YES

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 50-rule system
{ 0 1 0 -> 0 2 1 0 ,
  0 1 0 -> 0 0 2 1 0 ,
  0 1 0 -> 0 0 2 1 2 ,
  0 1 0 -> 0 2 1 0 2 ,
  0 1 0 -> 0 3 2 1 0 ,
  0 1 0 -> 1 0 0 0 2 ,
  0 1 0 -> 1 0 0 2 0 ,
  0 1 0 -> 1 0 4 2 0 ,
  0 1 0 -> 1 4 0 4 0 ,
  0 1 0 -> 4 0 0 2 1 ,
  0 1 0 -> 5 0 0 4 1 ,
  0 1 0 -> 5 1 0 4 0 ,
  0 1 0 -> 0 2 1 0 3 2 ,
  0 1 0 -> 0 4 0 4 1 3 ,
  0 1 0 -> 0 4 2 2 1 0 ,
  0 1 0 -> 0 5 2 1 2 0 ,
  0 1 0 -> 0 5 2 5 1 0 ,
  0 1 0 -> 1 0 0 5 4 4 ,
  0 1 0 -> 1 0 4 4 4 0 ,
  0 1 0 -> 1 5 0 0 4 2 ,
  0 1 0 -> 3 0 0 4 1 4 ,
  0 1 0 -> 4 5 1 0 2 0 ,
  0 1 0 -> 5 5 1 0 0 2 ,
  0 0 1 0 -> 1 0 0 2 0 ,
  0 0 1 0 -> 0 1 5 0 0 2 ,
  0 1 0 3 -> 1 0 3 3 0 2 ,
  0 1 0 3 -> 1 0 5 3 2 0 ,
  0 1 1 0 -> 0 4 4 1 1 0 ,
  0 1 1 3 -> 3 4 5 1 1 0 ,
  0 1 2 0 -> 1 1 0 2 0 ,
  0 1 2 0 -> 3 0 2 1 0 ,
  0 1 2 0 -> 4 1 0 0 2 ,
  0 1 2 0 -> 0 0 4 2 5 1 ,
  0 1 2 0 -> 1 1 2 0 4 0 ,
  0 1 2 0 -> 3 0 2 1 0 4 ,
  0 1 3 0 -> 1 0 3 0 2 ,
  0 1 4 0 -> 0 3 4 2 1 0 ,
  0 1 5 0 -> 0 5 1 4 0 ,
  0 1 5 0 -> 1 5 3 0 2 0 ,
  0 3 1 0 -> 1 2 3 0 5 0 ,
  5 0 1 0 -> 1 4 0 0 5 1 ,
  5 0 1 0 -> 2 1 0 0 4 5 ,
  0 1 0 0 0 -> 0 0 5 1 0 0 ,
  0 1 2 4 0 -> 0 0 5 4 2 1 ,
  0 1 2 5 0 -> 1 0 2 0 5 4 ,
  0 1 4 0 0 -> 0 0 0 4 1 0 ,
  0 1 4 5 0 -> 1 5 0 0 4 2 ,
  0 3 0 1 0 -> 0 3 0 0 2 1 ,
  3 0 3 1 0 -> 0 1 3 2 3 0 ,
  5 0 1 2 0 -> 0 0 5 2 1 0 }


