 2 4 -> 5 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 6 ,
  5 6 9 2 3 0 0 0 6 9 3 1 2 7 -> 5 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 8 ,
  10 6 9 2 3 0 0 0 6 9 3 1 2 3 -> 10 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 0 ,
  10 6 9 2 3 0 0 0 6 9 3 1 2 2 -> 10 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 1 ,
  10 6 9 2 3 0 0 0 6 9 3 1 2 4 -> 10 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 6 ,
  10 6 9 2 3 0 0 0 6 9 3 1 2 7 -> 10 0 1 3 1 3 1 3 6 9 2 2 3 0 0 0 0 8 ,
  0 6 12 5 0 1 2 3 1 3 1 3 1 3 -> 0 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 0 ,
  0 6 12 5 0 1 2 3 1 3 1 3 1 2 -> 0 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 1 ,
  0 6 12 5 0 1 2 3 1 3 1 3 1 4 -> 0 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 6 ,
  0 6 12 5 0 1 2 3 1 3 1 3 1 7 -> 0 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 8 ,
  3 6 12 5 0 1 2 3 1 3 1 3 1 3 -> 3 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 0 ,
  3 6 12 5 0 1 2 3 1 3 1 3 1 2 -> 3 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 1 ,
  3 6 12 5 0 1 2 3 1 3 1 3 1 4 -> 3 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 6 ,
  3 6 12 5 0 1 2 3 1 3 1 3 1 7 -> 3 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 8 ,
  5 6 12 5 0 1 2 3 1 3 1 3 1 3 -> 5 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 0 ,
  5 6 12 5 0 1 2 3 1 3 1 3 1 2 -> 5 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 1 ,
  5 6 12 5 0 1 2 3 1 3 1 3 1 4 -> 5 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 6 ,
  5 6 12 5 0 1 2 3 1 3 1 3 1 7 -> 5 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 8 ,
  10 6 12 5 0 1 2 3 1 3 1 3 1 3 -> 10 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 0 ,
  10 6 12 5 0 1 2 3 1 3 1 3 1 2 -> 10 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 1 ,
  10 6 12 5 0 1 2 3 1 3 1 3 1 4 -> 10 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 6 ,
  10 6 12 5 0 1 2 3 1 3 1 3 1 7 -> 10 0 6 9 3 0 0 1 2 3 1 2 3 1 2 3 0 8 ,
  1 3 0 0 0 1 2 2 3 0 6 9 2 3 -> 1 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 0 ,
  1 3 0 0 0 1 2 2 3 0 6 9 2 2 -> 1 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 1 ,
  1 3 0 0 0 1 2 2 3 0 6 9 2 4 -> 1 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 6 ,
  1 3 0 0 0 1 2 2 3 0 6 9 2 7 -> 1 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 8 ,
  2 3 0 0 0 1 2 2 3 0 6 9 2 3 -> 2 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 0 ,
  2 3 0 0 0 1 2 2 3 0 6 9 2 2 -> 2 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 1 ,
  2 3 0 0 0 1 2 2 3 0 6 9 2 4 -> 2 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 6 ,
  2 3 0 0 0 1 2 2 3 0 6 9 2 7 -> 2 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 8 ,
  9 3 0 0 0 1 2 2 3 0 6 9 2 3 -> 9 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 0 ,
  9 3 0 0 0 1 2 2 3 0 6 9 2 2 -> 9 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 1 ,
  9 3 0 0 0 1 2 2 3 0 6 9 2 4 -> 9 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 6 ,
  9 3 0 0 0 1 2 2 3 0 6 9 2 7 -> 9 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 8 ,
  11 3 0 0 0 1 2 2 3 0 6 9 2 3 -> 11 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 0 ,
  11 3 0 0 0 1 2 2 3 0 6 9 2 2 -> 11 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 1 ,
  11 3 0 0 0 1 2 2 3 0 6 9 2 4 -> 11 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 6 ,
  11 3 0 0 0 1 2 2 3 0 6 9 2 7 -> 11 2 2 2 2 2 2 2 2 2 3 1 2 3 1 3 0 8 ,
  1 3 0 0 1 2 2 4 5 0 1 3 6 5 -> 0 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 5 ,
  1 3 0 0 1 2 2 4 5 0 1 3 6 9 -> 0 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 9 ,
  1 3 0 0 1 2 2 4 5 0 1 3 6 12 -> 0 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 12 ,
  1 3 0 0 1 2 2 4 5 0 1 3 6 13 -> 0 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 13 ,
  2 3 0 0 1 2 2 4 5 0 1 3 6 5 -> 3 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 5 ,
  2 3 0 0 1 2 2 4 5 0 1 3 6 9 -> 3 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 9 ,
  2 3 0 0 1 2 2 4 5 0 1 3 6 12 -> 3 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 12 ,
  2 3 0 0 1 2 2 4 5 0 1 3 6 13 -> 3 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 13 ,
  9 3 0 0 1 2 2 4 5 0 1 3 6 5 -> 5 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 5 ,
  9 3 0 0 1 2 2 4 5 0 1 3 6 9 -> 5 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 9 ,
  9 3 0 0 1 2 2 4 5 0 1 3 6 12 -> 5 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 12 ,
  9 3 0 0 1 2 2 4 5 0 1 3 6 13 -> 5 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 13 ,
  11 3 0 0 1 2 2 4 5 0 1 3 6 5 -> 10 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 5 ,
  11 3 0 0 1 2 2 4 5 0 1 3 6 9 -> 10 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 9 ,
  11 3 0 0 1 2 2 4 5 0 1 3 6 12 -> 10 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 12 ,
  11 3 0 0 1 2 2 4 5 0 1 3 6 13 -> 10 1 2 3 1 3 0 1 3 0 0 0 0 6 5 1 4 13 ,
  1 3 0 0 1 4 5 1 3 0 0 1 3 0 -> 1 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 3 ,
  1 3 0 0 1 4 5 1 3 0 0 1 3 1 -> 1 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 2 ,
  1 3 0 0 1 4 5 1 3 0 0 1 3 6 -> 1 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 4 ,
  1 3 0 0 1 4 5 1 3 0 0 1 3 8 -> 1 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 7 ,
  2 3 0 0 1 4 5 1 3 0 0 1 3 0 -> 2 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 3 ,
  2 3 0 0 1 4 5 1 3 0 0 1 3 1 -> 2 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 2 ,
  2 3 0 0 1 4 5 1 3 0 0 1 3 6 -> 2 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 4 ,
  2 3 0 0 1 4 5 1 3 0 0 1 3 8 -> 2 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 7 ,
  9 3 0 0 1 4 5 1 3 0 0 1 3 0 -> 9 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 3 ,
  9 3 0 0 1 4 5 1 3 0 0 1 3 1 -> 9 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 2 ,
  9 3 0 0 1 4 5 1 3 0 0 1 3 6 -> 9 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 4 ,
  9 3 0 0 1 4 5 1 3 0 0 1 3 8 -> 9 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 7 ,
  11 3 0 0 1 4 5 1 3 0 0 1 3 0 -> 11 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 3 ,
  11 3 0 0 1 4 5 1 3 0 0 1 3 1 -> 11 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 2 ,
  11 3 0 0 1 4 5 1 3 0 0 1 3 6 -> 11 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 4 ,
  11 3 0 0 1 4 5 1 3 0 0 1 3 8 -> 11 2 2 3 0 0 1 2 3 1 2 3 1 2 2 3 1 7 ,
  1 3 0 0 6 9 3 0 6 5 1 3 1 3 -> 6 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 0 ,
  1 3 0 0 6 9 3 0 6 5 1 3 1 2 -> 6 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 1 ,
  1 3 0 0 6 9 3 0 6 5 1 3 1 4 -> 6 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 6 ,
  1 3 0 0 6 9 3 0 6 5 1 3 1 7 -> 6 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 8 ,
  2 3 0 0 6 9 3 0 6 5 1 3 1 3 -> 4 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 0 ,
  2 3 0 0 6 9 3 0 6 5 1 3 1 2 -> 4 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 1 ,
  2 3 0 0 6 9 3 0 6 5 1 3 1 4 -> 4 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 6 ,
  2 3 0 0 6 9 3 0 6 5 1 3 1 7 -> 4 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 8 ,
  9 3 0 0 6 9 3 0 6 5 1 3 1 3 -> 12 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 0 ,
  9 3 0 0 6 9 3 0 6 5 1 3 1 2 -> 12 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 1 ,
  9 3 0 0 6 9 3 0 6 5 1 3 1 4 -> 12 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 6 ,
  9 3 0 0 6 9 3 0 6 5 1 3 1 7 -> 12 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 8 ,
  11 3 0 0 6 9 3 0 6 5 1 3 1 3 -> 14 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 0 ,
  11 3 0 0 6 9 3 0 6 5 1 3 1 2 -> 14 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 1 ,
  11 3 0 0 6 9 3 0 6 5 1 3 1 4 -> 14 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 6 ,
  11 3 0 0 6 9 3 0 6 5 1 3 1 7 -> 14 9 3 0 1 2 3 1 3 0 0 0 0 1 3 0 0 8 ,
  1 3 0 1 3 1 4 9 3 6 9 2 3 0 -> 0 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 0 ,
  1 3 0 1 3 1 4 9 3 6 9 2 3 1 -> 0 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 1 ,
  1 3 0 1 3 1 4 9 3 6 9 2 3 6 -> 0 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 6 ,
  1 3 0 1 3 1 4 9 3 6 9 2 3 8 -> 0 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 8 ,
  2 3 0 1 3 1 4 9 3 6 9 2 3 0 -> 3 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 0 ,
  2 3 0 1 3 1 4 9 3 6 9 2 3 1 -> 3 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 1 ,
  2 3 0 1 3 1 4 9 3 6 9 2 3 6 -> 3 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 6 ,
  2 3 0 1 3 1 4 9 3 6 9 2 3 8 -> 3 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 8 ,
  9 3 0 1 3 1 4 9 3 6 9 2 3 0 -> 5 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 0 ,
  9 3 0 1 3 1 4 9 3 6 9 2 3 1 -> 5 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 1 ,
  9 3 0 1 3 1 4 9 3 6 9 2 3 6 -> 5 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 6 ,
  9 3 0 1 3 1 4 9 3 6 9 2 3 8 -> 5 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 8 ,
  11 3 0 1 3 1 4 9 3 6 9 2 3 0 -> 10 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 0 ,
  11 3 0 1 3 1 4 9 3 6 9 2 3 1 -> 10 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 1 ,
  11 3 0 1 3 1 4 9 3 6 9 2 3 6 -> 10 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 6 ,
  11 3 0 1 3 1 4 9 3 6 9 2 3 8 -> 10 1 2 2 3 0 0 0 0 6 9 2 2 2 2 2 3 8 ,
