YES After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 19-rule system { 0 0 0 1 0 2 0 2 1 2 0 2 2 -> 0 0 1 0 1 1 0 2 1 0 0 0 1 0 1 1 0 , 0 0 0 1 1 2 1 2 1 1 0 0 0 -> 1 0 0 2 2 2 2 1 1 2 0 2 0 0 2 1 0 , 0 1 0 1 0 0 1 0 0 2 1 2 0 -> 0 1 0 2 0 0 2 1 0 0 0 0 0 1 0 0 0 , 0 1 2 0 2 0 1 1 1 1 0 0 2 -> 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 , 0 1 2 1 1 0 0 2 2 1 0 2 2 -> 1 0 0 2 1 0 0 2 0 0 0 2 0 2 2 2 2 , 0 1 2 2 0 0 2 0 0 0 2 0 2 -> 2 1 0 0 0 2 1 1 0 2 0 1 0 2 1 0 2 , 0 2 0 1 0 1 1 0 1 2 0 0 1 -> 0 1 1 0 0 0 2 1 1 1 0 2 0 0 2 0 1 , 1 0 0 1 0 2 2 0 0 1 2 0 0 -> 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 2 0 , 1 0 1 1 1 2 2 2 2 1 0 0 0 -> 2 1 0 0 1 0 1 0 2 2 1 1 0 0 2 2 2 , 1 1 0 0 1 0 0 0 0 1 1 1 2 -> 1 1 0 2 1 0 0 2 1 0 1 0 0 2 0 1 2 , 1 1 2 0 1 0 2 1 2 0 1 0 2 -> 1 1 2 1 0 1 0 2 1 1 1 0 1 0 2 0 2 , 1 1 2 2 1 1 2 1 0 0 1 0 2 -> 0 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 2 , 2 0 0 0 1 1 2 1 0 2 2 0 0 -> 1 1 0 2 0 1 0 2 2 1 1 1 0 2 2 0 0 , 2 0 0 1 1 2 2 1 0 2 2 2 2 -> 1 0 2 2 1 0 1 2 1 0 1 0 0 2 0 2 0 , 2 0 0 2 1 2 1 1 0 1 0 0 2 -> 2 1 1 1 1 0 2 0 1 0 1 0 2 1 0 0 2 , 2 1 1 2 2 0 2 1 0 0 0 1 0 -> 1 1 2 0 0 2 0 0 1 0 0 2 0 0 0 1 0 , 2 1 2 1 1 2 1 0 0 1 0 1 0 -> 2 2 1 1 1 0 0 0 0 1 0 0 2 2 0 1 0 , 2 1 2 2 0 2 1 0 2 0 2 1 0 -> 1 0 1 2 0 0 2 0 0 2 1 0 2 1 0 0 0 , 2 2 0 1 1 1 1 0 1 0 1 2 0 -> 0 1 1 0 1 1 0 0 2 2 0 1 1 0 1 0 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, (2,0)->4, (2,1)->5, (1,2)->6, (2,2)->7, (1,1)->8, (2,4)->9, (0,4)->10, (3,0)->11, (3,1)->12, (3,2)->13, (1,4)->14 }, it remains to prove termination of the 304-rule system { 0 0 0 1 2 3 4 3 5 6 4 3 7 4 -> 0 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 0 , 0 0 0 1 2 3 4 3 5 6 4 3 7 5 -> 0 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 1 , 0 0 0 1 2 3 4 3 5 6 4 3 7 7 -> 0 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 3 , 0 0 0 1 2 3 4 3 5 6 4 3 7 9 -> 0 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 10 , 2 0 0 1 2 3 4 3 5 6 4 3 7 4 -> 2 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 0 , 2 0 0 1 2 3 4 3 5 6 4 3 7 5 -> 2 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 1 , 2 0 0 1 2 3 4 3 5 6 4 3 7 7 -> 2 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 3 , 2 0 0 1 2 3 4 3 5 6 4 3 7 9 -> 2 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 10 , 4 0 0 1 2 3 4 3 5 6 4 3 7 4 -> 4 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 0 , 4 0 0 1 2 3 4 3 5 6 4 3 7 5 -> 4 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 1 , 4 0 0 1 2 3 4 3 5 6 4 3 7 7 -> 4 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 3 , 4 0 0 1 2 3 4 3 5 6 4 3 7 9 -> 4 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 10 , 11 0 0 1 2 3 4 3 5 6 4 3 7 4 -> 11 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 0 , 11 0 0 1 2 3 4 3 5 6 4 3 7 5 -> 11 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 1 , 11 0 0 1 2 3 4 3 5 6 4 3 7 7 -> 11 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 3 , 11 0 0 1 2 3 4 3 5 6 4 3 7 9 -> 11 0 1 2 1 8 2 3 5 2 0 0 1 2 1 8 2 10 , 0 0 0 1 8 6 5 6 5 8 2 0 0 0 -> 1 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 0 , 0 0 0 1 8 6 5 6 5 8 2 0 0 1 -> 1 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 1 , 0 0 0 1 8 6 5 6 5 8 2 0 0 3 -> 1 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 3 , 0 0 0 1 8 6 5 6 5 8 2 0 0 10 -> 1 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 10 , 2 0 0 1 8 6 5 6 5 8 2 0 0 0 -> 8 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 0 , 2 0 0 1 8 6 5 6 5 8 2 0 0 1 -> 8 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 1 , 2 0 0 1 8 6 5 6 5 8 2 0 0 3 -> 8 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 3 , 2 0 0 1 8 6 5 6 5 8 2 0 0 10 -> 8 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 10 , 4 0 0 1 8 6 5 6 5 8 2 0 0 0 -> 5 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 0 , 4 0 0 1 8 6 5 6 5 8 2 0 0 1 -> 5 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 1 , 4 0 0 1 8 6 5 6 5 8 2 0 0 3 -> 5 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 3 , 4 0 0 1 8 6 5 6 5 8 2 0 0 10 -> 5 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 10 , 11 0 0 1 8 6 5 6 5 8 2 0 0 0 -> 12 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 0 , 11 0 0 1 8 6 5 6 5 8 2 0 0 1 -> 12 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 1 , 11 0 0 1 8 6 5 6 5 8 2 0 0 3 -> 12 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 3 , 11 0 0 1 8 6 5 6 5 8 2 0 0 10 -> 12 2 0 3 7 7 7 5 8 6 4 3 4 0 3 5 2 10 , 0 1 2 1 2 0 1 2 0 3 5 6 4 0 -> 0 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 0 , 0 1 2 1 2 0 1 2 0 3 5 6 4 1 -> 0 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 1 , 0 1 2 1 2 0 1 2 0 3 5 6 4 3 -> 0 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 3 , 0 1 2 1 2 0 1 2 0 3 5 6 4 10 -> 0 