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

After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (0,2)->3, (2,1)->4, (0,3)->5, (0,4)->6, (0,5)->7, (0,7)->8, (2,0)->9, (3,0)->10, (4,0)->11, (5,0)->12, (6,0)->13, (1,2)->14, (2,2)->15, (2,3)->16, (2,4)->17, (2,5)->18, (2,7)->19, (3,2)->20, (1,1)->21, (3,1)->22, (4,1)->23, (5,1)->24, (6,1)->25, (4,2)->26, (1,4)->27, (1,3)->28, (1,5)->29, (1,7)->30, (3,4)->31, (4,4)->32, (5,4)->33, (6,4)->34, (3,5)->35, (4,5)->36, (5,5)->37, (6,5)->38, (3,3)->39, (3,7)->40, (5,2)->41, (4,3)->42, (4,7)->43, (5,3)->44, (6,3)->45, (5,7)->46, (6,2)->47 },
it remains to prove termination of the 2450-rule system
{ 0 1 2 0 -> 0 3 4 2 0 ,
  0 1 2 1 -> 0 3 4 2 1 ,
  0 1 2 3 -> 0 3 4 2 3 ,
  0 1 2 5 -> 0 3 4 2 5 ,
  0 1 2 6 -> 0 3 4 2 6 ,
  0 1 2 7 -> 0 3 4 2 7 ,
  0 1 2 8 -> 0 3 4 2 8 ,
  2 1 2 0 -> 2 3 4 2 0 ,
  2 1 2 1 -> 2 3 4 2 1 ,
  2 1 2 3 -> 2 3 4 2 3 ,
  2 1 2 5 -> 2 3 4 2 5 ,
  2 1 2 6 -> 2 3 4 2 6 ,
  2 1 2 7 -> 2 3 4 2 7 ,
  2 1 2 8 -> 2 3 4 2 8 ,
  9 1 2 0 -> 9 3 4 2 0 ,
  9 1 2 1 -> 9 3 4 2 1 ,
  9 1 2 3 -> 9 3 4 2 3 ,
  9 1 2 5 -> 9 3 4 2 5 ,
  9 1 2 6 -> 9 3 4 2 6 ,
  9 1 2 7 -> 9 3 4 2 7 ,
  9 1 2 8 -> 9 3 4 2 8 ,
  10 1 2 0 -> 10 3 4 2 0 ,
  10 1 2 1 -> 10 3 4 2 1 ,
  10 1 2 3 -> 10 3 4 2 3 ,
  10 1 2 5 -> 10 3 4 2 5 ,
  10 1 2 6 -> 10 3 4 2 6 ,
  10 1 2 7 -> 10 3 4 2 7 ,
  10 1 2 8 -> 10 3 4 2 8 ,
  11 1 2 0 -> 11 3 4 2 0 ,
  11 1 2 1 -> 11 3 4 2 1 ,
  11 1 2 3 -> 11 3 4 2 3 ,
  11 1 2 5 -> 11 3 4 2 5 ,
  11 1 2 6 -> 11 3 4 2 6 ,
  11 1 2 7 -> 11 3 4 2 7 ,
  11 1 2 8 -> 11 3 4 2 8 ,
  12 1 2 0 -> 12 3 4 2 0 ,
  12 1 2 1 -> 12 3 4 2 1 ,
  12 1 2 3 -> 12 3 4 2 3 ,
  12 1 2 5 -> 12 3 4 2 5 ,
  12 1 2 6 -> 12 3 4 2 6 ,
  12 1 2 7 -> 12 3 4 2 7 ,
  12 1 2 8 -> 12 3 4 2 8 ,
  13 1 2 0 -> 13 3 4 2 0 ,
  13 1 2 1 -> 13 3 4 2 1 ,
  13 1 2 3 -> 13 3 4 2 3 ,
  13 1 2 5 -> 13 3 4 2 5 ,
  13 1 2 6 -> 13 3 4 2 6 ,
  13 1 2 7 -> 13 3 4 2 7 ,
  13 1 2 8 -> 13 3 4 2 8 ,
  0 1 2 0 -> 0 0 3 4 2 0 ,
  0 1 2 1 -> 0 0 3 4 2 1 ,
  0 1 2 3 -> 0 0 3 4 2 3 ,
  0 1 2 5 -> 0 0 3 4 2 5 ,
  0 1 2 6 -> 0 0 3 4 2 6 ,
  0 1 2 7 -> 0 0 3 4 2 7 ,
  0 1 2 8 -> 0 0 3 4 2 8 ,
  2 1 2 0 -> 2 0 3 4 2 0 ,
  2 1 2 1 -> 2 0 3 4 2 1 ,
  2 1 2 3 -> 2 0 3 4 2 3 ,
  2 1 2 5 -> 2 0 3 4 2 5 ,
  2 1 2 6 -> 2 0 3 4 2 6 ,
  2 1 2 7 -> 2 0 3 4 2 7 ,
  2 1 2 8 -> 2 0 3 4 2 8 ,
  9 1 2 0 -> 9 0 3 4 2 0 ,
  9 1 2 1 -> 9 0 3 4 2 1 ,
  9 1 2 3 -> 9 0 3 4 2 3 ,
  9 1 2 5 -> 9 0 3 4 2 5 ,
  9 1 2 6 -> 9 0 3 4 2 6 ,
  9 1 2 7 -> 9 0 3 4 2 7 ,
  9 1 2 8 -> 9 0 3 4 2 8 ,
  10 1 2 0 -> 10 0 3 4 2 0 ,
  10 1 2 1 -> 10 0 3 4 2 1 ,
  10 1 2 3 -> 10 0 3 4 2 3 ,
  10 1 2 5 -> 10 0 3 4 2 5 ,
  10 1 2 6 -> 10 0 3 4 2 6 ,
  10 1 2 7 -> 10 0 3 4 2 7 ,
  10 1 2 8 -> 10 0 3 4 2 8 ,
  11 1 2 0 -> 11 0 3 4 2 0 ,
  11 1 2 1 -> 11 0 3 4 2 1 ,
  11 1 2 3 -> 11 0 3 4 2 3 ,
  11 1 2 5 -> 11 0 3 4 2 5 ,
  11 1 2 6 -> 11 0 3 4 2 6 ,
  11 1 2 7 -> 11 0 3 4 2 7 ,
  11 1 2 8 -> 11 0 3 4 2 8 ,
  12 1 2 0 -> 12 0 3 4 2 0 ,
  12 1 2 1 -> 12 0 3 4 2 1 ,
  12 1 2 3 -> 12 0 3 4 2 3 ,
  12 1 2 5 -> 12 0 3 4 2 5 ,
  12 1 2 6 -> 12 0 3 4 2 6 ,
  12 1 2 7 -> 12 0 3 4 2 7 ,
  12 1 2 8 -> 12 0 3 4 2 8 ,
  13 1 2 0 -> 13 0 3 4 2 0 ,
  13 1 2 1 -> 13 0 3 4 2 1 ,
  13 1 2 3 -> 13 0 3 4 2 3 ,
  13 1 2 5 -> 13 0 3 4 2 5 ,
  13 1 2 6 -> 13 0 3 4 2 6 ,
  13 1 2 7 -> 13 0 3 4 2 7 ,
  13 1 2 8 -> 13 0 3 4 2 8 ,
  0 1 2 0 -> 0 0 3 4 14 9 ,
  0 1 2 1 -> 0 0 3 4 14 4 ,
  0 1 2 3 -> 0 0 3 4 14 15 ,
  0 1 2 5 -> 0 0 3 4 14 16 ,
  0 1 2 6 -> 0 0 3 4 14 17 ,
  0 1 2 7 -> 0 0 3 4 14 18 ,
  0 1 2 8 -> 0 0 3 4 14 19 ,
  2 1 2 0 -> 2 0 3 4 14 9 ,
  2 1 2 1 -> 2 0 3 4 14 4 ,
  2 1 2 3 -> 2 0 3 4 14 15 ,
  2 1 2 5 -> 2 0 3 4 14 16 ,
  2 1 2 6 -> 2 0 3 4 14 17 ,
  2 1 2 7 -> 2 0 3 4 14 18 ,
  2 1 2 8 -> 2 0 3 4 14 19 ,
  9 1 2 0 -> 9 0 3 4 14 9 ,
  9 1 2 1 -> 9 0 3 4 14 4 ,
  9 1 2 3 -> 9 0 3 4 14 15 ,
  9 1 2 5 -> 9 0 3 4 14 16 ,
  9 1 2 6 -> 9 0 3 4 14 17 ,
  9 1 2 7 -> 9 0 3 4 14 18 ,
  9 1 2 8 -> 9 0 3 4 14 19 ,
  10 1 2 0 -> 10 0 3 4 14 9 ,
  10 1 2 1 -> 10 0 3 4 14 4 ,
  10 1 2 3 -> 10 0 3 4 14 15 ,
  10 1 2 5 -> 10 0 3 4 14 16 ,
  10 1 2 6 -> 10 0 3 4 14 17 ,
  10 1 2 7 -> 10 0 3 4 14 18 ,
  10 1 2 8 -> 10 0 3 4 14 19 ,
  11 1 2 0 -> 11 0 3 4 14 9 ,
  11 1 2 1 -> 11 0 3 4 14 4 ,
  11 1 2 3 -> 11 0 3 4 14 15 ,
  11 1 2 5 -> 11 0 3 4 14 16 ,
  11 1 2 6 -> 11 0 3 4 14 17 ,
  11 1 2 7 -> 11 0 3 4 14 18 ,
  11 1 2 8 -> 11 0 3 4 14 19 ,
  12 1 2 0 -> 12 0 3 4 14 9 ,
  12 1 2 1 -> 12 0 3 4 14 4 ,
  12 1 2 3 -> 12 0 3 4 14 15 ,
  12 1 2 5 -> 12 0 3 4 14 16 ,
  12 1 2 6 -> 12 0 3 4 14 17 ,
  12 1 2 7 -> 12 0 3 4 14 18 ,
  12 1 2 8 -> 12 0 3 4 14 19 ,
  13 1 2 0 -> 13 0 3 4 14 9 ,
  13 1 2 1 -> 13 0 3 4 14 4 ,
  13 1 2 3 -> 13 0 3 4 14 15 ,
  13 1 2 5 -> 13 0 3 4 14 16 ,
  13 1 2 6 -> 13 0 3 4 14 17 ,
  13 1 2 7 -> 13 0 3 4 14 18 ,
  13 1 2 8 -> 13 0 3 4 14 19 ,
  0 1 2 0 -> 0 3 4 2 3 9 ,
  0 1 2 1 -> 0 3 4 2 3 4 ,
  0 1 2 3 -> 0 3 4 2 3 15 ,
  0 1 2 5 -> 0 3 4 2 3 16 ,
  0 1 2 6 -> 0 3 4 2 3 17 ,
  0 1 2 7 -> 0 3 4 2 3 18 ,
  0 1 2 8 -> 0 3 4 2 3 19 ,
  2 1 2 0 -> 2 3 4 2 3 9 ,
  2 1 2 1 -> 2 3 4 2 3 4 ,
  2 1 2 3 -> 2 3 4 2 3 15 ,
  2 1 2 5 -> 2 3 4 2 3 16 ,
  2 1 2 6 -> 2 3 4 2 3 17 ,
  2 1 2 7 -> 2 3 4 2 3 18 ,
  2 1 2 8 -> 2 3 4 2 3 19 ,
  9 1 2 0 -> 9 3 4 2 3 9 ,
  9 1 2 1 -> 9 3 4 2 3 4 ,
  9 1 2 3 -> 9 3 4 2 3 15 ,
  9 1 2 5 -> 9 3 4 2 3 16 ,
  9 1 2 6 -> 9 3 4 2 3 17 ,
  9 1 2 7 -> 9 3 4 2 3 18 ,
  9 1 2 8 -> 9 3 4 2 3 19 ,
  10 1 2 0 -> 10 3 4 2 3 9 ,
  10 1 2 1 -> 10 3 4 2 3 4 ,
  10 1 2 3 -> 10 3 4 2 3 15 ,
  10 1 2 5 -> 10 3 4 2 3 16 ,
  10 1 2 6 -> 10 3 4 2 3 17 ,
  10 1 2 7 -> 10 3 4 2 3 18 ,
  10 1 2 8 -> 10 3 4 2 3 19 ,
  11 1 2 0 -> 11 3 4 2 3 9 ,
  11 1 2 1 -> 11 3 4 2 3 4 ,
  11 1 2 3 -> 11 3 4 2 3 15 ,
  11 1 2 5 -> 11 3 4 2 3 16 ,
  11 1 2 6 -> 11 3 4 2 3 17 ,
  11 1 2 7 -> 11 3 4 2 3 18 ,
  11 1 2 8 -> 11 3 4 2 3 19 ,
  12 1 2 0 -> 12 3 4 2 3 9 ,
  12 1 2 1 -> 12 3 4 2 3 4 ,
  12 1 2 3 -> 12 3 4 2 3 15 ,
  12 1 2 5 -> 12 3 4 2 3 16 ,
  12 1 2 6 -> 12 3 4 2 3 17 ,
  12 1 2 7 -> 12 3 4 2 3 18 ,
  12 1 2 8 -> 12 3 4 2 3 19 ,
  13 1 2 0 -> 13 3 4 2 3 9 ,
  13 1 2 1 -> 13 3 4 2 3 4 ,
  13 1 2 3 -> 13 3 4 2 3 15 ,
  13 1 2 5 -> 13 3 4 2 3 16 ,
  13 1 2 6 -> 13 3 4 2 3 17 ,
  13 1 2 7 -> 13 3 4 2 3 18 ,
  13 1 2 8 -> 13 3 4 2 3 19 ,
  0 1 2 0 -> 0 5 20 4 2 0 ,
  0 1 2 1 -> 0 5 20 4 2 1 ,
  0 1 2 3 -> 0 5 20 4 2 3 ,
  0 1 2 5 -> 0 5 20 4 2 5 ,
  0 1 2 6 -> 0 5 20 4 2 6 ,
  0 1 2 7 -> 0 5 20 4 2 7 ,
  0 1 2 8 -> 0 5 20 4 2 8 ,
  2 1 2 0 -> 2 5 20 4 2 0 ,
  2 1 2 1 -> 2 5 20 4 2 1 ,
  2 1 2 3 -> 2 5 20 4 2 3 ,
  2 1 2 5 -> 2 5 20 4 2 5 ,
  2 1 2 6 -> 2 5 20 4 2 6 ,
  2 1 2 7 -> 2 5 20 4 2 7 ,
  2 1 2 8 -> 2 5 20 4 2 8 ,
  9 1 2 0 -> 9 5 20 4 2 0 ,
  9 1 2 1 -> 9 5 20 4 2 1 ,
  9 1 2 3 -> 9 5 20 4 2 3 ,
  9 1 2 5 -> 9 5 20 4 2 5 ,
  9 1 2 6 -> 9 5 20 4 2 6 ,
  9 1 2 7 -> 9 5 20 4 2 7 ,
  9 1 2 8 -> 9 5 20 4 2 8 ,
  10 1 2 0 -> 10 5 20 4 2 0 ,
  10 1 2 1 -> 10 5 20 4 2 1 ,
  10 1 2 3 -> 10 5 20 4 2 3 ,
  10 1 2 5 -> 10 5 20 4 2 5 ,
  10 1 2 6 -> 10 5 20 4 2 6 ,
  10 1 2 7 -> 10 5 20 4 2 7 ,
  10 1 2 8 -> 10 5 20 4 2 8 ,
  11 1 2 0 -> 11 5 20 4 2 0 ,
  11 1 2 1 -> 11 5 20 4 2 1 ,
  11 1 2 3 -> 11 5 20 4 2 3 ,
  11 1 2 5 -> 11 5 20 4 2 5 ,
  11 1 2 6 -> 11 5 20 4 2 6 ,
  11 1 2 7 -> 11 5 20 4 2 7 ,
  11 1 2 8 -> 11 5 20 4 2 8 ,
  12 1 2 0 -> 12 5 20 4 2 0 ,
  12 1 2 1 -> 12 5 20 4 2 1 ,
  12 1 2 3 -> 12 5 20 4 2 3 ,
  12 1 2 5 -> 12 5 20 4 2 5 ,
  12 1 2 6 -> 12 5 20 4 2 6 ,
  12 1 2 7 -> 12 5 20 4 2 7 ,
  12 1 2 8 -> 12 5 20 4 2 8 ,
  13 1 2 0 -> 13 5 20 4 2 0 ,
  13 1 2 1 -> 13 5 20 4 2 1 ,
  13 1 2 3 -> 13 5 20 4 2 3 ,
  13 1 2 5 -> 13 5 20 4 2 5 ,
  13 1 2 6 -> 13 5 20 4 2 6 ,
  13 1 2 7 -> 13 5 20 4 2 7 ,
  13 1 2 8 -> 13 5 20 4 2 8 ,
  0 1 2 0 -> 1 2 0 0 3 9 ,
  0 1 2 1 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 15 ,
  0 1 2 5 -> 1 2 0 0 3 16 ,
  0 1 2 6 -> 1 2 0 0 3 17 ,
  0 1 2 7 -> 1 2 0 0 3 18 ,
  0 1 2 8 -> 1 2 0 0 3 19 ,
  2 1 2 0 -> 21 2 0 0 3 9 ,
  2 1 2 1 -> 21 2 0 0 3 4 ,
  2 1 2 3 -> 21 2 0 0 3 15 ,
  2 1 2 5 -> 21 2 0 0 3 16 ,
  2 1 2 6 -> 21 2 0 0 3 17 ,
  2 1 2 7 -> 21 2 0 0 3 18 ,
  2 1 2 8 -> 21 2 0 0 3 19 ,
  9 1 2 0 -> 4 2 0 0 3 9 ,
  9 1 2 1 -> 4 2 0 0 3 4 ,
  9 1 2 3 -> 4 2 0 0 3 15 ,
  9 1 2 5 -> 4 2 0 0 3 16 ,
  9 1 2 6 -> 4 2 0 0 3 17 ,
  9 1 2 7 -> 4 2 0 0 3 18 ,
  9 1 2 8 -> 4 2 0 0 3 19 ,
  10 1 2 0 -> 22 2 0 0 3 9 ,
  10 1 2 1 -> 22 2 0 0 3 4 ,
  10 1 2 3 -> 22 2 0 0 3 15 ,
  10 1 2 5 -> 22 2 0 0 3 16 ,
  10 1 2 6 -> 22 2 0 0 3 17 ,
  10 1 2 7 -> 22 2 0 0 3 18 ,
  10 1 2 8 -> 22 2 0 0 3 19 ,
  11 1 2 0 -> 23 2 0 0 3 9 ,
  11 1 2 1 -> 23 2 0 0 3 4 ,
  11 1 2 3 -> 23 2 0 0 3 15 ,
  11 1 2 5 -> 23 2 0 0 3 16 ,
  11 1 2 6 -> 23 2 0 0 3 17 ,
  11 1 2 7 -> 23 2 0 0 3 18 ,
  11 1 2 8 -> 23 2 0 0 3 19 ,
  12 1 2 0 -> 24 2 0 0 3 9 ,
  12 1 2 1 -> 24 2 0 0 3 4 ,
  12 1 2 3 -> 24 2 0 0 3 15 ,
  12 1 2 5 -> 24 2 0 0 3 16 ,
  12 1 2 6 -> 24 2 0 0 3 17 ,
  12 1 2 7 -> 24 2 0 0 3 18 ,
  12 1 2 8 -> 24 2 0 0 3 19 ,
  13 1 2 0 -> 25 2 0 0 3 9 ,
  13 1 2 1 -> 25 2 0 0 3 4 ,
  13 1 2 3 -> 25 2 0 0 3 15 ,
  13 1 2 5 -> 25 2 0 0 3 16 ,
  13 1 2 6 -> 25 2 0 0 3 17 ,
  13 1 2 7 -> 25 2 0 0 3 18 ,
  13 1 2 8 -> 25 2 0 0 3 19 ,
  0 1 2 0 -> 1 2 0 3 9 0 ,
  0 1 2 1 -> 1 2 0 3 9 1 ,
  0 1 2 3 -> 1 2 0 3 9 3 ,
  0 1 2 5 -> 1 2 0 3 9 5 ,
  0 1 2 6 -> 1 2 0 3 9 6 ,
  0 1 2 7 -> 1 2 0 3 9 7 ,
  0 1 2 8 -> 1 2 0 3 9 8 ,
  2 1 2 0 -> 21 2 0 3 9 0 ,
  2 1 2 1 -> 21 2 0 3 9 1 ,
  2 1 2 3 -> 21 2 0 3 9 3 ,
  2 1 2 5 -> 21 2 0 3 9 5 ,
  2 1 2 6 -> 21 2 0 3 9 6 ,
  2 1 2 7 -> 21 2 0 3 9 7 ,
  2 1 2 8 -> 21 2 0 3 9 8 ,
  9 1 2 0 -> 4 2 0 3 9 0 ,
  9 1 2 1 -> 4 2 0 3 9 1 ,
  9 1 2 3 -> 4 2 0 3 9 3 ,
  9 1 2 5 -> 4 2 0 3 9 5 ,
  9 1 2 6 -> 4 2 0 3 9 6 ,
  9 1 2 7 -> 4 2 0 3 9 7 ,
  9 1 2 8 -> 4 2 0 3 9 8 ,
  10 1 2 0 -> 22 2 0 3 9 0 ,
  10 1 2 1 -> 22 2 0 3 9 1 ,
  10 1 2 3 -> 22 2 0 3 9 3 ,
  10 1 2 5 -> 22 2 0 3 9 5 ,
  10 1 2 6 -> 22 2 0 3 9 6 ,
  10 1 2 7 -> 22 2 0 3 9 7 ,
  10 1 2 8 -> 22 2 0 3 9 8 ,
  11 1 2 0 -> 23 2 0 3 9 0 ,
  11 1 2 1 -> 23 2 0 3 9 1 ,
  11 1 2 3 -> 23 2 0 3 9 3 ,
  11 1 2 5 -> 23 2 0 3 9 5 ,
  11 1 2 6 -> 23 2 0 3 9 6 ,
  11 1 2 7 -> 23 2 0 3 9 7 ,
  11 1 2 8 -> 23 2 0 3 9 8 ,
  12 1 2 0 -> 24 2 0 3 9 0 ,
  12 1 2 1 -> 24 2 0 3 9 1 ,
  12 1 2 3 -> 24 2 0 3 9 3 ,
  12 1 2 5 -> 24 2 0 3 9 5 ,
  12 1 2 6 -> 24 2 0 3 9 6 ,
  12 1 2 7 -> 24 2 0 3 9 7 ,
  12 1 2 8 -> 24 2 0 3 9 8 ,
  13 1 2 0 -> 25 2 0 3 9 0 ,
  13 1 2 1 -> 25 2 0 3 9 1 ,
  13 1 2 3 -> 25 2 0 3 9 3 ,
  13 1 2 5 -> 25 2 0 3 9 5 ,
  13 1 2 6 -> 25 2 0 3 9 6 ,
  13 1 2 7 -> 25 2 0 3 9 7 ,
  13 1 2 8 -> 25 2 0 3 9 8 ,
  0 1 2 0 -> 1 2 6 26 9 0 ,
  0 1 2 1 -> 1 2 6 26 9 1 ,
  0 1 2 3 -> 1 2 6 26 9 3 ,
  0 1 2 5 -> 1 2 6 26 9 5 ,
  0 1 2 6 -> 1 2 6 26 9 6 ,
  0 1 2 7 -> 1 2 6 26 9 7 ,
  0 1 2 8 -> 1 2 6 26 9 8 ,
  2 1 2 0 -> 21 2 6 26 9 0 ,
  2 1 2 1 -> 21 2 6 26 9 1 ,
  2 1 2 3 -> 21 2 6 26 9 3 ,
  2 1 2 5 -> 21 2 6 26 9 5 ,
  2 1 2 6 -> 21 2 6 26 9 6 ,
  2 1 2 7 -> 21 2 6 26 9 7 ,
  2 1 2 8 -> 21 2 6 26 9 8 ,
  9 1 2 0 -> 4 2 6 26 9 0 ,
  9 1 2 1 -> 4 2 6 26 9 1 ,
  9 1 2 3 -> 4 2 6 26 9 3 ,
  9 1 2 5 -> 4 2 6 26 9 5 ,
  9 1 2 6 -> 4 2 6 26 9 6 ,
  9 1 2 7 -> 4 2 6 26 9 7 ,
  9 1 2 8 -> 4 2 6 26 9 8 ,
  10 1 2 0 -> 22 2 6 26 9 0 ,
  10 1 2 1 -> 22 2 6 26 9 1 ,
  10 1 2 3 -> 22 2 6 26 9 3 ,
  10 1 2 5 -> 22 2 6 26 9 5 ,
  10 1 2 6 -> 22 2 6 26 9 6 ,
  10 1 2 7 -> 22 2 6 26 9 7 ,
  10 1 2 8 -> 22 2 6 26 9 8 ,
  11 1 2 0 -> 23 2 6 26 9 0 ,
  11 1 2 1 -> 23 2 6 26 9 1 ,
  11 1 2 3 -> 23 2 6 26 9 3 ,
  11 1 2 5 -> 23 2 6 26 9 5 ,
  11 1 2 6 -> 23 2 6 26 9 6 ,
  11 1 2 7 -> 23 2 6 26 9 7 ,
  11 1 2 8 -> 23 2 6 26 9 8 ,
  12 1 2 0 -> 24 2 6 26 9 0 ,
  12 1 2 1 -> 24 2 6 26 9 1 ,
  12 1 2 3 -> 24 2 6 26 9 3 ,
  12 1 2 5 -> 24 2 6 26 9 5 ,
  12 1 2 6 -> 24 2 6 26 9 6 ,
  12 1 2 7 -> 24 2 6 26 9 7 ,
  12 1 2 8 -> 24 2 6 26 9 8 ,
  13 1 2 0 -> 25 2 6 26 9 0 ,
  13 1 2 1 -> 25 2 6 26 9 1 ,
  13 1 2 3 -> 25 2 6 26 9 3 ,
  13 1 2 5 -> 25 2 6 26 9 5 ,
  13 1 2 6 -> 25 2 6 26 9 6 ,
  13 1 2 7 -> 25 2 6 26 9 7 ,
  13 1 2 8 -> 25 2 6 26 9 8 ,
  0 1 2 0 -> 1 27 11 6 11 0 ,
  0 1 2 1 -> 1 27 11 6 11 1 ,
  0 1 2 3 -> 1 27 11 6 11 3 ,
  0 1 2 5 -> 1 27 11 6 11 5 ,
  0 1 2 6 -> 1 27 11 6 11 6 ,
  0 1 2 7 -> 1 27 11 6 11 7 ,
  0 1 2 8 -> 1 27 11 6 11 8 ,
  2 1 2 0 -> 21 27 11 6 11 0 ,
  2 1 2 1 -> 21 27 11 6 11 1 ,
  2 1 2 3 -> 21 27 11 6 11 3 ,
  2 1 2 5 -> 21 27 11 6 11 5 ,
  2 1 2 6 -> 21 27 11 6 11 6 ,
  2 1 2 7 -> 21 27 11 6 11 7 ,
  2 1 2 8 -> 21 27 11 6 11 8 ,
  9 1 2 0 -> 4 27 11 6 11 0 ,
  9 1 2 1 -> 4 27 11 6 11 1 ,
  9 1 2 3 -> 4 27 11 6 11 3 ,
  9 1 2 5 -> 4 27 11 6 11 5 ,
  9 1 2 6 -> 4 27 11 6 11 6 ,
  9 1 2 7 -> 4 27 11 6 11 7 ,
  9 1 2 8 -> 4 27 11 6 11 8 ,
  10 1 2 0 -> 22 27 11 6 11 0 ,
  10 1 2 1 -> 22 27 11 6 11 1 ,
  10 1 2 3 -> 22 27 11 6 11 3 ,
  10 1 2 5 -> 22 27 11 6 11 5 ,
  10 1 2 6 -> 22 27 11 6 11 6 ,
  10 1 2 7 -> 22 27 11 6 11 7 ,
  10 1 2 8 -> 22 27 11 6 11 8 ,
  11 1 2 0 -> 23 27 11 6 11 0 ,
  11 1 2 1 -> 23 27 11 6 11 1 ,
  11 1 2 3 -> 23 27 11 6 11 3 ,
  11 1 2 5 -> 23 27 11 6 11 5 ,
  11 1 2 6 -> 23 27 11 6 11 6 ,
  11 1 2 7 -> 23 27 11 6 11 7 ,
  11 1 2 8 -> 23 27 11 6 11 8 ,
  12 1 2 0 -> 24 27 11 6 11 0 ,
  12 1 2 1 -> 24 27 11 6 11 1 ,
  12 1 2 3 -> 24 27 11 6 11 3 ,
  12 1 2 5 -> 24 27 11 6 11 5 ,
  12 1 2 6 -> 24 27 11 6 11 6 ,
  12 1 2 7 -> 24 27 11 6 11 7 ,
  12 1 2 8 -> 24 27 11 6 11 8 ,
  13 1 2 0 -> 25 27 11 6 11 0 ,
  13 1 2 1 -> 25 27 11 6 11 1 ,
  13 1 2 3 -> 25 27 11 6 11 3 ,
  13 1 2 5 -> 25 27 11 6 11 5 ,
  13 1 2 6 -> 25 27 11 6 11 6 ,
  13 1 2 7 -> 25 27 11 6 11 7 ,
  13 1 2 8 -> 25 27 11 6 11 8 ,
  0 1 2 0 -> 6 11 0 3 4 2 ,
  0 1 2 1 -> 6 11 0 3 4 21 ,
  0 1 2 3 -> 6 11 0 3 4 14 ,
  0 1 2 5 -> 6 11 0 3 4 28 ,
  0 1 2 6 -> 6 11 0 3 4 27 ,
  0 1 2 7 -> 6 11 0 3 4 29 ,
  0 1 2 8 -> 6 11 0 3 4 30 ,
  2 1 2 0 -> 27 11 0 3 4 2 ,
  2 1 2 1 -> 27 11 0 3 4 21 ,
  2 1 2 3 -> 27 11 0 3 4 14 ,
  2 1 2 5 -> 27 11 0 3 4 28 ,
  2 1 2 6 -> 27 11 0 3 4 27 ,
  2 1 2 7 -> 27 11 0 3 4 29 ,
  2 1 2 8 -> 27 11 0 3 4 30 ,
  9 1 2 0 -> 17 11 0 3 4 2 ,
  9 1 2 1 -> 17 11 0 3 4 21 ,
  9 1 2 3 -> 17 11 0 3 4 14 ,
  9 1 2 5 -> 17 11 0 3 4 28 ,
  9 1 2 6 -> 17 11 0 3 4 27 ,
  9 1 2 7 -> 17 11 0 3 4 29 ,
  9 1 2 8 -> 17 11 0 3 4 30 ,
  10 1 2 0 -> 31 11 0 3 4 2 ,
  10 1 2 1 -> 31 11 0 3 4 21 ,
  10 1 2 3 -> 31 11 0 3 4 14 ,
  10 1 2 5 -> 31 11 0 3 4 28 ,
  10 1 2 6 -> 31 11 0 3 4 27 ,
  10 1 2 7 -> 31 11 0 3 4 29 ,
  10 1 2 8 -> 31 11 0 3 4 30 ,
  11 1 2 0 -> 32 11 0 3 4 2 ,
  11 1 2 1 -> 32 11 0 3 4 21 ,
  11 1 2 3 -> 32 11 0 3 4 14 ,
  11 1 2 5 -> 32 11 0 3 4 28 ,
  11 1 2 6 -> 32 11 0 3 4 27 ,
  11 1 2 7 -> 32 11 0 3 4 29 ,
  11 1 2 8 -> 32 11 0 3 4 30 ,
  12 1 2 0 -> 33 11 0 3 4 2 ,
  12 1 2 1 -> 33 11 0 3 4 21 ,
  12 1 2 3 -> 33 11 0 3 4 14 ,
  12 1 2 5 -> 33 11 0 3 4 28 ,
  12 1 2 6 -> 33 11 0 3 4 27 ,
  12 1 2 7 -> 33 11 0 3 4 29 ,
  12 1 2 8 -> 33 11 0 3 4 30 ,
  13 1 2 0 -> 34 11 0 3 4 2 ,
  13 1 2 1 -> 34 11 0 3 4 21 ,
  13 1 2 3 -> 34 11 0 3 4 14 ,
  13 1 2 5 -> 34 11 0 3 4 28 ,
  13 1 2 6 -> 34 11 0 3 4 27 ,
  13 1 2 7 -> 34 11 0 3 4 29 ,
  13 1 2 8 -> 34 11 0 3 4 30 ,
  0 1 2 0 -> 7 12 0 6 23 2 ,
  0 1 2 1 -> 7 12 0 6 23 21 ,
  0 1 2 3 -> 7 12 0 6 23 14 ,
  0 1 2 5 -> 7 12 0 6 23 28 ,
  0 1 2 6 -> 7 12 0 6 23 27 ,
  0 1 2 7 -> 7 12 0 6 23 29 ,
  0 1 2 8 -> 7 12 0 6 23 30 ,
  2 1 2 0 -> 29 12 0 6 23 2 ,
  2 1 2 1 -> 29 12 0 6 23 21 ,
  2 1 2 3 -> 29 12 0 6 23 14 ,
  2 1 2 5 -> 29 12 0 6 23 28 ,
  2 1 2 6 -> 29 12 0 6 23 27 ,
  2 1 2 7 -> 29 12 0 6 23 29 ,
  2 1 2 8 -> 29 12 0 6 23 30 ,
  9 1 2 0 -> 18 12 0 6 23 2 ,
  9 1 2 1 -> 18 12 0 6 23 21 ,
  9 1 2 3 -> 18 12 0 6 23 14 ,
  9 1 2 5 -> 18 12 0 6 23 28 ,
  9 1 2 6 -> 18 12 0 6 23 27 ,
  9 1 2 7 -> 18 12 0 6 23 29 ,
  9 1 2 8 -> 18 12 0 6 23 30 ,
  10 1 2 0 -> 35 12 0 6 23 2 ,
  10 1 2 1 -> 35 12 0 6 23 21 ,
  10 1 2 3 -> 35 12 0 6 23 14 ,
  10 1 2 5 -> 35 12 0 6 23 28 ,
  10 1 2 6 -> 35 12 0 6 23 27 ,
  10 1 2 7 -> 35 12 0 6 23 29 ,
  10 1 2 8 -> 35 12 0 6 23 30 ,
  11 1 2 0 -> 36 12 0 6 23 2 ,
  11 1 2 1 -> 36 12 0 6 23 21 ,
  11 1 2 3 -> 36 12 0 6 23 14 ,
  11 1 2 5 -> 36 12 0 6 23 28 ,
  11 1 2 6 -> 36 12 0 6 23 27 ,
  11 1 2 7 -> 36 12 0 6 23 29 ,
  11 1 2 8 -> 36 12 0 6 23 30 ,
  12 1 2 0 -> 37 12 0 6 23 2 ,
  12 1 2 1 -> 37 12 0 6 23 21 ,
  12 1 2 3 -> 37 12 0 6 23 14 ,
  12 1 2 5 -> 37 12 0 6 23 28 ,
  12 1 2 6 -> 37 12 0 6 23 27 ,
  12 1 2 7 -> 37 12 0 6 23 29 ,
  12 1 2 8 -> 37 12 0 6 23 30 ,
  13 1 2 0 -> 38 12 0 6 23 2 ,
  13 1 2 1 -> 38 12 0 6 23 21 ,
  13 1 2 3 -> 38 12 0 6 23 14 ,
  13 1 2 5 -> 38 12 0 6 23 28 ,
  13 1 2 6 -> 38 12 0 6 23 27 ,
  13 1 2 7 -> 38 12 0 6 23 29 ,
  13 1 2 8 -> 38 12 0 6 23 30 ,
  0 1 2 0 -> 7 24 2 6 11 0 ,
  0 1 2 1 -> 7 24 2 6 11 1 ,
  0 1 2 3 -> 7 24 2 6 11 3 ,
  0 1 2 5 -> 7 24 2 6 11 5 ,
  0 1 2 6 -> 7 24 2 6 11 6 ,
  0 1 2 7 -> 7 24 2 6 11 7 ,
  0 1 2 8 -> 7 24 2 6 11 8 ,
  2 1 2 0 -> 29 24 2 6 11 0 ,
  2 1 2 1 -> 29 24 2 6 11 1 ,
  2 1 2 3 -> 29 24 2 6 11 3 ,
  2 1 2 5 -> 29 24 2 6 11 5 ,
  2 1 2 6 -> 29 24 2 6 11 6 ,
  2 1 2 7 -> 29 24 2 6 11 7 ,
  2 1 2 8 -> 29 24 2 6 11 8 ,
  9 1 2 0 -> 18 24 2 6 11 0 ,
  9 1 2 1 -> 18 24 2 6 11 1 ,
  9 1 2 3 -> 18 24 2 6 11 3 ,
  9 1 2 5 -> 18 24 2 6 11 5 ,
  9 1 2 6 -> 18 24 2 6 11 6 ,
  9 1 2 7 -> 18 24 2 6 11 7 ,
  9 1 2 8 -> 18 24 2 6 11 8 ,
  10 1 2 0 -> 35 24 2 6 11 0 ,
  10 1 2 1 -> 35 24 2 6 11 1 ,
  10 1 2 3 -> 35 24 2 6 11 3 ,
  10 1 2 5 -> 35 24 2 6 11 5 ,
  10 1 2 6 -> 35 24 2 6 11 6 ,
  10 1 2 7 -> 35 24 2 6 11 7 ,
  10 1 2 8 -> 35 24 2 6 11 8 ,
  11 1 2 0 -> 36 24 2 6 11 0 ,
  11 1 2 1 -> 36 24 2 6 11 1 ,
  11 1 2 3 -> 36 24 2 6 11 3 ,
  11 1 2 5 -> 36 24 2 6 11 5 ,
  11 1 2 6 -> 36 24 2 6 11 6 ,
  11 1 2 7 -> 36 24 2 6 11 7 ,
  11 1 2 8 -> 36 24 2 6 11 8 ,
  12 1 2 0 -> 37 24 2 6 11 0 ,
  12 1 2 1 -> 37 24 2 6 11 1 ,
  12 1 2 3 -> 37 24 2 6 11 3 ,
  12 1 2 5 -> 37 24 2 6 11 5 ,
  12 1 2 6 -> 37 24 2 6 11 6 ,
  12 1 2 7 -> 37 24 2 6 11 7 ,
  12 1 2 8 -> 37 24 2 6 11 8 ,
  13 1 2 0 -> 38 24 2 6 11 0 ,
  13 1 2 1 -> 38 24 2 6 11 1 ,
  13 1 2 3 -> 38 24 2 6 11 3 ,
  13 1 2 5 -> 38 24 2 6 11 5 ,
  13 1 2 6 -> 38 24 2 6 11 6 ,
  13 1 2 7 -> 38 24 2 6 11 7 ,
  13 1 2 8 -> 38 24 2 6 11 8 ,
  0 1 2 0 -> 0 3 4 2 5 20 9 ,
  0 1 2 1 -> 0 3 4 2 5 20 4 ,
  0 1 2 3 -> 0 3 4 2 5 20 15 ,
  0 1 2 5 -> 0 3 4 2 5 20 16 ,
  0 1 2 6 -> 0 3 4 2 5 20 17 ,
  0 1 2 7 -> 0 3 4 2 5 20 18 ,
  0 1 2 8 -> 0 3 4 2 5 20 19 ,
  2 1 2 0 -> 2 3 4 2 5 20 9 ,
  2 1 2 1 -> 2 3 4 2 5 20 4 ,
  2 1 2 3 -> 2 3 4 2 5 20 15 ,
  2 1 2 5 -> 2 3 4 2 5 20 16 ,
  2 1 2 6 -> 2 3 4 2 5 20 17 ,
  2 1 2 7 -> 2 3 4 2 5 20 18 ,
  2 1 2 8 -> 2 3 4 2 5 20 19 ,
  9 1 2 0 -> 9 3 4 2 5 20 9 ,
  9 1 2 1 -> 9 3 4 2 5 20 4 ,
  9 1 2 3 -> 9 3 4 2 5 20 15 ,
  9 1 2 5 -> 9 3 4 2 5 20 16 ,
  9 1 2 6 -> 9 3 4 2 5 20 17 ,
  9 1 2 7 -> 9 3 4 2 5 20 18 ,
  9 1 2 8 -> 9 3 4 2 5 20 19 ,
  10 1 2 0 -> 10 3 4 2 5 20 9 ,
  10 1 2 1 -> 10 3 4 2 5 20 4 ,
  10 1 2 3 -> 10 3 4 2 5 20 15 ,
  10 1 2 5 -> 10 3 4 2 5 20 16 ,
  10 1 2 6 -> 10 3 4 2 5 20 17 ,
  10 1 2 7 -> 10 3 4 2 5 20 18 ,
  10 1 2 8 -> 10 3 4 2 5 20 19 ,
  11 1 2 0 -> 11 3 4 2 5 20 9 ,
  11 1 2 1 -> 11 3 4 2 5 20 4 ,
  11 1 2 3 -> 11 3 4 2 5 20 15 ,
  11 1 2 5 -> 11 3 4 2 5 20 16 ,
  11 1 2 6 -> 11 3 4 2 5 20 17 ,
  11 1 2 7 -> 11 3 4 2 5 20 18 ,
  11 1 2 8 -> 11 3 4 2 5 20 19 ,
  12 1 2 0 -> 12 3 4 2 5 20 9 ,
  12 1 2 1 -> 12 3 4 2 5 20 4 ,
  12 1 2 3 -> 12 3 4 2 5 20 15 ,
  12 1 2 5 -> 12 3 4 2 5 20 16 ,
  12 1 2 6 -> 12 3 4 2 5 20 17 ,
  12 1 2 7 -> 12 3 4 2 5 20 18 ,
  12 1 2 8 -> 12 3 4 2 5 20 19 ,
  13 1 2 0 -> 13 3 4 2 5 20 9 ,
  13 1 2 1 -> 13 3 4 2 5 20 4 ,
  13 1 2 3 -> 13 3 4 2 5 20 15 ,
  13 1 2 5 -> 13 3 4 2 5 20 16 ,
  13 1 2 6 -> 13 3 4 2 5 20 17 ,
  13 1 2 7 -> 13 3 4 2 5 20 18 ,
  13 1 2 8 -> 13 3 4 2 5 20 19 ,
  0 1 2 0 -> 0 6 11 6 23 28 10 ,
  0 1 2 1 -> 0 6 11 6 23 28 22 ,
  0 1 2 3 -> 0 6 11 6 23 28 20 ,
  0 1 2 5 -> 0 6 11 6 23 28 39 ,
  0 1 2 6 -> 0 6 11 6 23 28 31 ,
  0 1 2 7 -> 0 6 11 6 23 28 35 ,
  0 1 2 8 -> 0 6 11 6 23 28 40 ,
  2 1 2 0 -> 2 6 11 6 23 28 10 ,
  2 1 2 1 -> 2 6 11 6 23 28 22 ,
  2 1 2 3 -> 2 6 11 6 23 28 20 ,
  2 1 2 5 -> 2 6 11 6 23 28 39 ,
  2 1 2 6 -> 2 6 11 6 23 28 31 ,
  2 1 2 7 -> 2 6 11 6 23 28 35 ,
  2 1 2 8 -> 2 6 11 6 23 28 40 ,
  9 1 2 0 -> 9 6 11 6 23 28 10 ,
  9 1 2 1 -> 9 6 11 6 23 28 22 ,
  9 1 2 3 -> 9 6 11 6 23 28 20 ,
  9 1 2 5 -> 9 6 11 6 23 28 39 ,
  9 1 2 6 -> 9 6 11 6 23 28 31 ,
  9 1 2 7 -> 9 6 11 6 23 28 35 ,
  9 1 2 8 -> 9 6 11 6 23 28 40 ,
  10 1 2 0 -> 10 6 11 6 23 28 10 ,
  10 1 2 1 -> 10 6 11 6 23 28 22 ,
  10 1 2 3 -> 10 6 11 6 23 28 20 ,
  10 1 2 5 -> 10 6 11 6 23 28 39 ,
  10 1 2 6 -> 10 6 11 6 23 28 31 ,
  10 1 2 7 -> 10 6 11 6 23 28 35 ,
  10 1 2 8 -> 10 6 11 6 23 28 40 ,
  11 1 2 0 -> 11 6 11 6 23 28 10 ,
  11 1 2 1 -> 11 6 11 6 23 28 22 ,
  11 1 2 3 -> 11 6 11 6 23 28 20 ,
  11 1 2 5 -> 11 6 11 6 23 28 39 ,
  11 1 2 6 -> 11 6 11 6 23 28 31 ,
  11 1 2 7 -> 11 6 11 6 23 28 35 ,
  11 1 2 8 -> 11 6 11 6 23 28 40 ,
  12 1 2 0 -> 12 6 11 6 23 28 10 ,
  12 1 2 1 -> 12 6 11 6 23 28 22 ,
  12 1 2 3 -> 12 6 11 6 23 28 20 ,
  12 1 2 5 -> 12 6 11 6 23 28 39 ,
  12 1 2 6 -> 12 6 11 6 23 28 31 ,
  12 1 2 7 -> 12 6 11 6 23 28 35 ,
  12 1 2 8 -> 12 6 11 6 23 28 40 ,
  13 1 2 0 -> 13 6 11 6 23 28 10 ,
  13 1 2 1 -> 13 6 11 6 23 28 22 ,
  13 1 2 3 -> 13 6 11 6 23 28 20 ,
  13 1 2 5 -> 13 6 11 6 23 28 39 ,
  13 1 2 6 -> 13 6 11 6 23 28 31 ,
  13 1 2 7 -> 13 6 11 6 23 28 35 ,
  13 1 2 8 -> 13 6 11 6 23 28 40 ,
  0 1 2 0 -> 0 6 26 15 4 2 0 ,
  0 1 2 1 -> 0 6 26 15 4 2 1 ,
  0 1 2 3 -> 0 6 26 15 4 2 3 ,
  0 1 2 5 -> 0 6 26 15 4 2 5 ,
  0 1 2 6 -> 0 6 26 15 4 2 6 ,
  0 1 2 7 -> 0 6 26 15 4 2 7 ,
  0 1 2 8 -> 0 6 26 15 4 2 8 ,
  2 1 2 0 -> 2 6 26 15 4 2 0 ,
  2 1 2 1 -> 2 6 26 15 4 2 1 ,
  2 1 2 3 -> 2 6 26 15 4 2 3 ,
  2 1 2 5 -> 2 6 26 15 4 2 5 ,
  2 1 2 6 -> 2 6 26 15 4 2 6 ,
  2 1 2 7 -> 2 6 26 15 4 2 7 ,
  2 1 2 8 -> 2 6 26 15 4 2 8 ,
  9 1 2 0 -> 9 6 26 15 4 2 0 ,
  9 1 2 1 -> 9 6 26 15 4 2 1 ,
  9 1 2 3 -> 9 6 26 15 4 2 3 ,
  9 1 2 5 -> 9 6 26 15 4 2 5 ,
  9 1 2 6 -> 9 6 26 15 4 2 6 ,
  9 1 2 7 -> 9 6 26 15 4 2 7 ,
  9 1 2 8 -> 9 6 26 15 4 2 8 ,
  10 1 2 0 -> 10 6 26 15 4 2 0 ,
  10 1 2 1 -> 10 6 26 15 4 2 1 ,
  10 1 2 3 -> 10 6 26 15 4 2 3 ,
  10 1 2 5 -> 10 6 26 15 4 2 5 ,
  10 1 2 6 -> 10 6 26 15 4 2 6 ,
  10 1 2 7 -> 10 6 26 15 4 2 7 ,
  10 1 2 8 -> 10 6 26 15 4 2 8 ,
  11 1 2 0 -> 11 6 26 15 4 2 0 ,