  1 3 0 1 3 6 9 2 3 1 2 3 1 3 -> 1 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 3 ,
  1 3 0 1 3 6 9 2 3 1 2 3 1 2 -> 1 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 2 ,
  1 3 0 1 3 6 9 2 3 1 2 3 1 4 -> 1 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 4 ,
  1 3 0 1 3 6 9 2 3 1 2 3 1 7 -> 1 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 7 ,
  2 3 0 1 3 6 9 2 3 1 2 3 1 3 -> 2 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 3 ,
  2 3 0 1 3 6 9 2 3 1 2 3 1 2 -> 2 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 2 ,
  2 3 0 1 3 6 9 2 3 1 2 3 1 4 -> 2 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 4 ,
  2 3 0 1 3 6 9 2 3 1 2 3 1 7 -> 2 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 7 ,
  9 3 0 1 3 6 9 2 3 1 2 3 1 3 -> 9 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 3 ,
  9 3 0 1 3 6 9 2 3 1 2 3 1 2 -> 9 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 2 ,
  9 3 0 1 3 6 9 2 3 1 2 3 1 4 -> 9 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 4 ,
  9 3 0 1 3 6 9 2 3 1 2 3 1 7 -> 9 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 7 ,
  11 3 0 1 3 6 9 2 3 1 2 3 1 3 -> 11 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 3 ,
  11 3 0 1 3 6 9 2 3 1 2 3 1 2 -> 11 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 2 ,
  11 3 0 1 3 6 9 2 3 1 2 3 1 4 -> 11 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 4 ,
  11 3 0 1 3 6 9 2 3 1 2 3 1 7 -> 11 2 2 2 3 0 1 3 1 3 1 2 2 3 0 1 2 7 ,
  1 3 0 1 4 5 0 0 6 12 9 2 4 5 -> 1 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 5 ,
  1 3 0 1 4 5 0 0 6 12 9 2 4 9 -> 1 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 9 ,
  1 3 0 1 4 5 0 0 6 12 9 2 4 12 -> 1 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 12 ,
  1 3 0 1 4 5 0 0 6 12 9 2 4 13 -> 1 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 13 ,
  2 3 0 1 4 5 0 0 6 12 9 2 4 5 -> 2 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 5 ,
  2 3 0 1 4 5 0 0 6 12 9 2 4 9 -> 2 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 9 ,
  2 3 0 1 4 5 0 0 6 12 9 2 4 12 -> 2 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 12 ,
  2 3 0 1 4 5 0 0 6 12 9 2 4 13 -> 2 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 13 ,
  9 3 0 1 4 5 0 0 6 12 9 2 4 5 -> 9 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 5 ,
  9 3 0 1 4 5 0 0 6 12 9 2 4 9 -> 9 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 9 ,
  9 3 0 1 4 5 0 0 6 12 9 2 4 12 -> 9 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 12 ,
  9 3 0 1 4 5 0 0 6 12 9 2 4 13 -> 9 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 13 ,
  11 3 0 1 4 5 0 0 6 12 9 2 4 5 -> 11 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 5 ,
  11 3 0 1 4 5 0 0 6 12 9 2 4 9 -> 11 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 9 ,
  11 3 0 1 4 5 0 0 6 12 9 2 4 12 -> 11 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 12 ,
  11 3 0 1 4 5 0 0 6 12 9 2 4 13 -> 11 3 0 0 1 3 6 12 5 1 2 2 3 1 4 9 4 13 ,
  1 3 0 1 4 9 2 2 3 6 5 6 9 3 -> 1 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 0 ,
  1 3 0 1 4 9 2 2 3 6 5 6 9 2 -> 1 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 1 ,
  1 3 0 1 4 9 2 2 3 6 5 6 9 4 -> 1 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 6 ,
  1 3 0 1 4 9 2 2 3 6 5 6 9 7 -> 1 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 8 ,
  2 3 0 1 4 9 2 2 3 6 5 6 9 3 -> 2 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 0 ,
  2 3 0 1 4 9 2 2 3 6 5 6 9 2 -> 2 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 1 ,
  2 3 0 1 4 9 2 2 3 6 5 6 9 4 -> 2 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 6 ,
  2 3 0 1 4 9 2 2 3 6 5 6 9 7 -> 2 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 8 ,
  9 3 0 1 4 9 2 2 3 6 5 6 9 3 -> 9 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 0 ,
  9 3 0 1 4 9 2 2 3 6 5 6 9 2 -> 9 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 1 ,
  9 3 0 1 4 9 2 2 3 6 5 6 9 4 -> 9 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 6 ,
  9 3 0 1 4 9 2 2 3 6 5 6 9 7 -> 9 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 8 ,
  11 3 0 1 4 9 2 2 3 6 5 6 9 3 -> 11 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 0 ,
  11 3 0 1 4 9 2 2 3 6 5 6 9 2 -> 11 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 1 ,
  11 3 0 1 4 9 2 2 3 6 5 6 9 4 -> 11 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 6 ,
  11 3 0 1 4 9 2 2 3 6 5 6 9 7 -> 11 3 0 1 3 0 1 4 5 1 3 1 4 12 9 3 0 8 ,
  1 3 0 6 5 1 3 1 3 6 9 3 6 5 -> 0 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 5 ,
  1 3 0 6 5 1 3 1 3 6 9 3 6 9 -> 0 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 9 ,
  1 3 0 6 5 1 3 1 3 6 9 3 6 12 -> 0 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 12 ,
  1 3 0 6 5 1 3 1 3 6 9 3 6 13 -> 0 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 13 ,
  2 3 0 6 5 1 3 1 3 6 9 3 6 5 -> 3 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 5 ,
  2 3 0 6 5 1 3 1 3 6 9 3 6 9 -> 3 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 9 ,
  2 3 0 6 5 1 3 1 3 6 9 3 6 12 -> 3 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 12 ,
  2 3 0 6 5 1 3 1 3 6 9 3 6 13 -> 3 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 13 ,
  9 3 0 6 5 1 3 1 3 6 9 3 6 5 -> 5 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 5 ,
  9 3 0 6 5 1 3 1 3 6 9 3 6 9 -> 5 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 9 ,
  9 3 0 6 5 1 3 1 3 6 9 3 6 12 -> 5 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 12 ,
  9 3 0 6 5 1 3 1 3 6 9 3 6 13 -> 5 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 13 ,
  11 3 0 6 5 1 3 1 3 6 9 3 6 5 -> 10 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 5 ,
  11 3 0 6 5 1 3 1 3 6 9 3 6 9 -> 10 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 9 ,
  11 3 0 6 5 1 3 1 3 6 9 3 6 12 -> 10 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 12 ,
  11 3 0 6 5 1 3 1 3 6 9 3 6 13 -> 10 1 3 0 0 6 5 1 2 3 1 3 1 2 3 0 6 13 ,
  1 3 1 3 1 4 9 2 4 9 3 0 1 3 -> 1 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 0 ,
  1 3 1 3 1 4 9 2 4 9 3 0 1 2 -> 1 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 1 ,
  1 3 1 3 1 4 9 2 4 9 3 0 1 4 -> 1 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 6 ,
  1 3 1 3 1 4 9 2 4 9 3 0 1 7 -> 1 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 8 ,
  2 3 1 3 1 4 9 2 4 9 3 0 1 3 -> 2 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 0 ,
  2 3 1 3 1 4 9 2 4 9 3 0 1 2 -> 2 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 1 ,
  2 3 1 3 1 4 9 2 4 9 3 0 1 4 -> 2 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 6 ,
  2 3 1 3 1 4 9 2 4 9 3 0 1 7 -> 2 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 8 ,
  9 3 1 3 1 4 9 2 4 9 3 0 1 3 -> 9 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 0 ,
  9 3 1 3 1 4 9 2 4 9 3 0 1 2 -> 9 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 1 ,
  9 3 1 3 1 4 9 2 4 9 3 0 1 4 -> 9 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 6 ,
  9 3 1 3 1 4 9 2 4 9 3 0 1 7 -> 9 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 8 ,
  11 3 1 3 1 4 9 2 4 9 3 0 1 3 -> 11 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 0 ,
  11 3 1 3 1 4 9 2 4 9 3 0 1 2 -> 11 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 1 ,
  11 3 1 3 1 4 9 2 4 9 3 0 1 4 -> 11 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 6 ,
  11 3 1 3 1 4 9 2 4 9 3 0 1 7 -> 11 2 3 0 1 3 0 6 12 5 0 0 0 1 2 3 0 8 ,
  1 3 1 4 5 1 4 9 3 0 1 3 0 0 -> 0 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 3 ,
  1 3 1 4 5 1 4 9 3 0 1 3 0 1 -> 0 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 2 ,
  1 3 1 4 5 1 4 9 3 0 1 3 0 6 -> 0 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 4 ,
  1 3 1 4 5 1 4 9 3 0 1 3 0 8 -> 0 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 7 ,
  2 3 1 4 5 1 4 9 3 0 1 3 0 0 -> 3 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 3 ,
  2 3 1 4 5 1 4 9 3 0 1 3 0 1 -> 3 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 2 ,
  2 3 1 4 5 1 4 9 3 0 1 3 0 6 -> 3 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 4 ,
  2 3 1 4 5 1 4 9 3 0 1 3 0 8 -> 3 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 7 ,
  9 3 1 4 5 1 4 9 3 0 1 3 0 0 -> 5 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 3 ,
  9 3 1 4 5 1 4 9 3 0 1 3 0 1 -> 5 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 2 ,
  9 3 1 4 5 1 4 9 3 0 1 3 0 6 -> 5 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 4 ,
  9 3 1 4 5 1 4 9 3 0 1 3 0 8 -> 5 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 7 ,
  11 3 1 4 5 1 4 9 3 0 1 3 0 0 -> 10 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 3 ,
  11 3 1 4 5 1 4 9 3 0 1 3 0 1 -> 10 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 2 ,
  11 3 1 4 5 1 4 9 3 0 1 3 0 6 -> 10 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 4 ,
  11 3 1 4 5 1 4 9 3 0 1 3 0 8 -> 10 0 0 0 0 1 2 3 1 2 2 2 3 6 9 3 1 7 ,
  1 3 6 12 9 3 1 3 1 3 1 3 6 5 -> 1 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 5 ,
  1 3 6 12 9 3 1 3 1 3 1 3 6 9 -> 1 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 9 ,
  1 3 6 12 9 3 1 3 1 3 1 3 6 12 -> 1 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 12 ,
  1 3 6 12 9 3 1 3 1 3 1 3 6 13 -> 1 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 13 ,
  2 3 6 12 9 3 1 3 1 3 1 3 6 5 -> 2 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 5 ,