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 10 , 2 1 2 1 2 0 1 2 0 3 5 6 4 0 -> 2 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 0 , 2 1 2 1 2 0 1 2 0 3 5 6 4 1 -> 2 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 1 , 2 1 2 1 2 0 1 2 0 3 5 6 4 3 -> 2 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 3 , 2 1 2 1 2 0 1 2 0 3 5 6 4 10 -> 2 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 10 , 4 1 2 1 2 0 1 2 0 3 5 6 4 0 -> 4 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 0 , 4 1 2 1 2 0 1 2 0 3 5 6 4 1 -> 4 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 1 , 4 1 2 1 2 0 1 2 0 3 5 6 4 3 -> 4 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 3 , 4 1 2 1 2 0 1 2 0 3 5 6 4 10 -> 4 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 10 , 11 1 2 1 2 0 1 2 0 3 5 6 4 0 -> 11 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 0 , 11 1 2 1 2 0 1 2 0 3 5 6 4 1 -> 11 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 1 , 11 1 2 1 2 0 1 2 0 3 5 6 4 3 -> 11 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 3 , 11 1 2 1 2 0 1 2 0 3 5 6 4 10 -> 11 1 2 3 4 0 3 5 2 0 0 0 0 1 2 0 0 10 , 0 1 6 4 3 4 1 8 8 8 2 0 3 4 -> 0 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 0 , 0 1 6 4 3 4 1 8 8 8 2 0 3 5 -> 0 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 1 , 0 1 6 4 3 4 1 8 8 8 2 0 3 7 -> 0 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 3 , 0 1 6 4 3 4 1 8 8 8 2 0 3 9 -> 0 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 10 , 2 1 6 4 3 4 1 8 8 8 2 0 3 4 -> 2 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 0 , 2 1 6 4 3 4 1 8 8 8 2 0 3 5 -> 2 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 1 , 2 1 6 4 3 4 1 8 8 8 2 0 3 7 -> 2 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 3 , 2 1 6 4 3 4 1 8 8 8 2 0 3 9 -> 2 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 10 , 4 1 6 4 3 4 1 8 8 8 2 0 3 4 -> 4 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 0 , 4 1 6 4 3 4 1 8 8 8 2 0 3 5 -> 4 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 1 , 4 1 6 4 3 4 1 8 8 8 2 0 3 7 -> 4 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 3 , 4 1 6 4 3 4 1 8 8 8 2 0 3 9 -> 4 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 10 , 11 1 6 4 3 4 1 8 8 8 2 0 3 4 -> 11 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 0 , 11 1 6 4 3 4 1 8 8 8 2 0 3 5 -> 11 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 1 , 11 1 6 4 3 4 1 8 8 8 2 0 3 7 -> 11 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 3 , 11 1 6 4 3 4 1 8 8 8 2 0 3 9 -> 11 0 0 0 0 3 4 3 7 4 3 7 7 4 0 0 0 10 , 0 1 6 5 8 2 0 3 7 5 2 3 7 4 -> 1 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 4 , 0 1 6 5 8 2 0 3 7 5 2 3 7 5 -> 1 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 5 , 0 1 6 5 8 2 0 3 7 5 2 3 7 7 -> 1 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 7 , 0 1 6 5 8 2 0 3 7 5 2 3 7 9 -> 1 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 9 , 2 1 6 5 8 2 0 3 7 5 2 3 7 4 -> 8 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 4 , 2 1 6 5 8 2 0 3 7 5 2 3 7 5 -> 8 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 5 , 2 1 6 5 8 2 0 3 7 5 2 3 7 7 -> 8 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 7 , 2 1 6 5 8 2 0 3 7 5 2 3 7 9 -> 8 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 9 , 4 1 6 5 8 2 0 3 7 5 2 3 7 4 -> 5 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 4 , 4 1 6 5 8 2 0 3 7 5 2 3 7 5 -> 5 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 5 , 4 1 6 5 8 2 0 3 7 5 2 3 7 7 -> 5 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 7 , 4 1 6 5 8 2 0 3 7 5 2 3 7 9 -> 5 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 9 , 11 1 6 5 8 2 0 3 7 5 2 3 7 4 -> 12 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 4 , 11 1 6 5 8 2 0 3 7 5 2 3 7 5 -> 12 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 5 , 11 1 6 5 8 2 0 3 7 5 2 3 7 7 -> 12 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 7 , 11 1 6 5 8 2 0 3 7 5 2 3 7 9 -> 12 2 0 3 5 2 0 3 4 0 0 3 4 3 7 7 7 9 , 0 1 6 7 4 0 3 4 0 0 3 4 3 4 -> 3 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 4 , 0 1 6 7 4 0 3 4 0 0 3 4 3 5 -> 3 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 5 , 0 1 6 7 4 0 3 4 0 0 3 4 3 7 -> 3 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 7 , 0 1 6 7 4 0 3 4 0 0 3 4 3 9 -> 3 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 9 , 2 1 6 7 4 0 3 4 0 0 3 4 3 4 -> 6 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 4 , 2 1 6 7 4 0 3 4 0 0 3 4 3 5 -> 6 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 5 , 2 1 6 7 4 0 3 4 0 0 3 4 3 7 -> 6 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 7 , 2 1 6 7 4 0 3 4 0 0 3 4 3 9 -> 6 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 9 , 4 1 6 7 4 0 3 4 0 0 3 4 3 4 -> 7 