  11 1 2 1 -> 11 6 26 15 4 2 1 ,
  11 1 2 3 -> 11 6 26 15 4 2 3 ,
  11 1 2 5 -> 11 6 26 15 4 2 5 ,
  11 1 2 6 -> 11 6 26 15 4 2 6 ,
  11 1 2 7 -> 11 6 26 15 4 2 7 ,
  11 1 2 8 -> 11 6 26 15 4 2 8 ,
  12 1 2 0 -> 12 6 26 15 4 2 0 ,
  12 1 2 1 -> 12 6 26 15 4 2 1 ,
  12 1 2 3 -> 12 6 26 15 4 2 3 ,
  12 1 2 5 -> 12 6 26 15 4 2 5 ,
  12 1 2 6 -> 12 6 26 15 4 2 6 ,
  12 1 2 7 -> 12 6 26 15 4 2 7 ,
  12 1 2 8 -> 12 6 26 15 4 2 8 ,
  13 1 2 0 -> 13 6 26 15 4 2 0 ,
  13 1 2 1 -> 13 6 26 15 4 2 1 ,
  13 1 2 3 -> 13 6 26 15 4 2 3 ,
  13 1 2 5 -> 13 6 26 15 4 2 5 ,
  13 1 2 6 -> 13 6 26 15 4 2 6 ,
  13 1 2 7 -> 13 6 26 15 4 2 7 ,
  13 1 2 8 -> 13 6 26 15 4 2 8 ,
  0 1 2 0 -> 0 7 41 4 14 9 0 ,
  0 1 2 1 -> 0 7 41 4 14 9 1 ,
  0 1 2 3 -> 0 7 41 4 14 9 3 ,
  0 1 2 5 -> 0 7 41 4 14 9 5 ,
  0 1 2 6 -> 0 7 41 4 14 9 6 ,
  0 1 2 7 -> 0 7 41 4 14 9 7 ,
  0 1 2 8 -> 0 7 41 4 14 9 8 ,
  2 1 2 0 -> 2 7 41 4 14 9 0 ,
  2 1 2 1 -> 2 7 41 4 14 9 1 ,
  2 1 2 3 -> 2 7 41 4 14 9 3 ,
  2 1 2 5 -> 2 7 41 4 14 9 5 ,
  2 1 2 6 -> 2 7 41 4 14 9 6 ,
  2 1 2 7 -> 2 7 41 4 14 9 7 ,
  2 1 2 8 -> 2 7 41 4 14 9 8 ,
  9 1 2 0 -> 9 7 41 4 14 9 0 ,
  9 1 2 1 -> 9 7 41 4 14 9 1 ,
  9 1 2 3 -> 9 7 41 4 14 9 3 ,
  9 1 2 5 -> 9 7 41 4 14 9 5 ,
  9 1 2 6 -> 9 7 41 4 14 9 6 ,
  9 1 2 7 -> 9 7 41 4 14 9 7 ,
  9 1 2 8 -> 9 7 41 4 14 9 8 ,
  10 1 2 0 -> 10 7 41 4 14 9 0 ,
  10 1 2 1 -> 10 7 41 4 14 9 1 ,
  10 1 2 3 -> 10 7 41 4 14 9 3 ,
  10 1 2 5 -> 10 7 41 4 14 9 5 ,
  10 1 2 6 -> 10 7 41 4 14 9 6 ,
  10 1 2 7 -> 10 7 41 4 14 9 7 ,
  10 1 2 8 -> 10 7 41 4 14 9 8 ,
  11 1 2 0 -> 11 7 41 4 14 9 0 ,
  11 1 2 1 -> 11 7 41 4 14 9 1 ,
  11 1 2 3 -> 11 7 41 4 14 9 3 ,
  11 1 2 5 -> 11 7 41 4 14 9 5 ,
  11 1 2 6 -> 11 7 41 4 14 9 6 ,
  11 1 2 7 -> 11 7 41 4 14 9 7 ,
  11 1 2 8 -> 11 7 41 4 14 9 8 ,
  12 1 2 0 -> 12 7 41 4 14 9 0 ,
  12 1 2 1 -> 12 7 41 4 14 9 1 ,
  12 1 2 3 -> 12 7 41 4 14 9 3 ,
  12 1 2 5 -> 12 7 41 4 14 9 5 ,
  12 1 2 6 -> 12 7 41 4 14 9 6 ,
  12 1 2 7 -> 12 7 41 4 14 9 7 ,
  12 1 2 8 -> 12 7 41 4 14 9 8 ,
  13 1 2 0 -> 13 7 41 4 14 9 0 ,
  13 1 2 1 -> 13 7 41 4 14 9 1 ,
  13 1 2 3 -> 13 7 41 4 14 9 3 ,
  13 1 2 5 -> 13 7 41 4 14 9 5 ,
  13 1 2 6 -> 13 7 41 4 14 9 6 ,
  13 1 2 7 -> 13 7 41 4 14 9 7 ,
  13 1 2 8 -> 13 7 41 4 14 9 8 ,
  0 1 2 0 -> 0 7 41 18 24 2 0 ,
  0 1 2 1 -> 0 7 41 18 24 2 1 ,
  0 1 2 3 -> 0 7 41 18 24 2 3 ,
  0 1 2 5 -> 0 7 41 18 24 2 5 ,
  0 1 2 6 -> 0 7 41 18 24 2 6 ,
  0 1 2 7 -> 0 7 41 18 24 2 7 ,
  0 1 2 8 -> 0 7 41 18 24 2 8 ,
  2 1 2 0 -> 2 7 41 18 24 2 0 ,
  2 1 2 1 -> 2 7 41 18 24 2 1 ,
  2 1 2 3 -> 2 7 41 18 24 2 3 ,
  2 1 2 5 -> 2 7 41 18 24 2 5 ,
  2 1 2 6 -> 2 7 41 18 24 2 6 ,
  2 1 2 7 -> 2 7 41 18 24 2 7 ,
  2 1 2 8 -> 2 7 41 18 24 2 8 ,
  9 1 2 0 -> 9 7 41 18 24 2 0 ,
  9 1 2 1 -> 9 7 41 18 24 2 1 ,
  9 1 2 3 -> 9 7 41 18 24 2 3 ,
  9 1 2 5 -> 9 7 41 18 24 2 5 ,
  9 1 2 6 -> 9 7 41 18 24 2 6 ,
  9 1 2 7 -> 9 7 41 18 24 2 7 ,
  9 1 2 8 -> 9 7 41 18 24 2 8 ,
  10 1 2 0 -> 10 7 41 18 24 2 0 ,
  10 1 2 1 -> 10 7 41 18 24 2 1 ,
  10 1 2 3 -> 10 7 41 18 24 2 3 ,
  10 1 2 5 -> 10 7 41 18 24 2 5 ,
  10 1 2 6 -> 10 7 41 18 24 2 6 ,
  10 1 2 7 -> 10 7 41 18 24 2 7 ,
  10 1 2 8 -> 10 7 41 18 24 2 8 ,
  11 1 2 0 -> 11 7 41 18 24 2 0 ,
  11 1 2 1 -> 11 7 41 18 24 2 1 ,
  11 1 2 3 -> 11 7 41 18 24 2 3 ,
  11 1 2 5 -> 11 7 41 18 24 2 5 ,
  11 1 2 6 -> 11 7 41 18 24 2 6 ,
  11 1 2 7 -> 11 7 41 18 24 2 7 ,
  11 1 2 8 -> 11 7 41 18 24 2 8 ,
  12 1 2 0 -> 12 7 41 18 24 2 0 ,
  12 1 2 1 -> 12 7 41 18 24 2 1 ,
  12 1 2 3 -> 12 7 41 18 24 2 3 ,
  12 1 2 5 -> 12 7 41 18 24 2 5 ,
  12 1 2 6 -> 12 7 41 18 24 2 6 ,
  12 1 2 7 -> 12 7 41 18 24 2 7 ,
  12 1 2 8 -> 12 7 41 18 24 2 8 ,
  13 1 2 0 -> 13 7 41 18 24 2 0 ,
  13 1 2 1 -> 13 7 41 18 24 2 1 ,
  13 1 2 3 -> 13 7 41 18 24 2 3 ,
  13 1 2 5 -> 13 7 41 18 24 2 5 ,
  13 1 2 6 -> 13 7 41 18 24 2 6 ,
  13 1 2 7 -> 13 7 41 18 24 2 7 ,
  13 1 2 8 -> 13 7 41 18 24 2 8 ,
  0 1 2 0 -> 1 2 0 7 33 32 11 ,
  0 1 2 1 -> 1 2 0 7 33 32 23 ,
  0 1 2 3 -> 1 2 0 7 33 32 26 ,
  0 1 2 5 -> 1 2 0 7 33 32 42 ,
  0 1 2 6 -> 1 2 0 7 33 32 32 ,
  0 1 2 7 -> 1 2 0 7 33 32 36 ,
  0 1 2 8 -> 1 2 0 7 33 32 43 ,
  2 1 2 0 -> 21 2 0 7 33 32 11 ,
  2 1 2 1 -> 21 2 0 7 33 32 23 ,
  2 1 2 3 -> 21 2 0 7 33 32 26 ,
  2 1 2 5 -> 21 2 0 7 33 32 42 ,
  2 1 2 6 -> 21 2 0 7 33 32 32 ,
  2 1 2 7 -> 21 2 0 7 33 32 36 ,
  2 1 2 8 -> 21 2 0 7 33 32 43 ,
  9 1 2 0 -> 4 2 0 7 33 32 11 ,
  9 1 2 1 -> 4 2 0 7 33 32 23 ,
  9 1 2 3 -> 4 2 0 7 33 32 26 ,
  9 1 2 5 -> 4 2 0 7 33 32 42 ,
  9 1 2 6 -> 4 2 0 7 33 32 32 ,
  9 1 2 7 -> 4 2 0 7 33 32 36 ,
  9 1 2 8 -> 4 2 0 7 33 32 43 ,
  10 1 2 0 -> 22 2 0 7 33 32 11 ,
  10 1 2 1 -> 22 2 0 7 33 32 23 ,
  10 1 2 3 -> 22 2 0 7 33 32 26 ,
  10 1 2 5 -> 22 2 0 7 33 32 42 ,
  10 1 2 6 -> 22 2 0 7 33 32 32 ,
  10 1 2 7 -> 22 2 0 7 33 32 36 ,
  10 1 2 8 -> 22 2 0 7 33 32 43 ,
  11 1 2 0 -> 23 2 0 7 33 32 11 ,
  11 1 2 1 -> 23 2 0 7 33 32 23 ,
  11 1 2 3 -> 23 2 0 7 33 32 26 ,
  11 1 2 5 -> 23 2 0 7 33 32 42 ,
  11 1 2 6 -> 23 2 0 7 33 32 32 ,
  11 1 2 7 -> 23 2 0 7 33 32 36 ,
  11 1 2 8 -> 23 2 0 7 33 32 43 ,
  12 1 2 0 -> 24 2 0 7 33 32 11 ,
  12 1 2 1 -> 24 2 0 7 33 32 23 ,
  12 1 2 3 -> 24 2 0 7 33 32 26 ,
  12 1 2 5 -> 24 2 0 7 33 32 42 ,
  12 1 2 6 -> 24 2 0 7 33 32 32 ,
  12 1 2 7 -> 24 2 0 7 33 32 36 ,
  12 1 2 8 -> 24 2 0 7 33 32 43 ,
  13 1 2 0 -> 25 2 0 7 33 32 11 ,
  13 1 2 1 -> 25 2 0 7 33 32 23 ,
  13 1 2 3 -> 25 2 0 7 33 32 26 ,
  13 1 2 5 -> 25 2 0 7 33 32 42 ,
  13 1 2 6 -> 25 2 0 7 33 32 32 ,
  13 1 2 7 -> 25 2 0 7 33 32 36 ,
  13 1 2 8 -> 25 2 0 7 33 32 43 ,
  0 1 2 0 -> 1 2 6 32 32 11 0 ,
  0 1 2 1 -> 1 2 6 32 32 11 1 ,
  0 1 2 3 -> 1 2 6 32 32 11 3 ,
  0 1 2 5 -> 1 2 6 32 32 11 5 ,
  0 1 2 6 -> 1 2 6 32 32 11 6 ,
  0 1 2 7 -> 1 2 6 32 32 11 7 ,
  0 1 2 8 -> 1 2 6 32 32 11 8 ,
  2 1 2 0 -> 21 2 6 32 32 11 0 ,
  2 1 2 1 -> 21 2 6 32 32 11 1 ,
  2 1 2 3 -> 21 2 6 32 32 11 3 ,
  2 1 2 5 -> 21 2 6 32 32 11 5 ,
  2 1 2 6 -> 21 2 6 32 32 11 6 ,
  2 1 2 7 -> 21 2 6 32 32 11 7 ,
  2 1 2 8 -> 21 2 6 32 32 11 8 ,
  9 1 2 0 -> 4 2 6 32 32 11 0 ,
  9 1 2 1 -> 4 2 6 32 32 11 1 ,
  9 1 2 3 -> 4 2 6 32 32 11 3 ,
  9 1 2 5 -> 4 2 6 32 32 11 5 ,
  9 1 2 6 -> 4 2 6 32 32 11 6 ,
  9 1 2 7 -> 4 2 6 32 32 11 7 ,
  9 1 2 8 -> 4 2 6 32 32 11 8 ,
  10 1 2 0 -> 22 2 6 32 32 11 0 ,
  10 1 2 1 -> 22 2 6 32 32 11 1 ,
  10 1 2 3 -> 22 2 6 32 32 11 3 ,
  10 1 2 5 -> 22 2 6 32 32 11 5 ,
  10 1 2 6 -> 22 2 6 32 32 11 6 ,
  10 1 2 7 -> 22 2 6 32 32 11 7 ,
  10 1 2 8 -> 22 2 6 32 32 11 8 ,
  11 1 2 0 -> 23 2 6 32 32 11 0 ,
  11 1 2 1 -> 23 2 6 32 32 11 1 ,
  11 1 2 3 -> 23 2 6 32 32 11 3 ,
  11 1 2 5 -> 23 2 6 32 32 11 5 ,
  11 1 2 6 -> 23 2 6 32 32 11 6 ,
  11 1 2 7 -> 23 2 6 32 32 11 7 ,
  11 1 2 8 -> 23 2 6 32 32 11 8 ,
  12 1 2 0 -> 24 2 6 32 32 11 0 ,
  12 1 2 1 -> 24 2 6 32 32 11 1 ,
  12 1 2 3 -> 24 2 6 32 32 11 3 ,
  12 1 2 5 -> 24 2 6 32 32 11 5 ,
  12 1 2 6 -> 24 2 6 32 32 11 6 ,
  12 1 2 7 -> 24 2 6 32 32 11 7 ,
  12 1 2 8 -> 24 2 6 32 32 11 8 ,
  13 1 2 0 -> 25 2 6 32 32 11 0 ,
  13 1 2 1 -> 25 2 6 32 32 11 1 ,
  13 1 2 3 -> 25 2 6 32 32 11 3 ,
  13 1 2 5 -> 25 2 6 32 32 11 5 ,
  13 1 2 6 -> 25 2 6 32 32 11 6 ,
  13 1 2 7 -> 25 2 6 32 32 11 7 ,
  13 1 2 8 -> 25 2 6 32 32 11 8 ,
  0 1 2 0 -> 1 29 12 0 6 26 9 ,
  0 1 2 1 -> 1 29 12 0 6 26 4 ,
  0 1 2 3 -> 1 29 12 0 6 26 15 ,
  0 1 2 5 -> 1 29 12 0 6 26 16 ,
  0 1 2 6 -> 1 29 12 0 6 26 17 ,
  0 1 2 7 -> 1 29 12 0 6 26 18 ,
  0 1 2 8 -> 1 29 12 0 6 26 19 ,
  2 1 2 0 -> 21 29 12 0 6 26 9 ,
  2 1 2 1 -> 21 29 12 0 6 26 4 ,
  2 1 2 3 -> 21 29 12 0 6 26 15 ,
  2 1 2 5 -> 21 29 12 0 6 26 16 ,
  2 1 2 6 -> 21 29 12 0 6 26 17 ,
  2 1 2 7 -> 21 29 12 0 6 26 18 ,
  2 1 2 8 -> 21 29 12 0 6 26 19 ,
  9 1 2 0 -> 4 29 12 0 6 26 9 ,
  9 1 2 1 -> 4 29 12 0 6 26 4 ,
  9 1 2 3 -> 4 29 12 0 6 26 15 ,
  9 1 2 5 -> 4 29 12 0 6 26 16 ,
  9 1 2 6 -> 4 29 12 0 6 26 17 ,
  9 1 2 7 -> 4 29 12 0 6 26 18 ,
  9 1 2 8 -> 4 29 12 0 6 26 19 ,
  10 1 2 0 -> 22 29 12 0 6 26 9 ,
  10 1 2 1 -> 22 29 12 0 6 26 4 ,
  10 1 2 3 -> 22 29 12 0 6 26 15 ,
  10 1 2 5 -> 22 29 12 0 6 26 16 ,
  10 1 2 6 -> 22 29 12 0 6 26 17 ,
  10 1 2 7 -> 22 29 12 0 6 26 18 ,
  10 1 2 8 -> 22 29 12 0 6 26 19 ,
  11 1 2 0 -> 23 29 12 0 6 26 9 ,
  11 1 2 1 -> 23 29 12 0 6 26 4 ,
  11 1 2 3 -> 23 29 12 0 6 26 15 ,
  11 1 2 5 -> 23 29 12 0 6 26 16 ,
  11 1 2 6 -> 23 29 12 0 6 26 17 ,
  11 1 2 7 -> 23 29 12 0 6 26 18 ,
  11 1 2 8 -> 23 29 12 0 6 26 19 ,
  12 1 2 0 -> 24 29 12 0 6 26 9 ,
  12 1 2 1 -> 24 29 12 0 6 26 4 ,
  12 1 2 3 -> 24 29 12 0 6 26 15 ,
  12 1 2 5 -> 24 29 12 0 6 26 16 ,
  12 1 2 6 -> 24 29 12 0 6 26 17 ,
  12 1 2 7 -> 24 29 12 0 6 26 18 ,
  12 1 2 8 -> 24 29 12 0 6 26 19 ,
  13 1 2 0 -> 25 29 12 0 6 26 9 ,
  13 1 2 1 -> 25 29 12 0 6 26 4 ,
  13 1 2 3 -> 25 29 12 0 6 26 15 ,
  13 1 2 5 -> 25 29 12 0 6 26 16 ,
  13 1 2 6 -> 25 29 12 0 6 26 17 ,
  13 1 2 7 -> 25 29 12 0 6 26 18 ,
  13 1 2 8 -> 25 29 12 0 6 26 19 ,
  0 1 2 0 -> 5 10 0 6 23 27 11 ,
  0 1 2 1 -> 5 10 0 6 23 27 23 ,
  0 1 2 3 -> 5 10 0 6 23 27 26 ,
  0 1 2 5 -> 5 10 0 6 23 27 42 ,
  0 1 2 6 -> 5 10 0 6 23 27 32 ,
  0 1 2 7 -> 5 10 0 6 23 27 36 ,
  0 1 2 8 -> 5 10 0 6 23 27 43 ,
  2 1 2 0 -> 28 10 0 6 23 27 11 ,
  2 1 2 1 -> 28 10 0 6 23 27 23 ,
  2 1 2 3 -> 28 10 0 6 23 27 26 ,
  2 1 2 5 -> 28 10 0 6 23 27 42 ,
  2 1 2 6 -> 28 10 0 6 23 27 32 ,
  2 1 2 7 -> 28 10 0 6 23 27 36 ,
  2 1 2 8 -> 28 10 0 6 23 27 43 ,
  9 1 2 0 -> 16 10 0 6 23 27 11 ,
  9 1 2 1 -> 16 10 0 6 23 27 23 ,
  9 1 2 3 -> 16 10 0 6 23 27 26 ,
  9 1 2 5 -> 16 10 0 6 23 27 42 ,
  9 1 2 6 -> 16 10 0 6 23 27 32 ,
  9 1 2 7 -> 16 10 0 6 23 27 36 ,
  9 1 2 8 -> 16 10 0 6 23 27 43 ,
  10 1 2 0 -> 39 10 0 6 23 27 11 ,
  10 1 2 1 -> 39 10 0 6 23 27 23 ,
  10 1 2 3 -> 39 10 0 6 23 27 26 ,
  10 1 2 5 -> 39 10 0 6 23 27 42 ,
  10 1 2 6 -> 39 10 0 6 23 27 32 ,
  10 1 2 7 -> 39 10 0 6 23 27 36 ,
  10 1 2 8 -> 39 10 0 6 23 27 43 ,
  11 1 2 0 -> 42 10 0 6 23 27 11 ,
  11 1 2 1 -> 42 10 0 6 23 27 23 ,
  11 1 2 3 -> 42 10 0 6 23 27 26 ,
  11 1 2 5 -> 42 10 0 6 23 27 42 ,
  11 1 2 6 -> 42 10 0 6 23 27 32 ,
  11 1 2 7 -> 42 10 0 6 23 27 36 ,
  11 1 2 8 -> 42 10 0 6 23 27 43 ,
  12 1 2 0 -> 44 10 0 6 23 27 11 ,
  12 1 2 1 -> 44 10 0 6 23 27 23 ,
  12 1 2 3 -> 44 10 0 6 23 27 26 ,
  12 1 2 5 -> 44 10 0 6 23 27 42 ,
  12 1 2 6 -> 44 10 0 6 23 27 32 ,
  12 1 2 7 -> 44 10 0 6 23 27 36 ,
  12 1 2 8 -> 44 10 0 6 23 27 43 ,
  13 1 2 0 -> 45 10 0 6 23 27 11 ,
  13 1 2 1 -> 45 10 0 6 23 27 23 ,
  13 1 2 3 -> 45 10 0 6 23 27 26 ,
  13 1 2 5 -> 45 10 0 6 23 27 42 ,
  13 1 2 6 -> 45 10 0 6 23 27 32 ,
  13 1 2 7 -> 45 10 0 6 23 27 36 ,
  13 1 2 8 -> 45 10 0 6 23 27 43 ,
  0 1 2 0 -> 6 36 24 2 3 9 0 ,
  0 1 2 1 -> 6 36 24 2 3 9 1 ,
  0 1 2 3 -> 6 36 24 2 3 9 3 ,
  0 1 2 5 -> 6 36 24 2 3 9 5 ,
  0 1 2 6 -> 6 36 24 2 3 9 6 ,
  0 1 2 7 -> 6 36 24 2 3 9 7 ,
  0 1 2 8 -> 6 36 24 2 3 9 8 ,
  2 1 2 0 -> 27 36 24 2 3 9 0 ,
  2 1 2 1 -> 27 36 24 2 3 9 1 ,
  2 1 2 3 -> 27 36 24 2 3 9 3 ,
  2 1 2 5 -> 27 36 24 2 3 9 5 ,
  2 1 2 6 -> 27 36 24 2 3 9 6 ,
  2 1 2 7 -> 27 36 24 2 3 9 7 ,
  2 1 2 8 -> 27 36 24 2 3 9 8 ,
  9 1 2 0 -> 17 36 24 2 3 9 0 ,
  9 1 2 1 -> 17 36 24 2 3 9 1 ,
  9 1 2 3 -> 17 36 24 2 3 9 3 ,
  9 1 2 5 -> 17 36 24 2 3 9 5 ,
  9 1 2 6 -> 17 36 24 2 3 9 6 ,
  9 1 2 7 -> 17 36 24 2 3 9 7 ,
  9 1 2 8 -> 17 36 24 2 3 9 8 ,
  10 1 2 0 -> 31 36 24 2 3 9 0 ,
  10 1 2 1 -> 31 36 24 2 3 9 1 ,
  10 1 2 3 -> 31 36 24 2 3 9 3 ,
  10 1 2 5 -> 31 36 24 2 3 9 5 ,
  10 1 2 6 -> 31 36 24 2 3 9 6 ,
  10 1 2 7 -> 31 36 24 2 3 9 7 ,
  10 1 2 8 -> 31 36 24 2 3 9 8 ,
  11 1 2 0 -> 32 36 24 2 3 9 0 ,
  11 1 2 1 -> 32 36 24 2 3 9 1 ,
  11 1 2 3 -> 32 36 24 2 3 9 3 ,
  11 1 2 5 -> 32 36 24 2 3 9 5 ,
  11 1 2 6 -> 32 36 24 2 3 9 6 ,
  11 1 2 7 -> 32 36 24 2 3 9 7 ,
  11 1 2 8 -> 32 36 24 2 3 9 8 ,
  12 1 2 0 -> 33 36 24 2 3 9 0 ,
  12 1 2 1 -> 33 36 24 2 3 9 1 ,
  12 1 2 3 -> 33 36 24 2 3 9 3 ,
  12 1 2 5 -> 33 36 24 2 3 9 5 ,
  12 1 2 6 -> 33 36 24 2 3 9 6 ,
  12 1 2 7 -> 33 36 24 2 3 9 7 ,
  12 1 2 8 -> 33 36 24 2 3 9 8 ,
  13 1 2 0 -> 34 36 24 2 3 9 0 ,
  13 1 2 1 -> 34 36 24 2 3 9 1 ,
  13 1 2 3 -> 34 36 24 2 3 9 3 ,
  13 1 2 5 -> 34 36 24 2 3 9 5 ,
  13 1 2 6 -> 34 36 24 2 3 9 6 ,
  13 1 2 7 -> 34 36 24 2 3 9 7 ,
  13 1 2 8 -> 34 36 24 2 3 9 8 ,
  0 1 2 0 -> 7 37 24 2 0 3 9 ,
  0 1 2 1 -> 7 37 24 2 0 3 4 ,
  0 1 2 3 -> 7 37 24 2 0 3 15 ,
  0 1 2 5 -> 7 37 24 2 0 3 16 ,
  0 1 2 6 -> 7 37 24 2 0 3 17 ,
  0 1 2 7 -> 7 37 24 2 0 3 18 ,
  0 1 2 8 -> 7 37 24 2 0 3 19 ,
  2 1 2 0 -> 29 37 24 2 0 3 9 ,
  2 1 2 1 -> 29 37 24 2 0 3 4 ,
  2 1 2 3 -> 29 37 24 2 0 3 15 ,
  2 1 2 5 -> 29 37 24 2 0 3 16 ,
  2 1 2 6 -> 29 37 24 2 0 3 17 ,
  2 1 2 7 -> 29 37 24 2 0 3 18 ,
  2 1 2 8 -> 29 37 24 2 0 3 19 ,
  9 1 2 0 -> 18 37 24 2 0 3 9 ,
  9 1 2 1 -> 18 37 24 2 0 3 4 ,
  9 1 2 3 -> 18 37 24 2 0 3 15 ,
  9 1 2 5 -> 18 37 24 2 0 3 16 ,
  9 1 2 6 -> 18 37 24 2 0 3 17 ,
  9 1 2 7 -> 18 37 24 2 0 3 18 ,
  9 1 2 8 -> 18 37 24 2 0 3 19 ,
  10 1 2 0 -> 35 37 24 2 0 3 9 ,
  10 1 2 1 -> 35 37 24 2 0 3 4 ,
  10 1 2 3 -> 35 37 24 2 0 3 15 ,
  10 1 2 5 -> 35 37 24 2 0 3 16 ,
  10 1 2 6 -> 35 37 24 2 0 3 17 ,
  10 1 2 7 -> 35 37 24 2 0 3 18 ,
  10 1 2 8 -> 35 37 24 2 0 3 19 ,
  11 1 2 0 -> 36 37 24 2 0 3 9 ,
  11 1 2 1 -> 36 37 24 2 0 3 4 ,
  11 1 2 3 -> 36 37 24 2 0 3 15 ,
  11 1 2 5 -> 36 37 24 2 0 3 16 ,
  11 1 2 6 -> 36 37 24 2 0 3 17 ,
  11 1 2 7 -> 36 37 24 2 0 3 18 ,
  11 1 2 8 -> 36 37 24 2 0 3 19 ,
  12 1 2 0 -> 37 37 24 2 0 3 9 ,
  12 1 2 1 -> 37 37 24 2 0 3 4 ,
  12 1 2 3 -> 37 37 24 2 0 3 15 ,
  12 1 2 5 -> 37 37 24 2 0 3 16 ,
  12 1 2 6 -> 37 37 24 2 0 3 17 ,
  12 1 2 7 -> 37 37 24 2 0 3 18 ,
  12 1 2 8 -> 37 37 24 2 0 3 19 ,
  13 1 2 0 -> 38 37 24 2 0 3 9 ,
  13 1 2 1 -> 38 37 24 2 0 3 4 ,
  13 1 2 3 -> 38 37 24 2 0 3 15 ,
  13 1 2 5 -> 38 37 24 2 0 3 16 ,
  13 1 2 6 -> 38 37 24 2 0 3 17 ,
  13 1 2 7 -> 38 37 24 2 0 3 18 ,
  13 1 2 8 -> 38 37 24 2 0 3 19 ,
  0 0 1 2 0 -> 1 2 0 3 9 0 ,
  0 0 1 2 1 -> 1 2 0 3 9 1 ,
  0 0 1 2 3 -> 1 2 0 3 9 3 ,
  0 0 1 2 5 -> 1 2 0 3 9 5 ,
  0 0 1 2 6 -> 1 2 0 3 9 6 ,
  0 0 1 2 7 -> 1 2 0 3 9 7 ,
  0 0 1 2 8 -> 1 2 0 3 9 8 ,
  2 0 1 2 0 -> 21 2 0 3 9 0 ,
  2 0 1 2 1 -> 21 2 0 3 9 1 ,
  2 0 1 2 3 -> 21 2 0 3 9 3 ,
  2 0 1 2 5 -> 21 2 0 3 9 5 ,
  2 0 1 2 6 -> 21 2 0 3 9 6 ,
  2 0 1 2 7 -> 21 2 0 3 9 7 ,
  2 0 1 2 8 -> 21 2 0 3 9 8 ,
  9 0 1 2 0 -> 4 2 0 3 9 0 ,
  9 0 1 2 1 -> 4 2 0 3 9 1 ,
  9 0 1 2 3 -> 4 2 0 3 9 3 ,
  9 0 1 2 5 -> 4 2 0 3 9 5 ,
  9 0 1 2 6 -> 4 2 0 3 9 6 ,
  9 0 1 2 7 -> 4 2 0 3 9 7 ,
  9 0 1 2 8 -> 4 2 0 3 9 8 ,
  10 0 1 2 0 -> 22 2 0 3 9 0 ,
  10 0 1 2 1 -> 22 2 0 3 9 1 ,
  10 0 1 2 3 -> 22 2 0 3 9 3 ,
  10 0 1 2 5 -> 22 2 0 3 9 5 ,
  10 0 1 2 6 -> 22 2 0 3 9 6 ,
  10 0 1 2 7 -> 22 2 0 3 9 7 ,
  10 0 1 2 8 -> 22 2 0 3 9 8 ,
  11 0 1 2 0 -> 23 2 0 3 9 0 ,
  11 0 1 2 1 -> 23 2 0 3 9 1 ,
  11 0 1 2 3 -> 23 2 0 3 9 3 ,
  11 0 1 2 5 -> 23 2 0 3 9 5 ,
  11 0 1 2 6 -> 23 2 0 3 9 6 ,
  11 0 1 2 7 -> 23 2 0 3 9 7 ,
  11 0 1 2 8 -> 23 2 0 3 9 8 ,
  12 0 1 2 0 -> 24 2 0 3 9 0 ,
  12 0 1 2 1 -> 24 2 0 3 9 1 ,
  12 0 1 2 3 -> 24 2 0 3 9 3 ,
  12 0 1 2 5 -> 24 2 0 3 9 5 ,
  12 0 1 2 6 -> 24 2 0 3 9 6 ,
  12 0 1 2 7 -> 24 2 0 3 9 7 ,
  12 0 1 2 8 -> 24 2 0 3 9 8 ,
  13 0 1 2 0 -> 25 2 0 3 9 0 ,
  13 0 1 2 1 -> 25 2 0 3 9 1 ,
  13 0 1 2 3 -> 25 2 0 3 9 3 ,
  13 0 1 2 5 -> 25 2 0 3 9 5 ,
  13 0 1 2 6 -> 25 2 0 3 9 6 ,
  13 0 1 2 7 -> 25 2 0 3 9 7 ,
  13 0 1 2 8 -> 25 2 0 3 9 8 ,
  0 0 1 2 0 -> 0 1 29 12 0 3 9 ,
  0 0 1 2 1 -> 0 1 29 12 0 3 4 ,
  0 0 1 2 3 -> 0 1 29 12 0 3 15 ,
  0 0 1 2 5 -> 0 1 29 12 0 3 16 ,
  0 0 1 2 6 -> 0 1 29 12 0 3 17 ,
  0 0 1 2 7 -> 0 1 29 12 0 3 18 ,
  0 0 1 2 8 -> 0 1 29 12 0 3 19 ,
  2 0 1 2 0 -> 2 1 29 12 0 3 9 ,
  2 0 1 2 1 -> 2 1 29 12 0 3 4 ,
  2 0 1 2 3 -> 2 1 29 12 0 3 15 ,
  2 0 1 2 5 -> 2 1 29 12 0 3 16 ,
  2 0 1 2 6 -> 2 1 29 12 0 3 17 ,
  2 0 1 2 7 -> 2 1 29 12 0 3 18 ,
  2 0 1 2 8 -> 2 1 29 12 0 3 19 ,
  9 0 1 2 0 -> 9 1 29 12 0 3 9 ,
  9 0 1 2 1 -> 9 1 29 12 0 3 4 ,
  9 0 1 2 3 -> 9 1 29 12 0 3 15 ,
  9 0 1 2 5 -> 9 1 29 12 0 3 16 ,
  9 0 1 2 6 -> 9 1 29 12 0 3 17 ,
  9 0 1 2 7 -> 9 1 29 12 0 3 18 ,
  9 0 1 2 8 -> 9 1 29 12 0 3 19 ,
  10 0 1 2 0 -> 10 1 29 12 0 3 9 ,
  10 0 1 2 1 -> 10 1 29 12 0 3 4 ,
  10 0 1 2 3 -> 10 1 29 12 0 3 15 ,
  10 0 1 2 5 -> 10 1 29 12 0 3 16 ,
  10 0 1 2 6 -> 10 1 29 12 0 3 17 ,
  10 0 1 2 7 -> 10 1 29 12 0 3 18 ,
  10 0 1 2 8 -> 10 1 29 12 0 3 19 ,
  11 0 1 2 0 -> 11 1 29 12 0 3 9 ,
  11 0 1 2 1 -> 11 1 29 12 0 3 4 ,
  11 0 1 2 3 -> 11 1 29 12 0 3 15 ,
  11 0 1 2 5 -> 11 1 29 12 0 3 16 ,
  11 0 1 2 6 -> 11 1 29 12 0 3 17 ,
  11 0 1 2 7 -> 11 1 29 12 0 3 18 ,
  11 0 1 2 8 -> 11 1 29 12 0 3 19 ,
  12 0 1 2 0 -> 12 1 29 12 0 3 9 ,
  12 0 1 2 1 -> 12 1 29 12 0 3 4 ,
  12 0 1 2 3 -> 12 1 29 12 0 3 15 ,
  12 0 1 2 5 -> 12 1 29 12 0 3 16 ,
  12 0 1 2 6 -> 12 1 29 12 0 3 17 ,
  12 0 1 2 7 -> 12 1 29 12 0 3 18 ,
  12 0 1 2 8 -> 12 1 29 12 0 3 19 ,
  13 0 1 2 0 -> 13 1 29 12 0 3 9 ,
  13 0 1 2 1 -> 13 1 29 12 0 3 4 ,
  13 0 1 2 3 -> 13 1 29 12 0 3 15 ,
  13 0 1 2 5 -> 13 1 29 12 0 3 16 ,
  13 0 1 2 6 -> 13 1 29 12 0 3 17 ,
  13 0 1 2 7 -> 13 1 29 12 0 3 18 ,
  13 0 1 2 8 -> 13 1 29 12 0 3 19 ,
  0 1 2 5 10 -> 1 2 5 39 10 3 9 ,
  0 1 2 5 22 -> 1 2 5 39 10 3 4 ,
  0 1 2 5 20 -> 1 2 5 39 10 3 15 ,
  0 1 2 5 39 -> 1 2 5 39 10 3 16 ,
  0 1 2 5 31 -> 1 2 5 39 10 3 17 ,
  0 1 2 5 35 -> 1 2 5 39 10 3 18 ,
  0 1 2 5 40 -> 1 2 5 39 10 3 19 ,
  2 1 2 5 10 -> 21 2 5 39 10 3 9 ,
  2 1 2 5 22 -> 21 2 5 39 10 3 4 ,
  2 1 2 5 20 -> 21 2 5 39 10 3 15 ,
  2 1 2 5 39 -> 21 2 5 39 10 3 16 ,
  2 1 2 5 31 -> 21 2 5 39 10 3 17 ,
  2 1 2 5 35 -> 21 2 5 39 10 3 18 ,
  2 1 2 5 40 -> 21 2 5 39 10 3 19 ,
  9 1 2 5 10 -> 4 2 5 39 10 3 9 ,
  9 1 2 5 22 -> 4 2 5 39 10 3 4 ,
  9 1 2 5 20 -> 4 2 5 39 10 3 15 ,
  9 1 2 5 39 -> 4 2 5 39 10 3 16 ,
  9 1 2 5 31 -> 4 2 5 39 10 3 17 ,
  9 1 2 5 35 -> 4 2 5 39 10 3 18 ,
  9 1 2 5 40 -> 4 2 5 39 10 3 19 ,
  10 1 2 5 10 -> 22 2 5 39 10 3 9 ,
  10 1 2 5 22 -> 22 2 5 39 10 3 4 ,
  10 1 2 5 20 -> 22 2 5 39 10 3 15 ,
  10 1 2 5 39 -> 22 2 5 39 10 3 16 ,
  10 1 2 5 31 -> 22 2 5 39 10 3 17 ,
  10 1 2 5 35 -> 22 2 5 39 10 3 18 ,
  10 1 2 5 40 -> 22 2 5 39 10 3 19 ,
  11 1 2 5 10 -> 23 2 5 39 10 3 9 ,
  11 1 2 5 22 -> 23 2 5 39 10 3 4 ,
  11 1 2 5 20 -> 23 2 5 39 10 3 15 ,
  11 1 2 5 39 -> 23 2 5 39 10 3 16 ,
  11 1 2 5 31 -> 23 2 5 39 10 3 17 ,
  11 1 2 5 35 -> 23 2 5 39 10 3 18 ,
  11 1 2 5 40 -> 23 2 5 39 10 3 19 ,
  12 1 2 5 10 -> 24 2 5 39 10 3 9 ,
  12 1 2 5 22 -> 24 2 5 39 10 3 4 ,
  12 1 2 5 20 -> 24 2 5 39 10 3 15 ,
  12 1 2 5 39 -> 24 2 5 39 10 3 16 ,
  12 1 2 5 31 -> 24 2 5 39 10 3 17 ,
  12 1 2 5 35 -> 24 2 5 39 10 3 18 ,
  12 1 2 5 40 -> 24 2 5 39 10 3 19 ,
  13 1 2 5 10 -> 25 2 5 39 10 3 9 ,
  13 1 2 5 22 -> 25 2 5 39 10 3 4 ,
  13 1 2 5 20 -> 25 2 5 39 10 3 15 ,
  13 1 2 5 39 -> 25 2 5 39 10 3 16 ,
  13 1 2 5 31 -> 25 2 5 39 10 3 17 ,
  13 1 2 5 35 -> 25 2 5 39 10 3 18 ,
  13 1 2 5 40 -> 25 2 5 39 10 3 19 ,
  0 1 2 5 10 -> 1 2 7 44 20 9 0 ,
  0 1 2 5 22 -> 1 2 7 44 20 9 1 ,
  0 1 2 5 20 -> 1 2 7 44 20 9 3 ,
  0 1 2 5 39 -> 1 2 7 44 20 9 5 ,
  0 1 2 5 31 -> 1 2 7 44 20 9 6 ,
  0 1 2 5 35 -> 1 2 7 44 20 9 7 ,
  0 1 2 5 40 -> 1 2 7 44 20 9 8 ,
  2 1 2 5 10 -> 21 2 7 44 20 9 0 ,
  2 1 2 5 22 -> 21 2 7 44 20 9 1 ,
  2 1 2 5 20 -> 21 2 7 44 20 9 3 ,
  2 1 2 5 39 -> 21 2 7 44 20 9 5 ,
  2 1 2 5 31 -> 21 2 7 44 20 9 6 ,
  2 1 2 5 35 -> 21 2 7 44 20 9 7 ,
  2 1 2 5 40 -> 21 2 7 44 20 9 8 ,
  9 1 2 5 10 -> 4 2 7 44 20 9 0 ,
  9 1 2 5 22 -> 4 2 7 44 20 9 1 ,
  9 1 2 5 20 -> 4 2 7 44 20 9 3 ,
  9 1 2 5 39 -> 4 2 7 44 20 9 5 ,
  9 1 2 5 31 -> 4 2 7 44 20 9 6 ,
  9 1 2 5 35 -> 4 2 7 44 20 9 7 ,
  9 1 2 5 40 -> 4 2 7 44 20 9 8 ,
  10 1 2 5 10 -> 22 2 7 44 20 9 0 ,
  10 1 2 5 22 -> 22 2 7 44 20 9 1 ,
  10 1 2 5 20 -> 22 2 7 44 20 9 3 ,
  10 1 2 5 39 -> 22 2 7 44 20 9 5 ,
  10 1 2 5 31 -> 22 2 7 44 20 9 6 ,
  10 1 2 5 35 -> 22 2 7 44 20 9 7 ,
  10 1 2 5 40 -> 22 2 7 44 20 9 8 ,
  11 1 2 5 10 -> 23 2 7 44 20 9 0 ,
  11 1 2 5 22 -> 23 2 7 44 20 9 1 ,
  11 1 2 5 20 -> 23 2 7 44 20 9 3 ,
  11 1 2 5 39 -> 23 2 7 44 20 9 5 ,
  11 1 2 5 31 -> 23 2 7 44 20 9 6 ,
  11 1 2 5 35 -> 23 2 7 44 20 9 7 ,
  11 1 2 5 40 -> 23 2 7 44 20 9 8 ,
  12 1 2 5 10 -> 24 2 7 44 20 9 0 ,
  12 1 2 5 22 -> 24 2 7 44 20 9 1 ,
  12 1 2 5 20 -> 24 2 7 44 20 9 3 ,
  12 1 2 5 39 -> 24 2 7 44 20 9 5 ,
  12 1 2 5 31 -> 24 2 7 44 20 9 6 ,
  12 1 2 5 35 -> 24 2 7 44 20 9 7 ,
  12 1 2 5 40 -> 24 2 7 44 20 9 8 ,
  13 1 2 5 10 -> 25 2 7 44 20 9 0 ,
  13 1 2 5 22 -> 25 2 7 44 20 9 1 ,
  13 1 2 5 20 -> 25 2 7 44 20 9 3 ,
  13 1 2 5 39 -> 25 2 7 44 20 9 5 ,
  13 1 2 5 31 -> 25 2 7 44 20 9 6 ,
  13 1 2 5 35 -> 25 2 7 44 20 9 7 ,
  13 1 2 5 40 -> 25 2 7 44 20 9 8 ,
  0 1 21 2 0 -> 0 6 32 23 21 2 0 ,
  0 1 21 2 1 -> 0 6 32 23 21 2 1 ,
  0 1 21 2 3 -> 0 6 32 23 21 2 3 ,
  0 1 21 2 5 -> 0 6 32 23 21 2 5 ,
  0 1 21 2 6 -> 0 6 32 23 21 2 6 ,
  0 1 21 2 7 -> 0 6 32 23 21 2 7 ,
  0 1 21 2 8 -> 0 6 32 23 21 2 8 ,
  2 1 21 2 0 -> 2 6 32 23 21 2 0 ,
  2 1 21 2 1 -> 2 6 32 23 21 2 1 ,
  2 1 21 2 3 -> 2 6 32 23 21 2 3 ,
  2 1 21 2 5 -> 2 6 32 23 21 2 5 ,
  2 1 21 2 6 -> 2 6 32 23 21 2 6 ,
  2 1 21 2 7 -> 2 6 32 23 21 2 7 ,
  2 1 21 2 8 -> 2 6 32 23 21 2 8 ,
  9 1 21 2 0 -> 9 6 32 23 21 2 0 ,
  9 1 21 2 1 -> 9 6 32 23 21 2 1 ,
  9 1 21 2 3 -> 9 6 32 23 21 2 3 ,
  9 1 21 2 5 -> 9 6 32 23 21 2 5 ,
  9 1 21 2 6 -> 9 6 32 23 21 2 6 ,
  9 1 21 2 7 -> 9 6 32 23 21 2 7 ,
  9 1 21 2 8 -> 9 6 32 23 21 2 8 ,
  10 1 21 2 0 -> 10 6 32 23 21 2 0 ,
  10 1 21 2 1 -> 10 6 32 23 21 2 1 ,
  10 1 21 2 3 -> 10 6 32 23 21 2 3 ,
  10 1 21 2 5 -> 10 6 32 23 21 2 5 ,
  10 1 21 2 6 -> 10 6 32 23 21 2 6 ,
  10 1 21 2 7 -> 10 6 32 23 21 2 7 ,
  10 1 21 2 8 -> 10 6 32 23 21 2 8 ,
  11 1 21 2 0 -> 11 6 32 23 21 2 0 ,
  11 1 21 2 1 -> 11 6 32 23 21 2 1 ,
  11 1 21 2 3 -> 11 6 32 23 21 2 3 ,
  11 1 21 2 5 -> 11 6 32 23 21 2 5 ,
  11 1 21 2 6 -> 11 6 32 23 21 2 6 ,
  11 1 21 2 7 -> 11 6 32 23 21 2 7 ,
  11 1 21 2 8 -> 11 6 32 23 21 2 8 ,
  12 1 21 2 0 -> 12 6 32 23 21 2 0 ,
  12 1 21 2 1 -> 12 6 32 23 21 2 1 ,
  12 1 21 2 3 -> 12 6 32 23 21 2 3 ,
  12 1 21 2 5 -> 12 6 32 23 21 2 5 ,
  12 1 21 2 6 -> 12 6 32 23 21 2 6 ,
  12 1 21 2 7 -> 12 6 32 23 21 2 7 ,
  12 1 21 2 8 -> 12 6 32 23 21 2 8 ,
  13 1 21 2 0 -> 13 6 32 23 21 2 0 ,
  13 1 21 2 1 -> 13 6 32 23 21 2 1 ,
  13 1 21 2 3 -> 13 6 32 23 21 2 3 ,
  13 1 21 2 5 -> 13 6 32 23 21 2 5 ,