  2 3 6 12 9 3 1 3 1 3 1 3 6 9 -> 2 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 9 ,
  2 3 6 12 9 3 1 3 1 3 1 3 6 12 -> 2 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 12 ,
  2 3 6 12 9 3 1 3 1 3 1 3 6 13 -> 2 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 13 ,
  9 3 6 12 9 3 1 3 1 3 1 3 6 5 -> 9 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 5 ,
  9 3 6 12 9 3 1 3 1 3 1 3 6 9 -> 9 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 9 ,
  9 3 6 12 9 3 1 3 1 3 1 3 6 12 -> 9 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 12 ,
  9 3 6 12 9 3 1 3 1 3 1 3 6 13 -> 9 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 13 ,
  11 3 6 12 9 3 1 3 1 3 1 3 6 5 -> 11 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 5 ,
  11 3 6 12 9 3 1 3 1 3 1 3 6 9 -> 11 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 9 ,
  11 3 6 12 9 3 1 3 1 3 1 3 6 12 -> 11 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 12 ,
  11 3 6 12 9 3 1 3 1 3 1 3 6 13 -> 11 2 2 3 0 0 0 0 0 1 2 3 0 0 6 9 4 13 ,
  1 2 3 1 3 6 12 12 9 3 0 0 0 0 -> 1 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 3 ,
  1 2 3 1 3 6 12 12 9 3 0 0 0 1 -> 1 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 2 ,
  1 2 3 1 3 6 12 12 9 3 0 0 0 6 -> 1 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 4 ,
  1 2 3 1 3 6 12 12 9 3 0 0 0 8 -> 1 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 7 ,
  2 2 3 1 3 6 12 12 9 3 0 0 0 0 -> 2 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 3 ,
  2 2 3 1 3 6 12 12 9 3 0 0 0 1 -> 2 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 2 ,
  2 2 3 1 3 6 12 12 9 3 0 0 0 6 -> 2 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 4 ,
  2 2 3 1 3 6 12 12 9 3 0 0 0 8 -> 2 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 7 ,
  9 2 3 1 3 6 12 12 9 3 0 0 0 0 -> 9 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 3 ,
  9 2 3 1 3 6 12 12 9 3 0 0 0 1 -> 9 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 2 ,
  9 2 3 1 3 6 12 12 9 3 0 0 0 6 -> 9 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 4 ,
  9 2 3 1 3 6 12 12 9 3 0 0 0 8 -> 9 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 7 ,
  11 2 3 1 3 6 12 12 9 3 0 0 0 0 -> 11 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 3 ,
  11 2 3 1 3 6 12 12 9 3 0 0 0 1 -> 11 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 2 ,
  11 2 3 1 3 6 12 12 9 3 0 0 0 6 -> 11 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 4 ,
  11 2 3 1 3 6 12 12 9 3 0 0 0 8 -> 11 2 3 1 2 3 1 3 1 3 1 3 0 6 5 0 1 7 ,
  1 2 3 6 12 5 0 1 4 9 4 9 4 5 -> 1 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 5 ,
  1 2 3 6 12 5 0 1 4 9 4 9 4 9 -> 1 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 9 ,
  1 2 3 6 12 5 0 1 4 9 4 9 4 12 -> 1 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 12 ,
  1 2 3 6 12 5 0 1 4 9 4 9 4 13 -> 1 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 13 ,
  2 2 3 6 12 5 0 1 4 9 4 9 4 5 -> 2 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 5 ,
  2 2 3 6 12 5 0 1 4 9 4 9 4 9 -> 2 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 9 ,
  2 2 3 6 12 5 0 1 4 9 4 9 4 12 -> 2 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 12 ,
  2 2 3 6 12 5 0 1 4 9 4 9 4 13 -> 2 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 13 ,
  9 2 3 6 12 5 0 1 4 9 4 9 4 5 -> 9 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 5 ,
  9 2 3 6 12 5 0 1 4 9 4 9 4 9 -> 9 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 9 ,
  9 2 3 6 12 5 0 1 4 9 4 9 4 12 -> 9 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 12 ,
  9 2 3 6 12 5 0 1 4 9 4 9 4 13 -> 9 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 13 ,
  11 2 3 6 12 5 0 1 4 9 4 9 4 5 -> 11 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 5 ,
  11 2 3 6 12 5 0 1 4 9 4 9 4 9 -> 11 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 9 ,
  11 2 3 6 12 5 0 1 4 9 4 9 4 12 -> 11 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 12 ,
  11 2 3 6 12 5 0 1 4 9 4 9 4 13 -> 11 2 4 5 0 0 1 2 3 6 12 9 2 3 1 3 6 13 ,
  1 2 2 2 3 1 3 6 9 2 3 0 6 5 -> 1 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 5 ,
  1 2 2 2 3 1 3 6 9 2 3 0 6 9 -> 1 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 9 ,
  1 2 2 2 3 1 3 6 9 2 3 0 6 12 -> 1 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 12 ,
  1 2 2 2 3 1 3 6 9 2 3 0 6 13 -> 1 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 13 ,
  2 2 2 2 3 1 3 6 9 2 3 0 6 5 -> 2 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 5 ,
  2 2 2 2 3 1 3 6 9 2 3 0 6 9 -> 2 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 9 ,
  2 2 2 2 3 1 3 6 9 2 3 0 6 12 -> 2 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 12 ,
  2 2 2 2 3 1 3 6 9 2 3 0 6 13 -> 2 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 13 ,
  9 2 2 2 3 1 3 6 9 2 3 0 6 5 -> 9 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 5 ,
  9 2 2 2 3 1 3 6 9 2 3 0 6 9 -> 9 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 9 ,
  9 2 2 2 3 1 3 6 9 2 3 0 6 12 -> 9 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 12 ,
  9 2 2 2 3 1 3 6 9 2 3 0 6 13 -> 9 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 13 ,
  11 2 2 2 3 1 3 6 9 2 3 0 6 5 -> 11 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 5 ,
  11 2 2 2 3 1 3 6 9 2 3 0 6 9 -> 11 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 9 ,
  11 2 2 2 3 1 3 6 9 2 3 0 6 12 -> 11 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 12 ,
  11 2 2 2 3 1 3 6 9 2 3 0 6 13 -> 11 2 2 3 0 1 3 1 2 3 1 3 0 6 9 3 6 13 ,
  1 2 2 4 9 2 3 6 5 6 5 1 3 0 -> 1 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 0 ,
  1 2 2 4 9 2 3 6 5 6 5 1 3 1 -> 1 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 1 ,
  1 2 2 4 9 2 3 6 5 6 5 1 3 6 -> 1 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 6 ,
  1 2 2 4 9 2 3 6 5 6 5 1 3 8 -> 1 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 8 ,
  2 2 2 4 9 2 3 6 5 6 5 1 3 0 -> 2 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 0 ,
  2 2 2 4 9 2 3 6 5 6 5 1 3 1 -> 2 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 1 ,
  2 2 2 4 9 2 3 6 5 6 5 1 3 6 -> 2 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 6 ,
  2 2 2 4 9 2 3 6 5 6 5 1 3 8 -> 2 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 8 ,
  9 2 2 4 9 2 3 6 5 6 5 1 3 0 -> 9 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 0 ,
  9 2 2 4 9 2 3 6 5 6 5 1 3 1 -> 9 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 1 ,
  9 2 2 4 9 2 3 6 5 6 5 1 3 6 -> 9 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 6 ,
  9 2 2 4 9 2 3 6 5 6 5 1 3 8 -> 9 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 8 ,
  11 2 2 4 9 2 3 6 5 6 5 1 3 0 -> 11 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 0 ,
  11 2 2 4 9 2 3 6 5 6 5 1 3 1 -> 11 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 1 ,
  11 2 2 4 9 2 3 6 5 6 5 1 3 6 -> 11 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 6 ,
  11 2 2 4 9 2 3 6 5 6 5 1 3 8 -> 11 2 2 3 0 1 3 6 12 5 0 1 4 9 3 1 3 8 ,
  1 2 4 9 2 3 1 2 3 1 2 3 6 5 -> 1 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 5 ,
  1 2 4 9 2 3 1 2 3 1 2 3 6 9 -> 1 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 9 ,
  1 2 4 9 2 3 1 2 3 1 2 3 6 12 -> 1 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 12 ,
  1 2 4 9 2 3 1 2 3 1 2 3 6 13 -> 1 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 13 ,
  2 2 4 9 2 3 1 2 3 1 2 3 6 5 -> 2 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 5 ,
  2 2 4 9 2 3 1 2 3 1 2 3 6 9 -> 2 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 9 ,
  2 2 4 9 2 3 1 2 3 1 2 3 6 12 -> 2 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 12 ,
  2 2 4 9 2 3 1 2 3 1 2 3 6 13 -> 2 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 13 ,
  9 2 4 9 2 3 1 2 3 1 2 3 6 5 -> 9 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 5 ,
  9 2 4 9 2 3 1 2 3 1 2 3 6 9 -> 9 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 9 ,
  9 2 4 9 2 3 1 2 3 1 2 3 6 12 -> 9 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 12 ,
  9 2 4 9 2 3 1 2 3 1 2 3 6 13 -> 9 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 13 ,
  11 2 4 9 2 3 1 2 3 1 2 3 6 5 -> 11 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 5 ,
  11 2 4 9 2 3 1 2 3 1 2 3 6 9 -> 11 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 9 ,
  11 2 4 9 2 3 1 2 3 1 2 3 6 12 -> 11 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 12 ,
  11 2 4 9 2 3 1 2 3 1 2 3 6 13 -> 11 2 4 5 1 3 1 3 0 0 0 0 1 3 0 1 4 13 ,
  1 2 4 12 9 2 2 2 3 1 2 3 0 0 -> 1 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 0 ,
  1 2 4 12 9 2 2 2 3 1 2 3 0 1 -> 1 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 1 ,
  1 2 4 12 9 2 2 2 3 1 2 3 0 6 -> 1 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 6 ,
  1 2 4 12 9 2 2 2 3 1 2 3 0 8 -> 1 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 8 ,
  2 2 4 12 9 2 2 2 3 1 2 3 0 0 -> 2 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 0 ,
  2 2 4 12 9 2 2 2 3 1 2 3 0 1 -> 2 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 1 ,
  2 2 4 12 9 2 2 2 3 1 2 3 0 6 -> 2 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 6 ,
  2 2 4 12 9 2 2 2 3 1 2 3 0 8 -> 2 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 8 ,
  9 2 4 12 9 2 2 2 3 1 2 3 0 0 -> 9 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 0 ,
