YES After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 96-rule system { 0 0 1 2 3 3 1 -> 0 0 2 1 3 3 1 , 2 1 1 0 3 1 0 -> 2 0 1 1 3 1 0 , 1 3 2 0 0 4 1 4 0 -> 1 3 2 0 1 0 4 4 0 , 1 5 0 2 3 3 2 2 1 -> 1 0 3 5 2 2 3 2 1 , 2 5 2 1 5 4 2 4 0 -> 2 5 2 5 1 4 2 4 0 , 5 2 0 4 2 5 4 5 2 -> 5 2 0 4 5 2 4 5 2 , 0 3 2 4 3 2 2 0 4 2 -> 5 1 4 2 3 4 5 1 0 5 , 3 0 4 3 0 1 4 4 4 2 -> 4 5 0 0 2 1 0 5 5 2 , 0 0 4 4 0 0 3 4 5 4 2 -> 4 1 5 3 1 0 5 3 1 1 , 0 1 4 4 3 1 1 1 2 2 4 -> 3 3 1 3 4 3 1 1 0 0 , 0 2 3 4 1 5 5 0 0 1 1 -> 1 1 4 3 4 3 5 5 4 4 , 0 3 0 4 3 3 3 0 5 3 4 -> 4 3 4 0 2 4 4 5 4 4 , 0 3 1 4 0 0 2 2 4 4 0 -> 5 5 3 3 3 3 3 2 0 0 , 0 3 3 0 5 5 5 2 2 3 4 -> 0 3 5 4 4 3 4 3 2 4 , 0 4 3 5 3 3 5 4 0 0 4 -> 5 2 5 0 4 4 1 1 2 0 , 0 4 4 1 1 1 2 0 2 4 0 -> 2 5 4 2 5 0 4 0 3 0 , 1 0 0 5 5 5 4 5 4 3 3 -> 4 2 5 5 1 0 1 2 1 3 , 1 0 5 0 3 5 3 1 2 2 0 -> 1 5 1 0 4 1 0 5 2 2 , 2 1 1 0 1 3 1 4 0 1 4 -> 3 4 0 5 5 3 0 3 0 5 , 2 1 1 4 0 5 0 1 2 4 2 -> 0 1 3 3 0 1 0 2 3 2 , 2 1 4 0 2 2 1 2 4 2 0 -> 4 3 2 2 1 0 2 3 2 1 , 2 2 3 1 1 4 4 0 1 3 5 -> 3 5 3 3 3 4 1 5 2 4 , 2 3 5 4 1 2 2 3 2 2 3 -> 4 2 5 5 2 1 2 0 3 3 , 2 4 4 2 2 4 2 1 2 0 0 -> 3 0 5 4 0 0 5 0 1 1 , 3 1 5 1 4 2 3 4 3 1 5 -> 1 4 2 3 4 3 4 5 4 5 , 3 1 5 4 2 5 2 4 0 2 1 -> 5 1 5 1 5 5 4 4 2 2 , 3 1 5 5 1 2 0 0 2 0 4 -> 5 5 5 2 1 2 3 0 5 2 , 3 2 4 1 0 1 2 1 4 0 5 -> 2 0 1 4 4 4 1 2 3 5 , 3 3 0 1 4 0 2 0 3 5 0 -> 3 5 3 4 3 0 1 1 2 2 , 3 3 2 3 3 0 0 1 3 0 2 -> 0 3 0 2 1 1 2 0 2 3 , 3 4 0 2 3 2 0 3 4 2 2 -> 5 1 0 0 0 1 3 4 1 4 , 3 4 2 0 3 1 2 3 5 1 1 -> 3 0 2 4 3 3 5 3 3 4 , 3 5 4 3 2 4 0 3 0 1 1 -> 0 5 0 3 3 0 5 5 5 2 , 4 0 2 2 5 0 1 4 1 3 3 -> 1 2 5 2 3 5 4 3 0 1 , 5 2 1 0 4 2 3 5 2 1 3 -> 5 2 1 0 4 0 1 1 4 0 , 5 5 3 1 3 2 3 2 0 5 3 -> 5 0 4 5 4 4 0 4 3 0 , 0 1 5 0 1 5 1 5 5 3 3 0 -> 1 0 1 4 4 0 5 5 5 1 , 0 2 2 2 3 3 2 2 1 0 1 4 -> 5 1 4 1 0 3 0 0 3 2 , 1 2 0 2 0 3 0 1 5 0 3 5 -> 3 3 4 2 4 0 4 0 4 3 , 1 5 5 5 4 4 3 4 5 0 5 2 -> 2 4 5 5 3 1 1 5 0 3 , 2 2 1 0 1 3 2 1 5 0 4 4 -> 4 0 1 0 3 5 1 2 2 0 , 2 2 2 2 5 4 0 0 2 0 4 5 -> 2 2 2 2 5 0 4 0 2 0 4 5 , 2 2 4 0 4 2 1 3 0 0 2 3 -> 4 4 2 4 2 0 3 1 1 1 , 3 1 5 3 5 4 1 1 2 3 4 0 -> 3 1 5 3 5 4 1 1 3 2 4 0 , 3 1 5 4 5 1 4 4 2 2 5 2 -> 0 3 2 0 1 4 1 0 0 4 , 3 4 1 0 0 0 4 2 2 3 3 4 -> 3 4 1 0 0 4 0 2 2 3 3 4 , 3 5 1 0 4 5 4 0 4 4 3 0 -> 0 3 0 0 4 4 5 1 5 0 , 3 5 2 5 3 1 5 0 3 1 1 3 -> 2 5 0 5 0 3 4 3 0 5 , 3 5 5 4 2 5 3 2 2 4 1 5 -> 1 0 3 5 5 0 1 1 2 1 , 4 1 1 2 1 5 2 2 3 5 5 2 -> 4 1 1 2 1 5 2 2 5 3 5 2 , 4 2 2 3 5 0 0 0 1 5 5 1 -> 0 5 0 2 1 3 4 0 1 2 , 4 3 1 2 5 4 3 2 5 4 3 5 -> 3 0 4 0 1 1 3 5 3 3 , 4 3 1 3 0 4 3 2 3 3 2 5 -> 2 4 5 4 0 1 0 2 2 3 , 4 3 5 2 3 5 3 3 0 1 3 4 -> 5 4 0 0 0 0 2 4 1 5 , 4 5 3 0 1 1 2 5 2 0 1 4 -> 4 5 5 3 5 2 2 0 3 5 , 4 5 5 0 2 5 0 3 4 3 5 2 -> 4 3 4 2 2 4 1 0 3 1 , 0 0 1 2 0 1 4 2 4 0 4 1 5 -> 2 1 0 2 4 0 1 0 0 1 4 4 5 , 0 3 1 5 5 4 4 4 2 2 2 2 1 -> 0 3 1 5 4 5 4 4 2 2 2 2 1 , 0 5 3 0 5 2 0 3 0 5 1 3 1 -> 0 1 2 5 4 1 0 1 0 5 , 3 5 5 5 1 5 1 4 0 3 3 5 5 -> 2 0 3 4 5 4 3 5 3 2 , 4 0 2 1 5 5 2 4 1 2 3 4 5 -> 2 5 4 2 3 0 4 2 4 0 , 4 4 0 1 3 2 0 3 5 1 0 2 2 -> 4 4 0 1 3 2 0 3 1 5 0 2 2 , 4 4 5 4 3 0 3 0 5 3 2 4 4 -> 4 4 4 3 5 3 0 0 5 3 2 4 4 , 0 3 4 1 4 1 2 5 0 3 5 2 4 4 -> 0 3 1 4 4 1 2 5 0 3 5 2 4 4 , 2 4 4 0 3 1 1 5 3 1 1 2 5 5 4 -> 2 4 4 0 3 1 1 3 5 1 1 2 5 5 4 , 2 5 1 2 3 3 0 1 1 0 3 4 5 3 1 -> 2 5 1 2 3 0 3 1 1 0 3 4 5 3 1 , 3 3 1 2 4 3 1 5 3 0 5 3 4 3 0 -> 3 3 1 2 3 4 1 5 3 0 5 3 4 3 0 , 4 1 0 3 1 0 4 1 4 2 2 4 3 0 4 -> 4 1 0 3 1 0 4 4 1 2 2 4 3 0 4 , 4 5 5 5 4 3 1 5 3 3 0 2 4 5 2 -> 3 4 4 2 2 0 0 0 1 2 , 5 1 0 1 4 5 1 0 2 5 1 1 0 5 0 1 -> 5 1 0 1 4 5 0 1 2 5 1 1 0 5 0 1 , 2 2 5 4 4 2 1 4 1 5 0 1 5 0 0 2 2 -> 2 2 5 4 4 2 1 4 5 1 0 1 5 0 0 2 2 , 2 5 1 0 4 5 0 1 1 3 0 4 3 1 5 3 5 -> 2 5 1 0 4 5 0 1 1 3 0 4 3 5 1 3 5 , 0 1 5 3 2 1 2 0 3 0 1 2 5 2 3 0 4 2 0 -> 0 1 3 5 2 1 2 0 3 0 1 2 5 2 3 0 4 2 0 , 1 3 1 1 3 5 2 2 1 0 2 4 1 5 0 0 0 2 2 -> 1 3 1 1 3 5 2 2 1 0 2 4 5 1 0 0 0 2 2 , 3 3 5 0 0 2 2 4 4 0 4 1 0 4 2 5 5 4 3 -> 3 3 5 0 0 2 2 4 4 4 0 1 0 4 2 5 5 4 3 , 4 0 1 3 2 2 2 1 5 0 4 5 0 3 1 4 2 1 4 -> 4 0 1 3 2 2 1 2 5 0 4 5 0 3 1 4 2 1 4 , 0 1 2 4 0 4 5 4 1 2 5 0 3 4 4 0 0 2 3 1 -> 0 1 2 4 0 4 5 4 2 1 5 0 3 4 4 0 0 2 3 1 , 2 2 0 0 5 3 2 3 3 5 5 2 2 3 0 4 5 2 5 0 -> 2 2 0 0 5 3 2 3 3 5 2 5 2 3 0 4 5 2 5 0 , 4 0 1 1 4 2 4 1 2 3 1 0 3 1 4 3 2 0 1 1 -> 4 0 1 1 4 2 4 1 2 3 1 0 3 1 3 4 2 0 1 1 , 3 3 5 1 0 4 2 1 1 4 3 4 5 1 1 0 1 0 1 0 2 -> 3 3 5 1 0 4 2 1 1 4 3 4 5 1 1 0 1 1 0 0 2 , 2 1 0 4 5 0 2 2 3 2 5 2 1 4 0 0 2 2 1 1 2 1 -> 2 1 0 4 5 0 2 2 3 5 2 2 1 4 0 0 2 2 1 1 2 1 , 3 1 4 2 3 3 3 5 5 4 2 4 5 3 2 5 3 5 4 1 2 1 1 -> 3 1 4 2 3 3 3 5 5 2 4 4 5 3 2 5 3 5 4 1 2 1 1 , 5 5 0 3 3 2 3 2 5 2 5 1 3 1 4 5 0 2 5 0 1 1 4 -> 5 5 0 3 2 3 3 2 5 2 5 1 3 1 4 5 0 2 5 0 1 1 4 , 3 3 5 5 5 0 2 1 2 1 2 1 5 1 2 2 0 0 4 3 4 2 3 0 -> 3 3 5 5 5 0 2 2 1 1 2 1 5 1 2 2 0 0 4 3 4 2 3 0 , 0 3 1 0 1 1 3 3 5 0 3 4 4 3 2 1 4 0 2 3 5 1 1 3 1 -> 1 3 0 0 1 3 1 3 0 5 3 2 4 3 4 4 1 0 2 3 5 1 1 3 1 , 4 5 2 3 2 0 2 5 3 5 1 1 0 1 1 1 0 3 3 0 2 0 3 4 0 -> 4 5 2 3 2 0 5 2 5 3 1 0 1 1 1 1 3 0 3 0 2 0 3 0 4 , 4 4 5 5 3 2 2 3 3 0 1 2 4 2 0 4 5 2 0 3 0 2 5 3 4 4 -> 4 4 5 5 3 2 2 3 3 1 0 2 4 2 0 4 5 2 0 3 0 2 5 3 4 4 , 0 4 1 3 1 4 5 1 3 3 4 1 4 2 3 0 4 3 4 5 0 4 1 0 5 3 4 -> 0 4 1 3 1 4 5 3 1 3 4 1 4 2 3 0 4 3 4 5 0 4 1 0 5 3 4 , 0 5 1 1 3 4 0 4 2 3 2 0 0 2 0 1 4 2 0 3 5 0 2 0 1 5 2 3 -> 0 5 1 1 3 4 4 0 2 3 2 0 0 2 0 1 4 2 0 3 5 0 2 0 1 5 2 3 , 1 0 1 2 4 0 2 1 4 2 3 3 0 5 1 0 0 0 1 3 3 2 0 0 0 2 1 5 0 -> 1 0 1 2 4 0 2 1 4 2 3 3 0 5 1 0 0 0 1 3 2 3 0 0 0 2 1 5 0 , 3 0 0 0 2 1 4 2 1 0 2 5 0 0 2 0 3 1 0 1 3 1 1 5 1 3 2 1 3 -> 3 0 0 0 2 1 4 2 1 0 5 2 0 0 2 0 3 1 0 1 3 1 1 5 1 3 2 1 3 , 3 0 0 0 4 0 5 4 3 2 0 0 5 2 3 2 0 2 2 4 4 4 2 2 5 3 2 2 1 -> 3 0 0 0 4 0 5 4 3 2 0 0 5 2 2 3 0 2 2 4 4 4 2 2 5 2 3 2 1 , 3 2 1 1 5 5 1 2 4 3 5 4 1 4 3 5 5 2 4 0 2 4 2 2 4 2 3 2 2 -> 3 2 1 1 5 5 1 2 4 3 5 4 4 1 3 5 5 2 4 0 2 4 2 2 2 4 3 2 2 , 0 5 3 4 1 4 3 3 5 3 4 4 3 4 4 5 5 0 5 0 2 1 2 4 3 4 0 1 1 0 -> 0 5 3 4 1 4 3 3 5 3 4 4 3 4 4 5 5 0 0 5 2 1 2 4 3 4 0 1 1 0 , 2 5 1 3 1 0 2 5 3 1 0 4 2 4 5 0 5 0 2 1 4 1 1 0 0 3 3 2 4 1 -> 2 5 1 3 1 0 2 5 3 0 1 4 2 4 5 0 5 0 2 1 4 1 1 0 0 3 3 2 4 1 , 4 3 5 4 2 1 0 1 3 2 5 1 0 2 4 4 0 5 0 4 4 3 4 2 1 4 5 5 2 1 -> 4 3 4 5 2 1 0 1 3 2 5 1 0 2 4 4 0 5 0 4 4 3 4 2 1 4 5 5 2 1 } The system was reversed. After renaming modulo { 1->0, 3->1, 2->2, 0->3, 4->4, 5->5 }, it remains to prove termination of the 96-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 3 4 0 4 3 3 2 1 0 -> 3 4 4 3 0 3 2 1 0 , 0 2 2 1 1 2 3 5 0 -> 0 2 1 2 2 5 1 3 0 , 3 4 2 4 5 0 2 5 2 -> 3 4 2 4 0 5 2 5 2 , 2 5 4 5 2 4 3 2 5 -> 2 5 4 2 5 4 3 2 5 , 2 4 3 2 2 1 4 2 1 3 -> 5 3 0 5 4 1 2 4 0 5 , 2 4 4 4 0 3 1 4 3 1 -> 2 5 5 3 0 2 3 3 5 4 , 2 4 5 4 1 3 3 4 4 3 3 -> 0 0 1 5 3 0 1 5 0 4 , 4 2 2 0 0 0 1 4 4 0 3 -> 3 3 0 0 1 4 1 0 1 1 , 0 0 3 3 5 5 0 4 1 2 3 -> 4 4 5 5 1 4 1 4 0 0 , 4 1 5 3 1 1 1 4 3 1 3 -> 4 4 5 4 4 2 3 4 1 4 , 3 4 4 2 2 3 3 4 0 1 3 -> 3 3 2 1 1 1 1 1 5 5 , 4 1 2 2 5 5 5 3 1 1 3 -> 4 2 1 4 1 4 4 5 1 3 , 4 3 3 4 5 1 1 5 1 4 3 -> 3 2 0 0 4 4 3 5 2 5 , 3 4 2 3 2 0 0 0 4 4 3 -> 3 1 3 4 3 5 2 4 5 2 , 1 1 4 5 4 5 5 5 3 3 0 -> 1 0 2 0 3 0 5 5 2 4 , 3 2 2 0 1 5 1 3 5 3 0 -> 2 2 5 3 0 4 3 0 5 0 , 4 0 3 4 0 1 0 3 0 0 2 -> 5 3 1 3 1 5 5 3 4 1 , 2 4 2 0 3 5 3 4 0 0 2 -> 2 1 2 3 0 3 1 1 0 3 , 3 2 4 2 0 2 2 3 4 0 2 -> 0 2 1 2 3 0 2 2 1 4 , 5 1 0 3 4 4 0 0 1 2 2 -> 4 2 5 0 4 1 1 1 5 1 , 1 2 2 1 2 2 0 4 5 1 2 -> 1 1 3 2 0 2 5 5 2 4 , 3 3 2 0 2 4 2 2 4 4 2 -> 0 0 3 5 3 3 4 5 3 1 , 5 0 1 4 1 2 4 0 5 0 1 -> 5 4 5 4 1 4 1 2 4 0 , 0 2 3 4 2 5 2 4 5 0 1 -> 2 2 4 4 5 5 0 5 0 5 , 4 3 2 3 3 2 0 5 5 0 1 -> 2 5 3 1 2 0 2 5 5 5 , 5 3 4 0 2 0 3 0 4 2 1 -> 5 1 2 0 4 4 4 0 3 2 , 3 5 1 3 2 3 4 0 3 1 1 -> 2 2 0 0 3 1 4 1 5 1 , 2 3 1 0 3 3 1 1 2 1 1 -> 1 2 3 2 0 0 2 3 1 3 , 2 2 4 1 3 2 1 2 3 4 1 -> 4 0 4 1 0 3 3 3 0 5 , 0 0 5 1 2 0 1 3 2 4 1 -> 4 1 1 5 1 1 4 2 3 1 , 0 0 3 1 3 4 2 1 4 5 1 -> 2 5 5 5 3 1 1 3 5 3 , 1 1 0 4 0 3 5 2 2 3 4 -> 0 3 1 4 5 1 2 5 2 0 , 1 0 2 5 1 2 4 3 0 2 5 -> 3 4 0 0 3 4 3 0 2 5 , 1 5 3 2 1 2 1 0 1 5 5 -> 3 1 4 3 4 4 5 4 3 5 , 3 1 1 5 5 0 5 0 3 5 0 3 -> 0 5 5 5 3 4 4 0 3 0 , 4 0 3 0 2 2 1 1 2 2 2 3 -> 2 1 3 3 1 3 0 4 0 5 , 5 1 3 5 0 3 1 3 2 3 2 0 -> 1 4 3 4 3 4 2 4 1 1 , 2 5 3 5 4 1 4 4 5 5 5 0 -> 1 3 5 0 0 1 5 5 4 2 , 4 4 3 5 0 2 1 0 3 0 2 2 -> 3 2 2 0 5 1 3 0 3 4 , 5 4 3 2 3 3 4 5 2 2 2 2 -> 5 4 3 2 3 4 3 5 2 2 2 2 , 1 2 3 3 1 0 2 4 3 4 2 2 -> 0 0 0 1 3 2 4 2 4 4 , 3 4 1 2 0 0 4 5 1 5 0 1 -> 3 4 2 1 0 0 4 5 1 5 0 1 , 2 5 2 2 4 4 0 5 4 5 0 1 -> 4 3 3 0 4 0 3 2 1 3 , 4 1 1 2 2 4 3 3 3 0 4 1 -> 4 1 1 2 2 3 4 3 3 0 4 1 , 3 1 4 4 3 4 5 4 3 0 5 1 -> 3 5 0 5 4 4 3 3 1 3 , 1 0 0 1 3 5 0 1 5 2 5 1 -> 5 3 1 4 1 3 5 3 5 2 , 5 0 4 2 2 1 5 2 4 5 5 1 -> 0 2 0 0 3 5 5 1 3 0 , 2 5 5 1 2 2 5 0 2 0 0 4 -> 2 5 1 5 2 2 5 0 2 0 0 4 , 0 5 5 0 3 3 3 5 1 2 2 4 -> 2 0 3 4 1 0 2 3 5 3 , 5 1 4 5 2 1 4 5 2 0 1 4 -> 1 1 5 1 0 0 3 4 3 1 , 5 2 1 1 2 1 4 3 1 0 1 4 -> 1 2 2 3 0 3 4 5 4 2 , 4 1 0 3 1 1 5 1 2 5 1 4 -> 5 0 4 2 3 3 3 3 4 5 , 4 0 3 2 5 2 0 0 3 1 5 4 -> 5 1 3 2 2 5 1 5 5 4 , 2 5 1 4 1 3 5 2 3 5 5 4 -> 0 1 3 0 4 2 2 4 1 4 , 5 0 4 3 4 2 4 0 3 2 0 3 3 -> 5 4 4 0 3 3 0 3 4 2 3 0 2 , 0 2 2 2 2 4 4 4 5 5 0 1 3 -> 0 2 2 2 2 4 4 5 4 5 0 1 3 , 0 1 0 5 3 1 3 2 5 3 1 5 3 -> 5 3 0 3 0 4 5 2 0 3 , 5 5 1 1 3 4 0 5 0 5 5 5 1 -> 2 1 5 1 4 5 4 1 3 2 , 5 4 1 2 0 4 2 5 5 0 2 3 4 -> 3 4 2 4 3 1 2 4 5 2 , 2 2 3 0 5 1 3 2 1 0 3 4 4 -> 2 2 3 5 0 1 3 2 1 0 3 4 4 , 4 4 2 1 5 3 1 3 1 4 5 4 4 -> 4 4 2 1 5 3 3 1 5 1 4 4 4 , 4 4 2 5 1 3 5 2 0 4 0 4 1 3 -> 4 4 2 5 1 3 5 2 0 4 4 0 1 3 , 4 5 5 2 0 0 1 5 0 0 1 3 4 4 2 -> 4 5 5 2 0 0 5 1 0 0 1 3 4 4 2 , 0 1 5 4 1 3 0 0 3 1 1 2 0 5 2 -> 0 1 5 4 1 3 0 0 1 3 1 2 0 5 2 , 3 1 4 1 5 3 1 5 0 1 4 2 0 1 1 -> 3 1 4 1 5 3 1 5 0 4 1 2 0 1 1 , 4 3 1 4 2 2 4 0 4 3 0 1 3 0 4 -> 4 3 1 4 2 2 0 4 4 3 0 1 3 0 4 , 2 5 4 2 3 1 1 5 0 1 4 5 5 5 4 -> 2 0 3 3 3 2 2 4 4 1 , 0 3 5 3 0 0 5 2 3 0 5 4 0 3 0 5 -> 0 3 5 3 0 0 5 2 0 3 5 4 0 3 0 5 , 2 2 3 3 5 0 3 5 0 4 0 2 4 4 5 2 2 -> 2 