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 4 , 4 1 6 7 4 0 3 4 0 0 3 4 3 5 -> 7 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 5 , 4 1 6 7 4 0 3 4 0 0 3 4 3 7 -> 7 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 7 , 4 1 6 7 4 0 3 4 0 0 3 4 3 9 -> 7 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 9 , 11 1 6 7 4 0 3 4 0 0 3 4 3 4 -> 13 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 4 , 11 1 6 7 4 0 3 4 0 0 3 4 3 5 -> 13 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 5 , 11 1 6 7 4 0 3 4 0 0 3 4 3 7 -> 13 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 7 , 11 1 6 7 4 0 3 4 0 0 3 4 3 9 -> 13 5 2 0 0 3 5 8 2 3 4 1 2 3 5 2 3 9 , 0 3 4 1 2 1 8 2 1 6 4 0 1 2 -> 0 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 2 , 0 3 4 1 2 1 8 2 1 6 4 0 1 8 -> 0 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 8 , 0 3 4 1 2 1 8 2 1 6 4 0 1 6 -> 0 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 6 , 0 3 4 1 2 1 8 2 1 6 4 0 1 14 -> 0 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 14 , 2 3 4 1 2 1 8 2 1 6 4 0 1 2 -> 2 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 2 , 2 3 4 1 2 1 8 2 1 6 4 0 1 8 -> 2 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 8 , 2 3 4 1 2 1 8 2 1 6 4 0 1 6 -> 2 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 6 , 2 3 4 1 2 1 8 2 1 6 4 0 1 14 -> 2 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 14 , 4 3 4 1 2 1 8 2 1 6 4 0 1 2 -> 4 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 2 , 4 3 4 1 2 1 8 2 1 6 4 0 1 8 -> 4 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 8 , 4 3 4 1 2 1 8 2 1 6 4 0 1 6 -> 4 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 6 , 4 3 4 1 2 1 8 2 1 6 4 0 1 14 -> 4 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 14 , 11 3 4 1 2 1 8 2 1 6 4 0 1 2 -> 11 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 2 , 11 3 4 1 2 1 8 2 1 6 4 0 1 8 -> 11 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 8 , 11 3 4 1 2 1 8 2 1 6 4 0 1 6 -> 11 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 6 , 11 3 4 1 2 1 8 2 1 6 4 0 1 14 -> 11 1 8 2 0 0 3 5 8 8 2 3 4 0 3 4 1 14 , 1 2 0 1 2 3 7 4 0 1 6 4 0 0 -> 0 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 0 , 1 2 0 1 2 3 7 4 0 1 6 4 0 1 -> 0 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 1 , 1 2 0 1 2 3 7 4 0 1 6 4 0 3 -> 0 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 3 , 1 2 0 1 2 3 7 4 0 1 6 4 0 10 -> 0 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 10 , 8 2 0 1 2 3 7 4 0 1 6 4 0 0 -> 2 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 0 , 8 2 0 1 2 3 7 4 0 1 6 4 0 1 -> 2 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 1 , 8 2 0 1 2 3 7 4 0 1 6 4 0 3 -> 2 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 3 , 8 2 0 1 2 3 7 4 0 1 6 4 0 10 -> 2 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 10 , 5 2 0 1 2 3 7 4 0 1 6 4 0 0 -> 4 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 0 , 5 2 0 1 2 3 7 4 0 1 6 4 0 1 -> 4 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 1 , 5 2 0 1 2 3 7 4 0 1 6 4 0 3 -> 4 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 3 , 5 2 0 1 2 3 7 4 0 1 6 4 0 10 -> 4 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 10 , 12 2 0 1 2 3 7 4 0 1 6 4 0 0 -> 11 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 0 , 12 2 0 1 2 3 7 4 0 1 6 4 0 1 -> 11 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 1 , 12 2 0 1 2 3 7 4 0 1 6 4 0 3 -> 11 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 3 , 12 2 0 1 2 3 7 4 0 1 6 4 0 10 -> 11 0 0 0 0 1 2 1 2 1 8 2 1 2 0 3 4 10 , 1 2 1 8 8 6 7 7 7 5 2 0 0 0 -> 3 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 4 , 1 2 1 8 8 6 7 7 7 5 2 0 0 1 -> 3 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 5 , 1 2 1 8 8 6 7 7 7 5 2 0 0 3 -> 3 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 7 , 1 2 1 8 8 6 7 7 7 5 2 0 0 10 -> 3 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 9 , 8 2 1 8 8 6 7 7 7 5 2 0 0 0 -> 6 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 4 , 8 2 1 8 8 6 7 7 7 5 2 0 0 1 -> 6 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 5 , 8 2 1 8 8 6 7 7 7 5 2 0 0 3 -> 6 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 7 , 8 2 1 8 8 6 7 7 7 5 2 0 0 10 -> 6 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 9 , 5 2 1 8 8 6 7 7 7 5 2 0 0 0 -> 7 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 4 , 5 2 1 8 8 6 7 7 7 5 2 0 0 1 -> 7 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 5 , 5 2 1 8 8 6 7 7 7 5 2 0 0 3 -> 7 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 7 , 5 2 1 8 8 6 7 7 7 5 2 0 0 10 -> 7 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 9 , 12 2 1 8 8 6 7 7 7 5 2 0 0 0 -> 13 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 4 , 12 2 1 8 8 6 7 7 7 5 2 0 0 1 -> 13 