  13 1 21 2 6 -> 13 6 32 23 21 2 6 ,
  13 1 21 2 7 -> 13 6 32 23 21 2 7 ,
  13 1 21 2 8 -> 13 6 32 23 21 2 8 ,
  0 1 21 28 10 -> 5 31 36 24 21 2 0 ,
  0 1 21 28 22 -> 5 31 36 24 21 2 1 ,
  0 1 21 28 20 -> 5 31 36 24 21 2 3 ,
  0 1 21 28 39 -> 5 31 36 24 21 2 5 ,
  0 1 21 28 31 -> 5 31 36 24 21 2 6 ,
  0 1 21 28 35 -> 5 31 36 24 21 2 7 ,
  0 1 21 28 40 -> 5 31 36 24 21 2 8 ,
  2 1 21 28 10 -> 28 31 36 24 21 2 0 ,
  2 1 21 28 22 -> 28 31 36 24 21 2 1 ,
  2 1 21 28 20 -> 28 31 36 24 21 2 3 ,
  2 1 21 28 39 -> 28 31 36 24 21 2 5 ,
  2 1 21 28 31 -> 28 31 36 24 21 2 6 ,
  2 1 21 28 35 -> 28 31 36 24 21 2 7 ,
  2 1 21 28 40 -> 28 31 36 24 21 2 8 ,
  9 1 21 28 10 -> 16 31 36 24 21 2 0 ,
  9 1 21 28 22 -> 16 31 36 24 21 2 1 ,
  9 1 21 28 20 -> 16 31 36 24 21 2 3 ,
  9 1 21 28 39 -> 16 31 36 24 21 2 5 ,
  9 1 21 28 31 -> 16 31 36 24 21 2 6 ,
  9 1 21 28 35 -> 16 31 36 24 21 2 7 ,
  9 1 21 28 40 -> 16 31 36 24 21 2 8 ,
  10 1 21 28 10 -> 39 31 36 24 21 2 0 ,
  10 1 21 28 22 -> 39 31 36 24 21 2 1 ,
  10 1 21 28 20 -> 39 31 36 24 21 2 3 ,
  10 1 21 28 39 -> 39 31 36 24 21 2 5 ,
  10 1 21 28 31 -> 39 31 36 24 21 2 6 ,
  10 1 21 28 35 -> 39 31 36 24 21 2 7 ,
  10 1 21 28 40 -> 39 31 36 24 21 2 8 ,
  11 1 21 28 10 -> 42 31 36 24 21 2 0 ,
  11 1 21 28 22 -> 42 31 36 24 21 2 1 ,
  11 1 21 28 20 -> 42 31 36 24 21 2 3 ,
  11 1 21 28 39 -> 42 31 36 24 21 2 5 ,
  11 1 21 28 31 -> 42 31 36 24 21 2 6 ,
  11 1 21 28 35 -> 42 31 36 24 21 2 7 ,
  11 1 21 28 40 -> 42 31 36 24 21 2 8 ,
  12 1 21 28 10 -> 44 31 36 24 21 2 0 ,
  12 1 21 28 22 -> 44 31 36 24 21 2 1 ,
  12 1 21 28 20 -> 44 31 36 24 21 2 3 ,
  12 1 21 28 39 -> 44 31 36 24 21 2 5 ,
  12 1 21 28 31 -> 44 31 36 24 21 2 6 ,
  12 1 21 28 35 -> 44 31 36 24 21 2 7 ,
  12 1 21 28 40 -> 44 31 36 24 21 2 8 ,
  13 1 21 28 10 -> 45 31 36 24 21 2 0 ,
  13 1 21 28 22 -> 45 31 36 24 21 2 1 ,
  13 1 21 28 20 -> 45 31 36 24 21 2 3 ,
  13 1 21 28 39 -> 45 31 36 24 21 2 5 ,
  13 1 21 28 31 -> 45 31 36 24 21 2 6 ,
  13 1 21 28 35 -> 45 31 36 24 21 2 7 ,
  13 1 21 28 40 -> 45 31 36 24 21 2 8 ,
  0 1 14 9 0 -> 1 21 2 3 9 0 ,
  0 1 14 9 1 -> 1 21 2 3 9 1 ,
  0 1 14 9 3 -> 1 21 2 3 9 3 ,
  0 1 14 9 5 -> 1 21 2 3 9 5 ,
  0 1 14 9 6 -> 1 21 2 3 9 6 ,
  0 1 14 9 7 -> 1 21 2 3 9 7 ,
  0 1 14 9 8 -> 1 21 2 3 9 8 ,
  2 1 14 9 0 -> 21 21 2 3 9 0 ,
  2 1 14 9 1 -> 21 21 2 3 9 1 ,
  2 1 14 9 3 -> 21 21 2 3 9 3 ,
  2 1 14 9 5 -> 21 21 2 3 9 5 ,
  2 1 14 9 6 -> 21 21 2 3 9 6 ,
  2 1 14 9 7 -> 21 21 2 3 9 7 ,
  2 1 14 9 8 -> 21 21 2 3 9 8 ,
  9 1 14 9 0 -> 4 21 2 3 9 0 ,
  9 1 14 9 1 -> 4 21 2 3 9 1 ,
  9 1 14 9 3 -> 4 21 2 3 9 3 ,
  9 1 14 9 5 -> 4 21 2 3 9 5 ,
  9 1 14 9 6 -> 4 21 2 3 9 6 ,
  9 1 14 9 7 -> 4 21 2 3 9 7 ,
  9 1 14 9 8 -> 4 21 2 3 9 8 ,
  10 1 14 9 0 -> 22 21 2 3 9 0 ,
  10 1 14 9 1 -> 22 21 2 3 9 1 ,
  10 1 14 9 3 -> 22 21 2 3 9 3 ,
  10 1 14 9 5 -> 22 21 2 3 9 5 ,
  10 1 14 9 6 -> 22 21 2 3 9 6 ,
  10 1 14 9 7 -> 22 21 2 3 9 7 ,
  10 1 14 9 8 -> 22 21 2 3 9 8 ,
  11 1 14 9 0 -> 23 21 2 3 9 0 ,
  11 1 14 9 1 -> 23 21 2 3 9 1 ,
  11 1 14 9 3 -> 23 21 2 3 9 3 ,
  11 1 14 9 5 -> 23 21 2 3 9 5 ,
  11 1 14 9 6 -> 23 21 2 3 9 6 ,
  11 1 14 9 7 -> 23 21 2 3 9 7 ,
  11 1 14 9 8 -> 23 21 2 3 9 8 ,
  12 1 14 9 0 -> 24 21 2 3 9 0 ,
  12 1 14 9 1 -> 24 21 2 3 9 1 ,
  12 1 14 9 3 -> 24 21 2 3 9 3 ,
  12 1 14 9 5 -> 24 21 2 3 9 5 ,
  12 1 14 9 6 -> 24 21 2 3 9 6 ,
  12 1 14 9 7 -> 24 21 2 3 9 7 ,
  12 1 14 9 8 -> 24 21 2 3 9 8 ,
  13 1 14 9 0 -> 25 21 2 3 9 0 ,
  13 1 14 9 1 -> 25 21 2 3 9 1 ,
  13 1 14 9 3 -> 25 21 2 3 9 3 ,
  13 1 14 9 5 -> 25 21 2 3 9 5 ,
  13 1 14 9 6 -> 25 21 2 3 9 6 ,
  13 1 14 9 7 -> 25 21 2 3 9 7 ,
  13 1 14 9 8 -> 25 21 2 3 9 8 ,
  0 1 14 9 0 -> 5 10 3 4 2 0 ,
  0 1 14 9 1 -> 5 10 3 4 2 1 ,
  0 1 14 9 3 -> 5 10 3 4 2 3 ,
  0 1 14 9 5 -> 5 10 3 4 2 5 ,
  0 1 14 9 6 -> 5 10 3 4 2 6 ,
  0 1 14 9 7 -> 5 10 3 4 2 7 ,
  0 1 14 9 8 -> 5 10 3 4 2 8 ,
  2 1 14 9 0 -> 28 10 3 4 2 0 ,
  2 1 14 9 1 -> 28 10 3 4 2 1 ,
  2 1 14 9 3 -> 28 10 3 4 2 3 ,
  2 1 14 9 5 -> 28 10 3 4 2 5 ,
  2 1 14 9 6 -> 28 10 3 4 2 6 ,
  2 1 14 9 7 -> 28 10 3 4 2 7 ,
  2 1 14 9 8 -> 28 10 3 4 2 8 ,
  9 1 14 9 0 -> 16 10 3 4 2 0 ,
  9 1 14 9 1 -> 16 10 3 4 2 1 ,
  9 1 14 9 3 -> 16 10 3 4 2 3 ,
  9 1 14 9 5 -> 16 10 3 4 2 5 ,
  9 1 14 9 6 -> 16 10 3 4 2 6 ,
  9 1 14 9 7 -> 16 10 3 4 2 7 ,
  9 1 14 9 8 -> 16 10 3 4 2 8 ,
  10 1 14 9 0 -> 39 10 3 4 2 0 ,
  10 1 14 9 1 -> 39 10 3 4 2 1 ,
  10 1 14 9 3 -> 39 10 3 4 2 3 ,
  10 1 14 9 5 -> 39 10 3 4 2 5 ,
  10 1 14 9 6 -> 39 10 3 4 2 6 ,
  10 1 14 9 7 -> 39 10 3 4 2 7 ,
  10 1 14 9 8 -> 39 10 3 4 2 8 ,
  11 1 14 9 0 -> 42 10 3 4 2 0 ,
  11 1 14 9 1 -> 42 10 3 4 2 1 ,
  11 1 14 9 3 -> 42 10 3 4 2 3 ,
  11 1 14 9 5 -> 42 10 3 4 2 5 ,
  11 1 14 9 6 -> 42 10 3 4 2 6 ,
  11 1 14 9 7 -> 42 10 3 4 2 7 ,
  11 1 14 9 8 -> 42 10 3 4 2 8 ,
  12 1 14 9 0 -> 44 10 3 4 2 0 ,
  12 1 14 9 1 -> 44 10 3 4 2 1 ,
  12 1 14 9 3 -> 44 10 3 4 2 3 ,
  12 1 14 9 5 -> 44 10 3 4 2 5 ,
  12 1 14 9 6 -> 44 10 3 4 2 6 ,
  12 1 14 9 7 -> 44 10 3 4 2 7 ,
  12 1 14 9 8 -> 44 10 3 4 2 8 ,
  13 1 14 9 0 -> 45 10 3 4 2 0 ,
  13 1 14 9 1 -> 45 10 3 4 2 1 ,
  13 1 14 9 3 -> 45 10 3 4 2 3 ,
  13 1 14 9 5 -> 45 10 3 4 2 5 ,
  13 1 14 9 6 -> 45 10 3 4 2 6 ,
  13 1 14 9 7 -> 45 10 3 4 2 7 ,
  13 1 14 9 8 -> 45 10 3 4 2 8 ,
  0 1 14 9 0 -> 6 23 2 0 3 9 ,
  0 1 14 9 1 -> 6 23 2 0 3 4 ,
  0 1 14 9 3 -> 6 23 2 0 3 15 ,
  0 1 14 9 5 -> 6 23 2 0 3 16 ,
  0 1 14 9 6 -> 6 23 2 0 3 17 ,
  0 1 14 9 7 -> 6 23 2 0 3 18 ,
  0 1 14 9 8 -> 6 23 2 0 3 19 ,
  2 1 14 9 0 -> 27 23 2 0 3 9 ,
  2 1 14 9 1 -> 27 23 2 0 3 4 ,
  2 1 14 9 3 -> 27 23 2 0 3 15 ,
  2 1 14 9 5 -> 27 23 2 0 3 16 ,
  2 1 14 9 6 -> 27 23 2 0 3 17 ,
  2 1 14 9 7 -> 27 23 2 0 3 18 ,
  2 1 14 9 8 -> 27 23 2 0 3 19 ,
  9 1 14 9 0 -> 17 23 2 0 3 9 ,
  9 1 14 9 1 -> 17 23 2 0 3 4 ,
  9 1 14 9 3 -> 17 23 2 0 3 15 ,
  9 1 14 9 5 -> 17 23 2 0 3 16 ,
  9 1 14 9 6 -> 17 23 2 0 3 17 ,
  9 1 14 9 7 -> 17 23 2 0 3 18 ,
  9 1 14 9 8 -> 17 23 2 0 3 19 ,
  10 1 14 9 0 -> 31 23 2 0 3 9 ,
  10 1 14 9 1 -> 31 23 2 0 3 4 ,
  10 1 14 9 3 -> 31 23 2 0 3 15 ,
  10 1 14 9 5 -> 31 23 2 0 3 16 ,
  10 1 14 9 6 -> 31 23 2 0 3 17 ,
  10 1 14 9 7 -> 31 23 2 0 3 18 ,
  10 1 14 9 8 -> 31 23 2 0 3 19 ,
  11 1 14 9 0 -> 32 23 2 0 3 9 ,
  11 1 14 9 1 -> 32 23 2 0 3 4 ,
  11 1 14 9 3 -> 32 23 2 0 3 15 ,
  11 1 14 9 5 -> 32 23 2 0 3 16 ,
  11 1 14 9 6 -> 32 23 2 0 3 17 ,
  11 1 14 9 7 -> 32 23 2 0 3 18 ,
  11 1 14 9 8 -> 32 23 2 0 3 19 ,
  12 1 14 9 0 -> 33 23 2 0 3 9 ,
  12 1 14 9 1 -> 33 23 2 0 3 4 ,
  12 1 14 9 3 -> 33 23 2 0 3 15 ,
  12 1 14 9 5 -> 33 23 2 0 3 16 ,
  12 1 14 9 6 -> 33 23 2 0 3 17 ,
  12 1 14 9 7 -> 33 23 2 0 3 18 ,
  12 1 14 9 8 -> 33 23 2 0 3 19 ,
  13 1 14 9 0 -> 34 23 2 0 3 9 ,
  13 1 14 9 1 -> 34 23 2 0 3 4 ,
  13 1 14 9 3 -> 34 23 2 0 3 15 ,
  13 1 14 9 5 -> 34 23 2 0 3 16 ,
  13 1 14 9 6 -> 34 23 2 0 3 17 ,
  13 1 14 9 7 -> 34 23 2 0 3 18 ,
  13 1 14 9 8 -> 34 23 2 0 3 19 ,
  0 1 14 9 0 -> 0 0 6 26 18 24 2 ,
  0 1 14 9 1 -> 0 0 6 26 18 24 21 ,
  0 1 14 9 3 -> 0 0 6 26 18 24 14 ,
  0 1 14 9 5 -> 0 0 6 26 18 24 28 ,
  0 1 14 9 6 -> 0 0 6 26 18 24 27 ,
  0 1 14 9 7 -> 0 0 6 26 18 24 29 ,
  0 1 14 9 8 -> 0 0 6 26 18 24 30 ,
  2 1 14 9 0 -> 2 0 6 26 18 24 2 ,
  2 1 14 9 1 -> 2 0 6 26 18 24 21 ,
  2 1 14 9 3 -> 2 0 6 26 18 24 14 ,
  2 1 14 9 5 -> 2 0 6 26 18 24 28 ,
  2 1 14 9 6 -> 2 0 6 26 18 24 27 ,
  2 1 14 9 7 -> 2 0 6 26 18 24 29 ,
  2 1 14 9 8 -> 2 0 6 26 18 24 30 ,
  9 1 14 9 0 -> 9 0 6 26 18 24 2 ,
  9 1 14 9 1 -> 9 0 6 26 18 24 21 ,
  9 1 14 9 3 -> 9 0 6 26 18 24 14 ,
  9 1 14 9 5 -> 9 0 6 26 18 24 28 ,
  9 1 14 9 6 -> 9 0 6 26 18 24 27 ,
  9 1 14 9 7 -> 9 0 6 26 18 24 29 ,
  9 1 14 9 8 -> 9 0 6 26 18 24 30 ,
  10 1 14 9 0 -> 10 0 6 26 18 24 2 ,
  10 1 14 9 1 -> 10 0 6 26 18 24 21 ,
  10 1 14 9 3 -> 10 0 6 26 18 24 14 ,
  10 1 14 9 5 -> 10 0 6 26 18 24 28 ,
  10 1 14 9 6 -> 10 0 6 26 18 24 27 ,
  10 1 14 9 7 -> 10 0 6 26 18 24 29 ,
  10 1 14 9 8 -> 10 0 6 26 18 24 30 ,
  11 1 14 9 0 -> 11 0 6 26 18 24 2 ,
  11 1 14 9 1 -> 11 0 6 26 18 24 21 ,
  11 1 14 9 3 -> 11 0 6 26 18 24 14 ,
  11 1 14 9 5 -> 11 0 6 26 18 24 28 ,
  11 1 14 9 6 -> 11 0 6 26 18 24 27 ,
  11 1 14 9 7 -> 11 0 6 26 18 24 29 ,
  11 1 14 9 8 -> 11 0 6 26 18 24 30 ,
  12 1 14 9 0 -> 12 0 6 26 18 24 2 ,
  12 1 14 9 1 -> 12 0 6 26 18 24 21 ,
  12 1 14 9 3 -> 12 0 6 26 18 24 14 ,
  12 1 14 9 5 -> 12 0 6 26 18 24 28 ,
  12 1 14 9 6 -> 12 0 6 26 18 24 27 ,
  12 1 14 9 7 -> 12 0 6 26 18 24 29 ,
  12 1 14 9 8 -> 12 0 6 26 18 24 30 ,
  13 1 14 9 0 -> 13 0 6 26 18 24 2 ,
  13 1 14 9 1 -> 13 0 6 26 18 24 21 ,
  13 1 14 9 3 -> 13 0 6 26 18 24 14 ,
  13 1 14 9 5 -> 13 0 6 26 18 24 28 ,
  13 1 14 9 6 -> 13 0 6 26 18 24 27 ,
  13 1 14 9 7 -> 13 0 6 26 18 24 29 ,
  13 1 14 9 8 -> 13 0 6 26 18 24 30 ,
  0 1 14 9 0 -> 1 21 14 9 6 11 0 ,
  0 1 14 9 1 -> 1 21 14 9 6 11 1 ,
  0 1 14 9 3 -> 1 21 14 9 6 11 3 ,
  0 1 14 9 5 -> 1 21 14 9 6 11 5 ,
  0 1 14 9 6 -> 1 21 14 9 6 11 6 ,
  0 1 14 9 7 -> 1 21 14 9 6 11 7 ,
  0 1 14 9 8 -> 1 21 14 9 6 11 8 ,
  2 1 14 9 0 -> 21 21 14 9 6 11 0 ,
  2 1 14 9 1 -> 21 21 14 9 6 11 1 ,
  2 1 14 9 3 -> 21 21 14 9 6 11 3 ,
  2 1 14 9 5 -> 21 21 14 9 6 11 5 ,
  2 1 14 9 6 -> 21 21 14 9 6 11 6 ,
  2 1 14 9 7 -> 21 21 14 9 6 11 7 ,
  2 1 14 9 8 -> 21 21 14 9 6 11 8 ,
  9 1 14 9 0 -> 4 21 14 9 6 11 0 ,
  9 1 14 9 1 -> 4 21 14 9 6 11 1 ,
  9 1 14 9 3 -> 4 21 14 9 6 11 3 ,
  9 1 14 9 5 -> 4 21 14 9 6 11 5 ,
  9 1 14 9 6 -> 4 21 14 9 6 11 6 ,
  9 1 14 9 7 -> 4 21 14 9 6 11 7 ,
  9 1 14 9 8 -> 4 21 14 9 6 11 8 ,
  10 1 14 9 0 -> 22 21 14 9 6 11 0 ,
  10 1 14 9 1 -> 22 21 14 9 6 11 1 ,
  10 1 14 9 3 -> 22 21 14 9 6 11 3 ,
  10 1 14 9 5 -> 22 21 14 9 6 11 5 ,
  10 1 14 9 6 -> 22 21 14 9 6 11 6 ,
  10 1 14 9 7 -> 22 21 14 9 6 11 7 ,
  10 1 14 9 8 -> 22 21 14 9 6 11 8 ,
  11 1 14 9 0 -> 23 21 14 9 6 11 0 ,
  11 1 14 9 1 -> 23 21 14 9 6 11 1 ,
  11 1 14 9 3 -> 23 21 14 9 6 11 3 ,
  11 1 14 9 5 -> 23 21 14 9 6 11 5 ,
  11 1 14 9 6 -> 23 21 14 9 6 11 6 ,
  11 1 14 9 7 -> 23 21 14 9 6 11 7 ,
  11 1 14 9 8 -> 23 21 14 9 6 11 8 ,
  12 1 14 9 0 -> 24 21 14 9 6 11 0 ,
  12 1 14 9 1 -> 24 21 14 9 6 11 1 ,
  12 1 14 9 3 -> 24 21 14 9 6 11 3 ,
  12 1 14 9 5 -> 24 21 14 9 6 11 5 ,
  12 1 14 9 6 -> 24 21 14 9 6 11 6 ,
  12 1 14 9 7 -> 24 21 14 9 6 11 7 ,
  12 1 14 9 8 -> 24 21 14 9 6 11 8 ,
  13 1 14 9 0 -> 25 21 14 9 6 11 0 ,
  13 1 14 9 1 -> 25 21 14 9 6 11 1 ,
  13 1 14 9 3 -> 25 21 14 9 6 11 3 ,
  13 1 14 9 5 -> 25 21 14 9 6 11 5 ,
  13 1 14 9 6 -> 25 21 14 9 6 11 6 ,
  13 1 14 9 7 -> 25 21 14 9 6 11 7 ,
  13 1 14 9 8 -> 25 21 14 9 6 11 8 ,
  0 1 14 9 0 -> 5 10 3 4 2 6 11 ,
  0 1 14 9 1 -> 5 10 3 4 2 6 23 ,
  0 1 14 9 3 -> 5 10 3 4 2 6 26 ,
  0 1 14 9 5 -> 5 10 3 4 2 6 42 ,
  0 1 14 9 6 -> 5 10 3 4 2 6 32 ,
  0 1 14 9 7 -> 5 10 3 4 2 6 36 ,
  0 1 14 9 8 -> 5 10 3 4 2 6 43 ,
  2 1 14 9 0 -> 28 10 3 4 2 6 11 ,
  2 1 14 9 1 -> 28 10 3 4 2 6 23 ,
  2 1 14 9 3 -> 28 10 3 4 2 6 26 ,
  2 1 14 9 5 -> 28 10 3 4 2 6 42 ,
  2 1 14 9 6 -> 28 10 3 4 2 6 32 ,
  2 1 14 9 7 -> 28 10 3 4 2 6 36 ,
  2 1 14 9 8 -> 28 10 3 4 2 6 43 ,
  9 1 14 9 0 -> 16 10 3 4 2 6 11 ,
  9 1 14 9 1 -> 16 10 3 4 2 6 23 ,
  9 1 14 9 3 -> 16 10 3 4 2 6 26 ,
  9 1 14 9 5 -> 16 10 3 4 2 6 42 ,
  9 1 14 9 6 -> 16 10 3 4 2 6 32 ,
  9 1 14 9 7 -> 16 10 3 4 2 6 36 ,
  9 1 14 9 8 -> 16 10 3 4 2 6 43 ,
  10 1 14 9 0 -> 39 10 3 4 2 6 11 ,
  10 1 14 9 1 -> 39 10 3 4 2 6 23 ,
  10 1 14 9 3 -> 39 10 3 4 2 6 26 ,
  10 1 14 9 5 -> 39 10 3 4 2 6 42 ,
  10 1 14 9 6 -> 39 10 3 4 2 6 32 ,
  10 1 14 9 7 -> 39 10 3 4 2 6 36 ,
  10 1 14 9 8 -> 39 10 3 4 2 6 43 ,
  11 1 14 9 0 -> 42 10 3 4 2 6 11 ,
  11 1 14 9 1 -> 42 10 3 4 2 6 23 ,
  11 1 14 9 3 -> 42 10 3 4 2 6 26 ,
  11 1 14 9 5 -> 42 10 3 4 2 6 42 ,
  11 1 14 9 6 -> 42 10 3 4 2 6 32 ,
  11 1 14 9 7 -> 42 10 3 4 2 6 36 ,
  11 1 14 9 8 -> 42 10 3 4 2 6 43 ,
  12 1 14 9 0 -> 44 10 3 4 2 6 11 ,
  12 1 14 9 1 -> 44 10 3 4 2 6 23 ,
  12 1 14 9 3 -> 44 10 3 4 2 6 26 ,
  12 1 14 9 5 -> 44 10 3 4 2 6 42 ,
  12 1 14 9 6 -> 44 10 3 4 2 6 32 ,
  12 1 14 9 7 -> 44 10 3 4 2 6 36 ,
  12 1 14 9 8 -> 44 10 3 4 2 6 43 ,
  13 1 14 9 0 -> 45 10 3 4 2 6 11 ,
  13 1 14 9 1 -> 45 10 3 4 2 6 23 ,
  13 1 14 9 3 -> 45 10 3 4 2 6 26 ,
  13 1 14 9 5 -> 45 10 3 4 2 6 42 ,
  13 1 14 9 6 -> 45 10 3 4 2 6 32 ,
  13 1 14 9 7 -> 45 10 3 4 2 6 36 ,
  13 1 14 9 8 -> 45 10 3 4 2 6 43 ,
  0 1 28 10 0 -> 1 2 5 10 3 9 ,
  0 1 28 10 1 -> 1 2 5 10 3 4 ,
  0 1 28 10 3 -> 1 2 5 10 3 15 ,
  0 1 28 10 5 -> 1 2 5 10 3 16 ,
  0 1 28 10 6 -> 1 2 5 10 3 17 ,
  0 1 28 10 7 -> 1 2 5 10 3 18 ,
  0 1 28 10 8 -> 1 2 5 10 3 19 ,
  2 1 28 10 0 -> 21 2 5 10 3 9 ,
  2 1 28 10 1 -> 21 2 5 10 3 4 ,
  2 1 28 10 3 -> 21 2 5 10 3 15 ,
  2 1 28 10 5 -> 21 2 5 10 3 16 ,
  2 1 28 10 6 -> 21 2 5 10 3 17 ,
  2 1 28 10 7 -> 21 2 5 10 3 18 ,
  2 1 28 10 8 -> 21 2 5 10 3 19 ,
  9 1 28 10 0 -> 4 2 5 10 3 9 ,
  9 1 28 10 1 -> 4 2 5 10 3 4 ,
  9 1 28 10 3 -> 4 2 5 10 3 15 ,
  9 1 28 10 5 -> 4 2 5 10 3 16 ,
  9 1 28 10 6 -> 4 2 5 10 3 17 ,
  9 1 28 10 7 -> 4 2 5 10 3 18 ,
  9 1 28 10 8 -> 4 2 5 10 3 19 ,
  10 1 28 10 0 -> 22 2 5 10 3 9 ,
  10 1 28 10 1 -> 22 2 5 10 3 4 ,
  10 1 28 10 3 -> 22 2 5 10 3 15 ,
  10 1 28 10 5 -> 22 2 5 10 3 16 ,
  10 1 28 10 6 -> 22 2 5 10 3 17 ,
  10 1 28 10 7 -> 22 2 5 10 3 18 ,
  10 1 28 10 8 -> 22 2 5 10 3 19 ,
  11 1 28 10 0 -> 23 2 5 10 3 9 ,
  11 1 28 10 1 -> 23 2 5 10 3 4 ,
  11 1 28 10 3 -> 23 2 5 10 3 15 ,
  11 1 28 10 5 -> 23 2 5 10 3 16 ,
  11 1 28 10 6 -> 23 2 5 10 3 17 ,
  11 1 28 10 7 -> 23 2 5 10 3 18 ,
  11 1 28 10 8 -> 23 2 5 10 3 19 ,
  12 1 28 10 0 -> 24 2 5 10 3 9 ,
  12 1 28 10 1 -> 24 2 5 10 3 4 ,
  12 1 28 10 3 -> 24 2 5 10 3 15 ,
  12 1 28 10 5 -> 24 2 5 10 3 16 ,
  12 1 28 10 6 -> 24 2 5 10 3 17 ,
  12 1 28 10 7 -> 24 2 5 10 3 18 ,
  12 1 28 10 8 -> 24 2 5 10 3 19 ,
  13 1 28 10 0 -> 25 2 5 10 3 9 ,
  13 1 28 10 1 -> 25 2 5 10 3 4 ,
  13 1 28 10 3 -> 25 2 5 10 3 15 ,
  13 1 28 10 5 -> 25 2 5 10 3 16 ,
  13 1 28 10 6 -> 25 2 5 10 3 17 ,
  13 1 28 10 7 -> 25 2 5 10 3 18 ,
  13 1 28 10 8 -> 25 2 5 10 3 19 ,
  0 1 27 11 0 -> 0 5 31 26 4 2 0 ,
  0 1 27 11 1 -> 0 5 31 26 4 2 1 ,
  0 1 27 11 3 -> 0 5 31 26 4 2 3 ,
  0 1 27 11 5 -> 0 5 31 26 4 2 5 ,
  0 1 27 11 6 -> 0 5 31 26 4 2 6 ,
  0 1 27 11 7 -> 0 5 31 26 4 2 7 ,
  0 1 27 11 8 -> 0 5 31 26 4 2 8 ,
  2 1 27 11 0 -> 2 5 31 26 4 2 0 ,
  2 1 27 11 1 -> 2 5 31 26 4 2 1 ,
  2 1 27 11 3 -> 2 5 31 26 4 2 3 ,
  2 1 27 11 5 -> 2 5 31 26 4 2 5 ,
  2 1 27 11 6 -> 2 5 31 26 4 2 6 ,
  2 1 27 11 7 -> 2 5 31 26 4 2 7 ,
  2 1 27 11 8 -> 2 5 31 26 4 2 8 ,
  9 1 27 11 0 -> 9 5 31 26 4 2 0 ,
  9 1 27 11 1 -> 9 5 31 26 4 2 1 ,
  9 1 27 11 3 -> 9 5 31 26 4 2 3 ,
  9 1 27 11 5 -> 9 5 31 26 4 2 5 ,
  9 1 27 11 6 -> 9 5 31 26 4 2 6 ,
  9 1 27 11 7 -> 9 5 31 26 4 2 7 ,
  9 1 27 11 8 -> 9 5 31 26 4 2 8 ,
  10 1 27 11 0 -> 10 5 31 26 4 2 0 ,
  10 1 27 11 1 -> 10 5 31 26 4 2 1 ,
  10 1 27 11 3 -> 10 5 31 26 4 2 3 ,
  10 1 27 11 5 -> 10 5 31 26 4 2 5 ,
  10 1 27 11 6 -> 10 5 31 26 4 2 6 ,
  10 1 27 11 7 -> 10 5 31 26 4 2 7 ,
  10 1 27 11 8 -> 10 5 31 26 4 2 8 ,
  11 1 27 11 0 -> 11 5 31 26 4 2 0 ,
  11 1 27 11 1 -> 11 5 31 26 4 2 1 ,
  11 1 27 11 3 -> 11 5 31 26 4 2 3 ,
  11 1 27 11 5 -> 11 5 31 26 4 2 5 ,
  11 1 27 11 6 -> 11 5 31 26 4 2 6 ,
  11 1 27 11 7 -> 11 5 31 26 4 2 7 ,
  11 1 27 11 8 -> 11 5 31 26 4 2 8 ,
  12 1 27 11 0 -> 12 5 31 26 4 2 0 ,
  12 1 27 11 1 -> 12 5 31 26 4 2 1 ,
  12 1 27 11 3 -> 12 5 31 26 4 2 3 ,
  12 1 27 11 5 -> 12 5 31 26 4 2 5 ,
  12 1 27 11 6 -> 12 5 31 26 4 2 6 ,
  12 1 27 11 7 -> 12 5 31 26 4 2 7 ,
  12 1 27 11 8 -> 12 5 31 26 4 2 8 ,
  13 1 27 11 0 -> 13 5 31 26 4 2 0 ,
  13 1 27 11 1 -> 13 5 31 26 4 2 1 ,
  13 1 27 11 3 -> 13 5 31 26 4 2 3 ,
  13 1 27 11 5 -> 13 5 31 26 4 2 5 ,
  13 1 27 11 6 -> 13 5 31 26 4 2 6 ,
  13 1 27 11 7 -> 13 5 31 26 4 2 7 ,
  13 1 27 11 8 -> 13 5 31 26 4 2 8 ,
  0 1 29 12 0 -> 0 7 24 27 11 0 ,
  0 1 29 12 1 -> 0 7 24 27 11 1 ,
  0 1 29 12 3 -> 0 7 24 27 11 3 ,
  0 1 29 12 5 -> 0 7 24 27 11 5 ,
  0 1 29 12 6 -> 0 7 24 27 11 6 ,
  0 1 29 12 7 -> 0 7 24 27 11 7 ,
  0 1 29 12 8 -> 0 7 24 27 11 8 ,
  2 1 29 12 0 -> 2 7 24 27 11 0 ,
  2 1 29 12 1 -> 2 7 24 27 11 1 ,
  2 1 29 12 3 -> 2 7 24 27 11 3 ,
  2 1 29 12 5 -> 2 7 24 27 11 5 ,
  2 1 29 12 6 -> 2 7 24 27 11 6 ,
  2 1 29 12 7 -> 2 7 24 27 11 7 ,
  2 1 29 12 8 -> 2 7 24 27 11 8 ,
  9 1 29 12 0 -> 9 7 24 27 11 0 ,
  9 1 29 12 1 -> 9 7 24 27 11 1 ,
  9 1 29 12 3 -> 9 7 24 27 11 3 ,
  9 1 29 12 5 -> 9 7 24 27 11 5 ,
  9 1 29 12 6 -> 9 7 24 27 11 6 ,
  9 1 29 12 7 -> 9 7 24 27 11 7 ,
  9 1 29 12 8 -> 9 7 24 27 11 8 ,
  10 1 29 12 0 -> 10 7 24 27 11 0 ,
  10 1 29 12 1 -> 10 7 24 27 11 1 ,
  10 1 29 12 3 -> 10 7 24 27 11 3 ,
  10 1 29 12 5 -> 10 7 24 27 11 5 ,
  10 1 29 12 6 -> 10 7 24 27 11 6 ,
  10 1 29 12 7 -> 10 7 24 27 11 7 ,
  10 1 29 12 8 -> 10 7 24 27 11 8 ,
  11 1 29 12 0 -> 11 7 24 27 11 0 ,
  11 1 29 12 1 -> 11 7 24 27 11 1 ,
  11 1 29 12 3 -> 11 7 24 27 11 3 ,
  11 1 29 12 5 -> 11 7 24 27 11 5 ,
  11 1 29 12 6 -> 11 7 24 27 11 6 ,
  11 1 29 12 7 -> 11 7 24 27 11 7 ,
  11 1 29 12 8 -> 11 7 24 27 11 8 ,
  12 1 29 12 0 -> 12 7 24 27 11 0 ,
  12 1 29 12 1 -> 12 7 24 27 11 1 ,
  12 1 29 12 3 -> 12 7 24 27 11 3 ,
  12 1 29 12 5 -> 12 7 24 27 11 5 ,
  12 1 29 12 6 -> 12 7 24 27 11 6 ,
  12 1 29 12 7 -> 12 7 24 27 11 7 ,
  12 1 29 12 8 -> 12 7 24 27 11 8 ,
  13 1 29 12 0 -> 13 7 24 27 11 0 ,
  13 1 29 12 1 -> 13 7 24 27 11 1 ,
  13 1 29 12 3 -> 13 7 24 27 11 3 ,
  13 1 29 12 5 -> 13 7 24 27 11 5 ,
  13 1 29 12 6 -> 13 7 24 27 11 6 ,
  13 1 29 12 7 -> 13 7 24 27 11 7 ,
  13 1 29 12 8 -> 13 7 24 27 11 8 ,
  0 1 29 12 0 -> 1 29 44 10 3 9 0 ,
  0 1 29 12 1 -> 1 29 44 10 3 9 1 ,
  0 1 29 12 3 -> 1 29 44 10 3 9 3 ,
  0 1 29 12 5 -> 1 29 44 10 3 9 5 ,
  0 1 29 12 6 -> 1 29 44 10 3 9 6 ,
  0 1 29 12 7 -> 1 29 44 10 3 9 7 ,
  0 1 29 12 8 -> 1 29 44 10 3 9 8 ,
  2 1 29 12 0 -> 21 29 44 10 3 9 0 ,
  2 1 29 12 1 -> 21 29 44 10 3 9 1 ,
  2 1 29 12 3 -> 21 29 44 10 3 9 3 ,
  2 1 29 12 5 -> 21 29 44 10 3 9 5 ,
  2 1 29 12 6 -> 21 29 44 10 3 9 6 ,
  2 1 29 12 7 -> 21 29 44 10 3 9 7 ,
  2 1 29 12 8 -> 21 29 44 10 3 9 8 ,
  9 1 29 12 0 -> 4 29 44 10 3 9 0 ,
  9 1 29 12 1 -> 4 29 44 10 3 9 1 ,
  9 1 29 12 3 -> 4 29 44 10 3 9 3 ,
  9 1 29 12 5 -> 4 29 44 10 3 9 5 ,
  9 1 29 12 6 -> 4 29 44 10 3 9 6 ,
  9 1 29 12 7 -> 4 29 44 10 3 9 7 ,
  9 1 29 12 8 -> 4 29 44 10 3 9 8 ,
  10 1 29 12 0 -> 22 29 44 10 3 9 0 ,
  10 1 29 12 1 -> 22 29 44 10 3 9 1 ,
  10 1 29 12 3 -> 22 29 44 10 3 9 3 ,
  10 1 29 12 5 -> 22 29 44 10 3 9 5 ,
  10 1 29 12 6 -> 22 29 44 10 3 9 6 ,
  10 1 29 12 7 -> 22 29 44 10 3 9 7 ,
  10 1 29 12 8 -> 22 29 44 10 3 9 8 ,
  11 1 29 12 0 -> 23 29 44 10 3 9 0 ,
  11 1 29 12 1 -> 23 29 44 10 3 9 1 ,
  11 1 29 12 3 -> 23 29 44 10 3 9 3 ,
  11 1 29 12 5 -> 23 29 44 10 3 9 5 ,
  11 1 29 12 6 -> 23 29 44 10 3 9 6 ,
  11 1 29 12 7 -> 23 29 44 10 3 9 7 ,
  11 1 29 12 8 -> 23 29 44 10 3 9 8 ,
  12 1 29 12 0 -> 24 29 44 10 3 9 0 ,
  12 1 29 12 1 -> 24 29 44 10 3 9 1 ,
  12 1 29 12 3 -> 24 29 44 10 3 9 3 ,
  12 1 29 12 5 -> 24 29 44 10 3 9 5 ,
  12 1 29 12 6 -> 24 29 44 10 3 9 6 ,
  12 1 29 12 7 -> 24 29 44 10 3 9 7 ,
  12 1 29 12 8 -> 24 29 44 10 3 9 8 ,
  13 1 29 12 0 -> 25 29 44 10 3 9 0 ,
  13 1 29 12 1 -> 25 29 44 10 3 9 1 ,
  13 1 29 12 3 -> 25 29 44 10 3 9 3 ,
  13 1 29 12 5 -> 25 29 44 10 3 9 5 ,
  13 1 29 12 6 -> 25 29 44 10 3 9 6 ,
  13 1 29 12 7 -> 25 29 44 10 3 9 7 ,
  13 1 29 12 8 -> 25 29 44 10 3 9 8 ,
  0 5 22 2 0 -> 1 14 16 10 7 12 0 ,
  0 5 22 2 1 -> 1 14 16 10 7 12 1 ,
  0 5 22 2 3 -> 1 14 16 10 7 12 3 ,
  0 5 22 2 5 -> 1 14 16 10 7 12 5 ,
  0 5 22 2 6 -> 1 14 16 10 7 12 6 ,
  0 5 22 2 7 -> 1 14 16 10 7 12 7 ,
  0 5 22 2 8 -> 1 14 16 10 7 12 8 ,
  2 5 22 2 0 -> 21 14 16 10 7 12 0 ,
  2 5 22 2 1 -> 21 14 16 10 7 12 1 ,
  2 5 22 2 3 -> 21 14 16 10 7 12 3 ,
  2 5 22 2 5 -> 21 14 16 10 7 12 5 ,
  2 5 22 2 6 -> 21 14 16 10 7 12 6 ,
  2 5 22 2 7 -> 21 14 16 10 7 12 7 ,
  2 5 22 2 8 -> 21 14 16 10 7 12 8 ,
  9 5 22 2 0 -> 4 14 16 10 7 12 0 ,
  9 5 22 2 1 -> 4 14 16 10 7 12 1 ,
  9 5 22 2 3 -> 4 14 16 10 7 12 3 ,
  9 5 22 2 5 -> 4 14 16 10 7 12 5 ,
  9 5 22 2 6 -> 4 14 16 10 7 12 6 ,
  9 5 22 2 7 -> 4 14 16 10 7 12 7 ,
  9 5 22 2 8 -> 4 14 16 10 7 12 8 ,
  10 5 22 2 0 -> 22 14 16 10 7 12 0 ,
  10 5 22 2 1 -> 22 14 16 10 7 12 1 ,
  10 5 22 2 3 -> 22 14 16 10 7 12 3 ,
  10 5 22 2 5 -> 22 14 16 10 7 12 5 ,
  10 5 22 2 6 -> 22 14 16 10 7 12 6 ,
  10 5 22 2 7 -> 22 14 16 10 7 12 7 ,
  10 5 22 2 8 -> 22 14 16 10 7 12 8 ,
  11 5 22 2 0 -> 23 14 16 10 7 12 0 ,
  11 5 22 2 1 -> 23 14 16 10 7 12 1 ,
  11 5 22 2 3 -> 23 14 16 10 7 12 3 ,
  11 5 22 2 5 -> 23 14 16 10 7 12 5 ,
  11 5 22 2 6 -> 23 14 16 10 7 12 6 ,
  11 5 22 2 7 -> 23 14 16 10 7 12 7 ,
  11 5 22 2 8 -> 23 14 16 10 7 12 8 ,
  12 5 22 2 0 -> 24 14 16 10 7 12 0 ,
  12 5 22 2 1 -> 24 14 16 10 7 12 1 ,
  12 5 22 2 3 -> 24 14 16 10 7 12 3 ,
  12 5 22 2 5 -> 24 14 16 10 7 12 5 ,
  12 5 22 2 6 -> 24 14 16 10 7 12 6 ,
  12 5 22 2 7 -> 24 14 16 10 7 12 7 ,
  12 5 22 2 8 -> 24 14 16 10 7 12 8 ,
  13 5 22 2 0 -> 25 14 16 10 7 12 0 ,
  13 5 22 2 1 -> 25 14 16 10 7 12 1 ,
  13 5 22 2 3 -> 25 14 16 10 7 12 3 ,
  13 5 22 2 5 -> 25 14 16 10 7 12 5 ,
  13 5 22 2 6 -> 25 14 16 10 7 12 6 ,
  13 5 22 2 7 -> 25 14 16 10 7 12 7 ,
  13 5 22 2 8 -> 25 14 16 10 7 12 8 ,
  7 12 1 2 0 -> 1 27 11 0 7 24 2 ,
  7 12 1 2 1 -> 1 27 11 0 7 24 21 ,
  7 12 1 2 3 -> 1 27 11 0 7 24 14 ,
  7 12 1 2 5 -> 1 27 11 0 7 24 28 ,
  7 12 1 2 6 -> 1 27 11 0 7 24 27 ,
  7 12 1 2 7 -> 1 27 11 0 7 24 29 ,
  7 12 1 2 8 -> 1 27 11 0 7 24 30 ,
  29 12 1 2 0 -> 21 27 11 0 7 24 2 ,
  29 12 1 2 1 -> 21 27 11 0 7 24 21 ,
  29 12 1 2 3 -> 21 27 11 0 7 24 14 ,
  29 12 1 2 5 -> 21 27 11 0 7 24 28 ,
  29 12 1 2 6 -> 21 27 11 0 7 24 27 ,
  29 12 1 2 7 -> 21 27 11 0 7 24 29 ,
  29 12 1 2 8 -> 21 27 11 0 7 24 30 ,
  18 12 1 2 0 -> 4 27 11 0 7 24 2 ,
  18 12 1 2 1 -> 4 27 11 0 7 24 21 ,
  18 12 1 2 3 -> 4 27 11 0 7 24 14 ,
  18 12 1 2 5 -> 4 27 11 0 7 24 28 ,
  18 12 1 2 6 -> 4 27 11 0 7 24 27 ,
  18 12 1 2 7 -> 4 27 11 0 7 24 29 ,
  18 12 1 2 8 -> 4 27 11 0 7 24 30 ,
  35 12 1 2 0 -> 22 27 11 0 7 24 2 ,
  35 12 1 2 1 -> 22 27 11 0 7 24 21 ,
  35 12 1 2 3 -> 22 27 11 0 7 24 14 ,
  35 12 1 2 5 -> 22 27 11 0 7 24 28 ,
  35 12 1 2 6 -> 22 27 11 0 7 24 27 ,
  35 12 1 2 7 -> 22 27 11 0 7 24 29 ,
  35 12 1 2 8 -> 22 27 11 0 7 24 30 ,
  36 12 1 2 0 -> 23 27 11 0 7 24 2 ,