2 3 3 5 0 3 0 5 4 0 2 4 4 5 2 2 , 5 1 5 0 1 4 3 1 0 0 3 5 4 3 0 5 2 -> 5 1 0 5 1 4 3 1 0 0 3 5 4 3 0 5 2 , 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 1 5 0 3 -> 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 5 1 0 3 , 2 2 3 3 3 5 0 4 2 3 0 2 2 5 1 0 0 1 0 -> 2 2 3 3 3 0 5 4 2 3 0 2 2 5 1 0 0 1 0 , 1 4 5 5 2 4 3 0 4 3 4 4 2 2 3 3 5 1 1 -> 1 4 5 5 2 4 3 0 3 4 4 4 2 2 3 3 5 1 1 , 4 0 2 4 0 1 3 5 4 3 5 0 2 2 2 1 0 3 4 -> 4 0 2 4 0 1 3 5 4 3 5 2 0 2 2 1 0 3 4 , 0 1 2 3 3 4 4 1 3 5 2 0 4 5 4 3 4 2 0 3 -> 0 1 2 3 3 4 4 1 3 5 0 2 4 5 4 3 4 2 0 3 , 3 5 2 5 4 3 1 2 2 5 5 1 1 2 1 5 3 3 2 2 -> 3 5 2 5 4 3 1 2 5 2 5 1 1 2 1 5 3 3 2 2 , 0 0 3 2 1 4 0 1 3 0 1 2 0 4 2 4 0 0 3 4 -> 0 0 3 2 4 1 0 1 3 0 1 2 0 4 2 4 0 0 3 4 , 2 3 0 3 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 -> 2 3 3 0 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 , 0 2 0 0 2 2 3 3 4 0 2 5 2 1 2 2 3 5 4 3 0 2 -> 0 2 0 0 2 2 3 3 4 0 2 2 5 1 2 2 3 5 4 3 0 2 , 0 0 2 0 4 5 1 5 2 1 5 4 2 4 5 5 1 1 1 2 4 0 1 -> 0 0 2 0 4 5 1 5 2 1 5 4 4 2 5 5 1 1 1 2 4 0 1 , 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 2 1 1 3 5 5 -> 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 1 2 1 3 5 5 , 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 2 0 2 3 5 5 5 1 1 -> 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 0 2 2 3 5 5 5 1 1 , 0 1 0 0 5 1 2 3 4 0 2 1 4 4 1 3 5 1 1 0 0 3 0 1 3 -> 0 1 0 0 5 1 2 3 0 4 4 1 4 2 1 5 3 1 0 1 0 3 3 1 0 , 3 4 1 3 2 3 1 1 3 0 0 0 3 0 0 5 1 5 2 3 2 1 2 5 4 -> 4 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 5 2 5 3 2 1 2 5 4 , 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 0 3 1 1 2 2 1 5 5 4 4 -> 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 3 0 1 1 2 2 1 5 5 4 4 , 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 1 0 5 4 0 1 0 4 3 -> 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 0 1 5 4 0 1 0 4 3 , 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 4 3 4 1 0 0 5 3 -> 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 3 4 4 1 0 0 5 3 , 3 5 0 2 3 3 3 2 1 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 -> 3 5 0 2 3 3 3 1 2 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 , 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 5 2 3 0 2 4 0 2 3 3 3 1 -> 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 2 5 3 0 2 4 0 2 3 3 3 1 , 0 2 2 1 5 2 2 4 4 4 2 2 3 2 1 2 5 3 3 2 1 4 5 3 4 3 3 3 1 -> 0 2 1 2 5 2 2 4 4 4 2 2 3 1 2 2 5 3 3 2 1 4 5 3 4 3 3 3 1 , 2 2 1 2 4 2 2 4 2 3 4 2 5 5 1 4 0 4 5 1 4 2 0 5 5 0 0 2 1 -> 2 2 1 4 2 2 2 4 2 3 4 2 5 5 1 0 4 4 5 1 4 2 0 5 5 0 0 2 1 , 3 0 0 3 4 1 4 2 0 2 3 5 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 -> 3 0 0 3 4 1 4 2 0 2 5 3 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 , 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 3 0 1 5 2 3 0 1 0 5 2 -> 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 0 3 1 5 2 3 0 1 0 5 2 , 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 4 5 1 4 -> 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 5 4 1 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 48-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 3 4 0 4 3 3 2 1 0 -> 3 4 4 3 0 3 2 1 0 , 0 2 2 1 1 2 3 5 0 -> 0 2 1 2 2 5 1 3 0 , 3 4 2 4 5 0 2 5 2 -> 3 4 2 4 0 5 2 5 2 , 2 5 4 5 2 4 3 2 5 -> 2 5 4 2 5 4 3 2 5 , 2 4 3 2 2 1 4 2 1 3 -> 5 3 0 5 4 1 2 4 0 5 , 2 4 4 4 0 3 1 4 3 1 -> 2 5 5 3 0 2 3 3 5 4 , 5 4 3 2 3 3 4 5 2 2 2 2 -> 5 4 3 2 3 4 3 5 2 2 2 2 , 3 4 1 2 0 0 4 5 1 5 0 1 -> 3 4 2 1 0 0 4 5 1 5 0 1 , 4 1 1 2 2 4 3 3 3 0 4 1 -> 4 1 1 2 2 3 4 3 3 0 4 1 , 2 5 5 1 2 2 5 0 2 0 0 4 -> 2 5 1 5 2 2 5 0 2 0 0 4 , 5 0 4 3 4 2 4 0 3 2 0 3 3 -> 5 4 4 0 3 3 0 3 4 2 3 0 2 , 0 2 2 2 2 4 4 4 5 5 0 1 3 -> 0 2 2 2 2 4 4 5 4 5 0 1 3 , 2 2 3 0 5 1 3 2 1 0 3 4 4 -> 2 2 3 5 0 1 3 2 1 0 3 4 4 , 4 4 2 1 5 3 1 3 1 4 5 4 4 -> 4 4 2 1 5 3 3 1 5 1 4 4 4 , 4 4 2 5 1 3 5 2 0 4 0 4 1 3 -> 4 4 2 5 1 3 5 2 0 4 4 0 1 3 , 4 5 5 2 0 0 1 5 0 0 1 3 4 4 2 -> 4 5 5 2 0 0 5 1 0 0 1 3 4 4 2 , 0 1 5 4 1 3 0 0 3 1 1 2 0 5 2 -> 0 1 5 4 1 3 0 0 1 3 1 2 0 5 2 , 3 1 4 1 5 3 1 5 0 1 4 2 0 1 1 -> 3 1 4 1 5 3 1 5 0 4 1 2 0 1 1 , 4 3 1 4 2 2 4 0 4 3 0 1 3 0 4 -> 4 3 1 4 2 2 0 4 4 3 0 1 3 0 4 , 0 3 5 3 0 0 5 2 3 0 5 4 0 3 0 5 -> 0 3 5 3 0 0 5 2 0 3 5 4 0 3 0 5 , 2 2 3 3 5 0 3 5 0 4 0 2 4 4 5 2 2 -> 2 2 3 3 5 0 3 0 5 4 0 2 4 4 5 2 2 , 5 1 5 0 1 4 3 1 0 0 3 5 4 3 0 5 2 -> 5 1 0 5 1 4 3 1 0 0 3 5 4 3 0 5 2 , 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 1 5 0 3 -> 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 5 1 0 3 , 2 2 3 3 3 5 0 4 2 3 0 2 2 5 1 0 0 1 0 -> 2 2 3 3 3 0 5 4 2 3 0 2 2 5 1 0 0 1 0 , 1 4 5 5 2 4 3 0 4 3 4 4 2 2 3 3 5 1 1 -> 1 4 5 5 2 4 3 0 3 4 4 4 2 2 3 3 5 1 1 , 4 0 2 4 0 1 3 5 4 3 5 0 2 2 2 1 0 3 4 -> 4 0 2 4 0 1 3 5 4 3 5 2 0 2 2 1 0 3 4 , 0 1 2 3 3 4 4 1 3 5 2 0 4 5 4 3 4 2 0 3 -> 0 1 2 3 3 4 4 1 3 5 0 2 4 5 4 3 4 2 0 3 , 3 5 2 5 4 3 1 2 2 5 5 1 1 2 1 5 3 3 2 2 -> 3 5 2 5 4 3 1 2 5 2 5 1 1 2 1 5 3 3 2 2 , 0 0 3 2 1 4 0 1 3 0 1 2 0 4 2 4 0 0 3 4 -> 0 0 3 2 4 1 0 1 3 0 1 2 0 4 2 4 0 0 3 4 , 2 3 0 3 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 -> 2 3 3 0 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 , 0 2 0 0 2 2 3 3 4 0 2 5 2 1 2 2 3 5 4 3 0 2 -> 0 2 0 0 2 2 3 3 4 0 2 2 5 1 2 2 3 5 4 3 0 2 , 0 0 2 0 4 5 1 5 2 1 5 4 2 4 5 5 1 1 1 2 4 0 1 -> 0 0 2 0 4 5 1 5 2 1 5 4 4 2 5 5 1 1 1 2 4 0 1 , 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 2 1 1 3 5 5 -> 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 1 2 1 3 5 5 , 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 2 0 2 3 5 5 5 1 1 -> 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 0 2 2 3 5 5 5 1 1 , 0 1 0 0 5 1 2 3 4 0 2 1 4 4 1 3 5 1 1 0 0 3 0 1 3 -> 0 1 0 0 5 1 2 3 0 4 4 1 4 2 1 5 3 1 0 1 0 3 3 1 0 , 3 4 1 3 2 3 1 1 3 0 0 0 3 0 0 5 1 5 2 3 2 1 2 5 4 -> 4 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 5 2 5 3 2 1 2 5 4 , 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 0 3 1 1 2 2 1 5 5 4 4 -> 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 3 0 1 1 2 2 1 5 5 4 4 , 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 1 0 5 4 0 1 0 4 3 -> 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 0 1 5 4 0 1 0 4 3 , 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 4 3 4 1 0 0 5 3 -> 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 3 4 4 1 0 0 5 3 , 3 5 0 2 3 3 3 2 1 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 -> 3 5 0 2 3 3 3 1 2 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 , 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 5 2 3 0 2 4 0 2 3 3 3 1 -> 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 2 5 3 0 2 4 0 2 3 3 3 1 , 0 2 2 1 5 2 2 4 4 4 2 2 3 2 1 2 5 3 3 2 1 4 5 3 4 3 3 3 1 -> 0 2 1 2 5 2 2 4 4 4 2 2 3 1 2 2 5 3 3 2 1 4 5 3 4 3 3 3 1 , 2 2 1 2 4 2 2 4 2 3 4 2 5 5 1 4 0 4 5 1 4 2 0 5 5 0 0 2 1 -> 2 2 1 4 2 2 2 4 2 3 4 2 5 5 1 0 4 4 5 1 4 2 0 5 5 0 0 2 1 , 3 0 0 3 4 1 4 2 0 2 3 5 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 -> 3 0 0 3 4 1 4 2 0 2 5 3 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 , 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 3 0 1 5 2 3 0 1 0 5 2 -> 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 0 3 1 5 2 3 0 1 0 5 2 , 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 4 5 1 4 -> 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 5 4 1 4 } 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 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 46-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 3 4 0 4 3 3 2 1 0 -> 3 4 4 3 0 3 2 1 0 , 0 2 2 1 1 2 3 5 0 -> 0 2 1 2 2 5 1 3 0 , 3 4 2 4 5 0 2 5 2 -> 3 4 2 4 0 5 2 5 2 , 2 5 4 5 2 4 3 2 5 -> 2 5 4 2 5 4 3 2 5 , 5 4 3 2 3 3 4 5 2 2 2 2 -> 5 4 3 2 3 4 3 5 2 2 2 2 , 3 4 1 2 0 0 4 5 1 5 0 1 -> 3 4 2 1 0 0 4 5 1 5 0 1 , 4 1 1 2 2 4 3 3 3 0 4 1 -> 4 1 1 2 2 3 4 3 3 0 4 1 , 2 5 5 1 2 2 5 0 2 0 0 4 -> 2 5 1 5 2 2 5 0 2 0 0 4 , 5 0 4 3 4 2 4 0 3 2 0 3 3 -> 5 4 4 0 3 3 0 3 4 2 3 0 2 , 0 2 2 2 2 4 4 4 5 5 0 1 3 -> 0 2 2 2 2 4 4 5 4 5 0 1 3 , 2 2 3 0 5 1 3 2 1 0 3 4 4 -> 2 2 3 5 0 1 3 2 1 0 3 4 4 , 4 4 2 1 5 3 1 3 1 4 5 4 4 -> 4 4 2 1 5 3 3 1 5 1 4 4 4 , 4 4 2 5 1 3 5 2 0 4 0 4 1 3 -> 4 4 2 5 1 3 5 2 0 4 4 0 1 3 , 4 5 5 2 0 0 1 5 0 0 1 3 4 4 2 -> 4 5 5 2 0 0 5 1 0 0 1 3 4 4 2 , 0 1 5 4 1 3 0 0 3 1 1 2 0 5 2 -> 0 1 5 4 1 3 0 0 1 3 1 2 0 5 2 , 3 1 4 1 5 3 1 5 0 1 4 2 0 1 1 -> 3 1 4 1 5 3 1 5 0 4 1 2 0 1 1 , 4 3 1 4 2 2 4 0 4 3 0 1 3 0 4 -> 4 3 1 4 2 2 0 4 4 3 0 1 3 0 4 , 0 3 5 3 0 0 5 2 3 0 5 4 0 3 0 5 -> 0 3 5 3 0 0 5 2 0 3 5 4 0 3 0 5 , 2 2 3 3 5 0 3 5 0 4 0 2 4 4 5 2 2 -> 2 2 3 3 5 0 3 0 5 4 0 2 4 4 5 2 2 , 5 1 5 0 1 4 3 1 0 0 3 5 4 3 0 5 2 -> 5 1 0 5 1 4 3 1 0 0 3 5 4 3 0 5 2 , 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 1 5 0 3 -> 3 2 4 3 1 2 5 2 0 3 1 3 2 0 2 5 1 0 3 , 2 2 3 3 3 5 0 4 2 3 0 2 2 5 1 0 0 1 0 -> 2 2 3 3 3 0 5 4 2 3 0 2 2 5 1 0 0 1 0 , 1 4 5 5 2 4 3 0 4 3 4 4 2 2 3 3 5 1 1 -> 1 4 5 5 2 4 3 0 3 4 4 4 2 2 3 3 5 1 1 , 4 0 2 4 0 1 3 5 4 3 5 0 2 2 2 1 0 3 4 -> 4 0 2 4 0 1 3 5 4 3 5 2 0 2 2 1 0 3 4 , 0 1 2 3 3 4 4 1 3 5 2 0 4 5 4 3 4 2 0 3 -> 0 1 2 3 3 4 4 1 3 5 0 2 4 5 4 3 4 2 0 3 , 3 5 2 5 4 3 1 2 2 5 5 1 1 2 1 5 3 3 2 2 -> 3 5 2 5 4 3 1 2 5 2 5 1 1 2 1 5 3 3 2 2 , 0 0 3 2 1 4 0 1 3 0 1 2 0 4 2 4 0 0 3 4 -> 0 0 3 2 4 1 0 1 3 0 1 2 0 4 2 4 0 0 3 4 , 2 3 0 3 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 -> 2 3 3 0 0 3 0 0 5 4 1 4 0 0 2 4 3 0 5 1 1 , 0 2 0 0 2 2 3 3 4 0 2 5 2 1 2 2 3 5 4 3 0 2 -> 0 2 0 0 2 2 3 3 4 0 2 2 5 1 2 2 3 5 4 3 0 2 , 0 0 2 0 4 5 1 5 2 1 5 4 2 4 5 5 1 1 1 2 4 0 1 -> 0 0 2 0 4 5 1 5 2 1 5 4 4 2 5 5 1 1 1 2 4 0 1 , 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 2 1 1 3 5 5 -> 4 0 0 3 5 2 3 5 4 0 1 0 5 2 5 2 1 1 2 1 3 5 5 , 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 2 0 2 3 5 5 5 1 1 -> 3 1 2 4 1 4 3 3 2 2 0 5 0 2 0 0 2 2 3 5 5 5 1 1 , 0 1 0 0 5 1 2 3 4 0 2 1 4 4 1 3 5 1 1 