  9 2 4 12 9 2 2 2 3 1 2 3 0 1 -> 9 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 1 ,
  9 2 4 12 9 2 2 2 3 1 2 3 0 6 -> 9 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 6 ,
  9 2 4 12 9 2 2 2 3 1 2 3 0 8 -> 9 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 8 ,
  11 2 4 12 9 2 2 2 3 1 2 3 0 0 -> 11 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 0 ,
  11 2 4 12 9 2 2 2 3 1 2 3 0 1 -> 11 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 1 ,
  11 2 4 12 9 2 2 2 3 1 2 3 0 6 -> 11 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 6 ,
  11 2 4 12 9 2 2 2 3 1 2 3 0 8 -> 11 3 1 2 2 4 9 2 3 1 3 1 2 2 3 0 0 8 ,
  1 2 4 12 12 9 3 0 1 2 3 0 0 0 -> 0 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 0 ,
  1 2 4 12 12 9 3 0 1 2 3 0 0 1 -> 0 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 1 ,
  1 2 4 12 12 9 3 0 1 2 3 0 0 6 -> 0 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 6 ,
  1 2 4 12 12 9 3 0 1 2 3 0 0 8 -> 0 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 8 ,
  2 2 4 12 12 9 3 0 1 2 3 0 0 0 -> 3 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 0 ,
  2 2 4 12 12 9 3 0 1 2 3 0 0 1 -> 3 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 1 ,
  2 2 4 12 12 9 3 0 1 2 3 0 0 6 -> 3 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 6 ,
  2 2 4 12 12 9 3 0 1 2 3 0 0 8 -> 3 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 8 ,
  9 2 4 12 12 9 3 0 1 2 3 0 0 0 -> 5 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 0 ,
  9 2 4 12 12 9 3 0 1 2 3 0 0 1 -> 5 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 1 ,
  9 2 4 12 12 9 3 0 1 2 3 0 0 6 -> 5 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 6 ,
  9 2 4 12 12 9 3 0 1 2 3 0 0 8 -> 5 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 8 ,
  11 2 4 12 12 9 3 0 1 2 3 0 0 0 -> 10 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 0 ,
  11 2 4 12 12 9 3 0 1 2 3 0 0 1 -> 10 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 1 ,
  11 2 4 12 12 9 3 0 1 2 3 0 0 6 -> 10 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 6 ,
  11 2 4 12 12 9 3 0 1 2 3 0 0 8 -> 10 1 3 1 2 2 2 2 3 6 9 3 1 2 3 0 0 8 ,
  1 4 5 1 3 1 2 2 3 1 2 2 2 3 -> 1 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 3 ,
  1 4 5 1 3 1 2 2 3 1 2 2 2 2 -> 1 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 2 ,
  1 4 5 1 3 1 2 2 3 1 2 2 2 4 -> 1 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 4 ,
  1 4 5 1 3 1 2 2 3 1 2 2 2 7 -> 1 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 7 ,
  2 4 5 1 3 1 2 2 3 1 2 2 2 3 -> 2 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 3 ,
  2 4 5 1 3 1 2 2 3 1 2 2 2 2 -> 2 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 2 ,
  2 4 5 1 3 1 2 2 3 1 2 2 2 4 -> 2 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 4 ,
  2 4 5 1 3 1 2 2 3 1 2 2 2 7 -> 2 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 7 ,
  9 4 5 1 3 1 2 2 3 1 2 2 2 3 -> 9 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 3 ,
  9 4 5 1 3 1 2 2 3 1 2 2 2 2 -> 9 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 2 ,
  9 4 5 1 3 1 2 2 3 1 2 2 2 4 -> 9 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 4 ,
  9 4 5 1 3 1 2 2 3 1 2 2 2 7 -> 9 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 7 ,
  11 4 5 1 3 1 2 2 3 1 2 2 2 3 -> 11 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 3 ,
  11 4 5 1 3 1 2 2 3 1 2 2 2 2 -> 11 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 2 ,
  11 4 5 1 3 1 2 2 3 1 2 2 2 4 -> 11 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 4 ,
  11 4 5 1 3 1 2 2 3 1 2 2 2 7 -> 11 3 0 1 2 2 3 1 3 0 1 2 3 1 2 3 1 7 ,
  1 4 9 3 0 0 0 1 3 1 2 4 9 3 -> 0 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 0 ,
  1 4 9 3 0 0 0 1 3 1 2 4 9 2 -> 0 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 1 ,
  1 4 9 3 0 0 0 1 3 1 2 4 9 4 -> 0 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 6 ,
  1 4 9 3 0 0 0 1 3 1 2 4 9 7 -> 0 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 8 ,
  2 4 9 3 0 0 0 1 3 1 2 4 9 3 -> 3 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 0 ,
  2 4 9 3 0 0 0 1 3 1 2 4 9 2 -> 3 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 1 ,
  2 4 9 3 0 0 0 1 3 1 2 4 9 4 -> 3 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 6 ,
  2 4 9 3 0 0 0 1 3 1 2 4 9 7 -> 3 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 8 ,
  9 4 9 3 0 0 0 1 3 1 2 4 9 3 -> 5 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 0 ,
  9 4 9 3 0 0 0 1 3 1 2 4 9 2 -> 5 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 1 ,
  9 4 9 3 0 0 0 1 3 1 2 4 9 4 -> 5 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 6 ,
  9 4 9 3 0 0 0 1 3 1 2 4 9 7 -> 5 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 8 ,
  11 4 9 3 0 0 0 1 3 1 2 4 9 3 -> 10 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 0 ,
  11 4 9 3 0 0 0 1 3 1 2 4 9 2 -> 10 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 1 ,
  11 4 9 3 0 0 0 1 3 1 2 4 9 4 -> 10 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 6 ,
  11 4 9 3 0 0 0 1 3 1 2 4 9 7 -> 10 1 3 0 1 3 0 0 1 2 3 0 6 9 3 0 0 8 ,
  1 4 9 3 1 3 0 1 3 6 5 1 2 3 -> 1 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 0 ,
  1 4 9 3 1 3 0 1 3 6 5 1 2 2 -> 1 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 1 ,
  1 4 9 3 1 3 0 1 3 6 5 1 2 4 -> 1 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 6 ,
  1 4 9 3 1 3 0 1 3 6 5 1 2 7 -> 1 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 8 ,
  2 4 9 3 1 3 0 1 3 6 5 1 2 3 -> 2 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 0 ,
  2 4 9 3 1 3 0 1 3 6 5 1 2 2 -> 2 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 1 ,
  2 4 9 3 1 3 0 1 3 6 5 1 2 4 -> 2 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 6 ,
  2 4 9 3 1 3 0 1 3 6 5 1 2 7 -> 2 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 8 ,
  9 4 9 3 1 3 0 1 3 6 5 1 2 3 -> 9 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 0 ,
  9 4 9 3 1 3 0 1 3 6 5 1 2 2 -> 9 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 1 ,
  9 4 9 3 1 3 0 1 3 6 5 1 2 4 -> 9 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 6 ,
  9 4 9 3 1 3 0 1 3 6 5 1 2 7 -> 9 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 8 ,
  11 4 9 3 1 3 0 1 3 6 5 1 2 3 -> 11 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 0 ,
  11 4 9 3 1 3 0 1 3 6 5 1 2 2 -> 11 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 1 ,
  11 4 9 3 1 3 0 1 3 6 5 1 2 4 -> 11 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 6 ,
  11 4 9 3 1 3 0 1 3 6 5 1 2 7 -> 11 3 0 1 3 0 0 6 12 5 0 1 3 0 1 2 3 8 ,
  1 4 12 5 1 2 2 2 2 2 3 1 3 0 -> 1 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 0 ,
  1 4 12 5 1 2 2 2 2 2 3 1 3 1 -> 1 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 1 ,
  1 4 12 5 1 2 2 2 2 2 3 1 3 6 -> 1 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 6 ,
  1 4 12 5 1 2 2 2 2 2 3 1 3 8 -> 1 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 8 ,
  2 4 12 5 1 2 2 2 2 2 3 1 3 0 -> 2 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 0 ,
  2 4 12 5 1 2 2 2 2 2 3 1 3 1 -> 2 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 1 ,
  2 4 12 5 1 2 2 2 2 2 3 1 3 6 -> 2 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 6 ,
  2 4 12 5 1 2 2 2 2 2 3 1 3 8 -> 2 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 8 ,
  9 4 12 5 1 2 2 2 2 2 3 1 3 0 -> 9 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 0 ,
  9 4 12 5 1 2 2 2 2 2 3 1 3 1 -> 9 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 1 ,
  9 4 12 5 1 2 2 2 2 2 3 1 3 6 -> 9 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 6 ,
  9 4 12 5 1 2 2 2 2 2 3 1 3 8 -> 9 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 8 ,
  11 4 12 5 1 2 2 2 2 2 3 1 3 0 -> 11 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 0 ,
  11 4 12 5 1 2 2 2 2 2 3 1 3 1 -> 11 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 1 ,
  11 4 12 5 1 2 2 2 2 2 3 1 3 6 -> 11 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 6 ,
  11 4 12 5 1 2 2 2 2 2 3 1 3 8 -> 11 3 0 6 12 5 0 1 3 0 1 3 0 0 1 2 3 8 ,
  6 9 3 0 1 2 3 1 4 9 3 1 2 3 -> 1 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 3 ,
  6 9 3 0 1 2 3 1 4 9 3 1 2 2 -> 1 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 2 ,
  6 9 3 0 1 2 3 1 4 9 3 1 2 4 -> 1 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 4 ,
  6 9 3 0 1 2 3 1 4 9 3 1 2 7 -> 1 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 7 ,
  4 9 3 0 1 2 3 1 4 9 3 1 2 3 -> 2 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 3 ,
  4 9 3 0 1 2 3 1 4 9 3 1 2 2 -> 2 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 2 ,
  4 9 3 0 1 2 3 1 4 9 3 1 2 4 -> 2 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 4 ,
  4 9 3 0 1 2 3 1 4 9 3 1 2 7 -> 2 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 7 ,
  12 9 3 0 1 2 3 1 4 9 3 1 2 3 -> 9 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 3 ,
  12 9 3 0 1 2 3 1 4 9 3 1 2 2 -> 9 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 2 ,
  12 9 3 0 1 2 3 1 4 9 3 1 2 4 -> 9 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 4 ,
  12 9 3 0 1 2 3 1 4 9 3 1 2 7 -> 9 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 7 ,
  14 9 3 0 1 2 3 1 4 9 3 1 2 3 -> 11 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 3 ,
  14 9 3 0 1 2 3 1 4 9 3 1 2 2 -> 11 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 2 ,