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 5 , 12 2 1 8 8 6 7 7 7 5 2 0 0 3 -> 13 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 7 , 12 2 1 8 8 6 7 7 7 5 2 0 0 10 -> 13 5 2 0 1 2 1 2 3 7 5 8 2 0 3 7 7 9 , 1 8 2 0 1 2 0 0 0 1 8 8 6 4 -> 1 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 4 , 1 8 2 0 1 2 0 0 0 1 8 8 6 5 -> 1 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 5 , 1 8 2 0 1 2 0 0 0 1 8 8 6 7 -> 1 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 7 , 1 8 2 0 1 2 0 0 0 1 8 8 6 9 -> 1 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 9 , 8 8 2 0 1 2 0 0 0 1 8 8 6 4 -> 8 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 4 , 8 8 2 0 1 2 0 0 0 1 8 8 6 5 -> 8 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 5 , 8 8 2 0 1 2 0 0 0 1 8 8 6 7 -> 8 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 7 , 8 8 2 0 1 2 0 0 0 1 8 8 6 9 -> 8 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 9 , 5 8 2 0 1 2 0 0 0 1 8 8 6 4 -> 5 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 4 , 5 8 2 0 1 2 0 0 0 1 8 8 6 5 -> 5 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 5 , 5 8 2 0 1 2 0 0 0 1 8 8 6 7 -> 5 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 7 , 5 8 2 0 1 2 0 0 0 1 8 8 6 9 -> 5 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 9 , 12 8 2 0 1 2 0 0 0 1 8 8 6 4 -> 12 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 4 , 12 8 2 0 1 2 0 0 0 1 8 8 6 5 -> 12 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 5 , 12 8 2 0 1 2 0 0 0 1 8 8 6 7 -> 12 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 7 , 12 8 2 0 1 2 0 0 0 1 8 8 6 9 -> 12 8 2 3 5 2 0 3 5 2 1 2 0 3 4 1 6 9 , 1 8 6 4 1 2 3 5 6 4 1 2 3 4 -> 1 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 4 , 1 8 6 4 1 2 3 5 6 4 1 2 3 5 -> 1 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 5 , 1 8 6 4 1 2 3 5 6 4 1 2 3 7 -> 1 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 7 , 1 8 6 4 1 2 3 5 6 4 1 2 3 9 -> 1 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 9 , 8 8 6 4 1 2 3 5 6 4 1 2 3 4 -> 8 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 4 , 8 8 6 4 1 2 3 5 6 4 1 2 3 5 -> 8 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 5 , 8 8 6 4 1 2 3 5 6 4 1 2 3 7 -> 8 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 7 , 8 8 6 4 1 2 3 5 6 4 1 2 3 9 -> 8 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 9 , 5 8 6 4 1 2 3 5 6 4 1 2 3 4 -> 5 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 4 , 5 8 6 4 1 2 3 5 6 4 1 2 3 5 -> 5 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 5 , 5 8 6 4 1 2 3 5 6 4 1 2 3 7 -> 5 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 7 , 5 8 6 4 1 2 3 5 6 4 1 2 3 9 -> 5 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 9 , 12 8 6 4 1 2 3 5 6 4 1 2 3 4 -> 12 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 4 , 12 8 6 4 1 2 3 5 6 4 1 2 3 5 -> 12 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 5 , 12 8 6 4 1 2 3 5 6 4 1 2 3 7 -> 12 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 7 , 12 8 6 4 1 2 3 5 6 4 1 2 3 9 -> 12 8 6 5 2 1 2 3 5 8 8 2 1 2 3 4 3 9 , 1 8 6 7 5 8 6 5 2 0 1 2 3 4 -> 0 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 4 , 1 8 6 7 5 8 6 5 2 0 1 2 3 5 -> 0 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 5 , 1 8 6 7 5 8 6 5 2 0 1 2 3 7 -> 0 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 7 , 1 8 6 7 5 8 6 5 2 0 1 2 3 9 -> 0 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 9 , 8 8 6 7 5 8 6 5 2 0 1 2 3 4 -> 2 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 4 , 8 8 6 7 5 8 6 5 2 0 1 2 3 5 -> 2 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 5 , 8 8 6 7 5 8 6 5 2 0 1 2 3 7 -> 2 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 7 , 8 8 6 7 5 8 6 5 2 0 1 2 3 9 -> 2 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 9 , 5 8 6 7 5 8 6 5 2 0 1 2 3 4 -> 4 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 4 , 5 8 6 7 5 8 6 5 2 0 1 2 3 5 -> 4 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 5 , 5 8 6 7 5 8 6 5 2 0 1 2 3 7 -> 4 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 7 , 5 8 6 7 5 8 6 5 2 0 1 2 3 9 -> 4 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 9 , 12 8 6 7 5 8 6 5 2 0 1 2 3 4 -> 11 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 4 , 12 8 6 7 5 8 6 5 2 0 1 2 3 5 -> 11 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 5 , 12 8 6 7 5 8 6 5 2 0 1 2 3 7 -> 11 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 7 , 12 8 6 7 5 8 6 5 2 0 1 2 3 9 -> 11 0 3 4 3 4 0 0 3 4 0 3 4 0 3 7 7 9 , 3 4 0 0 1 8 6 5 2 3 7 4 0 0 -> 1 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 0 , 3 4 0 0 1 8 6 5 2 3 7 4 0 1 -> 1 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 1 , 3 4 0 0 1 8 6 5 2 3 7 4 0 3 -> 1 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 3 , 3 4 0 0 1 8 6 