0 0 3 0 1 3 -> 0 1 0 0 5 1 2 3 0 4 4 1 4 2 1 5 3 1 0 1 0 3 3 1 0 , 3 4 1 3 2 3 1 1 3 0 0 0 3 0 0 5 1 5 2 3 2 1 2 5 4 -> 4 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 5 2 5 3 2 1 2 5 4 , 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 0 3 1 1 2 2 1 5 5 4 4 -> 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 3 0 1 1 2 2 1 5 5 4 4 , 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 1 0 5 4 0 1 0 4 3 -> 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 0 1 5 4 0 1 0 4 3 , 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 4 3 4 1 0 0 5 3 -> 1 2 5 0 3 2 3 5 1 3 2 4 0 3 2 3 3 2 1 2 3 4 4 1 0 0 5 3 , 3 5 0 2 3 3 3 2 1 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 -> 3 5 0 2 3 3 3 1 2 1 0 3 3 3 0 5 3 1 1 2 4 0 2 3 4 2 0 3 0 , 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 5 2 3 0 2 4 0 2 3 3 3 1 -> 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 2 5 3 0 2 4 0 2 3 3 3 1 , 0 2 2 1 5 2 2 4 4 4 2 2 3 2 1 2 5 3 3 2 1 4 5 3 4 3 3 3 1 -> 0 2 1 2 5 2 2 4 4 4 2 2 3 1 2 2 5 3 3 2 1 4 5 3 4 3 3 3 1 , 2 2 1 2 4 2 2 4 2 3 4 2 5 5 1 4 0 4 5 1 4 2 0 5 5 0 0 2 1 -> 2 2 1 4 2 2 2 4 2 3 4 2 5 5 1 0 4 4 5 1 4 2 0 5 5 0 0 2 1 , 3 0 0 3 4 1 4 2 0 2 3 5 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 -> 3 0 0 3 4 1 4 2 0 2 5 3 3 5 5 4 4 1 4 4 1 5 1 1 4 0 4 1 5 3 , 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 3 0 1 5 2 3 0 1 0 5 2 -> 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 0 3 1 5 2 3 0 1 0 5 2 , 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 4 5 1 4 -> 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 5 4 1 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 10: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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, 5->4, 4->5 }, it remains to prove termination of the 45-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 3 5 2 5 4 0 2 4 2 -> 3 5 2 5 0 4 2 4 2 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 4 5 3 2 3 3 5 4 2 2 2 2 -> 4 5 3 2 3 5 3 4 2 2 2 2 , 3 5 1 2 0 0 5 4 1 4 0 1 -> 3 5 2 1 0 0 5 4 1 4 0 1 , 5 1 1 2 2 5 3 3 3 0 5 1 -> 5 1 1 2 2 3 5 3 3 0 5 1 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 4 0 5 3 5 2 5 0 3 2 0 3 3 -> 4 5 5 0 3 3 0 3 5 2 3 0 2 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 10: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 44-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 4 5 3 2 3 3 5 4 2 2 2 2 -> 4 5 3 2 3 5 3 4 2 2 2 2 , 3 5 1 2 0 0 5 4 1 4 0 1 -> 3 5 2 1 0 0 5 4 1 4 0 1 , 5 1 1 2 2 5 3 3 3 0 5 1 -> 5 1 1 2 2 3 5 3 3 0 5 1 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 4 0 5 3 5 2 5 0 3 2 0 3 3 -> 4 5 5 0 3 3 0 3 5 2 3 0 2 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 13: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 43-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 3 5 1 2 0 0 5 4 1 4 0 1 -> 3 5 2 1 0 0 5 4 1 4 0 1 , 5 1 1 2 2 5 3 3 3 0 5 1 -> 5 1 1 2 2 3 5 3 3 0 5 1 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 4 0 5 3 5 2 5 0 3 2 0 3 3 -> 4 5 5 0 3 3 0 3 5 2 3 0 2 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 13: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 42-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 5 1 1 2 2 5 3 3 3 0 5 1 -> 5 1 1 2 2 3 5 3 3 0 5 1 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 4 0 5 3 5 2 5 0 3 2 0 3 3 -> 4 5 5 0 3 3 0 3 5 2 3 0 2 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 13: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 41-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 4 0 5 3 5 2 5 0 3 2 0 3 3 -> 4 5 5 0 3 3 0 3 5 2 3 0 2 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 14: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 40-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 5 4 2 5 3 2 4 -> 2 4 5 2 4 5 3 2 4 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 10: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 39-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 5 2 4 1 3 4 2 0 5 0 5 1 3 -> 5 5 2 4 1 3 4 2 0 5 5 0 1 3 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 15: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 38-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 5 4 4 2 0 0 1 4 0 0 1 3 5 5 2 -> 5 4 4 2 0 0 4 1 0 0 1 3 5 5 2 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 16: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 37-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 3 1 5 1 4 3 1 4 0 1 5 2 0 1 1 -> 3 1 5 1 4 3 1 4 0 5 1 2 0 1 1 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 16: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 36-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 2 2 3 3 4 0 3 4 0 5 0 2 5 5 4 2 2 -> 2 2 3 3 4 0 3 0 4 5 0 2 5 5 4 2 2 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 18: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 35-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 4 1 4 0 1 5 3 1 0 0 3 4 5 3 0 4 2 -> 4 1 0 4 1 5 3 1 0 0 3 4 5 3 0 4 2 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 18: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 34-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 2 2 3 3 3 4 0 5 2 3 0 2 2 4 1 0 0 1 0 -> 2 2 3 3 3 0 4 5 2 3 0 2 2 4 1 0 0 1 0 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 33-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 1 5 4 4 2 5 3 0 5 3 5 5 2 2 3 3 4 1 1 -> 1 5 4 4 2 5 3 0 3 5 5 5 2 2 3 3 4 1 1 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 32-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 3 4 2 4 5 3 1 2 2 4 4 1 1 2 1 4 3 3 2 2 -> 3 4 2 4 5 3 1 2 4 2 4 1 1 2 1 4 3 3 2 2 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 21: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 31-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 2 3 0 3 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 -> 2 3 3 0 0 3 0 0 4 5 1 5 0 0 2 5 3 0 4 1 1 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 22: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 30-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 2 1 1 3 4 4 -> 5 0 0 3 4 2 3 4 5 0 1 0 4 2 4 2 1 1 2 1 3 4 4 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 24: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 29-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 2 0 2 3 4 4 4 1 1 -> 3 1 2 5 1 5 3 3 2 2 0 4 0 2 0 0 2 2 3 4 4 4 1 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 25: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 28-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 5 3 5 1 0 0 4 3 -> 1 2 4 0 3 2 3 4 1 3 2 5 0 3 2 3 3 2 1 2 3 5 5 1 0 0 4 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 29: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 27-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 3 4 0 2 3 3 3 2 1 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 -> 3 4 0 2 3 3 3 1 2 1 0 3 3 3 0 4 3 1 1 2 5 0 2 3 5 2 0 3 0 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 30: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 26-rule system { 0 1 1 2 0 3 3 -> 0 1 1 0 2 3 3 , 3 0 1 3 0 0 2 -> 3 0 1 0 0 3 2 , 0 2 2 1 1 2 3 4 0 -> 0 2 1 2 2 4 1 3 0 , 2 4 4 1 2 2 4 0 2 0 0 5 -> 2 4 1 4 2 2 4 0 2 0 0 5 , 0 2 2 2 2 5 5 5 4 4 0 1 3 -> 0 2 2 2 2 5 5 4 5 4 0 1 3 , 2 2 3 0 4 1 3 2 1 0 3 5 5 -> 2 2 3 4 0 1 3 2 1 0 3 5 5 , 5 5 2 1 4 3 1 3 1 5 4 5 5 -> 5 5 2 1 4 3 3 1 4 1 5 5 5 , 0 1 4 5 1 3 0 0 3 1 1 2 0 4 2 -> 0 1 4 5 1 3 0 0 1 3 1 2 0 4 2 , 5 3 1 5 2 2 5 0 5 3 0 1 3 0 5 -> 5 3 1 5 2 2 0 5 5 3 0 1 3 0 5 , 0 3 4 3 0 0 4 2 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 2 0 3 4 5 0 3 0 4 , 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 1 4 0 3 -> 3 2 5 3 1 2 4 2 0 3 1 3 2 0 2 4 1 0 3 , 5 0 2 5 0 1 3 4 5 3 4 0 2 2 2 1 0 3 5 -> 5 0 2 5 0 1 3 4 5 3 4 2 0 2 2 1 0 3 5 , 0 1 2 3 3 5 5 1 3 4 2 0 5 4 5 3 5 2 0 3 -> 0 1 2 3 3 5 5 1 3 4 0 2 5 4 5 3 5 2 0 3 , 0 0 3 2 1 5 0 1 3 0 1 2 0 5 2 5 0 0 3 5 -> 0 0 3 2 5 1 0 1 3 0 1 2 0 5 2 5 0 0 3 5 , 0 2 0 0 2 2 3 3 5 0 2 4 2 1 2 2 3 4 5 3 0 2 -> 0 2 0 0 2 2 3 3 5 0 2 2 4 1 2 2 3 4 5 3 0 2 , 0 0 2 0 5 4 1 4 2 1 4 5 2 5 4 4 1 1 1 2 5 0 1 -> 0 0 2 0 5 4 1 4 2 1 4 5 5 2 4 4 1 1 1 2 5 0 1 , 0 1 0 0 4 1 2 3 5 0 2 1 5 5 1 3 4 1 1 0 0 3 0 1 3 -> 0 1 0 0 4 1 2 3 0 5 5 1 5 2 1 4 3 1 0 1 0 3 3 1 0 , 3 5 1 3 2 3 1 1 3 0 0 0 3 0 0 4 1 4 2 3 2 1 2 4 5 -> 5 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 4 2 4 3 2 1 2 4 5 , 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 0 3 1 1 2 2 1 4 4 5 5 -> 5 5 1 4 2 3 1 3 2 4 5 3 2 5 2 3 0 1 1 2 2 1 4 4 5 5 , 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 1 0 4 5 0 1 0 5 3 -> 5 1 4 3 0 5 3 4 5 1 5 3 1 2 5 0 5 1 0 1 4 5 0 1 0 5 3 , 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 4 2 3 0 2 5 0 2 3 3 3 1 -> 1 0 2 1 0 4 0 0 1 0 3 0 1 3 2 3 3 2 4 3 0 2 5 0 2 3 3 3 1 , 0 2 2 1 4 2 2 5 5 5 2 2 3 2 1 2 4 3 3 2 1 5 4 3 5 3 3 3 1 -> 0 2 1 2 4 2 2 5 5 5 2 2 3 1 2 2 4 3 3 2 1 5 4 3 5 3 3 3 1 , 2 2 1 2 5 2 2 5 2 3 5 2 4 4 1 5 0 5 4 1 5 2 0 4 4 0 0 2 1 -> 2 2 1 5 2 2 2 5 2 3 5 2 4 4 1 0 5 5 4 1 5 2 0 4 4 0 0 2 1 , 3 0 0 3 5 1 5 2 0 2 3 4 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 -> 3 0 0 3 5 1 5 2 0 2 4 3 3 4 4 5 5 1 5 5 1 4 1 1 5 0 5 1 4 3 , 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 3 0 1 4 2 3 0 1 0 4 2 -> 0 5 2 1 1 3 3 0 0 5 0 2 3 4 3 4 5 2 5 0 3 1 4 2 3 0 1 0 4 2 , 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 5 4 1 5 -> 0 2 4 4 5 0 2 5 1 5 5 3 4 3 5 5 2 3 0 4 2 1 0 3 0 2 4 5 1 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 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 0 0 0 0 | \ / 2 is interpreted by / \ | 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 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 3->0, 0->1, 1->2, 2->3, 4->4, 5->5 }, it remains to prove termination of the 25-rule system { 0 1 2 0 1 1 3 -> 0 1 2 