  36 12 1 2 1 -> 23 27 11 0 7 24 21 ,
  36 12 1 2 3 -> 23 27 11 0 7 24 14 ,
  36 12 1 2 5 -> 23 27 11 0 7 24 28 ,
  36 12 1 2 6 -> 23 27 11 0 7 24 27 ,
  36 12 1 2 7 -> 23 27 11 0 7 24 29 ,
  36 12 1 2 8 -> 23 27 11 0 7 24 30 ,
  37 12 1 2 0 -> 24 27 11 0 7 24 2 ,
  37 12 1 2 1 -> 24 27 11 0 7 24 21 ,
  37 12 1 2 3 -> 24 27 11 0 7 24 14 ,
  37 12 1 2 5 -> 24 27 11 0 7 24 28 ,
  37 12 1 2 6 -> 24 27 11 0 7 24 27 ,
  37 12 1 2 7 -> 24 27 11 0 7 24 29 ,
  37 12 1 2 8 -> 24 27 11 0 7 24 30 ,
  38 12 1 2 0 -> 25 27 11 0 7 24 2 ,
  38 12 1 2 1 -> 25 27 11 0 7 24 21 ,
  38 12 1 2 3 -> 25 27 11 0 7 24 14 ,
  38 12 1 2 5 -> 25 27 11 0 7 24 28 ,
  38 12 1 2 6 -> 25 27 11 0 7 24 27 ,
  38 12 1 2 7 -> 25 27 11 0 7 24 29 ,
  38 12 1 2 8 -> 25 27 11 0 7 24 30 ,
  7 12 1 2 0 -> 3 4 2 0 6 36 12 ,
  7 12 1 2 1 -> 3 4 2 0 6 36 24 ,
  7 12 1 2 3 -> 3 4 2 0 6 36 41 ,
  7 12 1 2 5 -> 3 4 2 0 6 36 44 ,
  7 12 1 2 6 -> 3 4 2 0 6 36 33 ,
  7 12 1 2 7 -> 3 4 2 0 6 36 37 ,
  7 12 1 2 8 -> 3 4 2 0 6 36 46 ,
  29 12 1 2 0 -> 14 4 2 0 6 36 12 ,
  29 12 1 2 1 -> 14 4 2 0 6 36 24 ,
  29 12 1 2 3 -> 14 4 2 0 6 36 41 ,
  29 12 1 2 5 -> 14 4 2 0 6 36 44 ,
  29 12 1 2 6 -> 14 4 2 0 6 36 33 ,
  29 12 1 2 7 -> 14 4 2 0 6 36 37 ,
  29 12 1 2 8 -> 14 4 2 0 6 36 46 ,
  18 12 1 2 0 -> 15 4 2 0 6 36 12 ,
  18 12 1 2 1 -> 15 4 2 0 6 36 24 ,
  18 12 1 2 3 -> 15 4 2 0 6 36 41 ,
  18 12 1 2 5 -> 15 4 2 0 6 36 44 ,
  18 12 1 2 6 -> 15 4 2 0 6 36 33 ,
  18 12 1 2 7 -> 15 4 2 0 6 36 37 ,
  18 12 1 2 8 -> 15 4 2 0 6 36 46 ,
  35 12 1 2 0 -> 20 4 2 0 6 36 12 ,
  35 12 1 2 1 -> 20 4 2 0 6 36 24 ,
  35 12 1 2 3 -> 20 4 2 0 6 36 41 ,
  35 12 1 2 5 -> 20 4 2 0 6 36 44 ,
  35 12 1 2 6 -> 20 4 2 0 6 36 33 ,
  35 12 1 2 7 -> 20 4 2 0 6 36 37 ,
  35 12 1 2 8 -> 20 4 2 0 6 36 46 ,
  36 12 1 2 0 -> 26 4 2 0 6 36 12 ,
  36 12 1 2 1 -> 26 4 2 0 6 36 24 ,
  36 12 1 2 3 -> 26 4 2 0 6 36 41 ,
  36 12 1 2 5 -> 26 4 2 0 6 36 44 ,
  36 12 1 2 6 -> 26 4 2 0 6 36 33 ,
  36 12 1 2 7 -> 26 4 2 0 6 36 37 ,
  36 12 1 2 8 -> 26 4 2 0 6 36 46 ,
  37 12 1 2 0 -> 41 4 2 0 6 36 12 ,
  37 12 1 2 1 -> 41 4 2 0 6 36 24 ,
  37 12 1 2 3 -> 41 4 2 0 6 36 41 ,
  37 12 1 2 5 -> 41 4 2 0 6 36 44 ,
  37 12 1 2 6 -> 41 4 2 0 6 36 33 ,
  37 12 1 2 7 -> 41 4 2 0 6 36 37 ,
  37 12 1 2 8 -> 41 4 2 0 6 36 46 ,
  38 12 1 2 0 -> 47 4 2 0 6 36 12 ,
  38 12 1 2 1 -> 47 4 2 0 6 36 24 ,
  38 12 1 2 3 -> 47 4 2 0 6 36 41 ,
  38 12 1 2 5 -> 47 4 2 0 6 36 44 ,
  38 12 1 2 6 -> 47 4 2 0 6 36 33 ,
  38 12 1 2 7 -> 47 4 2 0 6 36 37 ,
  38 12 1 2 8 -> 47 4 2 0 6 36 46 ,
  0 1 2 0 0 0 -> 0 0 7 24 2 0 0 ,
  0 1 2 0 0 1 -> 0 0 7 24 2 0 1 ,
  0 1 2 0 0 3 -> 0 0 7 24 2 0 3 ,
  0 1 2 0 0 5 -> 0 0 7 24 2 0 5 ,
  0 1 2 0 0 6 -> 0 0 7 24 2 0 6 ,
  0 1 2 0 0 7 -> 0 0 7 24 2 0 7 ,
  0 1 2 0 0 8 -> 0 0 7 24 2 0 8 ,
  2 1 2 0 0 0 -> 2 0 7 24 2 0 0 ,
  2 1 2 0 0 1 -> 2 0 7 24 2 0 1 ,
  2 1 2 0 0 3 -> 2 0 7 24 2 0 3 ,
  2 1 2 0 0 5 -> 2 0 7 24 2 0 5 ,
  2 1 2 0 0 6 -> 2 0 7 24 2 0 6 ,
  2 1 2 0 0 7 -> 2 0 7 24 2 0 7 ,
  2 1 2 0 0 8 -> 2 0 7 24 2 0 8 ,
  9 1 2 0 0 0 -> 9 0 7 24 2 0 0 ,
  9 1 2 0 0 1 -> 9 0 7 24 2 0 1 ,
  9 1 2 0 0 3 -> 9 0 7 24 2 0 3 ,
  9 1 2 0 0 5 -> 9 0 7 24 2 0 5 ,
  9 1 2 0 0 6 -> 9 0 7 24 2 0 6 ,
  9 1 2 0 0 7 -> 9 0 7 24 2 0 7 ,
  9 1 2 0 0 8 -> 9 0 7 24 2 0 8 ,
  10 1 2 0 0 0 -> 10 0 7 24 2 0 0 ,
  10 1 2 0 0 1 -> 10 0 7 24 2 0 1 ,
  10 1 2 0 0 3 -> 10 0 7 24 2 0 3 ,
  10 1 2 0 0 5 -> 10 0 7 24 2 0 5 ,
  10 1 2 0 0 6 -> 10 0 7 24 2 0 6 ,
  10 1 2 0 0 7 -> 10 0 7 24 2 0 7 ,
  10 1 2 0 0 8 -> 10 0 7 24 2 0 8 ,
  11 1 2 0 0 0 -> 11 0 7 24 2 0 0 ,
  11 1 2 0 0 1 -> 11 0 7 24 2 0 1 ,
  11 1 2 0 0 3 -> 11 0 7 24 2 0 3 ,
  11 1 2 0 0 5 -> 11 0 7 24 2 0 5 ,
  11 1 2 0 0 6 -> 11 0 7 24 2 0 6 ,
  11 1 2 0 0 7 -> 11 0 7 24 2 0 7 ,
  11 1 2 0 0 8 -> 11 0 7 24 2 0 8 ,
  12 1 2 0 0 0 -> 12 0 7 24 2 0 0 ,
  12 1 2 0 0 1 -> 12 0 7 24 2 0 1 ,
  12 1 2 0 0 3 -> 12 0 7 24 2 0 3 ,
  12 1 2 0 0 5 -> 12 0 7 24 2 0 5 ,
  12 1 2 0 0 6 -> 12 0 7 24 2 0 6 ,
  12 1 2 0 0 7 -> 12 0 7 24 2 0 7 ,
  12 1 2 0 0 8 -> 12 0 7 24 2 0 8 ,
  13 1 2 0 0 0 -> 13 0 7 24 2 0 0 ,
  13 1 2 0 0 1 -> 13 0 7 24 2 0 1 ,
  13 1 2 0 0 3 -> 13 0 7 24 2 0 3 ,
  13 1 2 0 0 5 -> 13 0 7 24 2 0 5 ,
  13 1 2 0 0 6 -> 13 0 7 24 2 0 6 ,
  13 1 2 0 0 7 -> 13 0 7 24 2 0 7 ,
  13 1 2 0 0 8 -> 13 0 7 24 2 0 8 ,
  0 1 14 17 11 0 -> 0 0 7 33 26 4 2 ,
  0 1 14 17 11 1 -> 0 0 7 33 26 4 21 ,
  0 1 14 17 11 3 -> 0 0 7 33 26 4 14 ,
  0 1 14 17 11 5 -> 0 0 7 33 26 4 28 ,
  0 1 14 17 11 6 -> 0 0 7 33 26 4 27 ,
  0 1 14 17 11 7 -> 0 0 7 33 26 4 29 ,
  0 1 14 17 11 8 -> 0 0 7 33 26 4 30 ,
  2 1 14 17 11 0 -> 2 0 7 33 26 4 2 ,
  2 1 14 17 11 1 -> 2 0 7 33 26 4 21 ,
  2 1 14 17 11 3 -> 2 0 7 33 26 4 14 ,
  2 1 14 17 11 5 -> 2 0 7 33 26 4 28 ,
  2 1 14 17 11 6 -> 2 0 7 33 26 4 27 ,
  2 1 14 17 11 7 -> 2 0 7 33 26 4 29 ,
  2 1 14 17 11 8 -> 2 0 7 33 26 4 30 ,
  9 1 14 17 11 0 -> 9 0 7 33 26 4 2 ,
  9 1 14 17 11 1 -> 9 0 7 33 26 4 21 ,
  9 1 14 17 11 3 -> 9 0 7 33 26 4 14 ,
  9 1 14 17 11 5 -> 9 0 7 33 26 4 28 ,
  9 1 14 17 11 6 -> 9 0 7 33 26 4 27 ,
  9 1 14 17 11 7 -> 9 0 7 33 26 4 29 ,
  9 1 14 17 11 8 -> 9 0 7 33 26 4 30 ,
  10 1 14 17 11 0 -> 10 0 7 33 26 4 2 ,
  10 1 14 17 11 1 -> 10 0 7 33 26 4 21 ,
  10 1 14 17 11 3 -> 10 0 7 33 26 4 14 ,
  10 1 14 17 11 5 -> 10 0 7 33 26 4 28 ,
  10 1 14 17 11 6 -> 10 0 7 33 26 4 27 ,
  10 1 14 17 11 7 -> 10 0 7 33 26 4 29 ,
  10 1 14 17 11 8 -> 10 0 7 33 26 4 30 ,
  11 1 14 17 11 0 -> 11 0 7 33 26 4 2 ,
  11 1 14 17 11 1 -> 11 0 7 33 26 4 21 ,
  11 1 14 17 11 3 -> 11 0 7 33 26 4 14 ,
  11 1 14 17 11 5 -> 11 0 7 33 26 4 28 ,
  11 1 14 17 11 6 -> 11 0 7 33 26 4 27 ,
  11 1 14 17 11 7 -> 11 0 7 33 26 4 29 ,
  11 1 14 17 11 8 -> 11 0 7 33 26 4 30 ,
  12 1 14 17 11 0 -> 12 0 7 33 26 4 2 ,
  12 1 14 17 11 1 -> 12 0 7 33 26 4 21 ,
  12 1 14 17 11 3 -> 12 0 7 33 26 4 14 ,
  12 1 14 17 11 5 -> 12 0 7 33 26 4 28 ,
  12 1 14 17 11 6 -> 12 0 7 33 26 4 27 ,
  12 1 14 17 11 7 -> 12 0 7 33 26 4 29 ,
  12 1 14 17 11 8 -> 12 0 7 33 26 4 30 ,
  13 1 14 17 11 0 -> 13 0 7 33 26 4 2 ,
  13 1 14 17 11 1 -> 13 0 7 33 26 4 21 ,
  13 1 14 17 11 3 -> 13 0 7 33 26 4 14 ,
  13 1 14 17 11 5 -> 13 0 7 33 26 4 28 ,
  13 1 14 17 11 6 -> 13 0 7 33 26 4 27 ,
  13 1 14 17 11 7 -> 13 0 7 33 26 4 29 ,
  13 1 14 17 11 8 -> 13 0 7 33 26 4 30 ,
  0 1 14 18 12 0 -> 1 2 3 9 7 33 11 ,
  0 1 14 18 12 1 -> 1 2 3 9 7 33 23 ,
  0 1 14 18 12 3 -> 1 2 3 9 7 33 26 ,
  0 1 14 18 12 5 -> 1 2 3 9 7 33 42 ,
  0 1 14 18 12 6 -> 1 2 3 9 7 33 32 ,
  0 1 14 18 12 7 -> 1 2 3 9 7 33 36 ,
  0 1 14 18 12 8 -> 1 2 3 9 7 33 43 ,
  2 1 14 18 12 0 -> 21 2 3 9 7 33 11 ,
  2 1 14 18 12 1 -> 21 2 3 9 7 33 23 ,
  2 1 14 18 12 3 -> 21 2 3 9 7 33 26 ,
  2 1 14 18 12 5 -> 21 2 3 9 7 33 42 ,
  2 1 14 18 12 6 -> 21 2 3 9 7 33 32 ,
  2 1 14 18 12 7 -> 21 2 3 9 7 33 36 ,
  2 1 14 18 12 8 -> 21 2 3 9 7 33 43 ,
  9 1 14 18 12 0 -> 4 2 3 9 7 33 11 ,
  9 1 14 18 12 1 -> 4 2 3 9 7 33 23 ,
  9 1 14 18 12 3 -> 4 2 3 9 7 33 26 ,
  9 1 14 18 12 5 -> 4 2 3 9 7 33 42 ,
  9 1 14 18 12 6 -> 4 2 3 9 7 33 32 ,
  9 1 14 18 12 7 -> 4 2 3 9 7 33 36 ,
  9 1 14 18 12 8 -> 4 2 3 9 7 33 43 ,
  10 1 14 18 12 0 -> 22 2 3 9 7 33 11 ,
  10 1 14 18 12 1 -> 22 2 3 9 7 33 23 ,
  10 1 14 18 12 3 -> 22 2 3 9 7 33 26 ,
  10 1 14 18 12 5 -> 22 2 3 9 7 33 42 ,
  10 1 14 18 12 6 -> 22 2 3 9 7 33 32 ,
  10 1 14 18 12 7 -> 22 2 3 9 7 33 36 ,
  10 1 14 18 12 8 -> 22 2 3 9 7 33 43 ,
  11 1 14 18 12 0 -> 23 2 3 9 7 33 11 ,
  11 1 14 18 12 1 -> 23 2 3 9 7 33 23 ,
  11 1 14 18 12 3 -> 23 2 3 9 7 33 26 ,
  11 1 14 18 12 5 -> 23 2 3 9 7 33 42 ,
  11 1 14 18 12 6 -> 23 2 3 9 7 33 32 ,
  11 1 14 18 12 7 -> 23 2 3 9 7 33 36 ,
  11 1 14 18 12 8 -> 23 2 3 9 7 33 43 ,
  12 1 14 18 12 0 -> 24 2 3 9 7 33 11 ,
  12 1 14 18 12 1 -> 24 2 3 9 7 33 23 ,
  12 1 14 18 12 3 -> 24 2 3 9 7 33 26 ,
  12 1 14 18 12 5 -> 24 2 3 9 7 33 42 ,
  12 1 14 18 12 6 -> 24 2 3 9 7 33 32 ,
  12 1 14 18 12 7 -> 24 2 3 9 7 33 36 ,
  12 1 14 18 12 8 -> 24 2 3 9 7 33 43 ,
  13 1 14 18 12 0 -> 25 2 3 9 7 33 11 ,
  13 1 14 18 12 1 -> 25 2 3 9 7 33 23 ,
  13 1 14 18 12 3 -> 25 2 3 9 7 33 26 ,
  13 1 14 18 12 5 -> 25 2 3 9 7 33 42 ,
  13 1 14 18 12 6 -> 25 2 3 9 7 33 32 ,
  13 1 14 18 12 7 -> 25 2 3 9 7 33 36 ,
  13 1 14 18 12 8 -> 25 2 3 9 7 33 43 ,
  0 1 27 11 0 0 -> 0 0 0 6 23 2 0 ,
  0 1 27 11 0 1 -> 0 0 0 6 23 2 1 ,
  0 1 27 11 0 3 -> 0 0 0 6 23 2 3 ,
  0 1 27 11 0 5 -> 0 0 0 6 23 2 5 ,
  0 1 27 11 0 6 -> 0 0 0 6 23 2 6 ,
  0 1 27 11 0 7 -> 0 0 0 6 23 2 7 ,
  0 1 27 11 0 8 -> 0 0 0 6 23 2 8 ,
  2 1 27 11 0 0 -> 2 0 0 6 23 2 0 ,
  2 1 27 11 0 1 -> 2 0 0 6 23 2 1 ,
  2 1 27 11 0 3 -> 2 0 0 6 23 2 3 ,
  2 1 27 11 0 5 -> 2 0 0 6 23 2 5 ,
  2 1 27 11 0 6 -> 2 0 0 6 23 2 6 ,
  2 1 27 11 0 7 -> 2 0 0 6 23 2 7 ,
  2 1 27 11 0 8 -> 2 0 0 6 23 2 8 ,
  9 1 27 11 0 0 -> 9 0 0 6 23 2 0 ,
  9 1 27 11 0 1 -> 9 0 0 6 23 2 1 ,
  9 1 27 11 0 3 -> 9 0 0 6 23 2 3 ,
  9 1 27 11 0 5 -> 9 0 0 6 23 2 5 ,
  9 1 27 11 0 6 -> 9 0 0 6 23 2 6 ,
  9 1 27 11 0 7 -> 9 0 0 6 23 2 7 ,
  9 1 27 11 0 8 -> 9 0 0 6 23 2 8 ,
  10 1 27 11 0 0 -> 10 0 0 6 23 2 0 ,
  10 1 27 11 0 1 -> 10 0 0 6 23 2 1 ,
  10 1 27 11 0 3 -> 10 0 0 6 23 2 3 ,
  10 1 27 11 0 5 -> 10 0 0 6 23 2 5 ,
  10 1 27 11 0 6 -> 10 0 0 6 23 2 6 ,
  10 1 27 11 0 7 -> 10 0 0 6 23 2 7 ,
  10 1 27 11 0 8 -> 10 0 0 6 23 2 8 ,
  11 1 27 11 0 0 -> 11 0 0 6 23 2 0 ,
  11 1 27 11 0 1 -> 11 0 0 6 23 2 1 ,
  11 1 27 11 0 3 -> 11 0 0 6 23 2 3 ,
  11 1 27 11 0 5 -> 11 0 0 6 23 2 5 ,
  11 1 27 11 0 6 -> 11 0 0 6 23 2 6 ,
  11 1 27 11 0 7 -> 11 0 0 6 23 2 7 ,
  11 1 27 11 0 8 -> 11 0 0 6 23 2 8 ,
  12 1 27 11 0 0 -> 12 0 0 6 23 2 0 ,
  12 1 27 11 0 1 -> 12 0 0 6 23 2 1 ,
  12 1 27 11 0 3 -> 12 0 0 6 23 2 3 ,
  12 1 27 11 0 5 -> 12 0 0 6 23 2 5 ,
  12 1 27 11 0 6 -> 12 0 0 6 23 2 6 ,
  12 1 27 11 0 7 -> 12 0 0 6 23 2 7 ,
  12 1 27 11 0 8 -> 12 0 0 6 23 2 8 ,
  13 1 27 11 0 0 -> 13 0 0 6 23 2 0 ,
  13 1 27 11 0 1 -> 13 0 0 6 23 2 1 ,
  13 1 27 11 0 3 -> 13 0 0 6 23 2 3 ,
  13 1 27 11 0 5 -> 13 0 0 6 23 2 5 ,
  13 1 27 11 0 6 -> 13 0 0 6 23 2 6 ,
  13 1 27 11 0 7 -> 13 0 0 6 23 2 7 ,
  13 1 27 11 0 8 -> 13 0 0 6 23 2 8 ,
  0 1 27 36 12 0 -> 1 29 12 0 6 26 9 ,
  0 1 27 36 12 1 -> 1 29 12 0 6 26 4 ,
  0 1 27 36 12 3 -> 1 29 12 0 6 26 15 ,
  0 1 27 36 12 5 -> 1 29 12 0 6 26 16 ,
  0 1 27 36 12 6 -> 1 29 12 0 6 26 17 ,
  0 1 27 36 12 7 -> 1 29 12 0 6 26 18 ,
  0 1 27 36 12 8 -> 1 29 12 0 6 26 19 ,
  2 1 27 36 12 0 -> 21 29 12 0 6 26 9 ,
  2 1 27 36 12 1 -> 21 29 12 0 6 26 4 ,
  2 1 27 36 12 3 -> 21 29 12 0 6 26 15 ,
  2 1 27 36 12 5 -> 21 29 12 0 6 26 16 ,
  2 1 27 36 12 6 -> 21 29 12 0 6 26 17 ,
  2 1 27 36 12 7 -> 21 29 12 0 6 26 18 ,
  2 1 27 36 12 8 -> 21 29 12 0 6 26 19 ,
  9 1 27 36 12 0 -> 4 29 12 0 6 26 9 ,
  9 1 27 36 12 1 -> 4 29 12 0 6 26 4 ,
  9 1 27 36 12 3 -> 4 29 12 0 6 26 15 ,
  9 1 27 36 12 5 -> 4 29 12 0 6 26 16 ,
  9 1 27 36 12 6 -> 4 29 12 0 6 26 17 ,
  9 1 27 36 12 7 -> 4 29 12 0 6 26 18 ,
  9 1 27 36 12 8 -> 4 29 12 0 6 26 19 ,
  10 1 27 36 12 0 -> 22 29 12 0 6 26 9 ,
  10 1 27 36 12 1 -> 22 29 12 0 6 26 4 ,
  10 1 27 36 12 3 -> 22 29 12 0 6 26 15 ,
  10 1 27 36 12 5 -> 22 29 12 0 6 26 16 ,
  10 1 27 36 12 6 -> 22 29 12 0 6 26 17 ,
  10 1 27 36 12 7 -> 22 29 12 0 6 26 18 ,
  10 1 27 36 12 8 -> 22 29 12 0 6 26 19 ,
  11 1 27 36 12 0 -> 23 29 12 0 6 26 9 ,
  11 1 27 36 12 1 -> 23 29 12 0 6 26 4 ,
  11 1 27 36 12 3 -> 23 29 12 0 6 26 15 ,
  11 1 27 36 12 5 -> 23 29 12 0 6 26 16 ,
  11 1 27 36 12 6 -> 23 29 12 0 6 26 17 ,
  11 1 27 36 12 7 -> 23 29 12 0 6 26 18 ,
  11 1 27 36 12 8 -> 23 29 12 0 6 26 19 ,
  12 1 27 36 12 0 -> 24 29 12 0 6 26 9 ,
  12 1 27 36 12 1 -> 24 29 12 0 6 26 4 ,
  12 1 27 36 12 3 -> 24 29 12 0 6 26 15 ,
  12 1 27 36 12 5 -> 24 29 12 0 6 26 16 ,
  12 1 27 36 12 6 -> 24 29 12 0 6 26 17 ,
  12 1 27 36 12 7 -> 24 29 12 0 6 26 18 ,
  12 1 27 36 12 8 -> 24 29 12 0 6 26 19 ,
  13 1 27 36 12 0 -> 25 29 12 0 6 26 9 ,
  13 1 27 36 12 1 -> 25 29 12 0 6 26 4 ,
  13 1 27 36 12 3 -> 25 29 12 0 6 26 15 ,
  13 1 27 36 12 5 -> 25 29 12 0 6 26 16 ,
  13 1 27 36 12 6 -> 25 29 12 0 6 26 17 ,
  13 1 27 36 12 7 -> 25 29 12 0 6 26 18 ,
  13 1 27 36 12 8 -> 25 29 12 0 6 26 19 ,
  0 5 10 1 2 0 -> 0 5 10 0 3 4 2 ,
  0 5 10 1 2 1 -> 0 5 10 0 3 4 21 ,
  0 5 10 1 2 3 -> 0 5 10 0 3 4 14 ,
  0 5 10 1 2 5 -> 0 5 10 0 3 4 28 ,
  0 5 10 1 2 6 -> 0 5 10 0 3 4 27 ,
  0 5 10 1 2 7 -> 0 5 10 0 3 4 29 ,
  0 5 10 1 2 8 -> 0 5 10 0 3 4 30 ,
  2 5 10 1 2 0 -> 2 5 10 0 3 4 2 ,
  2 5 10 1 2 1 -> 2 5 10 0 3 4 21 ,
  2 5 10 1 2 3 -> 2 5 10 0 3 4 14 ,
  2 5 10 1 2 5 -> 2 5 10 0 3 4 28 ,
  2 5 10 1 2 6 -> 2 5 10 0 3 4 27 ,
  2 5 10 1 2 7 -> 2 5 10 0 3 4 29 ,
  2 5 10 1 2 8 -> 2 5 10 0 3 4 30 ,
  9 5 10 1 2 0 -> 9 5 10 0 3 4 2 ,
  9 5 10 1 2 1 -> 9 5 10 0 3 4 21 ,
  9 5 10 1 2 3 -> 9 5 10 0 3 4 14 ,
  9 5 10 1 2 5 -> 9 5 10 0 3 4 28 ,
  9 5 10 1 2 6 -> 9 5 10 0 3 4 27 ,
  9 5 10 1 2 7 -> 9 5 10 0 3 4 29 ,
  9 5 10 1 2 8 -> 9 5 10 0 3 4 30 ,
  10 5 10 1 2 0 -> 10 5 10 0 3 4 2 ,
  10 5 10 1 2 1 -> 10 5 10 0 3 4 21 ,
  10 5 10 1 2 3 -> 10 5 10 0 3 4 14 ,
  10 5 10 1 2 5 -> 10 5 10 0 3 4 28 ,
  10 5 10 1 2 6 -> 10 5 10 0 3 4 27 ,
  10 5 10 1 2 7 -> 10 5 10 0 3 4 29 ,
  10 5 10 1 2 8 -> 10 5 10 0 3 4 30 ,
  11 5 10 1 2 0 -> 11 5 10 0 3 4 2 ,
  11 5 10 1 2 1 -> 11 5 10 0 3 4 21 ,
  11 5 10 1 2 3 -> 11 5 10 0 3 4 14 ,
  11 5 10 1 2 5 -> 11 5 10 0 3 4 28 ,
  11 5 10 1 2 6 -> 11 5 10 0 3 4 27 ,
  11 5 10 1 2 7 -> 11 5 10 0 3 4 29 ,
  11 5 10 1 2 8 -> 11 5 10 0 3 4 30 ,
  12 5 10 1 2 0 -> 12 5 10 0 3 4 2 ,
  12 5 10 1 2 1 -> 12 5 10 0 3 4 21 ,
  12 5 10 1 2 3 -> 12 5 10 0 3 4 14 ,
  12 5 10 1 2 5 -> 12 5 10 0 3 4 28 ,
  12 5 10 1 2 6 -> 12 5 10 0 3 4 27 ,
  12 5 10 1 2 7 -> 12 5 10 0 3 4 29 ,
  12 5 10 1 2 8 -> 12 5 10 0 3 4 30 ,
  13 5 10 1 2 0 -> 13 5 10 0 3 4 2 ,
  13 5 10 1 2 1 -> 13 5 10 0 3 4 21 ,
  13 5 10 1 2 3 -> 13 5 10 0 3 4 14 ,
  13 5 10 1 2 5 -> 13 5 10 0 3 4 28 ,
  13 5 10 1 2 6 -> 13 5 10 0 3 4 27 ,
  13 5 10 1 2 7 -> 13 5 10 0 3 4 29 ,
  13 5 10 1 2 8 -> 13 5 10 0 3 4 30 ,
  5 10 5 22 2 0 -> 0 1 28 20 16 10 0 ,
  5 10 5 22 2 1 -> 0 1 28 20 16 10 1 ,
  5 10 5 22 2 3 -> 0 1 28 20 16 10 3 ,
  5 10 5 22 2 5 -> 0 1 28 20 16 10 5 ,
  5 10 5 22 2 6 -> 0 1 28 20 16 10 6 ,
  5 10 5 22 2 7 -> 0 1 28 20 16 10 7 ,
  5 10 5 22 2 8 -> 0 1 28 20 16 10 8 ,
  28 10 5 22 2 0 -> 2 1 28 20 16 10 0 ,
  28 10 5 22 2 1 -> 2 1 28 20 16 10 1 ,
  28 10 5 22 2 3 -> 2 1 28 20 16 10 3 ,
  28 10 5 22 2 5 -> 2 1 28 20 16 10 5 ,
  28 10 5 22 2 6 -> 2 1 28 20 16 10 6 ,
  28 10 5 22 2 7 -> 2 1 28 20 16 10 7 ,
  28 10 5 22 2 8 -> 2 1 28 20 16 10 8 ,
  16 10 5 22 2 0 -> 9 1 28 20 16 10 0 ,
  16 10 5 22 2 1 -> 9 1 28 20 16 10 1 ,
  16 10 5 22 2 3 -> 9 1 28 20 16 10 3 ,
  16 10 5 22 2 5 -> 9 1 28 20 16 10 5 ,
  16 10 5 22 2 6 -> 9 1 28 20 16 10 6 ,
  16 10 5 22 2 7 -> 9 1 28 20 16 10 7 ,
  16 10 5 22 2 8 -> 9 1 28 20 16 10 8 ,
  39 10 5 22 2 0 -> 10 1 28 20 16 10 0 ,
  39 10 5 22 2 1 -> 10 1 28 20 16 10 1 ,
  39 10 5 22 2 3 -> 10 1 28 20 16 10 3 ,
  39 10 5 22 2 5 -> 10 1 28 20 16 10 5 ,
  39 10 5 22 2 6 -> 10 1 28 20 16 10 6 ,
  39 10 5 22 2 7 -> 10 1 28 20 16 10 7 ,
  39 10 5 22 2 8 -> 10 1 28 20 16 10 8 ,
  42 10 5 22 2 0 -> 11 1 28 20 16 10 0 ,
  42 10 5 22 2 1 -> 11 1 28 20 16 10 1 ,
  42 10 5 22 2 3 -> 11 1 28 20 16 10 3 ,
  42 10 5 22 2 5 -> 11 1 28 20 16 10 5 ,
  42 10 5 22 2 6 -> 11 1 28 20 16 10 6 ,
  42 10 5 22 2 7 -> 11 1 28 20 16 10 7 ,
  42 10 5 22 2 8 -> 11 1 28 20 16 10 8 ,
  44 10 5 22 2 0 -> 12 1 28 20 16 10 0 ,
  44 10 5 22 2 1 -> 12 1 28 20 16 10 1 ,
  44 10 5 22 2 3 -> 12 1 28 20 16 10 3 ,
  44 10 5 22 2 5 -> 12 1 28 20 16 10 5 ,
  44 10 5 22 2 6 -> 12 1 28 20 16 10 6 ,
  44 10 5 22 2 7 -> 12 1 28 20 16 10 7 ,
  44 10 5 22 2 8 -> 12 1 28 20 16 10 8 ,
  45 10 5 22 2 0 -> 13 1 28 20 16 10 0 ,
  45 10 5 22 2 1 -> 13 1 28 20 16 10 1 ,
  45 10 5 22 2 3 -> 13 1 28 20 16 10 3 ,
  45 10 5 22 2 5 -> 13 1 28 20 16 10 5 ,
  45 10 5 22 2 6 -> 13 1 28 20 16 10 6 ,
  45 10 5 22 2 7 -> 13 1 28 20 16 10 7 ,
  45 10 5 22 2 8 -> 13 1 28 20 16 10 8 ,
  7 12 1 14 9 0 -> 0 0 7 41 4 2 0 ,
  7 12 1 14 9 1 -> 0 0 7 41 4 2 1 ,
  7 12 1 14 9 3 -> 0 0 7 41 4 2 3 ,
  7 12 1 14 9 5 -> 0 0 7 41 4 2 5 ,
  7 12 1 14 9 6 -> 0 0 7 41 4 2 6 ,
  7 12 1 14 9 7 -> 0 0 7 41 4 2 7 ,
  7 12 1 14 9 8 -> 0 0 7 41 4 2 8 ,
  29 12 1 14 9 0 -> 2 0 7 41 4 2 0 ,
  29 12 1 14 9 1 -> 2 0 7 41 4 2 1 ,
  29 12 1 14 9 3 -> 2 0 7 41 4 2 3 ,
  29 12 1 14 9 5 -> 2 0 7 41 4 2 5 ,
  29 12 1 14 9 6 -> 2 0 7 41 4 2 6 ,
  29 12 1 14 9 7 -> 2 0 7 41 4 2 7 ,
  29 12 1 14 9 8 -> 2 0 7 41 4 2 8 ,
  18 12 1 14 9 0 -> 9 0 7 41 4 2 0 ,
  18 12 1 14 9 1 -> 9 0 7 41 4 2 1 ,
  18 12 1 14 9 3 -> 9 0 7 41 4 2 3 ,
  18 12 1 14 9 5 -> 9 0 7 41 4 2 5 ,
  18 12 1 14 9 6 -> 9 0 7 41 4 2 6 ,
  18 12 1 14 9 7 -> 9 0 7 41 4 2 7 ,
  18 12 1 14 9 8 -> 9 0 7 41 4 2 8 ,
  35 12 1 14 9 0 -> 10 0 7 41 4 2 0 ,
  35 12 1 14 9 1 -> 10 0 7 41 4 2 1 ,
  35 12 1 14 9 3 -> 10 0 7 41 4 2 3 ,
  35 12 1 14 9 5 -> 10 0 7 41 4 2 5 ,
  35 12 1 14 9 6 -> 10 0 7 41 4 2 6 ,
  35 12 1 14 9 7 -> 10 0 7 41 4 2 7 ,
  35 12 1 14 9 8 -> 10 0 7 41 4 2 8 ,
  36 12 1 14 9 0 -> 11 0 7 41 4 2 0 ,
  36 12 1 14 9 1 -> 11 0 7 41 4 2 1 ,
  36 12 1 14 9 3 -> 11 0 7 41 4 2 3 ,
  36 12 1 14 9 5 -> 11 0 7 41 4 2 5 ,
  36 12 1 14 9 6 -> 11 0 7 41 4 2 6 ,
  36 12 1 14 9 7 -> 11 0 7 41 4 2 7 ,
  36 12 1 14 9 8 -> 11 0 7 41 4 2 8 ,
  37 12 1 14 9 0 -> 12 0 7 41 4 2 0 ,
  37 12 1 14 9 1 -> 12 0 7 41 4 2 1 ,
  37 12 1 14 9 3 -> 12 0 7 41 4 2 3 ,
  37 12 1 14 9 5 -> 12 0 7 41 4 2 5 ,
  37 12 1 14 9 6 -> 12 0 7 41 4 2 6 ,
  37 12 1 14 9 7 -> 12 0 7 41 4 2 7 ,
  37 12 1 14 9 8 -> 12 0 7 41 4 2 8 ,
  38 12 1 14 9 0 -> 13 0 7 41 4 2 0 ,
  38 12 1 14 9 1 -> 13 0 7 41 4 2 1 ,
  38 12 1 14 9 3 -> 13 0 7 41 4 2 3 ,
  38 12 1 14 9 5 -> 13 0 7 41 4 2 5 ,
  38 12 1 14 9 6 -> 13 0 7 41 4 2 6 ,
  38 12 1 14 9 7 -> 13 0 7 41 4 2 7 ,
  38 12 1 14 9 8 -> 13 0 7 41 4 2 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 5 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
15 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
16 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
17 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
18 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
19 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
20 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
21 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
22 is interpreted by
 /   \
| 1 5 |
| 0 1 |
 \   /
23 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
24 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
25 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
26 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
27 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
28 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
29 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
30 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
31 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
32 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
33 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
34 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
35 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
36 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
37 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
38 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
39 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
40 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
41 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
42 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
43 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
44 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
45 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
46 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
47 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 9->4, 15->5, 6->6, 17->7, 7->8, 18->9, 10->10, 22->11, 5->12, 8->13, 26->14, 33->15, 32->16, 11->17, 36->18, 39->19, 20->20, 16->21, 44->22, 14->23, 21->24, 28->25, 29->26, 12->27, 27->28, 24->29 }, 
it remains to prove termination of the 170-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 13 -> 1 2 0 3 4 13 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  0 1 2 13 -> 1 2 6 14 4 13 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  0 1 2 13 -> 1 2 6 16 16 17 13 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 0 1 2 13 -> 1 2 0 3 4 13 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  10 0 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 20 -> 1 2 12 19 10 3 5 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 21 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 20 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 21 ,
  0 1 2 12 19 -> 1 2 8 22 20 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 20 4 12 ,
  0 1 23 4 0 -> 1 24 2 3 4 0 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 3 -> 1 24 2 3 4 3 ,
  0 1 23 4 12 -> 1 24 2 3 4 12 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 0 -> 1 24 23 4 6 17 0 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 3 -> 1 24 23 4 6 17 3 ,
  0 1 23 4 12 -> 1 24 23 4 6 17 12 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  21 10 12 11 2 0 -> 4 1 25 20 21 10 0 ,
  21 10 12 11 2 1 -> 4 1 25 20 21 10 1 ,
  21 10 12 11 2 3 -> 4 1 25 20 21 10 3 ,
  21 10 12 11 2 12 -> 4 1 25 20 21 10 12 ,
  21 10 12 11 2 6 -> 4 1 25 20 21 10 6 ,
  21 10 12 11 2 8 -> 4 1 25 20 21 10 8 ,
  21 10 12 11 2 13 -> 4 1 25 20 21 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 20 21 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 20 21 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 20 21 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 20 21 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 20 21 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 20 21 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 20 21 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 20 21 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 20 21 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 20 21 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 20 21 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 20 21 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 20 21 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 20 21 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