5 2 3 7 4 0 10 -> 1 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 10 , 6 4 0 0 1 8 6 5 2 3 7 4 0 0 -> 8 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 0 , 6 4 0 0 1 8 6 5 2 3 7 4 0 1 -> 8 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 1 , 6 4 0 0 1 8 6 5 2 3 7 4 0 3 -> 8 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 3 , 6 4 0 0 1 8 6 5 2 3 7 4 0 10 -> 8 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 10 , 7 4 0 0 1 8 6 5 2 3 7 4 0 0 -> 5 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 0 , 7 4 0 0 1 8 6 5 2 3 7 4 0 1 -> 5 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 1 , 7 4 0 0 1 8 6 5 2 3 7 4 0 3 -> 5 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 3 , 7 4 0 0 1 8 6 5 2 3 7 4 0 10 -> 5 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 10 , 13 4 0 0 1 8 6 5 2 3 7 4 0 0 -> 12 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 0 , 13 4 0 0 1 8 6 5 2 3 7 4 0 1 -> 12 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 1 , 13 4 0 0 1 8 6 5 2 3 7 4 0 3 -> 12 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 3 , 13 4 0 0 1 8 6 5 2 3 7 4 0 10 -> 12 8 2 3 4 1 2 3 7 5 8 8 2 3 7 4 0 10 , 3 4 0 1 8 6 7 5 2 3 7 7 7 4 -> 1 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 0 , 3 4 0 1 8 6 7 5 2 3 7 7 7 5 -> 1 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 1 , 3 4 0 1 8 6 7 5 2 3 7 7 7 7 -> 1 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 3 , 3 4 0 1 8 6 7 5 2 3 7 7 7 9 -> 1 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 10 , 6 4 0 1 8 6 7 5 2 3 7 7 7 4 -> 8 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 0 , 6 4 0 1 8 6 7 5 2 3 7 7 7 5 -> 8 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 1 , 6 4 0 1 8 6 7 5 2 3 7 7 7 7 -> 8 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 3 , 6 4 0 1 8 6 7 5 2 3 7 7 7 9 -> 8 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 10 , 7 4 0 1 8 6 7 5 2 3 7 7 7 4 -> 5 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 0 , 7 4 0 1 8 6 7 5 2 3 7 7 7 5 -> 5 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 1 , 7 4 0 1 8 6 7 5 2 3 7 7 7 7 -> 5 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 3 , 7 4 0 1 8 6 7 5 2 3 7 7 7 9 -> 5 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 10 , 13 4 0 1 8 6 7 5 2 3 7 7 7 4 -> 12 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 0 , 13 4 0 1 8 6 7 5 2 3 7 7 7 5 -> 12 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 1 , 13 4 0 1 8 6 7 5 2 3 7 7 7 7 -> 12 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 3 , 13 4 0 1 8 6 7 5 2 3 7 7 7 9 -> 12 2 3 7 5 2 1 6 5 2 1 2 0 3 4 3 4 10 , 3 4 0 3 5 6 5 8 2 1 2 0 3 4 -> 3 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 4 , 3 4 0 3 5 6 5 8 2 1 2 0 3 5 -> 3 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 5 , 3 4 0 3 5 6 5 8 2 1 2 0 3 7 -> 3 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 7 , 3 4 0 3 5 6 5 8 2 1 2 0 3 9 -> 3 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 9 , 6 4 0 3 5 6 5 8 2 1 2 0 3 4 -> 6 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 4 , 6 4 0 3 5 6 5 8 2 1 2 0 3 5 -> 6 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 5 , 6 4 0 3 5 6 5 8 2 1 2 0 3 7 -> 6 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 7 , 6 4 0 3 5 6 5 8 2 1 2 0 3 9 -> 6 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 9 , 7 4 0 3 5 6 5 8 2 1 2 0 3 4 -> 7 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 4 , 7 4 0 3 5 6 5 8 2 1 2 0 3 5 -> 7 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 5 , 7 4 0 3 5 6 5 8 2 1 2 0 3 7 -> 7 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 7 , 7 4 0 3 5 6 5 8 2 1 2 0 3 9 -> 7 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 9 , 13 4 0 3 5 6 5 8 2 1 2 0 3 4 -> 13 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 4 , 13 4 0 3 5 6 5 8 2 1 2 0 3 5 -> 13 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 5 , 13 4 0 3 5 6 5 8 2 1 2 0 3 7 -> 13 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 7 , 13 4 0 3 5 6 5 8 2 1 2 0 3 9 -> 13 5 8 8 8 2 3 4 1 2 1 2 3 5 2 0 3 9 , 3 5 8 6 7 4 3 5 2 0 0 1 2 0 -> 1 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 0 , 3 5 8 6 7 4 3 5 2 0 0 1 2 1 -> 1 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 1 , 3 5 8 6 7 4 3 5 2 0 0 1 2 3 -> 1 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 3 , 3 5 8 6 7 4 3 5 2 0 0 1 2 10 -> 1 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 10 , 6 5 8 6 7 4 3 5 2 0 0 1 2 0 -> 8 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 0 , 6 5 8 6 7 4 3 5 2 0 0 1 2 1 -> 8 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 1 , 6 5 8 6 7 4 3 5 2 0 0 1 2 3 -> 8 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 3 , 6 5 8 6 7 4 3 5 2 0 0 1 2 10 -> 8 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 10 , 7 5 8 6 7 4 3 5 2 0 0 1 2 0 -> 5 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 0 , 7 5 8 6 7 4 3 5 2 0 0 1 2 1 -> 5 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 1 , 7 5 8 6 7 4 3 5 2 0 0 1 2 3 -> 5 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 3 , 7 5 8 6 7 4 3 5 2 0 0 1 2 10 -> 5 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 10 , 13 5 8 6 7 4 3 5 2 0 0 1 2 0 -> 12 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 0 , 13 5 8 6 7 4 3 5 2 0 0 1 2 1 -> 12 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 1 , 13 5 8 6 7 4 3 5 2 0 0 1 2 3 -> 12 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 3 , 13 5 8 6 7 4 3 5 2 0 0 1 2 10 -> 12 8 6 4 0 3 4 0 1 2 0 3 4 0 0 1 2 10 , 3 5 6 5 8 6 5 2 0 1 2 1 2 0 -> 3 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 0 , 3 5 6 5 8 6 5 2 0 1 2 1 2 1 -> 3 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 1 , 3 5 6 5 8 6 5 2 0 1 2 1 2 3 -> 3 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 3 , 3 5 6 5 8 6 5 2 0 1 2 1 2 10 -> 3 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 10 , 6 5 6 5 8 6 5 2 0 1 2 1 2 0 -> 6 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 0 , 6 5 6 5 8 6 5 2 0 1 2 1 2 1 -> 6 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 1 , 6 5 6 5 8 6 5 2 0 1 2 1 2 3 -> 6 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 3 , 6 5 6 5 8 6 5 2 0 1 2 1 2 10 -> 6 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 10 , 7 5 6 5 8 6 5 2 0 1 2 1 2 0 -> 7 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 0 , 7 5 6 5 8 6 5 2 0 1 2 1 2 1 -> 7 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 1 , 7 5 6 5 8 6 5 2 0 1 2 1 2 3 -> 7 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 3 , 7 5 6 5 8 6 5 2 0 1 2 1 2 10 -> 7 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 10 , 13 5 6 5 8 6 5 2 0 1 2 1 2 0 -> 13 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 0 , 13 5 6 5 8 6 5 2 0 1 2 1 2 1 -> 13 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 1 , 13 5 6 5 8 6 5 2 0 1 2 1 2 3 -> 13 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 3 , 13 5 6 5 8 6 5 2 0 1 2 1 2 10 -> 13 7 5 8 8 2 0 0 0 1 2 0 3 7 4 1 2 10 , 3 5 6 7 4 3 5 2 3 4 3 5 2 0 -> 1 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 0 , 3 5 6 7 4 3 5 2 3 4 3 5 2 1 -> 1 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 1 , 3 5 6 7 4 3 5 2 3 4 3 5 2 3 -> 1 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 3 , 3 5 6 7 4 3 5 2 3 4 3 5 2 10 -> 1 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 10 , 6 5 6 7 4 3 5 2 3 4 3 5 2 0 -> 8 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 0 , 6 5 6 7 4 3 5 2 3 4 3 5 2 1 -> 8 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 1 , 6 5 6 7 4 3 5 2 3 4 3 5 2 3 -> 8 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 3 , 6 5 6 7 4 3 5 2 3 4 3 5 2 10 -> 8 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 10 , 7 5 6 7 4 3 5 2 3 4 3 5 2 0 -> 5 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 0 , 7 5 6 7 4 3 5 2 3 4 3 5 2 1 -> 5 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 1 , 7 5 6 7 4 3 5 2 3 4 3 5 2 3 -> 5 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 3 , 7 5 6 7 4 3 5 2 3 4 3 5 2 10 -> 5 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 10 , 13 5 6 7 4 3 5 2 3 4 3 5 2 0 -> 12 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 0 , 13 5 6 7 4 3 5 2 3 4 3 5 2 1 -> 12 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 1 , 13 5 6 7 4 3 5 2 3 4 3 5 2 3 -> 12 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 3 , 13 5 6 7 4 3 5 2 3 4 3 5 2 10 -> 12 2 1 6 4 0 3 4 0 3 5 2 3 5 2 0 0 10 , 3 7 4 1 8 8 8 2 1 2 1 6 4 0 -> 0 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 0 , 3 7 4 1 8 8 8 2 1 2 1 6 4 1 -> 0 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 1 , 3 7 4 1 8 8 8 2 1 2 1 6 4 3 -> 0 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 3 , 3 7 4 1 8 8 8 2 1 2 1 6 4 10 -> 0 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 10 , 6 7 4 1 8 8 8 2 1 2 1 6 4 0 -> 2 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 0 , 6 7 4 1 8 8 8 2 1 2 1 6 4 1 -> 2 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 1 , 6 7 4 1 8 8 8 2 1 2 1 6 4 3 -> 2 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 3 , 6 7 4 1 8 8 8 2 1 2 1 6 4 10 -> 2 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 10 , 7 7 4 1 8 8 8 2 1 2 1 6 4 0 -> 4 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 0 , 7 7 4 1 8 8 8 2 1 2 1 6 4 1 -> 4 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 1 , 7 7 4 1 8 8 8 2 1 2 1 6 4 3 -> 4 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 3 , 7 7 4 1 8 8 8 2 1 2 1 6 4 10 -> 4 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 10 , 13 7 4 1 8 8 8 2 1 2 1 6 4 0 -> 11 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 0 , 13 7 4 1 8 8 8 2 1 2 1 6 4 1 -> 11 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 1 , 13 7 4 1 8 8 8 2 1 2 1 6 4 3 -> 11 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 3 , 13 7 4 1 8 8 8 2 1 2 1 6 4 10 -> 11 1 8 2 1 8 2 0 3 7 4 1 8 2 1 2 0 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 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 | \ / After renaming modulo { 2->0, 1->1, 6->2, 7->3, 4->4, 0->5, 3->6, 5->7, 8->8, 9->9, 10->10, 12->11, 13->12 }, it remains to prove termination of the 60-rule system { 0 1 2 3 4 5 6 4 5 5 6 4 6 4 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 4 , 0 1 2 3 4 5 6 4 5 5 6 4 6 7 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 7 , 0 1 2 3 4 5 6 4 5 5 6 4 6 3 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 3 , 0 1 2 3 4 5 6 4 5 5 6 4 6 9 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 9 , 8 0 1 8 8 2 3 3 3 7 0 5 5 5 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 4 , 8 0 1 8 8 2 3 3 3 7 0 5 5 1 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 7 , 8 0 1 8 8 2 3 3 3 7 0 5 5 6 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 3 , 8 0 1 8 8 2 3 3 3 7 0 5 5 10 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 9 , 1 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 1 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 1 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 1 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 8 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 8 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 8 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 8 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 7 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 7 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 7 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 7 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 11 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 11 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 11 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 11 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 6 4 5 1 8 2 3 7 0 6 3 3 3 4 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 5 , 6 4 5 1 8 2 3 7 0 6 3 3 3 7 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 1 , 6 4 5 1 8 2 3 7 0 6 3 3 3 3 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 6 , 6 4 5 1 8 2 3 7 0 6 3 3 3 9 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 10 , 3 4 5 1 8 2 3 7 0 6 3 3 3 4 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 5 , 3 4 5 1 8 2 3 7 0 6 3 3 3 7 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 1 , 3 4 5 1 8 2 3 7 0 6 3 3 3 3 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 6 , 3 4 5 1 8 2 3 7 0 6 3 3 3 9 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 10 , 12 4 5 1 8 2 3 7 0 6 3 3 3 4 -> 11 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 5 , 12 4 5 1 8 2 3 7 0 6 3 3 3 7 -> 11 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 1 , 12 4 5 1 8 2 3 7 0 6 3 3 3 3 -> 11 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 6 , 12 4 5 1 8 2 3 7 0 6 3 3 3 9 -> 11 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 10 , 6 7 8 2 3 4 6 7 0 5 5 1 0 5 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 5 , 6 7 8 2 3 4 6 7 0 5 5 1 0 1 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 1 , 6 7 8 2 3 4 6 7 0 5 5 1 0 6 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 6 , 6 7 8 2 3 4 6 7 0 5 5 1 0 10 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 10 , 3 7 8 2 3 4 6 7 0 5 5 1 0 5 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 5 , 3 7 8 2 3 4 6 7 0 5 5 1 0 1 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 1 , 3 7 8 2 3 4 6 7 0 5 5 1 0 6 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 6 , 3 7 8 2 3 4 6 7 0 5 5 1 0 10 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 10 , 12 7 8 2 3 4 6 7 0 5 5 1 0 5 -> 11 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 5 , 12 7 8 2 3 4 6 7 0 5 5 1 0 1 -> 11 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 1 , 12 7 8 2 3 4 6 7 0 5 5 1 0 6 -> 11 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 6 , 12 7 8 2 3 4 6 7 0 5 5 1 0 10 -> 11 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 10 , 6 7 2 3 4 6 7 0 6 4 6 7 0 5 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 5 , 6 7 2 3 4 6 7 0 6 4 6 7 0 1 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 1 , 6 7 2 3 4 6 7 0 6 4 6 7 0 6 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 6 , 6 7 2 3 4 6 7 0 6 4 6 7 0 10 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 10 , 3 7 2 3 4 6 7 0 6 4 6 7 0 5 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 5 , 3 7 2 3 4 6 7 0 6 4 6 7 0 1 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 1 , 3 7 2 3 4 6 7 0 6 4 6 7 0 6 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 