1 1 0 3 , 1 3 3 2 2 3 0 4 1 -> 1 3 2 3 3 4 2 0 1 , 3 4 4 2 3 3 4 1 3 1 1 5 -> 3 4 2 4 3 3 4 1 3 1 1 5 , 1 3 3 3 3 5 5 5 4 4 1 2 0 -> 1 3 3 3 3 5 5 4 5 4 1 2 0 , 3 3 0 1 4 2 0 3 2 1 0 5 5 -> 3 3 0 4 1 2 0 3 2 1 0 5 5 , 5 5 3 2 4 0 2 0 2 5 4 5 5 -> 5 5 3 2 4 0 0 2 4 2 5 5 5 , 1 2 4 5 2 0 1 1 0 2 2 3 1 4 3 -> 1 2 4 5 2 0 1 1 2 0 2 3 1 4 3 , 5 0 2 5 3 3 5 1 5 0 1 2 0 1 5 -> 5 0 2 5 3 3 1 5 5 0 1 2 0 1 5 , 1 0 4 0 1 1 4 3 0 1 4 5 1 0 1 4 -> 1 0 4 0 1 1 4 3 1 0 4 5 1 0 1 4 , 0 3 5 0 2 3 4 3 1 0 2 0 3 1 3 2 4 1 0 -> 0 3 5 0 2 3 4 3 1 0 2 0 3 1 3 4 2 1 0 , 5 1 3 5 1 2 0 4 5 0 4 1 3 3 3 2 1 0 5 -> 5 1 3 5 1 2 0 4 5 0 4 3 1 3 3 2 1 0 5 , 1 2 3 0 0 5 5 2 0 4 3 1 5 4 5 0 5 3 1 0 -> 1 2 3 0 0 5 5 2 0 4 1 3 5 4 5 0 5 3 1 0 , 1 1 0 3 2 5 1 2 0 1 2 3 1 5 3 5 1 1 0 5 -> 1 1 0 3 5 2 1 2 0 1 2 3 1 5 3 5 1 1 0 5 , 1 3 1 1 3 3 0 0 5 1 3 4 3 2 3 3 0 4 5 0 1 3 -> 1 3 1 1 3 3 0 0 5 1 3 3 4 2 3 3 0 4 5 0 1 3 , 1 1 3 1 5 4 2 4 3 2 4 5 3 5 4 4 2 2 2 3 5 1 2 -> 1 1 3 1 5 4 2 4 3 2 4 5 5 3 4 4 2 2 2 3 5 1 2 , 1 2 1 1 4 2 3 0 5 1 3 2 5 5 2 0 4 2 2 1 1 0 1 2 0 -> 1 2 1 1 4 2 3 0 1 5 5 2 5 3 2 4 0 2 1 2 1 0 0 2 1 , 0 5 2 0 3 0 2 2 0 1 1 1 0 1 1 4 2 4 3 0 3 2 3 4 5 -> 5 0 2 0 3 0 2 0 2 1 1 1 1 0 1 2 4 3 4 0 3 2 3 4 5 , 5 5 2 4 3 0 2 0 3 4 5 0 3 5 3 1 0 2 2 3 3 2 4 4 5 5 -> 5 5 2 4 3 0 2 0 3 4 5 0 3 5 3 0 1 2 2 3 3 2 4 4 5 5 , 5 2 4 0 1 5 0 4 5 2 5 0 2 3 5 1 5 2 2 1 4 5 1 2 1 5 0 -> 5 2 4 0 1 5 0 4 5 2 5 0 2 3 5 1 5 2 1 2 4 5 1 2 1 5 0 , 2 1 3 2 1 4 1 1 2 1 0 1 2 0 3 0 0 4 3 0 1 3 5 1 3 0 0 0 2 -> 2 1 3 2 1 4 1 1 2 1 0 1 2 0 3 0 0 3 4 0 1 3 5 1 3 0 0 0 2 , 1 3 3 2 4 3 3 5 5 5 3 3 0 3 2 3 4 0 0 3 2 5 4 0 5 0 0 0 2 -> 1 3 2 3 4 3 3 5 5 5 3 3 0 2 3 3 4 0 0 3 2 5 4 0 5 0 0 0 2 , 3 3 2 3 5 3 3 5 3 0 5 3 4 4 2 5 1 5 4 2 5 3 1 4 4 1 1 3 2 -> 3 3 2 5 3 3 3 5 3 0 5 3 4 4 2 1 5 5 4 2 5 3 1 4 4 1 1 3 2 , 0 1 1 0 5 2 5 3 1 3 0 4 0 4 4 5 5 2 5 5 2 4 2 2 5 1 5 2 4 0 -> 0 1 1 0 5 2 5 3 1 3 4 0 0 4 4 5 5 2 5 5 2 4 2 2 5 1 5 2 4 0 , 1 5 3 2 2 0 0 1 1 5 1 3 0 4 0 4 5 3 5 0 1 2 4 3 0 1 2 1 4 3 -> 1 5 3 2 2 0 0 1 1 5 1 3 0 4 0 4 5 3 5 1 0 2 4 3 0 1 2 1 4 3 , 1 3 4 4 5 1 3 5 2 5 5 0 4 0 5 5 3 0 1 4 3 2 1 0 1 3 5 4 2 5 -> 1 3 4 4 5 1 3 5 2 5 5 0 4 0 5 5 3 0 1 4 3 2 1 0 1 3 4 5 2 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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 | \ / 2 is interpreted by / \ | 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 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 { 1->0, 3->1, 2->2, 0->3, 4->4, 5->5 }, it remains to prove termination of the 24-rule system { 0 1 1 2 2 1 3 4 0 -> 0 1 2 1 1 4 2 3 0 , 1 4 4 2 1 1 4 0 1 0 0 5 -> 1 4 2 4 1 1 4 0 1 0 0 5 , 0 1 1 1 1 5 5 5 4 4 0 2 3 -> 0 1 1 1 1 5 5 4 5 4 0 2 3 , 1 1 3 0 4 2 3 1 2 0 3 5 5 -> 1 1 3 4 0 2 3 1 2 0 3 5 5 , 5 5 1 2 4 3 2 3 2 5 4 5 5 -> 5 5 1 2 4 3 3 2 4 2 5 5 5 , 0 2 4 5 2 3 0 0 3 2 2 1 0 4 1 -> 0 2 4 5 2 3 0 0 2 3 2 1 0 4 1 , 5 3 2 5 1 1 5 0 5 3 0 2 3 0 5 -> 5 3 2 5 1 1 0 5 5 3 0 2 3 0 5 , 0 3 4 3 0 0 4 1 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 1 0 3 4 5 0 3 0 4 , 3 1 5 3 2 1 4 1 0 3 2 3 1 0 1 2 4 0 3 -> 3 1 5 3 2 1 4 1 0 3 2 3 1 0 1 4 2 0 3 , 5 0 1 5 0 2 3 4 5 3 4 0 1 1 1 2 0 3 5 -> 5 0 1 5 0 2 3 4 5 3 4 1 0 1 1 2 0 3 5 , 0 2 1 3 3 5 5 2 3 4 1 0 5 4 5 3 5 1 0 3 -> 0 2 1 3 3 5 5 2 3 4 0 1 5 4 5 3 5 1 0 3 , 0 0 3 1 2 5 0 2 3 0 2 1 0 5 1 5 0 0 3 5 -> 0 0 3 1 5 2 0 2 3 0 2 1 0 5 1 5 0 0 3 5 , 0 1 0 0 1 1 3 3 5 0 1 4 1 2 1 1 3 4 5 3 0 1 -> 0 1 0 0 1 1 3 3 5 0 1 1 4 2 1 1 3 4 5 3 0 1 , 0 0 1 0 5 4 2 4 1 2 4 5 1 5 4 4 2 2 2 1 5 0 2 -> 0 0 1 0 5 4 2 4 1 2 4 5 5 1 4 4 2 2 2 1 5 0 2 , 0 2 0 0 4 2 1 3 5 0 1 2 5 5 2 3 4 2 2 0 0 3 0 2 3 -> 0 2 0 0 4 2 1 3 0 5 5 2 5 1 2 4 3 2 0 2 0 3 3 2 0 , 3 5 2 3 1 3 2 2 3 0 0 0 3 0 0 4 2 4 1 3 1 2 1 4 5 -> 5 3 2 3 1 3 2 3 2 0 0 0 0 3 0 2 4 1 4 3 1 2 1 4 5 , 5 5 2 4 1 3 2 3 1 4 5 3 1 5 1 0 3 2 2 1 1 2 4 4 5 5 -> 5 5 2 4 1 3 2 3 1 4 5 3 1 5 1 3 0 2 2 1 1 2 4 4 5 5 , 5 2 4 3 0 5 3 4 5 2 5 3 2 1 5 0 5 2 2 0 4 5 0 2 0 5 3 -> 5 2 4 3 0 5 3 4 5 2 5 3 2 1 5 0 5 2 0 2 4 5 0 2 0 5 3 , 2 0 1 2 0 4 0 0 2 0 3 0 2 3 1 3 3 4 1 3 0 1 5 0 1 3 3 3 2 -> 2 0 1 2 0 4 0 0 2 0 3 0 2 3 1 3 3 1 4 3 0 1 5 0 1 3 3 3 2 , 0 1 1 2 4 1 1 5 5 5 1 1 3 1 2 1 4 3 3 1 2 5 4 3 5 3 3 3 2 -> 0 1 2 1 4 1 1 5 5 5 1 1 3 2 1 1 4 3 3 1 2 5 4 3 5 3 3 3 2 , 1 1 2 1 5 1 1 5 1 3 5 1 4 4 2 5 0 5 4 2 5 1 0 4 4 0 0 1 2 -> 1 1 2 5 1 1 1 5 1 3 5 1 4 4 2 0 5 5 4 2 5 1 0 4 4 0 0 1 2 , 3 0 0 3 5 2 5 1 0 1 3 4 3 4 4 5 5 2 5 5 2 4 2 2 5 0 5 2 4 3 -> 3 0 0 3 5 2 5 1 0 1 4 3 3 4 4 5 5 2 5 5 2 4 2 2 5 0 5 2 4 3 , 0 5 1 2 2 3 3 0 0 5 0 1 3 4 3 4 5 1 5 3 0 2 4 1 3 0 2 0 4 1 -> 0 5 1 2 2 3 3 0 0 5 0 1 3 4 3 4 5 1 5 0 3 2 4 1 3 0 2 0 4 1 , 0 1 4 4 5 0 1 5 2 5 5 3 4 3 5 5 1 3 0 4 1 2 0 3 0 1 5 4 2 5 -> 0 1 4 4 5 0 1 5 2 5 5 3 4 3 5 5 1 3 0 4 1 2 0 3 0 1 4 5 2 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 23-rule system { 0 1 1 2 2 1 3 4 0 -> 0 1 2 1 1 4 2 3 0 , 1 4 4 2 1 1 4 0 1 0 0 5 -> 1 4 2 4 1 1 4 0 1 0 0 5 , 0 1 1 1 1 5 5 5 4 4 0 2 3 -> 0 1 1 1 1 5 5 4 5 4 0 2 3 , 1 1 3 0 4 2 3 1 2 0 3 5 5 -> 1 1 3 4 0 2 3 1 2 0 3 5 5 , 5 5 1 2 4 3 2 3 2 5 4 5 5 -> 5 5 1 2 4 3 3 2 4 2 5 5 5 , 0 2 4 5 2 3 0 0 3 2 2 1 0 4 1 -> 0 2 4 5 2 3 0 0 2 3 2 1 0 4 1 , 5 3 2 5 1 1 5 0 5 3 0 2 3 0 5 -> 5 3 2 5 1 1 0 5 5 3 0 2 3 0 5 , 0 3 4 3 0 0 4 1 3 0 4 5 0 3 0 4 -> 0 3 4 3 0 0 4 1 0 3 4 5 0 3 0 4 , 5 0 1 5 0 2 3 4 5 3 4 0 1 1 1 2 0 3 5 -> 5 0 1 5 0 2 3 4 5 3 4 1 0 1 1 2 0 3 5 , 0 2 1 3 3 5 5 2 3 4 1 0 5 4 5 3 5 1 0 3 -> 0 2 1 3 3 5 5 2 3 4 0 1 5 4 5 3 5 1 0 3 , 0 0 3 1 2 5 0 2 3 0 2 1 0 5 1 5 0 0 3 5 -> 0 0 3 1 5 2 0 2 3 0 2 1 0 5 1 5 0 0 3 5 , 0 1 0 0 1 1 3 3 5 0 1 4 1 2 1 1 3 4 5 3 0 1 -> 0 1 0 0 1 1 3 3 5 0 1 1 4 2 1 1 3 4 5 3 0 1 , 0 0 1 0 5 4 2 4 1 2 4 5 1 5 4 4 2 2 2 1 5 0 2 -> 0 0 1 0 5 4 2 4 1 2 4 5 5 1 4 4 2 2 2 1 5 0 2 , 0 2 0 0 4 2 1 3 5 0 1 2 5 5 2 3 4 2 2 0 0 3 0 2 3 -> 0 2 0 0 4 2 1 3 0 5 5 2 5 1 2 4 3 2 0 2 0 3 3 2 0 , 3 5 2 3 1 3 2 2 3 0 0 0 3 0 0 4 2 4 1 3 1 2 1 4 5 -> 5 3 2 3 1 3 2 3 2 0 0 0 0 3 0 2 4 1 4 3 1 2 1 4 5 , 5 5 2 4 1 3 2 3 1 4 5 3 1 5 1 0 3 2 2 1 1 2 4 4 5 5 -> 5 5 2 4 1 3 2 3 1 4 5 3 1 5 1 3 0 2 2 1 1 2 4 4 5 5 , 5 2 4 3 0 5 3 4 5 2 5 3 2 1 5 0 5 2 2 0 4 5 0 2 0 5 3 -> 5 2 4 3 0 5 3 4 5 2 5 3 2 1 5 0 5 2 0 2 4 5 0 2 0 5 3 , 2 0 1 2 0 4 0 0 2 0 3 0 2 3 1 3 3 4 1 3 0 1 5 0 1 3 3 3 2 -> 2 0 1 2 0 4 0 0 2 0 3 0 2 3 1 3 3 1 4 3 0 1 5 0 1 3 3 3 2 , 0 1 1 2 4 1 1 5 5 5 1 1 3 1 2 1 4 3 3 1 2 5 4 3 5 3 3 3 2 -> 0 1 2 1 4 1 1 5 5 5 1 1 3 2 1 1 4 3 3 1 2 5 4 3 5 3 3 3 2 , 1 1 2 1 5 1 1 5 1 3 5 1 4 4 2 5 0 5 4 2 5 1 0 4 4 0 0 1 2 -> 1 1 2 5 1 1 1 5 1 3 5 1 4 4 2 0 5 5 4 2 5 1 0 4 4 0 0 1 2 , 3 0 0 3 5 2 5 1 0 1 3 4 3 4 4 5 5 2 5 5 2 4 2 2 5 0 5 2 4 3 -> 3 0 0 3 5 2 5 1 0 1 4 3 3 4 4 5 5 2 5 5 2 4 2 2 5 0 5 2 4 3 , 0 5 1 2 2 3 3 0 0 5 0 1 3 4 3 4 5 1 5 3 0 2 4 1 3 0 2 0 4 1 -> 0 5 1 2 2 3 3 0 0 5 0 1 3 4 3 4 5 1 5 0 3 2 4 1 3 0 2 0 4 1 , 0 1 4 4 5 0 1 5 2 5 5 3 4 3 5 5 1 3 0 4 1 2 0 3 0 1 5 4 2 5 -> 0 1 4 4 5 0 1 5 2 5 5 3 4 3 5 5 1 3 0 4 1 2 0 3 0 1 4 5 2 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 10: 0 is interpreted by / \ | 1 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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 { 1->0, 4->1, 2->2, 0->3, 5->4, 3->5 }, it remains to prove termination of the 22-rule system { 0 1 1 2 0 0 1 3 0 3 3 4 -> 0 1 2 1 0 0 1 3 0 3 3 4 , 3 0 0 0 0 4 4 4 1 1 3 2 5 -> 3 0 0 0 0 4 4 1 4 1 3 2 5 , 0 0 5 3 1 2 5 0 2 3 5 4 4 -> 0 0 5 1 3 2 5 0 2 3 5 4 4 , 4 4 0 2 1 5 2 5 2 4 1 4 4 -> 4 4 0 2 1 5 5 2 1 2 4 4 4 , 3 2 1 4 2 5 3 3 5 2 2 0 3 1 0 -> 3 2 1 4 2 5 3 3 2 5 2 0 3 1 0 , 4 5 2 4 0 0 4 3 4 5 3 2 5 3 4 -> 4 5 2 4 0 0 3 4 4 5 3 2 5 3 4 , 3 5 1 5 3 3 1 0 5 3 1 4 3 5 3 1 -> 3 5 1 5 3 3 1 0 3 5 1 4 3 5 3 1 , 4 3 0 4 3 2 5 1 4 5 1 3 0 0 0 2 3 5 4 -> 4 3 0 4 3 2 5 1 4 5 1 0 3 0 0 2 3 5 4 , 3 2 0 5 5 4 4 2 5 1 0 3 4 1 4 5 4 0 3 5 -> 3 2 0 5 5 4 4 2 5 1 3 0 4 1 4 5 4 0 3 5 , 3 3 5 0 2 4 3 2 5 3 2 0 3 4 0 4 3 3 5 4 -> 3 3 5 0 4 2 3 2 5 3 2 0 3 4 0 4 3 3 5 4 , 3 0 3 3 0 0 5 5 4 3 0 1 0 2 0 0 5 1 4 5 3 0 -> 3 0 3 3 0 0 5 5 4 3 0 0 1 2 0 0 5 1 4 5 3 0 , 3 3 0 3 4 1 2 1 0 2 1 4 0 4 1 1 2 2 2 0 4 3 2 -> 3 3 0 3 4 1 2 1 0 2 1 4 4 0 1 1 2 2 2 0 4 3 2 , 3 2 3 3 1 2 0 5 4 3 0 2 4 4 2 5 1 2 2 3 3 5 3 2 5 -> 3 2 3 3 1 2 0 5 3 4 4 2 4 0 2 1 5 2 3 2 3 5 5 2 3 , 5 4 2 5 0 5 2 2 5 3 3 3 5 3 3 1 2 1 0 5 0 2 0 1 4 -> 4 5 2 5 0 5 2 5 2 3 3 3 3 5 3 2 1 0 1 5 0 2 0 1 4 , 4 4 2 1 0 5 2 5 0 1 4 5 0 4 0 3 5 2 2 0 0 2 1 1 4 4 -> 4 4 2 1 0 5 2 5 0 1 4 5 0 4 0 5 3 2 2 0 0 2 1 1 4 4 , 4 2 1 5 3 4 5 1 4 2 4 5 2 0 4 3 4 2 2 3 1 4 3 2 3 4 5 -> 4 2 1 5 3 4 5 1 4 2 4 5 2 0 4 3 4 2 3 2 1 4 3 2 3 4 5 , 2 3 0 2 3 1 3 3 2 3 5 3 2 5 0 5 5 1 0 5 3 0 4 3 0 5 5 5 2 -> 2 3 0 2 3 1 3 3 2 3 5 3 2 5 0 5 5 0 1 5 3 0 4 3 0 5 5 5 2 , 3 0 0 2 1 0 0 4 4 4 0 0 5 0 2 0 1 5 5 0 2 4 1 5 4 5 5 5 2 -> 3 0 2 0 1 0 0 4 4 4 0 0 5 2 0 0 1 5 5 0 2 4 1 5 4 5 5 5 2 , 0 0 2 0 4 0 0 4 0 5 4 0 1 1 2 4 3 4 1 2 4 0 3 1 1 3 3 0 2 -> 0 0 2 4 0 0 0 4 0 5 4 0 1 1 2 3 4 4 1 2 4 0 3 1 1 3 3 0 2 , 5 3 3 5 4 2 4 0 3 0 5 1 5 1 1 4 4 2 4 4 2 1 2 2 4 3 4 2 1 5 -> 5 3 3 5 4 2 4 0 3 0 1 5 5 1 1 4 4 2 4 4 2 1 2 2 4 3 4 2 1 5 , 3 4 0 2 2 5 5 3 3 4 3 0 5 1 5 1 4 0 4 5 3 2 1 0 5 3 2 3 1 0 -> 3 4 0 2 2 5 5 3 3 4 3 0 5 1 5 1 4 0 4 3 5 2 1 0 5 3 2 3 1 0 , 3 0 1 1 4 3 0 4 2 4 4 5 1 5 4 4 0 5 3 1 0 2 3 5 3 0 4 1 2 4 -> 3 0 1 1 4 3 0 4 2 4 4 5 1 5 4 4 0 5 3 1 0 2 3 5 3 0 1 4 2 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 31: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 21-rule system { 0 1 1 2 0 0 1 3 0 3 3 4 -> 0 1 2 1 0 0 1 3 0 3 3 4 , 3 0 0 0 0 4 4 4 1 1 3 2 5 -> 3 0 0 0 0 4 4 1 4 1 3 2 5 , 0 0 5 3 1 2 5 0 2 3 5 4 4 -> 0 0 5 1 3 2 5 0 2 3 5 4 4 , 4 4 0 2 1 5 2 5 2 4 1 4 4 -> 4 4 0 2 1 5 5 2 1 2 4 4 4 , 3 2 1 4 2 5 3 3 5 2 2 0 3 1 0 -> 3 2 1 4 2 5 3 3 2 5 2 0 3 1 0 , 4 5 2 4 0 0 4 3 4 5 3 2 5 3 4 -> 4 5 2 4 0 0 3 4 4 5 3 2 5 3 4 , 3 5 1 5 3 3 1 0 5 3 1 4 3 5 3 1 -> 3 5 1 5 3 3 1 0 3 5 1 4 3 5 3 1 , 4 3 0 4 3 2 5 1 4 5 1 3 0 0 0 2 3 5 4 -> 4 3 0 4 3 2 5 1 4 5 1 0 3 0 0 2 