  14 9 3 0 1 2 3 1 4 9 3 1 2 4 -> 11 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 4 ,
  14 9 3 0 1 2 3 1 4 9 3 1 2 7 -> 11 3 0 0 1 3 0 0 0 6 9 3 0 1 2 3 1 7 ,
  6 9 3 1 4 5 0 6 5 1 3 1 4 5 -> 6 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 5 ,
  6 9 3 1 4 5 0 6 5 1 3 1 4 9 -> 6 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 9 ,
  6 9 3 1 4 5 0 6 5 1 3 1 4 12 -> 6 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 12 ,
  6 9 3 1 4 5 0 6 5 1 3 1 4 13 -> 6 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 13 ,
  4 9 3 1 4 5 0 6 5 1 3 1 4 5 -> 4 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 5 ,
  4 9 3 1 4 5 0 6 5 1 3 1 4 9 -> 4 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 9 ,
  4 9 3 1 4 5 0 6 5 1 3 1 4 12 -> 4 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 12 ,
  4 9 3 1 4 5 0 6 5 1 3 1 4 13 -> 4 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 13 ,
  12 9 3 1 4 5 0 6 5 1 3 1 4 5 -> 12 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 5 ,
  12 9 3 1 4 5 0 6 5 1 3 1 4 9 -> 12 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 9 ,
  12 9 3 1 4 5 0 6 5 1 3 1 4 12 -> 12 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 12 ,
  12 9 3 1 4 5 0 6 5 1 3 1 4 13 -> 12 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 13 ,
  14 9 3 1 4 5 0 6 5 1 3 1 4 5 -> 14 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 5 ,
  14 9 3 1 4 5 0 6 5 1 3 1 4 9 -> 14 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 9 ,
  14 9 3 1 4 5 0 6 5 1 3 1 4 12 -> 14 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 12 ,
  14 9 3 1 4 5 0 6 5 1 3 1 4 13 -> 14 9 3 0 1 3 0 0 0 1 3 6 12 12 5 1 4 13 ,
  6 9 3 6 12 12 12 9 3 0 0 0 1 3 -> 1 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 0 ,
  6 9 3 6 12 12 12 9 3 0 0 0 1 2 -> 1 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 1 ,
  6 9 3 6 12 12 12 9 3 0 0 0 1 4 -> 1 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 6 ,
  6 9 3 6 12 12 12 9 3 0 0 0 1 7 -> 1 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 8 ,
  4 9 3 6 12 12 12 9 3 0 0 0 1 3 -> 2 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 0 ,
  4 9 3 6 12 12 12 9 3 0 0 0 1 2 -> 2 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 1 ,
  4 9 3 6 12 12 12 9 3 0 0 0 1 4 -> 2 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 6 ,
  4 9 3 6 12 12 12 9 3 0 0 0 1 7 -> 2 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 8 ,
  12 9 3 6 12 12 12 9 3 0 0 0 1 3 -> 9 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 0 ,
  12 9 3 6 12 12 12 9 3 0 0 0 1 2 -> 9 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 1 ,
  12 9 3 6 12 12 12 9 3 0 0 0 1 4 -> 9 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 6 ,
  12 9 3 6 12 12 12 9 3 0 0 0 1 7 -> 9 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 8 ,
  14 9 3 6 12 12 12 9 3 0 0 0 1 3 -> 11 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 0 ,
  14 9 3 6 12 12 12 9 3 0 0 0 1 2 -> 11 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 1 ,
  14 9 3 6 12 12 12 9 3 0 0 0 1 4 -> 11 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 6 ,
  14 9 3 6 12 12 12 9 3 0 0 0 1 7 -> 11 2 2 3 0 0 1 2 4 9 3 0 1 4 5 1 3 8 ,
  6 9 2 3 1 3 1 2 2 4 9 2 3 0 -> 1 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 0 ,
  6 9 2 3 1 3 1 2 2 4 9 2 3 1 -> 1 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 1 ,
  6 9 2 3 1 3 1 2 2 4 9 2 3 6 -> 1 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 6 ,
  6 9 2 3 1 3 1 2 2 4 9 2 3 8 -> 1 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 8 ,
  4 9 2 3 1 3 1 2 2 4 9 2 3 0 -> 2 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 0 ,
  4 9 2 3 1 3 1 2 2 4 9 2 3 1 -> 2 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 1 ,
  4 9 2 3 1 3 1 2 2 4 9 2 3 6 -> 2 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 6 ,
  4 9 2 3 1 3 1 2 2 4 9 2 3 8 -> 2 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 8 ,
  12 9 2 3 1 3 1 2 2 4 9 2 3 0 -> 9 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 0 ,
  12 9 2 3 1 3 1 2 2 4 9 2 3 1 -> 9 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 1 ,
  12 9 2 3 1 3 1 2 2 4 9 2 3 6 -> 9 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 6 ,
  12 9 2 3 1 3 1 2 2 4 9 2 3 8 -> 9 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 8 ,
  14 9 2 3 1 3 1 2 2 4 9 2 3 0 -> 11 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 0 ,
  14 9 2 3 1 3 1 2 2 4 9 2 3 1 -> 11 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 1 ,
  14 9 2 3 1 3 1 2 2 4 9 2 3 6 -> 11 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 6 ,
  14 9 2 3 1 3 1 2 2 4 9 2 3 8 -> 11 2 4 9 2 3 0 1 2 3 0 1 2 3 1 3 0 8 ,
  6 9 2 3 6 9 3 6 9 3 0 0 1 3 -> 0 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 0 ,
  6 9 2 3 6 9 3 6 9 3 0 0 1 2 -> 0 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 1 ,
  6 9 2 3 6 9 3 6 9 3 0 0 1 4 -> 0 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 6 ,
  6 9 2 3 6 9 3 6 9 3 0 0 1 7 -> 0 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 8 ,
  4 9 2 3 6 9 3 6 9 3 0 0 1 3 -> 3 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 0 ,
  4 9 2 3 6 9 3 6 9 3 0 0 1 2 -> 3 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 1 ,
  4 9 2 3 6 9 3 6 9 3 0 0 1 4 -> 3 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 6 ,
  4 9 2 3 6 9 3 6 9 3 0 0 1 7 -> 3 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 8 ,
  12 9 2 3 6 9 3 6 9 3 0 0 1 3 -> 5 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 0 ,
  12 9 2 3 6 9 3 6 9 3 0 0 1 2 -> 5 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 1 ,
  12 9 2 3 6 9 3 6 9 3 0 0 1 4 -> 5 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 6 ,
  12 9 2 3 6 9 3 6 9 3 0 0 1 7 -> 5 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 8 ,
  14 9 2 3 6 9 3 6 9 3 0 0 1 3 -> 10 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 0 ,
  14 9 2 3 6 9 3 6 9 3 0 0 1 2 -> 10 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 1 ,
  14 9 2 3 6 9 3 6 9 3 0 0 1 4 -> 10 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 6 ,
  14 9 2 3 6 9 3 6 9 3 0 0 1 7 -> 10 1 3 1 2 2 2 4 5 1 3 0 1 3 0 1 3 8 ,
  6 9 2 2 2 2 2 2 3 0 6 5 1 3 -> 1 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 0 ,
  6 9 2 2 2 2 2 2 3 0 6 5 1 2 -> 1 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 1 ,
  6 9 2 2 2 2 2 2 3 0 6 5 1 4 -> 1 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 6 ,
  6 9 2 2 2 2 2 2 3 0 6 5 1 7 -> 1 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 8 ,
  4 9 2 2 2 2 2 2 3 0 6 5 1 3 -> 2 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 0 ,
  4 9 2 2 2 2 2 2 3 0 6 5 1 2 -> 2 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 1 ,
  4 9 2 2 2 2 2 2 3 0 6 5 1 4 -> 2 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 6 ,
  4 9 2 2 2 2 2 2 3 0 6 5 1 7 -> 2 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 8 ,
  12 9 2 2 2 2 2 2 3 0 6 5 1 3 -> 9 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 0 ,
  12 9 2 2 2 2 2 2 3 0 6 5 1 2 -> 9 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 1 ,
  12 9 2 2 2 2 2 2 3 0 6 5 1 4 -> 9 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 6 ,
  12 9 2 2 2 2 2 2 3 0 6 5 1 7 -> 9 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 8 ,
  14 9 2 2 2 2 2 2 3 0 6 5 1 3 -> 11 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 0 ,
  14 9 2 2 2 2 2 2 3 0 6 5 1 2 -> 11 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 1 ,
  14 9 2 2 2 2 2 2 3 0 6 5 1 4 -> 11 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 6 ,
  14 9 2 2 2 2 2 2 3 0 6 5 1 7 -> 11 2 2 3 1 2 2 3 1 3 0 1 3 6 5 1 3 8 ,
  6 12 9 3 0 6 9 2 2 2 2 3 1 3 -> 6 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 0 ,
  6 12 9 3 0 6 9 2 2 2 2 3 1 2 -> 6 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 1 ,
  6 12 9 3 0 6 9 2 2 2 2 3 1 4 -> 6 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 6 ,
  6 12 9 3 0 6 9 2 2 2 2 3 1 7 -> 6 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 8 ,
  4 12 9 3 0 6 9 2 2 2 2 3 1 3 -> 4 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 0 ,
  4 12 9 3 0 6 9 2 2 2 2 3 1 2 -> 4 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 1 ,
  4 12 9 3 0 6 9 2 2 2 2 3 1 4 -> 4 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 6 ,
  4 12 9 3 0 6 9 2 2 2 2 3 1 7 -> 4 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 8 ,
  12 12 9 3 0 6 9 2 2 2 2 3 1 3 -> 12 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 0 ,
  12 12 9 3 0 6 9 2 2 2 2 3 1 2 -> 12 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 1 ,
  12 12 9 3 0 6 9 2 2 2 2 3 1 4 -> 12 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 6 ,
  12 12 9 3 0 6 9 2 2 2 2 3 1 7 -> 12 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 8 ,
  14 12 9 3 0 6 9 2 2 2 2 3 1 3 -> 14 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 0 ,
  14 12 9 3 0 6 9 2 2 2 2 3 1 2 -> 14 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 1 ,
  14 12 9 3 0 6 9 2 2 2 2 3 1 4 -> 14 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 6 ,
  14 12 9 3 0 6 9 2 2 2 2 3 1 7 -> 14 12 12 5 0 0 1 3 1 3 1 2 3 1 2 2 3 8 ,
  6 12 9 3 0 6 9 4 5 0 1 3 6 5 -> 6 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 5 ,
  6 12 9 3 0 6 9 4 5 0 1 3 6 9 -> 6 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 9 ,