0 is interpreted by
 /         \
| 1 0 1 0 0 |
| 0 1 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 1 0 0 0 |
| 0 0 0 1 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
2 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 1 |
| 0 0 0 0 0 |
 \         /
3 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 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 1 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 1 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 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
11 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
12 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
13 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 1 0 0 0 |
 \         /
14 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
15 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
16 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
17 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
18 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
19 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
20 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
21 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
22 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
23 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
24 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
25 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
26 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
27 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
28 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
29 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 165-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 20 -> 1 2 12 19 10 3 5 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 21 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 20 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 21 ,
  0 1 2 12 19 -> 1 2 8 22 20 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 20 4 12 ,
  0 1 23 4 0 -> 1 24 2 3 4 0 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 3 -> 1 24 2 3 4 3 ,
  0 1 23 4 12 -> 1 24 2 3 4 12 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 0 -> 1 24 23 4 6 17 0 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 3 -> 1 24 23 4 6 17 3 ,
  0 1 23 4 12 -> 1 24 23 4 6 17 12 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  21 10 12 11 2 0 -> 4 1 25 20 21 10 0 ,
  21 10 12 11 2 1 -> 4 1 25 20 21 10 1 ,
  21 10 12 11 2 3 -> 4 1 25 20 21 10 3 ,
  21 10 12 11 2 12 -> 4 1 25 20 21 10 12 ,
  21 10 12 11 2 6 -> 4 1 25 20 21 10 6 ,
  21 10 12 11 2 8 -> 4 1 25 20 21 10 8 ,
  21 10 12 11 2 13 -> 4 1 25 20 21 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 20 21 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 20 21 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 20 21 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 20 21 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 20 21 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 20 21 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 20 21 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 20 21 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 20 21 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 20 21 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 20 21 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 20 21 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 20 21 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 20 21 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
3 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 21->20, 20->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 164-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 0 -> 1 24 2 3 4 0 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 3 -> 1 24 2 3 4 3 ,
  0 1 23 4 12 -> 1 24 2 3 4 12 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 0 -> 1 24 23 4 6 17 0 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 3 -> 1 24 23 4 6 17 3 ,
  0 1 23 4 12 -> 1 24 23 4 6 17 12 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
1 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 162-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 3 -> 1 24 2 3 4 3 ,
  0 1 23 4 12 -> 1 24 2 3 4 12 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 3 -> 1 24 23 4 6 17 3 ,
  0 1 23 4 12 -> 1 24 23 4 6 17 12 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
4 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 160-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 12 -> 1 24 2 3 4 12 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 12 -> 1 24 23 4 6 17 12 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 158-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 6 -> 1 24 2 3 4 6 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 6 -> 1 24 23 4 6 17 6 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
7 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 156-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 8 -> 1 24 2 3 4 8 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 8 -> 1 24 23 4 6 17 8 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
9 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 154-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  0 1 23 4 13 -> 1 24 2 3 4 13 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  0 1 23 4 13 -> 1 24 23 4 6 17 13 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
5 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 152-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 0 -> 1 2 12 10 3 4 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
1 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 151-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 3 -> 1 2 12 10 3 5 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
4 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 150-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 6 -> 1 2 12 10 3 7 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
7 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 149-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  0 1 25 10 8 -> 1 2 12 10 3 9 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
9 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 148-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  10 1 2 0 -> 11 2 0 0 3 4 ,
  10 1 2 3 -> 11 2 0 0 3 5 ,
  10 1 2 6 -> 11 2 0 0 3 7 ,
  10 1 2 8 -> 11 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 12 -> 1 2 0 3 4 12 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  10 1 2 0 -> 11 2 0 3 4 0 ,
  10 1 2 1 -> 11 2 0 3 4 1 ,
  10 1 2 3 -> 11 2 0 3 4 3 ,
  10 1 2 12 -> 11 2 0 3 4 12 ,
  10 1 2 6 -> 11 2 0 3 4 6 ,
  10 1 2 8 -> 11 2 0 3 4 8 ,
  10 1 2 13 -> 11 2 0 3 4 13 ,
  0 1 2 0 -> 1 2 6 14 4 0 ,
  0 1 2 1 -> 1 2 6 14 4 1 ,
  0 1 2 3 -> 1 2 6 14 4 3 ,
  0 1 2 12 -> 1 2 6 14 4 12 ,
  0 1 2 6 -> 1 2 6 14 4 6 ,
  0 1 2 8 -> 1 2 6 14 4 8 ,
  10 1 2 0 -> 11 2 6 14 4 0 ,
  10 1 2 1 -> 11 2 6 14 4 1 ,
  10 1 2 3 -> 11 2 6 14 4 3 ,
  10 1 2 12 -> 11 2 6 14 4 12 ,
  10 1 2 6 -> 11 2 6 14 4 6 ,
  10 1 2 8 -> 11 2 6 14 4 8 ,
  10 1 2 13 -> 11 2 6 14 4 13 ,
  0 1 2 0 -> 1 2 0 8 15 16 17 ,
  0 1 2 3 -> 1 2 0 8 15 16 14 ,
  0 1 2 6 -> 1 2 0 8 15 16 16 ,
  0 1 2 8 -> 1 2 0 8 15 16 18 ,
  10 1 2 0 -> 11 2 0 8 15 16 17 ,
  10 1 2 3 -> 11 2 0 8 15 16 14 ,
  10 1 2 6 -> 11 2 0 8 15 16 16 ,
  10 1 2 8 -> 11 2 0 8 15 16 18 ,
  0 1 2 0 -> 1 2 6 16 16 17 0 ,
  0 1 2 1 -> 1 2 6 16 16 17 1 ,
  0 1 2 3 -> 1 2 6 16 16 17 3 ,
  0 1 2 12 -> 1 2 6 16 16 17 12 ,
  0 1 2 6 -> 1 2 6 16 16 17 6 ,
  0 1 2 8 -> 1 2 6 16 16 17 8 ,
  10 1 2 0 -> 11 2 6 16 16 17 0 ,
  10 1 2 1 -> 11 2 6 16 16 17 1 ,
  10 1 2 3 -> 11 2 6 16 16 17 3 ,
  10 1 2 12 -> 11 2 6 16 16 17 12 ,
  10 1 2 6 -> 11 2 6 16 16 17 6 ,
  10 1 2 8 -> 11 2 6 16 16 17 8 ,
  10 1 2 13 -> 11 2 6 16 16 17 13 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 12 -> 1 2 0 3 4 12 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  10 0 1 2 0 -> 11 2 0 3 4 0 ,
  10 0 1 2 1 -> 11 2 0 3 4 1 ,
  10 0 1 2 3 -> 11 2 0 3 4 3 ,
  10 0 1 2 12 -> 11 2 0 3 4 12 ,
  10 0 1 2 6 -> 11 2 0 3 4 6 ,
  10 0 1 2 8 -> 11 2 0 3 4 8 ,
  0 1 2 12 10 -> 1 2 12 19 10 3 4 ,
  0 1 2 12 19 -> 1 2 12 19 10 3 20 ,
  10 1 2 12 10 -> 11 2 12 19 10 3 4 ,
  10 1 2 12 21 -> 11 2 12 19 10 3 5 ,
  10 1 2 12 19 -> 11 2 12 19 10 3 20 ,
  0 1 2 12 19 -> 1 2 8 22 21 4 12 ,
  10 1 2 12 19 -> 11 2 8 22 21 4 12 ,
  0 1 23 4 1 -> 1 24 2 3 4 1 ,
  10 1 23 4 0 -> 11 24 2 3 4 0 ,
  10 1 23 4 1 -> 11 24 2 3 4 1 ,
  10 1 23 4 3 -> 11 24 2 3 4 3 ,
  10 1 23 4 12 -> 11 24 2 3 4 12 ,
  10 1 23 4 6 -> 11 24 2 3 4 6 ,
  10 1 23 4 8 -> 11 24 2 3 4 8 ,
  10 1 23 4 13 -> 11 24 2 3 4 13 ,
  0 1 23 4 1 -> 1 24 23 4 6 17 1 ,
  10 1 23 4 0 -> 11 24 23 4 6 17 0 ,
  10 1 23 4 1 -> 11 24 23 4 6 17 1 ,
  10 1 23 4 3 -> 11 24 23 4 6 17 3 ,
  10 1 23 4 12 -> 11 24 23 4 6 17 12 ,
  10 1 23 4 6 -> 11 24 23 4 6 17 6 ,
  10 1 23 4 8 -> 11 24 23 4 6 17 8 ,
  10 1 23 4 13 -> 11 24 23 4 6 17 13 ,
  10 1 25 10 0 -> 11 2 12 10 3 4 ,
  10 1 25 10 3 -> 11 2 12 10 3 5 ,
  10 1 25 10 6 -> 11 2 12 10 3 7 ,
  10 1 25 10 8 -> 11 2 12 10 3 9 ,
  0 1 26 27 0 -> 1 26 22 10 3 4 0 ,
  0 1 26 27 1 -> 1 26 22 10 3 4 1 ,
  0 1 26 27 3 -> 1 26 22 10 3 4 3 ,
  0 1 26 27 12 -> 1 26 22 10 3 4 12 ,
  0 1 26 27 6 -> 1 26 22 10 3 4 6 ,
  0 1 26 27 8 -> 1 26 22 10 3 4 8 ,
  0 1 26 27 13 -> 1 26 22 10 3 4 13 ,
  10 1 26 27 0 -> 11 26 22 10 3 4 0 ,
  10 1 26 27 1 -> 11 26 22 10 3 4 1 ,
  10 1 26 27 3 -> 11 26 22 10 3 4 3 ,
  10 1 26 27 12 -> 11 26 22 10 3 4 12 ,
  10 1 26 27 6 -> 11 26 22 10 3 4 6 ,
  10 1 26 27 8 -> 11 26 22 10 3 4 8 ,
  10 1 26 27 13 -> 11 26 22 10 3 4 13 ,
  8 27 1 2 0 -> 1 28 17 0 8 29 2 ,
  8 27 1 2 3 -> 1 28 17 0 8 29 23 ,
  8 27 1 2 12 -> 1 28 17 0 8 29 25 ,
  0 1 23 9 27 0 -> 1 2 3 4 8 15 17 ,
  0 1 23 9 27 3 -> 1 2 3 4 8 15 14 ,
  0 1 23 9 27 6 -> 1 2 3 4 8 15 16 ,
  0 1 23 9 27 8 -> 1 2 3 4 8 15 18 ,
  10 1 23 9 27 0 -> 11 2 3 4 8 15 17 ,
  10 1 23 9 27 3 -> 11 2 3 4 8 15 14 ,
  10 1 23 9 27 6 -> 11 2 3 4 8 15 16 ,
  10 1 23 9 27 8 -> 11 2 3 4 8 15 18 ,
  0 1 28 18 27 0 -> 1 26 27 0 6 14 4 ,
  0 1 28 18 27 3 -> 1 26 27 0 6 14 5 ,
  0 1 28 18 27 6 -> 1 26 27 0 6 14 7 ,
  0 1 28 18 27 8 -> 1 26 27 0 6 14 9 ,
  10 1 28 18 27 0 -> 11 26 27 0 6 14 4 ,
  10 1 28 18 27 3 -> 11 26 27 0 6 14 5 ,
  10 1 28 18 27 6 -> 11 26 27 0 6 14 7 ,
  10 1 28 18 27 8 -> 11 26 27 0 6 14 9 ,
  20 10 12 11 2 0 -> 4 1 25 21 20 10 0 ,
  20 10 12 11 2 1 -> 4 1 25 21 20 10 1 ,
  20 10 12 11 2 3 -> 4 1 25 21 20 10 3 ,
  20 10 12 11 2 12 -> 4 1 25 21 20 10 12 ,
  20 10 12 11 2 6 -> 4 1 25 21 20 10 6 ,
  20 10 12 11 2 8 -> 4 1 25 21 20 10 8 ,
  20 10 12 11 2 13 -> 4 1 25 21 20 10 13 ,
  19 10 12 11 2 0 -> 10 1 25 21 20 10 0 ,
  19 10 12 11 2 1 -> 10 1 25 21 20 10 1 ,
  19 10 12 11 2 3 -> 10 1 25 21 20 10 3 ,
  19 10 12 11 2 12 -> 10 1 25 21 20 10 12 ,
  19 10 12 11 2 6 -> 10 1 25 21 20 10 6 ,
  19 10 12 11 2 8 -> 10 1 25 21 20 10 8 ,
  19 10 12 11 2 13 -> 10 1 25 21 20 10 13 ,
  22 10 12 11 2 0 -> 27 1 25 21 20 10 0 ,
  22 10 12 11 2 1 -> 27 1 25 21 20 10 1 ,
  22 10 12 11 2 3 -> 27 1 25 21 20 10 3 ,
  22 10 12 11 2 12 -> 27 1 25 21 20 10 12 ,
  22 10 12 11 2 6 -> 27 1 25 21 20 10 6 ,
  22 10 12 11 2 8 -> 27 1 25 21 20 10 8 ,
  22 10 12 11 2 13 -> 27 1 25 21 20 10 13 }