3 5 4 , 3 2 0 5 5 4 4 2 5 1 0 3 4 1 4 5 4 0 3 5 -> 3 2 0 5 5 4 4 2 5 1 3 0 4 1 4 5 4 0 3 5 , 3 3 5 0 2 4 3 2 5 3 2 0 3 4 0 4 3 3 5 4 -> 3 3 5 0 4 2 3 2 5 3 2 0 3 4 0 4 3 3 5 4 , 3 0 3 3 0 0 5 5 4 3 0 1 0 2 0 0 5 1 4 5 3 0 -> 3 0 3 3 0 0 5 5 4 3 0 0 1 2 0 0 5 1 4 5 3 0 , 3 3 0 3 4 1 2 1 0 2 1 4 0 4 1 1 2 2 2 0 4 3 2 -> 3 3 0 3 4 1 2 1 0 2 1 4 4 0 1 1 2 2 2 0 4 3 2 , 3 2 3 3 1 2 0 5 4 3 0 2 4 4 2 5 1 2 2 3 3 5 3 2 5 -> 3 2 3 3 1 2 0 5 3 4 4 2 4 0 2 1 5 2 3 2 3 5 5 2 3 , 5 4 2 5 0 5 2 2 5 3 3 3 5 3 3 1 2 1 0 5 0 2 0 1 4 -> 4 5 2 5 0 5 2 5 2 3 3 3 3 5 3 2 1 0 1 5 0 2 0 1 4 , 4 4 2 1 0 5 2 5 0 1 4 5 0 4 0 3 5 2 2 0 0 2 1 1 4 4 -> 4 4 2 1 0 5 2 5 0 1 4 5 0 4 0 5 3 2 2 0 0 2 1 1 4 4 , 4 2 1 5 3 4 5 1 4 2 4 5 2 0 4 3 4 2 2 3 1 4 3 2 3 4 5 -> 4 2 1 5 3 4 5 1 4 2 4 5 2 0 4 3 4 2 3 2 1 4 3 2 3 4 5 , 2 3 0 2 3 1 3 3 2 3 5 3 2 5 0 5 5 1 0 5 3 0 4 3 0 5 5 5 2 -> 2 3 0 2 3 1 3 3 2 3 5 3 2 5 0 5 5 0 1 5 3 0 4 3 0 5 5 5 2 , 3 0 0 2 1 0 0 4 4 4 0 0 5 0 2 0 1 5 5 0 2 4 1 5 4 5 5 5 2 -> 3 0 2 0 1 0 0 4 4 4 0 0 5 2 0 0 1 5 5 0 2 4 1 5 4 5 5 5 2 , 0 0 2 0 4 0 0 4 0 5 4 0 1 1 2 4 3 4 1 2 4 0 3 1 1 3 3 0 2 -> 0 0 2 4 0 0 0 4 0 5 4 0 1 1 2 3 4 4 1 2 4 0 3 1 1 3 3 0 2 , 3 4 0 2 2 5 5 3 3 4 3 0 5 1 5 1 4 0 4 5 3 2 1 0 5 3 2 3 1 0 -> 3 4 0 2 2 5 5 3 3 4 3 0 5 1 5 1 4 0 4 3 5 2 1 0 5 3 2 3 1 0 , 3 0 1 1 4 3 0 4 2 4 4 5 1 5 4 4 0 5 3 1 0 2 3 5 3 0 4 1 2 4 -> 3 0 1 1 4 3 0 4 2 4 4 5 1 5 4 4 0 5 3 1 0 2 3 5 3 0 1 4 2 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 13: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 3->0, 0->1, 4->2, 1->3, 2->4, 5->5 }, it remains to prove termination of the 20-rule system { 0 1 1 1 1 2 2 2 3 3 0 4 5 -> 0 1 1 1 1 2 2 3 2 3 0 4 5 , 1 1 5 0 3 4 5 1 4 0 5 2 2 -> 1 1 5 3 0 4 5 1 4 0 5 2 2 , 2 2 1 4 3 5 4 5 4 2 3 2 2 -> 2 2 1 4 3 5 5 4 3 4 2 2 2 , 0 4 3 2 4 5 0 0 5 4 4 1 0 3 1 -> 0 4 3 2 4 5 0 0 4 5 4 1 0 3 1 , 2 5 4 2 1 1 2 0 2 5 0 4 5 0 2 -> 2 5 4 2 1 1 0 2 2 5 0 4 5 0 2 , 0 5 3 5 0 0 3 1 5 0 3 2 0 5 0 3 -> 0 5 3 5 0 0 3 1 0 5 3 2 0 5 0 3 , 2 0 1 2 0 4 5 3 2 5 3 0 1 1 1 4 0 5 2 -> 2 0 1 2 0 4 5 3 2 5 3 1 0 1 1 4 0 5 2 , 0 4 1 5 5 2 2 4 5 3 1 0 2 3 2 5 2 1 0 5 -> 0 4 1 5 5 2 2 4 5 3 0 1 2 3 2 5 2 1 0 5 , 0 0 5 1 4 2 0 4 5 0 4 1 0 2 1 2 0 0 5 2 -> 0 0 5 1 2 4 0 4 5 0 4 1 0 2 1 2 0 0 5 2 , 0 1 0 0 1 1 5 5 2 0 1 3 1 4 1 1 5 3 2 5 0 1 -> 0 1 0 0 1 1 5 5 2 0 1 1 3 4 1 1 5 3 2 5 0 1 , 0 0 1 0 2 3 4 3 1 4 3 2 1 2 3 3 4 4 4 1 2 0 4 -> 0 0 1 0 2 3 4 3 1 4 3 2 2 1 3 3 4 4 4 1 2 0 4 , 0 4 0 0 3 4 1 5 2 0 1 4 2 2 4 5 3 4 4 0 0 5 0 4 5 -> 0 4 0 0 3 4 1 5 0 2 2 4 2 1 4 3 5 4 0 4 0 5 5 4 0 , 5 2 4 5 1 5 4 4 5 0 0 0 5 0 0 3 4 3 1 5 1 4 1 3 2 -> 2 5 4 5 1 5 4 5 4 0 0 0 0 5 0 4 3 1 3 5 1 4 1 3 2 , 2 2 4 3 1 5 4 5 1 3 2 5 1 2 1 0 5 4 4 1 1 4 3 3 2 2 -> 2 2 4 3 1 5 4 5 1 3 2 5 1 2 1 5 0 4 4 1 1 4 3 3 2 2 , 2 4 3 5 0 2 5 3 2 4 2 5 4 1 2 0 2 4 4 0 3 2 0 4 0 2 5 -> 2 4 3 5 0 2 5 3 2 4 2 5 4 1 2 0 2 4 0 4 3 2 0 4 0 2 5 , 4 0 1 4 0 3 0 0 4 0 5 0 4 5 1 5 5 3 1 5 0 1 2 0 1 5 5 5 4 -> 4 0 1 4 0 3 0 0 4 0 5 0 4 5 1 5 5 1 3 5 0 1 2 0 1 5 5 5 4 , 0 1 1 4 3 1 1 2 2 2 1 1 5 1 4 1 3 5 5 1 4 2 3 5 2 5 5 5 4 -> 0 1 4 1 3 1 1 2 2 2 1 1 5 4 1 1 3 5 5 1 4 2 3 5 2 5 5 5 4 , 1 1 4 1 2 1 1 2 1 5 2 1 3 3 4 2 0 2 3 4 2 1 0 3 3 0 0 1 4 -> 1 1 4 2 1 1 1 2 1 5 2 1 3 3 4 0 2 2 3 4 2 1 0 3 3 0 0 1 4 , 0 2 1 4 4 5 5 0 0 2 0 1 5 3 5 3 2 1 2 5 0 4 3 1 5 0 4 0 3 1 -> 0 2 1 4 4 5 5 0 0 2 0 1 5 3 5 3 2 1 2 0 5 4 3 1 5 0 4 0 3 1 , 0 1 3 3 2 0 1 2 4 2 2 5 3 5 2 2 1 5 0 3 1 4 0 5 0 1 2 3 4 2 -> 0 1 3 3 2 0 1 2 4 2 2 5 3 5 2 2 1 5 0 3 1 4 0 5 0 1 3 2 4 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 14: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 1->0, 5->1, 0->2, 3->3, 4->4, 2->5 }, it remains to prove termination of the 19-rule system { 0 0 1 2 3 4 1 0 4 2 1 5 5 -> 0 0 1 3 2 4 1 0 4 2 1 5 5 , 5 5 0 4 3 1 4 1 4 5 3 5 5 -> 5 5 0 4 3 1 1 4 3 4 5 5 5 , 2 4 3 5 4 1 2 2 1 4 4 0 2 3 0 -> 2 4 3 5 4 1 2 2 4 1 4 0 2 3 0 , 5 1 4 5 0 0 5 2 5 1 2 4 1 2 5 -> 5 1 4 5 0 0 2 5 5 1 2 4 1 2 5 , 2 1 3 1 2 2 3 0 1 2 3 5 2 1 2 3 -> 2 1 3 1 2 2 3 0 2 1 3 5 2 1 2 3 , 5 2 0 5 2 4 1 3 5 1 3 2 0 0 0 4 2 1 5 -> 5 2 0 5 2 4 1 3 5 1 3 0 2 0 0 4 2 1 5 , 2 4 0 1 1 5 5 4 1 3 0 2 5 3 5 1 5 0 2 1 -> 2 4 0 1 1 5 5 4 1 3 2 0 5 3 5 1 5 0 2 1 , 2 2 1 0 4 5 2 4 1 2 4 0 2 5 0 5 2 2 1 5 -> 2 2 1 0 5 4 2 4 1 2 4 0 2 5 0 5 2 2 1 5 , 2 0 2 2 0 0 1 1 5 2 0 3 0 4 0 0 1 3 5 1 2 0 -> 2 0 2 2 0 0 1 1 5 2 0 0 3 4 0 0 1 3 5 1 2 0 , 2 2 0 2 5 3 4 3 0 4 3 5 0 5 3 3 4 4 4 0 5 2 4 -> 2 2 0 2 5 3 4 3 0 4 3 5 5 0 3 3 4 4 4 0 5 2 4 , 2 4 2 2 3 4 0 1 5 2 0 4 5 5 4 1 3 4 4 2 2 1 2 4 1 -> 2 4 2 2 3 4 0 1 2 5 5 4 5 0 4 3 1 4 2 4 2 1 1 4 2 , 1 5 4 1 0 1 4 4 1 2 2 2 1 2 2 3 4 3 0 1 0 4 0 3 5 -> 5 1 4 1 0 1 4 1 4 2 2 2 2 1 2 4 3 0 3 1 0 4 0 3 5 , 5 5 4 3 0 1 4 1 0 3 5 1 0 5 0 2 1 4 4 0 0 4 3 3 5 5 -> 5 5 4 3 0 1 4 1 0 3 5 1 0 5 0 1 2 4 4 0 0 4 3 3 5 5 , 5 4 3 1 2 5 1 3 5 4 5 1 4 0 5 2 5 4 4 2 3 5 2 4 2 5 1 -> 5 4 3 1 2 5 1 3 5 4 5 1 4 0 5 2 5 4 2 4 3 5 2 4 2 5 1 , 4 2 0 4 2 3 2 2 4 2 1 2 4 1 0 1 1 3 0 1 2 0 5 2 0 1 1 1 4 -> 4 2 0 4 2 3 2 2 4 2 1 2 4 1 0 1 1 0 3 1 2 0 5 2 0 1 1 1 4 , 2 0 0 4 3 0 0 5 5 5 0 0 1 0 4 0 3 1 1 0 4 5 3 1 5 1 1 1 4 -> 2 0 4 0 3 0 0 5 5 5 0 0 1 4 0 0 3 1 1 0 4 5 3 1 5 1 1 1 4 , 0 0 4 0 5 0 0 5 0 1 5 0 3 3 4 5 2 5 3 4 5 0 2 3 3 2 2 0 4 -> 0 0 4 5 0 0 0 5 0 1 5 0 3 3 4 2 5 5 3 4 5 0 2 3 3 2 2 0 4 , 2 5 0 4 4 1 1 2 2 5 2 0 1 3 1 3 5 0 5 1 2 4 3 0 1 2 4 2 3 0 -> 2 5 0 4 4 1 1 2 2 5 2 0 1 3 1 3 5 0 5 2 1 4 3 0 1 2 4 2 3 0 , 2 0 3 3 5 2 0 5 4 5 5 1 3 1 5 5 0 1 2 3 0 4 2 1 2 0 5 3 4 5 -> 2 0 3 3 5 2 0 5 4 5 5 1 3 1 5 5 0 1 2 3 0 4 2 1 2 0 3 5 4 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 14: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 5->0, 0->1, 4->2, 3->3, 1->4, 2->5 }, it remains to prove termination of the 18-rule system { 0 0 1 2 3 4 2 4 2 0 3 0 0 -> 0 0 1 2 3 4 4 2 3 2 0 0 0 , 5 2 3 0 2 4 5 5 4 2 2 1 5 3 1 -> 5 2 3 0 2 4 5 5 2 4 2 1 5 3 1 , 0 4 2 0 1 1 0 5 0 4 5 2 4 5 0 -> 0 4 2 0 1 1 5 0 0 4 5 2 4 5 0 , 5 4 3 4 5 5 3 1 4 5 3 0 5 4 5 3 -> 5 4 3 4 5 5 3 1 5 4 3 0 5 4 5 3 , 0 5 1 0 5 2 4 3 0 4 3 5 1 1 1 2 5 4 0 -> 0 5 1 0 5 2 4 3 0 4 3 1 5 1 1 2 5 4 0 , 5 2 1 4 4 0 0 2 4 3 1 5 0 3 0 4 0 1 5 4 -> 5 2 1 4 4 0 0 2 4 3 5 1 0 3 0 4 0 1 5 4 , 5 5 4 1 2 0 5 2 4 5 2 1 5 0 1 0 5 5 4 0 -> 5 5 4 1 0 2 5 2 4 5 2 1 5 0 1 0 5 5 4 0 , 5 1 5 5 1 1 4 4 0 5 1 3 1 2 1 1 4 3 0 4 5 1 -> 5 1 5 5 1 1 4 4 0 5 1 1 3 2 1 1 4 3 0 4 5 1 , 5 5 1 5 0 3 2 3 1 2 3 0 1 0 3 3 2 2 2 1 0 5 2 -> 5 5 1 5 0 3 2 3 1 2 3 0 0 1 3 3 2 2 2 1 0 5 2 , 5 2 5 5 3 2 1 4 0 5 1 2 0 0 2 4 3 2 2 5 5 4 5 2 4 -> 5 2 5 5 3 2 1 4 5 0 0 2 0 1 2 3 4 2 5 2 5 4 4 2 5 , 4 0 2 4 1 4 2 2 4 5 5 5 4 5 5 3 2 3 1 4 1 2 1 3 0 -> 0 4 2 4 1 4 2 4 2 5 5 5 5 4 5 2 3 1 3 4 1 2 1 3 0 , 0 0 2 3 1 4 2 4 1 3 0 4 1 0 1 5 4 2 2 1 1 2 3 3 0 0 -> 0 0 2 3 1 4 2 4 1 3 0 4 1 0 1 4 5 2 2 1 1 2 3 3 0 0 , 0 2 3 4 5 0 4 3 0 2 0 4 2 1 0 5 0 2 2 5 3 0 5 2 5 0 4 -> 0 2 3 4 5 0 4 3 0 2 0 4 2 1 0 5 0 2 5 2 3 0 5 2 5 0 4 , 2 5 1 2 5 3 5 5 2 5 4 5 2 4 1 4 4 3 1 4 5 1 0 5 1 4 4 4 2 -> 2 5 1 2 5 3 5 5 2 5 4 5 2 4 1 4 4 1 3 4 5 1 0 5 1 4 4 4 2 , 5 1 1 2 3 1 1 0 0 0 1 1 4 1 2 1 3 4 4 1 2 0 3 4 0 4 4 4 2 -> 5 1 2 1 3 1 1 0 0 0 1 1 4 2 1 1 3 4 4 1 2 0 3 4 0 4 4 4 2 , 1 1 2 1 0 1 1 0 1 4 0 1 3 3 2 0 5 0 3 2 0 1 5 3 3 5 5 1 2 -> 1 1 2 0 1 1 1 0 1 4 0 1 3 3 2 5 0 0 3 2 0 1 5 3 3 5 5 1 2 , 5 0 1 2 2 4 4 5 5 0 5 1 4 3 4 3 0 1 0 4 5 2 3 1 4 5 2 5 3 1 -> 5 0 1 2 2 4 4 5 5 0 5 1 4 3 4 3 0 1 0 5 4 2 3 1 4 5 2 5 3 1 , 5 1 3 3 0 5 1 0 2 0 0 4 3 4 0 0 1 4 5 3 1 2 5 4 5 1 0 3 2 0 -> 5 1 3 3 0 5 1 0 2 0 0 4 3 4 0 0 1 4 5 3 1 2 5 4 5 1 3 0 2 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 14: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 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 { 5->0, 2->1, 3->2, 0->3, 4->4, 1->5 }, it remains to prove termination of the 17-rule system { 0 1 2 3 1 4 0 0 4 1 1 5 0 2 5 -> 0 1 2 3 1 4 0 0 1 4 1 5 0 2 5 , 3 4 1 3 5 5 3 0 3 4 0 1 4 0 3 -> 3 4 1 3 5 5 0 3 3 4 0 1 4 0 3 , 0 4 2 4 0 0 2 5 4 0 2 3 0 4 0 2 -> 0 4 2 4 0 0 2 5 0 4 2 3 0 4 0 2 , 3 0 5 3 0 1 4 2 3 4 2 0 5 5 5 1 0 4 3 -> 3 0 5 3 0 1 4 2 3 4 2 5 0 5 5 1 0 4 3 , 0 1 5 4 4 3 3 1 4 2 5 0 3 2 3 4 3 5 0 4 -> 0 1 5 4 4 3 3 1 4 2 0 5 3 2 3 4 3 5 0 4 , 0 0 4 5 1 3 0 1 4 0 1 5 0 3 5 3 0 0 4 3 -> 0 0 4 5 3 1 0 1 4 0 1 5 0 3 5 3 0 0 4 3 , 0 5 0 0 5 5 4 4 3 0 5 2 5 1 5 5 4 2 3 4 0 5 -> 0 5 0 0 5 5 4 4 3 0 5 5 2 1 5 5 4 2 3 4 0 5 , 0 0 5 0 3 2 1 2 5 1 2 3 5 3 2 2 1 1 1 5 3 0 1 -> 0 0 5 0 3 2 1 2 5 1 2 3 3 5 2 2 1 1 1 5 3 0 1 , 0 1 0 0 2 1 5 4 3 0 5 1 3 3 1 4 2 1 1 0 0 4 0 1 4 -> 0 1 0 0 2 1 5 4 0 3 3 1 3 5 1 2 4 1 0 1 0 4 4 1 0 , 4 3 1 4 5 4 1 1 4 0 0 0 4 0 0 2 1 2 5 4 5 1 5 2 3 -> 3 4 1 4 5 4 1 4 1 0 0 0 0 4 0 1 2 5 2 4 5 1 5 2 3 , 3 3 1 2 5 4 1 4 5 2 3 4 5 3 5 0 4 1 1 5 5 1 2 2 3 3 -> 3 3 1 2 5 4 1 4 5 2 3 4 5 3 5 4 0 1 1 5 5 1 2 2 3 3 , 3 1 2 4 0 3 4 2 3 1 3 4 1 5 3 0 3 1 1 0 2 3 0 1 0 3 4 -> 3 1 2 4 0 3 4 2 3 1 3 4 1 5 3 0 3 1 0 1 2 3 0 1 0 3 4 , 1 0 5 1 0 2 0 0 1 0 4 0 1 4 5 4 4 2 5 4 0 5 3 0 5 4 4 4 1 -> 1 0 5 1 0 2 0 0 1 0 4 0 1 4 5 4 4 5 2 4 0 5 3 0 5 4 4 4 1 , 0 5 5 1 2 5 5 3 3 3 5 5 4 5 1 5 2 4 4 5 1 3 2 4 3 4 4 4 1 -> 0 5 1 5 2 5 5 3 3 3 5 5 4 1 5 5 2 4 4 5 1 3 2 4 3 4 4 4 1 , 5 5 1 5 3 5 5 3 5 4 3 5 2 2 1 3 0 3 2 1 3 5 0 2 2 0 0 5 1 -> 5 5 1 3 5 5 5 3 5 4 3 5 2 2 1 0 3 3 2 1 3 5 0 2 2 0 0 5 1 , 0 3 5 1 1 4 4 0 0 3 0 5 4 2 4 2 3 5 3 4 0 1 2 5 4 0 1 0 2 5 -> 0 3 5 1 1 4 4 0 0 3 0 5 4 2 4 2 3 5 3 0 4 1 2 5 4 0 1 0 2 5 , 0 5 2 2 3 0 5 3 1 3 3 4 2 4 3 3 5 4 0 2 5 1 0 4 0 5 3 2 1 3 -> 0 5 2 2 3 0 5 3 1 3 3 4 2 4 3 3 5 4 0 2 5 1 0 4 0 5 2 3 1 3 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 16: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 3->0, 4->1, 1->2, 5->3, 0->4, 2->5 }, it remains to prove termination of the 16-rule system { 0 1 2 0 3 3 0 4 0 1 4 2 1 4 0 -> 0 1 2 0 3 3 4 0 0 1 4 2 1 4 0 , 4 1 5 1 4 4 5 3 1 4 5 0 4 1 4 5 -> 4 1 5 1 4 4 5 3 4 1 5 0 4 1 4 5 , 0 4 3 0 4 2 1 5 0 1 5 4 3 3 3 2 4 1 0 -> 0 4 3 0 4 2 1 5 0 1 5 3 4 3 3 