  6 12 9 3 0 6 9 4 5 0 1 3 6 12 -> 6 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 12 ,
  6 12 9 3 0 6 9 4 5 0 1 3 6 13 -> 6 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 13 ,
  4 12 9 3 0 6 9 4 5 0 1 3 6 5 -> 4 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 5 ,
  4 12 9 3 0 6 9 4 5 0 1 3 6 9 -> 4 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 9 ,
  4 12 9 3 0 6 9 4 5 0 1 3 6 12 -> 4 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 12 ,
  4 12 9 3 0 6 9 4 5 0 1 3 6 13 -> 4 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 13 ,
  12 12 9 3 0 6 9 4 5 0 1 3 6 5 -> 12 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 5 ,
  12 12 9 3 0 6 9 4 5 0 1 3 6 9 -> 12 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 9 ,
  12 12 9 3 0 6 9 4 5 0 1 3 6 12 -> 12 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 12 ,
  12 12 9 3 0 6 9 4 5 0 1 3 6 13 -> 12 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 13 ,
  14 12 9 3 0 6 9 4 5 0 1 3 6 5 -> 14 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 5 ,
  14 12 9 3 0 6 9 4 5 0 1 3 6 9 -> 14 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 9 ,
  14 12 9 3 0 6 9 4 5 0 1 3 6 12 -> 14 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 12 ,
  14 12 9 3 0 6 9 4 5 0 1 3 6 13 -> 14 9 3 0 0 6 9 3 0 1 4 5 0 1 2 2 4 13 ,
  6 12 12 5 0 0 1 3 0 0 0 1 3 0 -> 0 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 0 ,
  6 12 12 5 0 0 1 3 0 0 0 1 3 1 -> 0 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 1 ,
  6 12 12 5 0 0 1 3 0 0 0 1 3 6 -> 0 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 6 ,
  6 12 12 5 0 0 1 3 0 0 0 1 3 8 -> 0 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 8 ,
  4 12 12 5 0 0 1 3 0 0 0 1 3 0 -> 3 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 0 ,
  4 12 12 5 0 0 1 3 0 0 0 1 3 1 -> 3 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 1 ,
  4 12 12 5 0 0 1 3 0 0 0 1 3 6 -> 3 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 6 ,
  4 12 12 5 0 0 1 3 0 0 0 1 3 8 -> 3 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 8 ,
  12 12 12 5 0 0 1 3 0 0 0 1 3 0 -> 5 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 0 ,
  12 12 12 5 0 0 1 3 0 0 0 1 3 1 -> 5 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 1 ,
  12 12 12 5 0 0 1 3 0 0 0 1 3 6 -> 5 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 6 ,
  12 12 12 5 0 0 1 3 0 0 0 1 3 8 -> 5 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 8 ,
  14 12 12 5 0 0 1 3 0 0 0 1 3 0 -> 10 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 0 ,
  14 12 12 5 0 0 1 3 0 0 0 1 3 1 -> 10 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 1 ,
  14 12 12 5 0 0 1 3 0 0 0 1 3 6 -> 10 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 6 ,
  14 12 12 5 0 0 1 3 0 0 0 1 3 8 -> 10 6 5 0 1 2 2 3 1 2 3 0 0 1 3 1 3 8 }


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

0 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 6 |
| 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 8 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 1->0, 3->1, 0->2, 2->3, 4->4, 5->5, 6->6, 9->7, 12->8, 13->9, 11->10 }, 
it remains to prove termination of the 40-rule system
{ 0 1 2 2 0 3 3 4 5 2 0 1 6 5 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 5 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 5 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 5 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 39-rule system
{ 0 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 5 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 5 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  0 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 0 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  3 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 3 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  7 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 7 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 5 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 5 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 7 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 7 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 8 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 8 ,
  10 1 2 0 4 5 2 2 6 8 7 3 4 9 -> 10 1 2 2 0 1 6 8 5 0 3 3 1 0 4 7 4 9 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  0 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  3 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  7 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 7 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 5 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 5 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 7 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 7 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 8 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 8 ,
  10 3 3 3 1 0 1 6 7 3 1 2 6 9 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 7 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 8->7, 9->8, 7->9, 10->10 }, 
it remains to prove termination of the 38-rule system
{ 0 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  0 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 5 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 5 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  0 1 2 0 4 5 2 2 6 7 9 3 4 5 -> 0 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 5 ,
  0 1 2 0 4 5 2 2 6 7 9 3 4 9 -> 0 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 9 ,
  0 1 2 0 4 5 2 2 6 7 9 3 4 7 -> 0 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 7 ,
  0 1 2 0 4 5 2 2 6 7 9 3 4 8 -> 0 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 8 ,
  3 1 2 0 4 5 2 2 6 7 9 3 4 5 -> 3 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 5 ,
  3 1 2 0 4 5 2 2 6 7 9 3 4 9 -> 3 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 9 ,
  3 1 2 0 4 5 2 2 6 7 9 3 4 7 -> 3 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 7 ,
  3 1 2 0 4 5 2 2 6 7 9 3 4 8 -> 3 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 8 ,
  9 1 2 0 4 5 2 2 6 7 9 3 4 5 -> 9 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 5 ,
  9 1 2 0 4 5 2 2 6 7 9 3 4 9 -> 9 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 9 ,
  9 1 2 0 4 5 2 2 6 7 9 3 4 7 -> 9 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 7 ,
  9 1 2 0 4 5 2 2 6 7 9 3 4 8 -> 9 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 8 ,
  10 1 2 0 4 5 2 2 6 7 9 3 4 5 -> 10 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 5 ,
  10 1 2 0 4 5 2 2 6 7 9 3 4 9 -> 10 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 9 ,
  10 1 2 0 4 5 2 2 6 7 9 3 4 7 -> 10 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 7 ,
  10 1 2 0 4 5 2 2 6 7 9 3 4 8 -> 10 1 2 2 0 1 6 7 5 0 3 3 1 0 4 9 4 8 ,
  0 3 3 3 1 0 1 6 9 3 1 2 6 5 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 5 ,
  0 3 3 3 1 0 1 6 9 3 1 2 6 9 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 9 ,
  0 3 3 3 1 0 1 6 9 3 1 2 6 7 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 7 ,
  0 3 3 3 1 0 1 6 9 3 1 2 6 8 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 8 ,
  3 3 3 3 1 0 1 6 9 3 1 2 6 5 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 5 ,
  3 3 3 3 1 0 1 6 9 3 1 2 6 9 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 9 ,
  3 3 3 3 1 0 1 6 9 3 1 2 6 7 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 7 ,
  3 3 3 3 1 0 1 6 9 3 1 2 6 8 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 8 ,
  9 3 3 3 1 0 1 6 9 3 1 2 6 5 -> 9 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 5 ,
  9 3 3 3 1 0 1 6 9 3 1 2 6 9 -> 9 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 9 ,
  9 3 3 3 1 0 1 6 9 3 1 2 6 7 -> 9 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 7 ,
  9 3 3 3 1 0 1 6 9 3 1 2 6 8 -> 9 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 8 ,
  10 3 3 3 1 0 1 6 9 3 1 2 6 5 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 5 ,
  10 3 3 3 1 0 1 6 9 3 1 2 6 9 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 9 ,
  10 3 3 3 1 0 1 6 9 3 1 2 6 7 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 7 ,
  10 3 3 3 1 0 1 6 9 3 1 2 6 8 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 9 1 6 8 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 8->7, 9->8, 7->9, 10->10 }, 
it remains to prove termination of the 37-rule system
{ 0 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 2 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 5 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 5 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 8 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 8 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 9 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 9 ,
  3 1 2 2 0 3 3 4 5 2 0 1 6 7 -> 1 0 3 1 0 1 2 0 1 2 2 2 2 6 5 0 4 7 ,
  0 1 2 0 4 5 2 2 6 9 8 3 4 5 -> 0 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 5 ,
  0 1 2 0 4 5 2 2 6 9 8 3 4 8 -> 0 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 8 ,
  0 1 2 0 4 5 2 2 6 9 8 3 4 9 -> 0 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 9 ,
  0 1 2 0 4 5 2 2 6 9 8 3 4 7 -> 0 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 7 ,
  3 1 2 0 4 5 2 2 6 9 8 3 4 5 -> 3 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 5 ,
  3 1 2 0 4 5 2 2 6 9 8 3 4 8 -> 3 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 8 ,