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 |
 \   /
10 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
15 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
16 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
17 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
18 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
19 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
20 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
21 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
22 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
23 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
24 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
25 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
26 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
27 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
28 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
29 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 12->10, 14->11, 15->12, 16->13, 17->14, 18->15, 10->16, 19->17, 20->18, 22->19, 21->20, 23->21, 24->22, 25->23, 11->24, 26->25, 27->26, 13->27, 28->28, 29->29 }, 
it remains to prove termination of the 79-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  0 1 25 26 3 -> 1 25 19 16 3 4 3 ,
  0 1 25 26 10 -> 1 25 19 16 3 4 10 ,
  0 1 25 26 6 -> 1 25 19 16 3 4 6 ,
  0 1 25 26 8 -> 1 25 19 16 3 4 8 ,
  0 1 25 26 27 -> 1 25 19 16 3 4 27 ,
  8 26 1 2 0 -> 1 28 14 0 8 29 2 ,
  8 26 1 2 3 -> 1 28 14 0 8 29 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 28 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 28 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 28 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 28 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 27 -> 4 1 23 20 18 16 27 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 27 -> 16 1 23 20 18 16 27 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 27 -> 26 1 23 20 18 16 27 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
4 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 78-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  0 1 25 26 10 -> 1 25 19 16 3 4 10 ,
  0 1 25 26 6 -> 1 25 19 16 3 4 6 ,
  0 1 25 26 8 -> 1 25 19 16 3 4 8 ,
  0 1 25 26 27 -> 1 25 19 16 3 4 27 ,
  8 26 1 2 0 -> 1 28 14 0 8 29 2 ,
  8 26 1 2 3 -> 1 28 14 0 8 29 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 28 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 28 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 28 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 28 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 27 -> 4 1 23 20 18 16 27 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 27 -> 16 1 23 20 18 16 27 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 27 -> 26 1 23 20 18 16 27 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 77-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  0 1 25 26 6 -> 1 25 19 16 3 4 6 ,
  0 1 25 26 8 -> 1 25 19 16 3 4 8 ,
  0 1 25 26 27 -> 1 25 19 16 3 4 27 ,
  8 26 1 2 0 -> 1 28 14 0 8 29 2 ,
  8 26 1 2 3 -> 1 28 14 0 8 29 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 28 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 28 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 28 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 28 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 27 -> 4 1 23 20 18 16 27 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 27 -> 16 1 23 20 18 16 27 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 27 -> 26 1 23 20 18 16 27 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
7 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 76-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  0 1 25 26 8 -> 1 25 19 16 3 4 8 ,
  0 1 25 26 27 -> 1 25 19 16 3 4 27 ,
  8 26 1 2 0 -> 1 28 14 0 8 29 2 ,
  8 26 1 2 3 -> 1 28 14 0 8 29 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 28 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 28 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 28 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 28 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 27 -> 4 1 23 20 18 16 27 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 27 -> 16 1 23 20 18 16 27 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 27 -> 26 1 23 20 18 16 27 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
9 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 75-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  0 1 25 26 27 -> 1 25 19 16 3 4 27 ,
  8 26 1 2 0 -> 1 28 14 0 8 29 2 ,
  8 26 1 2 3 -> 1 28 14 0 8 29 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 28 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 28 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 28 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 28 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 27 -> 4 1 23 20 18 16 27 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 27 -> 16 1 23 20 18 16 27 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 27 -> 26 1 23 20 18 16 27 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