2 4 1 0 , 4 2 3 1 1 0 0 2 1 5 3 4 0 5 0 1 0 3 4 1 -> 4 2 3 1 1 0 0 2 1 5 4 3 0 5 0 1 0 3 4 1 , 4 4 1 3 2 0 4 2 1 4 2 3 4 0 3 0 4 4 1 0 -> 4 4 1 3 0 2 4 2 1 4 2 3 4 0 3 0 4 4 1 0 , 4 3 4 4 3 3 1 1 0 4 3 5 3 2 3 3 1 5 0 1 4 3 -> 4 3 4 4 3 3 1 1 0 4 3 3 5 2 3 3 1 5 0 1 4 3 , 4 4 3 4 0 5 2 5 3 2 5 0 3 0 5 5 2 2 2 3 0 4 2 -> 4 4 3 4 0 5 2 5 3 2 5 0 0 3 5 5 2 2 2 3 0 4 2 , 4 2 4 4 5 2 3 1 0 4 3 2 0 0 2 1 5 2 2 4 4 1 4 2 1 -> 4 2 4 4 5 2 3 1 4 0 0 2 0 3 2 5 1 2 4 2 4 1 1 2 4 , 1 0 2 1 3 1 2 2 1 4 4 4 1 4 4 5 2 5 3 1 3 2 3 5 0 -> 0 1 2 1 3 1 2 1 2 4 4 4 4 1 4 2 5 3 5 1 3 2 3 5 0 , 0 0 2 5 3 1 2 1 3 5 0 1 3 0 3 4 1 2 2 3 3 2 5 5 0 0 -> 0 0 2 5 3 1 2 1 3 5 0 1 3 0 3 1 4 2 2 3 3 2 5 5 0 0 , 0 2 5 1 4 0 1 5 0 2 0 1 2 3 0 4 0 2 2 4 5 0 4 2 4 0 1 -> 0 2 5 1 4 0 1 5 0 2 0 1 2 3 0 4 0 2 4 2 5 0 4 2 4 0 1 , 2 4 3 2 4 5 4 4 2 4 1 4 2 1 3 1 1 5 3 1 4 3 0 4 3 1 1 1 2 -> 2 4 3 2 4 5 4 4 2 4 1 4 2 1 3 1 1 3 5 1 4 3 0 4 3 1 1 1 2 , 4 3 3 2 5 3 3 0 0 0 3 3 1 3 2 3 5 1 1 3 2 0 5 1 0 1 1 1 2 -> 4 3 2 3 5 3 3 0 0 0 3 3 1 2 3 3 5 1 1 3 2 0 5 1 0 1 1 1 2 , 3 3 2 3 0 3 3 0 3 1 0 3 5 5 2 0 4 0 5 2 0 3 4 5 5 4 4 3 2 -> 3 3 2 0 3 3 3 0 3 1 0 3 5 5 2 4 0 0 5 2 0 3 4 5 5 4 4 3 2 , 4 0 3 2 2 1 1 4 4 0 4 3 1 5 1 5 0 3 0 1 4 2 5 3 1 4 2 4 5 3 -> 4 0 3 2 2 1 1 4 4 0 4 3 1 5 1 5 0 3 0 4 1 2 5 3 1 4 2 4 5 3 , 4 3 5 5 0 4 3 0 2 0 0 1 5 1 0 0 3 1 4 5 3 2 4 1 4 3 0 5 2 0 -> 4 3 5 5 0 4 3 0 2 0 0 1 5 1 0 0 3 1 4 5 3 2 4 1 4 3 5 0 2 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 16: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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 { 4->0, 1->1, 5->2, 3->3, 0->4, 2->5 }, it remains to prove termination of the 15-rule system { 0 1 2 1 0 0 2 3 1 0 2 4 0 1 0 2 -> 0 1 2 1 0 0 2 3 0 1 2 4 0 1 0 2 , 4 0 3 4 0 5 1 2 4 1 2 0 3 3 3 5 0 1 4 -> 4 0 3 4 0 5 1 2 4 1 2 3 0 3 3 5 0 1 4 , 0 5 3 1 1 4 4 5 1 2 3 0 4 2 4 1 4 3 0 1 -> 0 5 3 1 1 4 4 5 1 2 0 3 4 2 4 1 4 3 0 1 , 0 0 1 3 5 4 0 5 1 0 5 3 0 4 3 4 0 0 1 4 -> 0 0 1 3 4 5 0 5 1 0 5 3 0 4 3 4 0 0 1 4 , 0 3 0 0 3 3 1 1 4 0 3 2 3 5 3 3 1 2 4 1 0 3 -> 0 3 0 0 3 3 1 1 4 0 3 3 2 5 3 3 1 2 4 1 0 3 , 0 0 3 0 4 2 5 2 3 5 2 4 3 4 2 2 5 5 5 3 4 0 5 -> 0 0 3 0 4 2 5 2 3 5 2 4 4 3 2 2 5 5 5 3 4 0 5 , 0 5 0 0 2 5 3 1 4 0 3 5 4 4 5 1 2 5 5 0 0 1 0 5 1 -> 0 5 0 0 2 5 3 1 0 4 4 5 4 3 5 2 1 5 0 5 0 1 1 5 0 , 1 4 5 1 3 1 5 5 1 0 0 0 1 0 0 2 5 2 3 1 3 5 3 2 4 -> 4 1 5 1 3 1 5 1 5 0 0 0 0 1 0 5 2 3 2 1 3 5 3 2 4 , 4 4 5 2 3 1 5 1 3 2 4 1 3 4 3 0 1 5 5 3 3 5 2 2 4 4 -> 4 4 5 2 3 1 5 1 3 2 4 1 3 4 3 1 0 5 5 3 3 5 2 2 4 4 , 4 5 2 1 0 4 1 2 4 5 4 1 5 3 4 0 4 5 5 0 2 4 0 5 0 4 1 -> 4 5 2 1 0 4 1 2 4 5 4 1 5 3 4 0 4 5 0 5 2 4 0 5 0 4 1 , 5 0 3 5 0 2 0 0 5 0 1 0 5 1 3 1 1 2 3 1 0 3 4 0 3 1 1 1 5 -> 5 0 3 5 0 2 0 0 5 0 1 0 5 1 3 1 1 3 2 1 0 3 4 0 3 1 1 1 5 , 0 3 3 5 2 3 3 4 4 4 3 3 1 3 5 3 2 1 1 3 5 4 2 1 4 1 1 1 5 -> 0 3 5 3 2 3 3 4 4 4 3 3 1 5 3 3 2 1 1 3 5 4 2 1 4 1 1 1 5 , 3 3 5 3 4 3 3 4 3 1 4 3 2 2 5 4 0 4 2 5 4 3 0 2 2 0 0 3 5 -> 3 3 5 4 3 3 3 4 3 1 4 3 2 2 5 0 4 4 2 5 4 3 0 2 2 0 0 3 5 , 0 4 3 5 5 1 1 0 0 4 0 3 1 2 1 2 4 3 4 1 0 5 2 3 1 0 5 0 2 3 -> 0 4 3 5 5 1 1 0 0 4 0 3 1 2 1 2 4 3 4 0 1 5 2 3 1 0 5 0 2 3 , 0 3 2 2 4 0 3 4 5 4 4 1 2 1 4 4 3 1 0 2 3 5 0 1 0 3 4 2 5 4 -> 0 3 2 2 4 0 3 4 5 4 4 1 2 1 4 4 3 1 0 2 3 5 0 1 0 3 2 4 5 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 17: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 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 { 4->0, 0->1, 3->2, 5->3, 1->4, 2->5 }, it remains to prove termination of the 14-rule system { 0 1 2 0 1 3 4 5 0 4 5 1 2 2 2 3 1 4 0 -> 0 1 2 0 1 3 4 5 0 4 5 2 1 2 2 3 1 4 0 , 1 3 2 4 4 0 0 3 4 5 2 1 0 5 0 4 0 2 1 4 -> 1 3 2 4 4 0 0 3 4 5 1 2 0 5 0 4 0 2 1 4 , 1 1 4 2 3 0 1 3 4 1 3 2 1 0 2 0 1 1 4 0 -> 1 1 4 2 0 3 1 3 4 1 3 2 1 0 2 0 1 1 4 0 , 1 2 1 1 2 2 4 4 0 1 2 5 2 3 2 2 4 5 0 4 1 2 -> 1 2 1 1 2 2 4 4 0 1 2 2 5 3 2 2 4 5 0 4 1 2 , 1 1 2 1 0 5 3 5 2 3 5 0 2 0 5 5 3 3 3 2 0 1 3 -> 1 1 2 1 0 5 3 5 2 3 5 0 0 2 5 5 3 3 3 2 0 1 3 , 1 3 1 1 5 3 2 4 0 1 2 3 0 0 3 4 5 3 3 1 1 4 1 3 4 -> 1 3 1 1 5 3 2 4 1 0 0 3 0 2 3 5 4 3 1 3 1 4 4 3 1 , 4 0 3 4 2 4 3 3 4 1 1 1 4 1 1 5 3 5 2 4 2 3 2 5 0 -> 0 4 3 4 2 4 3 4 3 1 1 1 1 4 1 3 5 2 5 4 2 3 2 5 0 , 0 0 3 5 2 4 3 4 2 5 0 4 2 0 2 1 4 3 3 2 2 3 5 5 0 0 -> 0 0 3 5 2 4 3 4 2 5 0 4 2 0 2 4 1 3 3 2 2 3 5 5 0 0 , 0 3 5 4 1 0 4 5 0 3 0 4 3 2 0 1 0 3 3 1 5 0 1 3 1 0 4 -> 0 3 5 4 1 0 4 5 0 3 0 4 3 2 0 1 0 3 1 3 5 0 1 3 1 0 4 , 3 1 2 3 1 5 1 1 3 1 4 1 3 4 2 4 4 5 2 4 1 2 0 1 2 4 4 4 3 -> 3 1 2 3 1 5 1 1 3 1 4 1 3 4 2 4 4 2 5 4 1 2 0 1 2 4 4 4 3 , 1 2 2 3 5 2 2 0 0 0 2 2 4 2 3 2 5 4 4 2 3 0 5 4 0 4 4 4 3 -> 1 2 3 2 5 2 2 0 0 0 2 2 4 3 2 2 5 4 4 2 3 0 5 4 0 4 4 4 3 , 2 2 3 2 0 2 2 0 2 4 0 2 5 5 3 0 1 0 5 3 0 2 1 5 5 1 1 2 3 -> 2 2 3 0 2 2 2 0 2 4 0 2 5 5 3 1 0 0 5 3 0 2 1 5 5 1 1 2 3 , 1 0 2 3 3 4 4 1 1 0 1 2 4 5 4 5 0 2 0 4 1 3 5 2 4 1 3 1 5 2 -> 1 0 2 3 3 4 4 1 1 0 1 2 4 5 4 5 0 2 0 1 4 3 5 2 4 1 3 1 5 2 , 1 2 5 5 0 1 2 0 3 0 0 4 5 4 0 0 2 4 1 5 2 3 1 4 1 2 0 5 3 0 -> 1 2 5 5 0 1 2 0 3 0 0 4 5 4 0 0 2 4 1 5 2 3 1 4 1 2 5 0 3 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 { 1->0, 3->1, 2->2, 4->3, 0->4, 5->5 }, it remains to prove termination of the 13-rule system { 0 1 2 3 3 4 4 1 3 5 2 0 4 5 4 3 4 2 0 3 -> 0 1 2 3 3 4 4 1 3 5 0 2 4 5 4 3 4 2 0 3 , 0 0 3 2 1 4 0 1 3 0 1 2 0 4 2 4 0 0 3 4 -> 0 0 3 2 4 1 0 1 3 0 1 2 0 4 2 4 0 0 3 4 , 0 2 0 0 2 2 3 3 4 0 2 5 2 1 2 2 3 5 4 3 0 2 -> 0 2 0 0 2 2 3 3 4 0 2 2 5 1 2 2 3 5 4 3 0 2 , 0 0 2 0 4 5 1 5 2 1 5 4 2 4 5 5 1 1 1 2 4 0 1 -> 0 0 2 0 4 5 1 5 2 1 5 4 4 2 5 5 1 1 1 2 4 0 1 , 0 1 0 0 5 1 2 3 4 0 2 1 4 4 1 3 5 1 1 0 0 3 0 1 3 -> 0 1 0 0 5 1 2 3 0 4 4 1 4 2 1 5 3 1 0 1 0 3 3 1 0 , 3 4 1 3 2 3 1 1 3 0 0 0 3 0 0 5 1 5 2 3 2 1 2 5 4 -> 4 3 1 3 2 3 1 3 1 0 0 0 0 3 0 1 5 2 5 3 2 1 2 5 4 , 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 0 3 1 1 2 2 1 5 5 4 4 -> 4 4 1 5 2 3 1 3 2 5 4 3 2 4 2 3 0 1 1 2 2 1 5 5 4 4 , 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 1 0 5 4 0 1 0 4 3 -> 4 1 5 3 0 4 3 5 4 1 4 3 1 2 4 0 4 1 0 1 5 4 0 1 0 4 3 , 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 5 2 3 0 2 4 0 2 3 3 3 1 -> 1 0 2 1 0 5 0 0 1 0 3 0 1 3 2 3 3 2 5 3 0 2 4 0 2 3 3 3 1 , 0 2 2 1 5 2 2 4 4 4 2 2 3 2 1 2 5 3 3 2 1 4 5 3 4 3 3 3 1 -> 0 2 1 2 5 2 2 4 4 4 2 2 3 1 2 2 5 3 3 2 1 4 5 3 4 3 3 3 1 , 2 2 1 2 4 2 2 4 2 3 4 2 5 5 1 4 0 4 5 1 4 2 0 5 5 0 0 2 1 -> 2 2 1 4 2 2 2 4 2 3 4 2 5 5 1 0 4 4 5 1 4 2 0 5 5 0 0 2 1 , 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 3 0 1 5 2 3 0 1 0 5 2 -> 0 4 2 1 1 3 3 0 0 4 0 2 3 5 3 5 4 2 4 0 3 1 5 2 3 0 1 0 5 2 , 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 4 5 1 4 -> 0 2 5 5 4 0 2 4 1 4 4 3 5 3 4 4 2 3 0 5 2 1 0 3 0 2 5 4 1 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 21: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 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 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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, 3->1, 2->2, 1->3, 4->4, 5->5 }, it remains to prove termination of the 12-rule system { 0 0 1 2 3 4 0 3 1 0 3 2 0 4 2 4 0 0 1 4 -> 0 0 1 2 4 3 0 3 1 0 3 2 0 4 2 4 0 0 1 4 , 0 2 0 0 2 2 1 1 4 0 2 5 2 3 2 2 1 5 4 1 0 2 -> 0 2 0 0 2 2 1 1 4 0 2 2 5 3 2 2 1 5 4 1 0 2 , 0 0 2 0 4 5 3 5 2 3 5 4 2 4 5 5 3 3 3 2 4 0 3 -> 0 0 2 0 4 5 3 5 2 3 5 4 4 2 5 5 3 3 3 2 4 0 3 , 0 3 0 0 5 3 2 1 4 0 2 3 4 4 3 1 5 3 3 0 0 1 0 3 1 -> 0 3 0 0 5 3 2 1 0 4 4 3 4 2 3 5 1 3 0 3 0 1 1 3 0 , 1 4 3 1 2 1 3 3 1 0 0 0 1 0 0 5 3 5 2 1 2 3 2 5 4 -> 4 1 3 1 2 1 3 1 3 0 0 0 0 1 0 3 5 2 5 1 2 3 2 5 4 , 4 4 3 5 2 1 3 1 2 5 4 1 2 4 2 0 1 3 3 2 2 3 5 5 4 4 -> 4 4 3 5 2 1 3 1 2 5 4 1 2 4 2 1 0 3 3 2 2 3 5 5 4 4 , 4 3 5 1 0 4 1 5 4 3 4 1 3 2 4 0 4 3 3 0 5 4 0 3 0 4 1 -> 4 3 5 1 0 4 1 5 4 3 4 1 3 2 4 0 4 3 0 3 5 4 0 3 0 4 1 , 3 0 2 3 0 5 0 0 3 0 1 0 3 1 2 1 1 5 2 1 0 2 4 0 2 1 1 1 3 -> 3 0 2 3 0 5 0 0 3 0 1 0 3 1 2 1 1 2 5 1 0 2 4 0 2 1 1 1 3 , 0 2 2 3 5 2 2 4 4 4 2 2 1 2 3 2 5 1 1 2 3 4 5 1 4 1 1 1 3 -> 0 2 3 2 5 2 2 4 4 4 2 2 1 3 2 2 5 1 1 2 3 4 5 1 4 1 1 1 3 , 2 2 3 2 4 2 2 4 2 1 4 2 5 5 3 4 0 4 5 3 4 2 0 5 5 0 0 2 3 -> 2 2 3 4 2 2 2 4 2 1 4 2 5 5 3 0 4 4 5 3 4 2 0 5 5 0 0 2 3 , 0 4 2 3 3 1 1 0 0 4 0 2 1 5 1 5 4 2 4 1 0 3 5 2 1 0 3 0 5 2 -> 0 4 2 3 3 1 1 0 0 4 0 2 1 5 1 5 4 2 4 0 1 3 5 2 1 0 3 0 5 2 , 0 2 5 5 4 0 2 4 3 4 4 1 5 1 4 4 2 1 0 5 2 3 0 1 0 2 4 5 3 4 -> 0 2 5 5 4 0 2 4 3 4 4 1 5 1 4 4 2 1 0 5 2 3 0 1 0 2 5 4 3 4 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,2)->2, (2,3)->3, (3,4)->4, (4,0)->5, (0,3)->6, (3,1)->7, (1,0)->8, (3,2)->9, (2,0)->10, (0,4)->11, (4,2)->12, (2,4)->13, (1,4)->14, (4,3)->15, (3,0)->16, (4,1)->17, (4,4)->18, (4,5)->19, (4,7)->20, (5,0)->21, (6,0)->22, (0,2)->23, (2,2)->24, (2,1)->25, (1,1)->26, (2,5)->27, (5,2)->28, (1,5)->29, (5,4)->30, (5,3)->31, (2,7)->32, (3,5)->33, (5,5)->34, (3,3)->35, (3,7)->36, (0,5)->37, (5,1)->38, (1,3)->39, (1,7)->40, (0,7)->41, (6,4)->42, (6,3)->43, (6,2)->44 }, it remains to prove termination of the 581-rule system { 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 0 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 0 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 8 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 8 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 10 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 10 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 16 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 16 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 5 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 5 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 21 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 21 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 5 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 5 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 17 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 17 