  3 1 2 0 4 5 2 2 6 9 8 3 4 9 -> 3 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 9 ,
  3 1 2 0 4 5 2 2 6 9 8 3 4 7 -> 3 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 7 ,
  8 1 2 0 4 5 2 2 6 9 8 3 4 5 -> 8 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 5 ,
  8 1 2 0 4 5 2 2 6 9 8 3 4 8 -> 8 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 8 ,
  8 1 2 0 4 5 2 2 6 9 8 3 4 9 -> 8 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 9 ,
  8 1 2 0 4 5 2 2 6 9 8 3 4 7 -> 8 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 7 ,
  10 1 2 0 4 5 2 2 6 9 8 3 4 5 -> 10 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 5 ,
  10 1 2 0 4 5 2 2 6 9 8 3 4 8 -> 10 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 8 ,
  10 1 2 0 4 5 2 2 6 9 8 3 4 9 -> 10 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 9 ,
  10 1 2 0 4 5 2 2 6 9 8 3 4 7 -> 10 1 2 2 0 1 6 9 5 0 3 3 1 0 4 8 4 7 ,
  0 3 3 3 1 0 1 6 8 3 1 2 6 5 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 5 ,
  0 3 3 3 1 0 1 6 8 3 1 2 6 8 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 8 ,
  0 3 3 3 1 0 1 6 8 3 1 2 6 9 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 9 ,
  0 3 3 3 1 0 1 6 8 3 1 2 6 7 -> 0 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 7 ,
  3 3 3 3 1 0 1 6 8 3 1 2 6 5 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 5 ,
  3 3 3 3 1 0 1 6 8 3 1 2 6 8 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 8 ,
  3 3 3 3 1 0 1 6 8 3 1 2 6 9 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 9 ,
  3 3 3 3 1 0 1 6 8 3 1 2 6 7 -> 3 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 7 ,
  8 3 3 3 1 0 1 6 8 3 1 2 6 5 -> 8 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 5 ,
  8 3 3 3 1 0 1 6 8 3 1 2 6 8 -> 8 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 8 ,
  8 3 3 3 1 0 1 6 8 3 1 2 6 9 -> 8 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 9 ,
  8 3 3 3 1 0 1 6 8 3 1 2 6 7 -> 8 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 7 ,
  10 3 3 3 1 0 1 6 8 3 1 2 6 5 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 5 ,
  10 3 3 3 1 0 1 6 8 3 1 2 6 8 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 8 ,
  10 3 3 3 1 0 1 6 8 3 1 2 6 9 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 9 ,
  10 3 3 3 1 0 1 6 8 3 1 2 6 7 -> 10 3 3 1 2 0 1 0 3 1 0 1 2 6 8 1 6 7 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 { 3->0, 1->1, 2->2, 0->3, 4->4, 5->5, 6->6, 8->7, 9->8, 7->9, 10->10 }, 
it remains to prove termination of the 36-rule system
{ 0 1 2 2 3 0 0 4 5 2 3 1 6 5 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 5 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 7 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 7 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 8 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 8 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 9 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 9 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 35-rule system
{ 0 1 2 2 3 0 0 4 5 2 3 1 6 7 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 7 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 8 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 8 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 9 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 9 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  3 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  0 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  7 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 7 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 5 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 5 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 7 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 7 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 8 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 8 ,
  10 1 2 3 4 5 2 2 6 8 7 0 4 9 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 7 4 9 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  3 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  0 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  7 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 7 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 5 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 7 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 8 ,
  10 0 0 0 1 3 1 6 7 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 7 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 8->7, 9->8, 7->9, 10->10 }, 
it remains to prove termination of the 34-rule system
{ 0 1 2 2 3 0 0 4 5 2 3 1 6 7 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 7 ,
  0 1 2 2 3 0 0 4 5 2 3 1 6 8 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 8 ,
  3 1 2 3 4 5 2 2 6 7 9 0 4 5 -> 3 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 5 ,
  3 1 2 3 4 5 2 2 6 7 9 0 4 9 -> 3 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 9 ,
  3 1 2 3 4 5 2 2 6 7 9 0 4 7 -> 3 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 7 ,
  3 1 2 3 4 5 2 2 6 7 9 0 4 8 -> 3 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 8 ,
  0 1 2 3 4 5 2 2 6 7 9 0 4 5 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 5 ,
  0 1 2 3 4 5 2 2 6 7 9 0 4 9 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 9 ,
  0 1 2 3 4 5 2 2 6 7 9 0 4 7 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 7 ,
  0 1 2 3 4 5 2 2 6 7 9 0 4 8 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 8 ,
  9 1 2 3 4 5 2 2 6 7 9 0 4 5 -> 9 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 5 ,
  9 1 2 3 4 5 2 2 6 7 9 0 4 9 -> 9 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 9 ,
  9 1 2 3 4 5 2 2 6 7 9 0 4 7 -> 9 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 7 ,
  9 1 2 3 4 5 2 2 6 7 9 0 4 8 -> 9 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 8 ,
  10 1 2 3 4 5 2 2 6 7 9 0 4 5 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 5 ,
  10 1 2 3 4 5 2 2 6 7 9 0 4 9 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 9 ,
  10 1 2 3 4 5 2 2 6 7 9 0 4 7 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 7 ,
  10 1 2 3 4 5 2 2 6 7 9 0 4 8 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 9 4 8 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 8->7, 7->8, 9->9, 10->10 }, 
it remains to prove termination of the 33-rule system
{ 0 1 2 2 3 0 0 4 5 2 3 1 6 7 -> 1 3 0 1 3 1 2 3 1 2 2 2 2 6 5 3 4 7 ,
  3 1 2 3 4 5 2 2 6 8 9 0 4 5 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 5 ,
  3 1 2 3 4 5 2 2 6 8 9 0 4 9 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 9 ,
  3 1 2 3 4 5 2 2 6 8 9 0 4 8 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 8 ,
  3 1 2 3 4 5 2 2 6 8 9 0 4 7 -> 3 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 7 ,
  0 1 2 3 4 5 2 2 6 8 9 0 4 5 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 5 ,
  0 1 2 3 4 5 2 2 6 8 9 0 4 9 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 9 ,
  0 1 2 3 4 5 2 2 6 8 9 0 4 8 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 8 ,
  0 1 2 3 4 5 2 2 6 8 9 0 4 7 -> 0 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 7 ,
  9 1 2 3 4 5 2 2 6 8 9 0 4 5 -> 9 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 5 ,
  9 1 2 3 4 5 2 2 6 8 9 0 4 9 -> 9 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 9 ,
  9 1 2 3 4 5 2 2 6 8 9 0 4 8 -> 9 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 8 ,
  9 1 2 3 4 5 2 2 6 8 9 0 4 7 -> 9 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 7 ,
  10 1 2 3 4 5 2 2 6 8 9 0 4 5 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 5 ,
  10 1 2 3 4 5 2 2 6 8 9 0 4 9 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 9 ,
  10 1 2 3 4 5 2 2 6 8 9 0 4 8 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 8 ,
  10 1 2 3 4 5 2 2 6 8 9 0 4 7 -> 10 1 2 2 3 1 6 8 5 3 0 0 1 3 4 9 4 7 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  3 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  0 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  9 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 9 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 5 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 9 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 8 ,
  10 0 0 0 1 3 1 6 9 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 9 1 6 7 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 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 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 1 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 { 3->0, 1->1, 2->2, 4->3, 5->4, 6->5, 8->6, 9->7, 0->8, 7->9, 10->10 }, 
it remains to prove termination of the 32-rule system
{ 0 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 31-rule system
{ 0 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 30-rule system
{ 0 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  0 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 29-rule system
{ 0 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 0 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  8 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 8 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  7 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 7 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 4 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 4 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 7 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 7 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 6 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 6 ,