6 , 3 7 2 3 4 6 7 0 6 4 6 7 0 10 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 10 , 12 7 2 3 4 6 7 0 6 4 6 7 0 5 -> 11 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 5 , 12 7 2 3 4 6 7 0 6 4 6 7 0 1 -> 11 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 1 , 12 7 2 3 4 6 7 0 6 4 6 7 0 6 -> 11 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 6 , 12 7 2 3 4 6 7 0 6 4 6 7 0 10 -> 11 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 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 | \ / 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 }, it remains to prove termination of the 48-rule system { 0 1 2 3 4 5 6 4 5 5 6 4 6 4 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 4 , 0 1 2 3 4 5 6 4 5 5 6 4 6 7 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 7 , 0 1 2 3 4 5 6 4 5 5 6 4 6 3 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 3 , 0 1 2 3 4 5 6 4 5 5 6 4 6 9 -> 2 7 0 5 5 6 7 8 0 6 4 1 0 6 7 0 6 9 , 8 0 1 8 8 2 3 3 3 7 0 5 5 5 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 4 , 8 0 1 8 8 2 3 3 3 7 0 5 5 1 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 7 , 8 0 1 8 8 2 3 3 3 7 0 5 5 6 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 3 , 8 0 1 8 8 2 3 3 3 7 0 5 5 10 -> 2 7 0 5 1 0 1 0 6 3 7 8 0 5 6 3 3 9 , 1 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 1 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 1 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 1 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 1 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 8 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 8 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 8 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 8 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 8 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 7 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 7 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 7 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 7 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 7 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 11 8 0 5 1 0 5 5 5 1 8 8 2 4 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 4 , 11 8 0 5 1 0 5 5 5 1 8 8 2 7 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 7 , 11 8 0 5 1 0 5 5 5 1 8 8 2 3 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 3 , 11 8 0 5 1 0 5 5 5 1 8 8 2 9 -> 11 8 0 6 7 0 5 6 7 0 1 0 5 6 4 1 2 9 , 6 4 5 1 8 2 3 7 0 6 3 3 3 4 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 5 , 6 4 5 1 8 2 3 7 0 6 3 3 3 7 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 1 , 6 4 5 1 8 2 3 7 0 6 3 3 3 3 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 6 , 6 4 5 1 8 2 3 7 0 6 3 3 3 9 -> 1 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 10 , 3 4 5 1 8 2 3 7 0 6 3 3 3 4 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 5 , 3 4 5 1 8 2 3 7 0 6 3 3 3 7 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 1 , 3 4 5 1 8 2 3 7 0 6 3 3 3 3 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 6 , 3 4 5 1 8 2 3 7 0 6 3 3 3 9 -> 7 0 6 3 7 0 1 2 7 0 1 0 5 6 4 6 4 10 , 6 7 8 2 3 4 6 7 0 5 5 1 0 5 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 5 , 6 7 8 2 3 4 6 7 0 5 5 1 0 1 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 1 , 6 7 8 2 3 4 6 7 0 5 5 1 0 6 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 6 , 6 7 8 2 3 4 6 7 0 5 5 1 0 10 -> 1 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 10 , 3 7 8 2 3 4 6 7 0 5 5 1 0 5 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 5 , 3 7 8 2 3 4 6 7 0 5 5 1 0 1 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 1 , 3 7 8 2 3 4 6 7 0 5 5 1 0 6 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 6 , 3 7 8 2 3 4 6 7 0 5 5 1 0 10 -> 7 8 2 4 5 6 4 5 1 0 5 6 4 5 5 1 0 10 , 6 7 2 3 4 6 7 0 6 4 6 7 0 5 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 5 , 6 7 2 3 4 6 7 0 6 4 6 7 0 1 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 1 , 6 7 2 3 4 6 7 0 6 4 6 7 0 6 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 6 , 6 7 2 3 4 6 7 0 6 4 6 7 0 10 -> 1 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 10 , 3 7 2 3 4 6 7 0 6 4 6 7 0 5 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 5 , 3 7 2 3 4 6 7 0 6 4 6 7 0 1 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 1 , 3 7 2 3 4 6 7 0 6 4 6 7 0 6 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 6 , 3 7 2 3 4 6 7 0 6 4 6 7 0 10 -> 7 0 1 2 4 5 6 4 5 6 7 0 6 7 0 5 5 10 } 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 5 | | 0 1 | \ / 4 is interpreted by / \ | 1 2 | | 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 4 | | 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 | \ / After renaming modulo { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.