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 12 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 12 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 15 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 15 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 18 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 18 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 19 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 19 , 22 0 1 2 3 4 5 6 7 8 6 9 10 11 12 13 5 0 1 14 20 -> 22 0 1 2 13 15 16 6 7 8 6 9 10 11 12 13 5 0 1 14 20 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 0 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 0 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 8 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 8 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 10 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 10 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 16 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 16 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 5 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 5 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 21 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 21 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 10 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 10 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 25 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 25 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 24 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 24 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 3 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 3 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 13 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 13 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 27 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 27 , 22 23 10 0 23 24 25 26 14 5 23 27 28 3 9 24 25 29 30 17 8 23 32 -> 22 23 10 0 23 24 25 26 14 5 23 24 27 31 9 24 25 29 30 17 8 23 32 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 0 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 0 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 8 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 8 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 10 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 10 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 16 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 16 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 5 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 5 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 21 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 21 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 16 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 16 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 7 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 7 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 9 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 9 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 35 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 35 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 4 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 4 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 33 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 33 , 22 0 23 10 11 19 31 33 28 3 33 30 12 13 19 34 31 35 35 9 13 5 6 36 -> 22 0 23 10 11 19 31 33 28 3 33 30 18 12 27 34 31 35 35 9 13 5 6 36 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 0 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 0 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 8 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 8 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 10 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 10 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 16 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 16 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 5 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 5 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 21 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 21 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 8 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 0 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 26 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 1 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 2 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 23 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 39 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 6 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 14 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 11 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 29 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 37 , 22 6 16 0 37 31 9 25 14 5 23 3 4 18 15 7 29 31 35 16 0 1 8 6 7 40 -> 22 6 16 0 37 31 9 25 8 11 18 15 4 12 3 33 38 39 16 6 16 1 26 39 16 41 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 1 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 11 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 26 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 14 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 25 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 13 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 7 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 4 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 17 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 18 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 5 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 5 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 17 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 17 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 12 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 12 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 15 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 15 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 18 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 18 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 19 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 19 , 38 14 15 7 2 25 39 35 7 8 0 0 1 8 0 37 31 33 28 25 2 3 9 27 30 20 -> 30 17 39 7 2 25 39 7 39 16 0 0 0 1 8 6 33 28 27 38 2 3 9 27 30 20 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 11 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 14 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 13 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 4 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 18 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 30 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 5 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 5 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 17 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 17 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 12 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 12 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 15 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 15 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 18 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 18 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 19 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 19 , 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 10 1 39 35 9 24 3 33 34 30 18 20 -> 42 18 15 33 28 25 39 7 2 27 30 17 2 13 12 25 8 6 35 9 24 3 33 34 30 18 20 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 11 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 14 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 13 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 4 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 18 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 30 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 8 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 8 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 26 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 26 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 2 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 2 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 39 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 39 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 14 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 14 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 29 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 29 , 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 35 16 37 30 5 6 16 11 17 40 -> 42 15 33 38 8 11 17 29 30 15 4 17 39 9 13 5 11 15 16 6 33 30 5 6 16 11 17 40 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 6 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 39 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 3 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 35 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 15 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 31 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 16 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 16 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 7 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 7 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 9 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 9 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 35 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 35 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 4 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 4 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 33 