  10 1 2 0 3 4 2 2 5 6 7 8 3 9 -> 10 1 2 2 0 1 5 6 4 0 8 8 1 0 3 7 3 9 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  0 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 0 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  8 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 8 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  7 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 7 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 4 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 4 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 7 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 7 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 6 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 6 ,
  10 8 8 8 1 0 1 5 7 8 1 2 5 9 -> 10 8 8 1 2 0 1 0 8 1 0 1 2 5 7 1 5 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 { 8->0, 1->1, 2->2, 0->3, 3->4, 4->5, 5->6, 6->7, 7->8, 9->9, 10->10 }, 
it remains to prove termination of the 28-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 27-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 26-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 25-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 0 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  8 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 8 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 5 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 5 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 8 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 8 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 7 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 7 ,
  10 1 2 3 4 5 2 2 6 7 8 0 4 9 -> 10 1 2 2 3 1 6 7 5 3 0 0 1 3 4 8 4 9 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  3 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 3 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  0 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 0 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  8 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 8 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 5 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 5 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 8 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 8 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 7 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 7 ,
  10 0 0 0 1 3 1 6 8 0 1 2 6 9 -> 10 0 0 1 2 3 1 3 0 1 3 1 2 6 8 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 { 8->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 0->8, 9->9, 10->10 }, 
it remains to prove termination of the 24-rule system
{ 0 1 2 3 4 5 2 2 6 7 0 8 4 5 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 5 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 5 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 5 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 23-rule system
{ 0 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 5 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 5 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 22-rule system
{ 0 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  0 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 5 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 5 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 21-rule system
{ 0 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 0 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 5 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 5 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 0 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 0 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 7 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 7 ,
  10 1 2 3 4 5 2 2 6 7 0 8 4 9 -> 10 1 2 2 3 1 6 7 5 3 8 8 1 3 4 0 4 9 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  3 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 3 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  8 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 8 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  0 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 0 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 5 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 5 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 0 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 0 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 7 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 7 ,
  10 8 8 8 1 3 1 6 0 8 1 2 6 9 -> 10 8 8 1 2 3 1 3 8 1 3 1 2 6 0 1 6 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 { 10->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 0->8, 8->9, 9->10 }, 
it remains to prove termination of the 20-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 9 4 5 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 5 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 8 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 8 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 7 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 10 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 10 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 19-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 9 4 8 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 8 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 7 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 10 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 10 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 18-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 9 4 7 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 7 ,
  0 1 2 3 4 5 2 2 6 7 8 9 4 10 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 10 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 6->6, 7->7, 8->8, 9->9, 10->10 }, 
it remains to prove termination of the 17-rule system
{ 0 1 2 3 4 5 2 2 6 7 8 9 4 10 -> 0 1 2 2 3 1 6 7 5 3 9 9 1 3 4 8 4 10 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  3 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 3 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  9 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 9 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  8 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 8 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 5 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 5 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 8 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 8 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 7 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 7 ,
  0 9 9 9 1 3 1 6 8 9 1 2 6 10 -> 0 9 9 1 2 3 1 3 9 1 3 1 2 6 8 1 6 10 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 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 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 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 |
 \                             /
2 is interpreted by
 /                             \
| 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
6 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
7 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
8 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
9 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
10 is interpreted by
 /                             \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /

After renaming modulo { 3->0, 9->1, 1->2, 6->3, 8->4, 2->5, 5->6, 7->7, 10->8, 0->9 }, 
it remains to prove termination of the 16-rule system
{ 0 1 1 1 2 0 2 3 4 1 2 5 3 6 -> 0 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 6 ,
  0 1 1 1 2 0 2 3 4 1 2 5 3 4 -> 0 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 4 ,
  0 1 1 1 2 0 2 3 4 1 2 5 3 7 -> 0 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 7 ,
  0 1 1 1 2 0 2 3 4 1 2 5 3 8 -> 0 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 8 ,
  1 1 1 1 2 0 2 3 4 1 2 5 3 6 -> 1 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 6 ,
  1 1 1 1 2 0 2 3 4 1 2 5 3 4 -> 1 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 4 ,
  1 1 1 1 2 0 2 3 4 1 2 5 3 7 -> 1 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 7 ,
  1 1 1 1 2 0 2 3 4 1 2 5 3 8 -> 1 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 8 ,
  4 1 1 1 2 0 2 3 4 1 2 5 3 6 -> 4 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 6 ,
  4 1 1 1 2 0 2 3 4 1 2 5 3 4 -> 4 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 4 ,
  4 1 1 1 2 0 2 3 4 1 2 5 3 7 -> 4 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 7 ,
  4 1 1 1 2 0 2 3 4 1 2 5 3 8 -> 4 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 8 ,
  9 1 1 1 2 0 2 3 4 1 2 5 3 6 -> 9 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 6 ,
  9 1 1 1 2 0 2 3 4 1 2 5 3 4 -> 9 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 4 ,
  9 1 1 1 2 0 2 3 4 1 2 5 3 7 -> 9 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 7 ,
  9 1 1 1 2 0 2 3 4 1 2 5 3 8 -> 9 1 1 2 5 0 2 0 1 2 0 2 5 3 4 2 3 8 }


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

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

The system is trivially terminating.