0 is interpreted by
 /           \
| 1 0 1 0 0 0 |
| 0 1 0 0 0 0 |
| 0 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 1 0 0 0 0 |
| 0 0 0 1 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
11 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
12 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
13 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
14 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
15 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
16 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
17 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
18 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
19 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
20 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
21 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
22 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
23 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
24 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
25 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 1 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
26 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |
 \           /
27 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 1 0 0 0 0 |
 \           /
28 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
| 0 0 0 0 0 0 |
 \           /
29 is interpreted by
 /           \
| 1 0 0 0 0 0 |
| 0 1 0 0 0 0 |
| 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 28->27, 29->28, 27->29 }, 
it remains to prove termination of the 74-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  8 26 1 2 0 -> 1 27 14 0 8 28 2 ,
  8 26 1 2 3 -> 1 27 14 0 8 28 21 ,
  0 1 21 9 26 0 -> 1 2 3 4 8 12 14 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 27 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 27 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 27 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 27 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 29 -> 4 1 23 20 18 16 29 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 29 -> 16 1 23 20 18 16 29 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 29 -> 26 1 23 20 18 16 29 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 7:

0 is interpreted by
 /             \
| 1 0 1 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
 \             /
1 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 1 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
11 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
12 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
13 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
14 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
15 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
16 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
17 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
18 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
19 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
20 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
21 is interpreted by
 /             \
| 1 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 |
 \             /
22 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
23 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
24 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
25 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
26 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 |
 \             /
27 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
28 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
29 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 73-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  8 26 1 2 0 -> 1 27 14 0 8 28 2 ,
  8 26 1 2 3 -> 1 27 14 0 8 28 21 ,
  0 1 21 9 26 3 -> 1 2 3 4 8 12 11 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 27 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 27 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 27 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 27 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 29 -> 4 1 23 20 18 16 29 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 29 -> 16 1 23 20 18 16 29 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 29 -> 26 1 23 20 18 16 29 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 7:

0 is interpreted by
 /             \
| 1 0 1 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 1 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
 \             /
4 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
11 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
12 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
13 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
14 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
15 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
16 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
17 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
18 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
19 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
20 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
21 is interpreted by
 /             \
| 1 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 |
 \             /
22 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
23 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
24 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
25 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
26 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 |
 \             /
27 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
28 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
29 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 72-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  8 26 1 2 0 -> 1 27 14 0 8 28 2 ,
  8 26 1 2 3 -> 1 27 14 0 8 28 21 ,
  0 1 21 9 26 6 -> 1 2 3 4 8 12 13 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 27 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 27 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 27 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 27 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 29 -> 4 1 23 20 18 16 29 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 29 -> 16 1 23 20 18 16 29 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 29 -> 26 1 23 20 18 16 29 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 7:

0 is interpreted by
 /             \
| 1 0 1 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 1 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
 \             /
7 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
11 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
12 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
13 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
14 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
15 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
16 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
17 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
18 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
19 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
20 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
21 is interpreted by
 /             \
| 1 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 |
 \             /
22 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
23 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
24 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
25 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
26 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 |
 \             /
27 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
28 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
29 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 71-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  8 26 1 2 0 -> 1 27 14 0 8 28 2 ,
  8 26 1 2 3 -> 1 27 14 0 8 28 21 ,
  0 1 21 9 26 8 -> 1 2 3 4 8 12 15 ,
  0 1 27 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 27 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 27 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 27 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 29 -> 4 1 23 20 18 16 29 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 29 -> 16 1 23 20 18 16 29 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 29 -> 26 1 23 20 18 16 29 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 7:

0 is interpreted by
 /             \
| 1 0 1 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 1 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
 \             /
9 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 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 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
11 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
12 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
13 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
14 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
15 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
16 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
17 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
18 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
19 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
20 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
21 is interpreted by
 /             \
| 1 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 |
 \             /
22 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
23 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
24 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
25 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
26 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 |
 \             /
27 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
28 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
29 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 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, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23, 24->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 70-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 3 -> 1 2 0 0 3 5 ,
  0 1 2 6 -> 1 2 0 0 3 7 ,
  0 1 2 8 -> 1 2 0 0 3 9 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 3 -> 1 2 0 3 4 3 ,
  0 1 2 10 -> 1 2 0 3 4 10 ,
  0 1 2 6 -> 1 2 0 3 4 6 ,
  0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 0 -> 1 2 6 11 4 0 ,
  0 1 2 1 -> 1 2 6 11 4 1 ,
  0 1 2 3 -> 1 2 6 11 4 3 ,
  0 1 2 10 -> 1 2 6 11 4 10 ,
  0 1 2 6 -> 1 2 6 11 4 6 ,
  0 1 2 8 -> 1 2 6 11 4 8 ,
  0 1 2 0 -> 1 2 0 8 12 13 14 ,
  0 1 2 3 -> 1 2 0 8 12 13 11 ,
  0 1 2 6 -> 1 2 0 8 12 13 13 ,
  0 1 2 8 -> 1 2 0 8 12 13 15 ,
  0 1 2 0 -> 1 2 6 13 13 14 0 ,
  0 1 2 1 -> 1 2 6 13 13 14 1 ,
  0 1 2 3 -> 1 2 6 13 13 14 3 ,
  0 1 2 10 -> 1 2 6 13 13 14 10 ,
  0 1 2 6 -> 1 2 6 13 13 14 6 ,
  0 1 2 8 -> 1 2 6 13 13 14 8 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 3 -> 1 2 0 3 4 3 ,
  0 0 1 2 10 -> 1 2 0 3 4 10 ,
  0 0 1 2 6 -> 1 2 0 3 4 6 ,
  0 0 1 2 8 -> 1 2 0 3 4 8 ,
  0 1 2 10 16 -> 1 2 10 17 16 3 4 ,
  0 1 2 10 17 -> 1 2 10 17 16 3 18 ,
  0 1 2 10 17 -> 1 2 8 19 20 4 10 ,
  0 1 21 4 1 -> 1 22 2 3 4 1 ,
  0 1 21 4 1 -> 1 22 21 4 6 14 1 ,
  16 1 23 16 0 -> 24 2 10 16 3 4 ,
  16 1 23 16 3 -> 24 2 10 16 3 5 ,
  16 1 23 16 6 -> 24 2 10 16 3 7 ,
  16 1 23 16 8 -> 24 2 10 16 3 9 ,
  0 1 25 26 0 -> 1 25 19 16 3 4 0 ,
  0 1 25 26 1 -> 1 25 19 16 3 4 1 ,
  8 26 1 2 0 -> 1 27 14 0 8 28 2 ,
  8 26 1 2 3 -> 1 27 14 0 8 28 21 ,
  0 1 27 15 26 0 -> 1 25 26 0 6 11 4 ,
  0 1 27 15 26 3 -> 1 25 26 0 6 11 5 ,
  0 1 27 15 26 6 -> 1 25 26 0 6 11 7 ,
  0 1 27 15 26 8 -> 1 25 26 0 6 11 9 ,
  18 16 10 24 2 0 -> 4 1 23 20 18 16 0 ,
  18 16 10 24 2 1 -> 4 1 23 20 18 16 1 ,
  18 16 10 24 2 3 -> 4 1 23 20 18 16 3 ,
  18 16 10 24 2 10 -> 4 1 23 20 18 16 10 ,
  18 16 10 24 2 6 -> 4 1 23 20 18 16 6 ,
  18 16 10 24 2 8 -> 4 1 23 20 18 16 8 ,
  18 16 10 24 2 29 -> 4 1 23 20 18 16 29 ,
  17 16 10 24 2 0 -> 16 1 23 20 18 16 0 ,
  17 16 10 24 2 1 -> 16 1 23 20 18 16 1 ,
  17 16 10 24 2 3 -> 16 1 23 20 18 16 3 ,
  17 16 10 24 2 10 -> 16 1 23 20 18 16 10 ,
  17 16 10 24 2 6 -> 16 1 23 20 18 16 6 ,
  17 16 10 24 2 8 -> 16 1 23 20 18 16 8 ,
  17 16 10 24 2 29 -> 16 1 23 20 18 16 29 ,
  19 16 10 24 2 0 -> 26 1 23 20 18 16 0 ,
  19 16 10 24 2 1 -> 26 1 23 20 18 16 1 ,
  19 16 10 24 2 3 -> 26 1 23 20 18 16 3 ,
  19 16 10 24 2 10 -> 26 1 23 20 18 16 10 ,
  19 16 10 24 2 6 -> 26 1 23 20 18 16 6 ,
  19 16 10 24 2 8 -> 26 1 23 20 18 16 8 ,
  19 16 10 24 2 29 -> 26 1 23 20 18 16 29 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

0 is interpreted by
 /         \
| 1 0 1 0 0 |
| 0 1 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 1 0 0 0 |
| 0 0 0 1 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
2 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 1 |
| 0 0 0 0 0 |
 \         /
3 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 1 0 0 0 |
 \         /
4 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 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 1 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 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
11 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
12 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
13 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
14 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
15 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
16 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
17 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
18 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
19 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
20 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
21 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
22 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
23 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
24 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
25 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
26 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
27 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
28 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
29 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 6->5, 7->6, 8->7, 9->8, 10->9, 11->10, 12->11, 13->12, 14->13, 15->14, 16->15, 17->16, 18->17, 19->18, 20->19, 21->20, 22->21, 23->22, 24->23, 5->24, 25->25, 26->26, 27->27, 28->28, 29->29 }, 
it remains to prove termination of the 64-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 5 -> 1 2 0 0 3 6 ,
  0 1 2 7 -> 1 2 0 0 3 8 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 9 -> 1 2 0 3 4 9 ,
  0 1 2 5 -> 1 2 0 3 4 5 ,
  0 1 2 7 -> 1 2 0 3 4 7 ,
  0 1 2 0 -> 1 2 5 10 4 0 ,
  0 1 2 1 -> 1 2 5 10 4 1 ,
  0 1 2 9 -> 1 2 5 10 4 9 ,
  0 1 2 5 -> 1 2 5 10 4 5 ,
  0 1 2 7 -> 1 2 5 10 4 7 ,
  0 1 2 0 -> 1 2 0 7 11 12 13 ,
  0 1 2 5 -> 1 2 0 7 11 12 12 ,
  0 1 2 7 -> 1 2 0 7 11 12 14 ,
  0 1 2 0 -> 1 2 5 12 12 13 0 ,
  0 1 2 1 -> 1 2 5 12 12 13 1 ,
  0 1 2 9 -> 1 2 5 12 12 13 9 ,
  0 1 2 5 -> 1 2 5 12 12 13 5 ,
  0 1 2 7 -> 1 2 5 12 12 13 7 ,
  0 0 1 2 0 -> 1 2 0 3 4 0 ,
  0 0 1 2 1 -> 1 2 0 3 4 1 ,
  0 0 1 2 9 -> 1 2 0 3 4 9 ,
  0 0 1 2 5 -> 1 2 0 3 4 5 ,
  0 0 1 2 7 -> 1 2 0 3 4 7 ,
  0 1 2 9 15 -> 1 2 9 16 15 3 4 ,
  0 1 2 9 16 -> 1 2 9 16 15 3 17 ,
  0 1 2 9 16 -> 1 2 7 18 19 4 9 ,
  0 1 20 4 1 -> 1 21 2 3 4 1 ,
  0 1 20 4 1 -> 1 21 20 4 5 13 1 ,
  15 1 22 15 0 -> 23 2 9 15 3 4 ,
  15 1 22 15 3 -> 23 2 9 15 3 24 ,
  15 1 22 15 5 -> 23 2 9 15 3 6 ,
  15 1 22 15 7 -> 23 2 9 15 3 8 ,
  0 1 25 26 0 -> 1 25 18 15 3 4 0 ,
  0 1 25 26 1 -> 1 25 18 15 3 4 1 ,
  7 26 1 2 0 -> 1 27 13 0 7 28 2 ,
  7 26 1 2 3 -> 1 27 13 0 7 28 20 ,
  0 1 27 14 26 0 -> 1 25 26 0 5 10 4 ,
  0 1 27 14 26 3 -> 1 25 26 0 5 10 24 ,
  0 1 27 14 26 5 -> 1 25 26 0 5 10 6 ,
  0 1 27 14 26 7 -> 1 25 26 0 5 10 8 ,
  17 15 9 23 2 0 -> 4 1 22 19 17 15 0 ,
  17 15 9 23 2 1 -> 4 1 22 19 17 15 1 ,
  17 15 9 23 2 3 -> 4 1 22 19 17 15 3 ,
  17 15 9 23 2 9 -> 4 1 22 19 17 15 9 ,
  17 15 9 23 2 5 -> 4 1 22 19 17 15 5 ,
  17 15 9 23 2 7 -> 4 1 22 19 17 15 7 ,
  17 15 9 23 2 29 -> 4 1 22 19 17 15 29 ,
  16 15 9 23 2 0 -> 15 1 22 19 17 15 0 ,
  16 15 9 23 2 1 -> 15 1 22 19 17 15 1 ,
  16 15 9 23 2 3 -> 15 1 22 19 17 15 3 ,
  16 15 9 23 2 9 -> 15 1 22 19 17 15 9 ,
  16 15 9 23 2 5 -> 15 1 22 19 17 15 5 ,
  16 15 9 23 2 7 -> 15 1 22 19 17 15 7 ,
  16 15 9 23 2 29 -> 15 1 22 19 17 15 29 ,
  18 15 9 23 2 0 -> 26 1 22 19 17 15 0 ,
  18 15 9 23 2 1 -> 26 1 22 19 17 15 1 ,
  18 15 9 23 2 3 -> 26 1 22 19 17 15 3 ,
  18 15 9 23 2 9 -> 26 1 22 19 17 15 9 ,
  18 15 9 23 2 5 -> 26 1 22 19 17 15 5 ,
  18 15 9 23 2 7 -> 26 1 22 19 17 15 7 ,
  18 15 9 23 2 29 -> 26 1 22 19 17 15 29 }


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

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, 11->11, 12->12, 13->13, 14->14, 20->15, 21->16 }, 
it remains to prove termination of the 22-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 5 -> 1 2 0 0 3 6 ,
  0 1 2 7 -> 1 2 0 0 3 8 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 9 -> 1 2 0 3 4 9 ,
  0 1 2 5 -> 1 2 0 3 4 5 ,
  0 1 2 7 -> 1 2 0 3 4 7 ,
  0 1 2 0 -> 1 2 5 10 4 0 ,
  0 1 2 1 -> 1 2 5 10 4 1 ,
  0 1 2 9 -> 1 2 5 10 4 9 ,
  0 1 2 5 -> 1 2 5 10 4 5 ,
  0 1 2 7 -> 1 2 5 10 4 7 ,
  0 1 2 0 -> 1 2 0 7 11 12 13 ,
  0 1 2 5 -> 1 2 0 7 11 12 12 ,
  0 1 2 7 -> 1 2 0 7 11 12 14 ,
  0 1 2 0 -> 1 2 5 12 12 13 0 ,
  0 1 2 1 -> 1 2 5 12 12 13 1 ,
  0 1 2 9 -> 1 2 5 12 12 13 9 ,
  0 1 2 5 -> 1 2 5 12 12 13 5 ,
  0 1 2 7 -> 1 2 5 12 12 13 7 ,
  0 1 15 4 1 -> 1 16 15 4 5 13 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

0 is interpreted by
 /         \
| 1 0 1 0 0 |
| 0 1 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 1 0 0 0 |
| 0 0 0 1 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
2 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 1 |
| 0 0 0 0 0 |
 \         /
3 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 1 0 0 0 |
 \         /
8 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
11 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
12 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
13 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
14 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
15 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
16 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 9->7, 10->8, 7->9, 11->10, 12->11, 13->12, 15->13, 16->14 }, 
it remains to prove termination of the 17-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 5 -> 1 2 0 0 3 6 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 7 -> 1 2 0 3 4 7 ,
  0 1 2 5 -> 1 2 0 3 4 5 ,
  0 1 2 0 -> 1 2 5 8 4 0 ,
  0 1 2 1 -> 1 2 5 8 4 1 ,
  0 1 2 7 -> 1 2 5 8 4 7 ,
  0 1 2 5 -> 1 2 5 8 4 5 ,
  0 1 2 0 -> 1 2 0 9 10 11 12 ,
  0 1 2 5 -> 1 2 0 9 10 11 11 ,
  0 1 2 0 -> 1 2 5 11 11 12 0 ,
  0 1 2 1 -> 1 2 5 11 11 12 1 ,
  0 1 2 7 -> 1 2 5 11 11 12 7 ,
  0 1 2 5 -> 1 2 5 11 11 12 5 ,
  0 1 13 4 1 -> 1 14 13 4 5 12 1 }


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

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

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 11->9, 12->10, 13->11, 14->12 }, 
it remains to prove termination of the 15-rule system
{ 0 1 2 0 -> 1 2 0 0 3 4 ,
  0 1 2 5 -> 1 2 0 0 3 6 ,
  0 1 2 0 -> 1 2 0 3 4 0 ,
  0 1 2 1 -> 1 2 0 3 4 1 ,
  0 1 2 7 -> 1 2 0 3 4 7 ,
  0 1 2 5 -> 1 2 0 3 4 5 ,
  0 1 2 0 -> 1 2 5 8 4 0 ,
  0 1 2 1 -> 1 2 5 8 4 1 ,
  0 1 2 7 -> 1 2 5 8 4 7 ,
  0 1 2 5 -> 1 2 5 8 4 5 ,
  0 1 2 0 -> 1 2 5 9 9 10 0 ,
  0 1 2 1 -> 1 2 5 9 9 10 1 ,
  0 1 2 7 -> 1 2 5 9 9 10 7 ,
  0 1 2 5 -> 1 2 5 9 9 10 5 ,
  0 1 11 4 1 -> 1 12 11 4 5 10 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

0 is interpreted by
 /         \
| 1 0 1 0 0 |
| 0 1 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 1 0 0 0 |
| 0 0 0 1 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
2 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 1 |
| 0 0 0 0 0 |
 \         /
3 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 1 0 0 0 |
 \         /
8 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 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 1 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 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
11 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
12 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (2,false)->2, (0,false)->3, (3,false)->4, (4,false)->5, (5,false)->6, (6,false)->7, (7,false)->8, (8,false)->9, (9,false)->10, (10,false)->11, (11,false)->12 },
it remains to prove termination of the 20-rule system
{ 0 1 2 3 -> 0 3 4 5 ,
  0 1 2 3 -> 0 4 5 ,
  0 1 2 6 -> 0 3 4 7 ,
  0 1 2 6 -> 0 4 7 ,
  0 1 2 3 -> 0 4 5 3 ,
  0 1 2 3 -> 0 ,
  0 1 2 1 -> 0 4 5 1 ,
  0 1 2 6 -> 0 4 5 6 ,
  3 1 2 3 ->= 1 2 3 3 4 5 ,
  3 1 2 6 ->= 1 2 3 3 4 7 ,
  3 1 2 3 ->= 1 2 3 4 5 3 ,
  3 1 2 1 ->= 1 2 3 4 5 1 ,
  3 1 2 6 ->= 1 2 3 4 5 6 ,
  3 1 2 3 ->= 1 2 6 8 5 3 ,
  3 1 2 1 ->= 1 2 6 8 5 1 ,
  3 1 2 6 ->= 1 2 6 8 5 6 ,
  3 1 2 3 ->= 1 2 6 9 9 10 3 ,
  3 1 2 1 ->= 1 2 6 9 9 10 1 ,
  3 1 2 6 ->= 1 2 6 9 9 10 6 ,
  3 1 11 5 1 ->= 1 12 11 5 6 10 1 }


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

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

The system is trivially terminating.