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 33 , 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 29 28 25 8 23 13 5 23 25 26 26 39 36 -> 43 16 23 3 16 37 21 0 6 16 1 8 6 7 2 25 26 2 27 38 8 23 13 5 23 25 26 26 39 36 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 0 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 0 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 8 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 8 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 10 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 10 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 16 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 16 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 5 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 5 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 21 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 21 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 16 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 16 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 7 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 7 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 9 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 9 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 35 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 35 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 4 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 4 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 33 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 33 , 22 23 24 3 33 28 24 13 18 18 12 24 25 2 3 9 27 38 26 2 3 4 19 38 14 17 26 26 39 36 -> 22 23 3 9 27 28 24 13 18 18 12 24 25 39 9 24 27 38 26 2 3 4 19 38 14 17 26 26 39 36 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 23 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 23 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 2 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 2 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 24 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 24 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 9 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 9 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 12 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 12 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 28 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 28 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 16 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 16 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 7 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 7 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 9 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 9 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 35 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 35 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 4 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 4 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 33 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 33 , 44 24 3 9 13 12 24 13 12 25 14 12 27 34 31 4 5 11 19 31 4 12 10 37 34 21 0 23 3 36 -> 44 24 3 4 12 24 24 13 12 25 14 12 27 34 31 16 11 18 19 31 4 12 10 37 34 21 0 23 3 36 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 0 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 8 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 10 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 16 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 5 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 21 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 10 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 10 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 25 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 25 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 24 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 24 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 3 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 3 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 13 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 13 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 27 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 27 , 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 17 8 6 33 28 25 8 6 16 37 28 32 -> 22 11 12 3 35 7 26 8 0 11 5 23 25 29 38 29 30 12 13 5 1 39 33 28 25 8 6 16 37 28 32 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 0 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 8 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 10 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 16 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 5 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 21 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 5 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 5 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 17 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 17 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 12 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 12 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 15 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 15 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 18 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 18 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 19 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 19 , 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 13 19 31 4 20 -> 22 23 27 34 30 5 23 13 15 4 18 17 29 38 14 18 12 25 8 37 28 3 16 1 8 23 27 30 15 4 20 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 1 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 1 | | 0 1 | \ / 16 is interpreted by / \ | 1 0 | | 0 1 | \ / 17 is interpreted by / \ | 1 1 | | 0 1 | \ / 18 is interpreted by / \ | 1 0 | | 0 1 | \ / 19 is interpreted by / \ | 1 1 | | 0 1 | \ / 20 is interpreted by / \ | 1 0 | | 0 1 | \ / 21 is interpreted by / \ | 1 0 | | 0 1 | \ / 22 is interpreted by / \ | 1 0 | | 0 1 | \ / 23 is interpreted by / \ | 1 1 | | 0 1 | \ / 24 is interpreted by / \ | 1 0 | | 0 1 | \ / 25 is interpreted by / \ | 1 1 | | 0 1 | \ / 26 is interpreted by / \ | 1 1 | | 0 1 | \ / 27 is interpreted by / \ | 1 0 | | 0 1 | \ / 28 is interpreted by / \ | 1 1 | | 0 1 | \ / 29 is interpreted by / \ | 1 1 | | 0 1 | \ / 30 is interpreted by / \ | 1 0 | | 0 1 | \ / 31 is interpreted by / \ | 1 1 | | 0 1 | \ / 32 is interpreted by / \ | 1 0 | | 0 1 | \ / 33 is interpreted by / \ | 1 1 | | 0 1 | \ / 34 is interpreted by / \ | 1 0 | | 0 1 | \ / 35 is interpreted by / \ | 1 1 | | 0 1 | \ / 36 is interpreted by / \ | 1 0 | | 0 1 | \ / 37 is interpreted by / \ | 1 1 | | 0 1 | \ / 38 is interpreted by / \ | 1 0 | | 0 1 | \ / 39 is interpreted by / \ | 1 1 | | 0 1 | \ / 40 is interpreted by / \ | 1 1 | | 0 1 | \ / 41 is interpreted by / \ | 1 0 | | 0 1 | \ / 42 is interpreted by / \ | 1 0 | | 0 1 | \ / 43 is interpreted by / \ | 1 0 | | 0 1 | \ / 44 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 11->0, 18->1, 15->2, 33->3, 28->4, 25->5, 39->6, 7->7, 2->8, 27->9, 30->10, 17->11, 13->12, 12->13, 10->14, 1->15, 35->16, 9->17, 24->18, 3->19, 34->20, 5->21, 8->22, 6->23, 19->24, 20->25, 14->26, 4->27, 42->28, 38->29, 29->30, 16->31, 37->32, 26->33, 40->34, 0->35, 23->36, 32->37, 21->38, 22->39 }, it remains to prove termination of the 147-rule system { 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 0 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 26 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 12 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 27 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 1 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 10 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 21 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 21 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 11 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 11 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 13 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 13 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 2 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 2 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 1 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 1 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 24 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 24 , 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 14 15 6 16 17 18 19 3 20 10 1 25 -> 28 1 2 3 4 5 6 7 8 9 10 11 8 12 13 5 22 23 16 17 18 19 3 20 10 1 25 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 0 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 26 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 12 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 27 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 1 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 10 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 22 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 22 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 33 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 33 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 8 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 8 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 6 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 6 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 26 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 26 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 30 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 30 , 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 16 31 32 10 21 23 31 0 11 34 -> 28 2 3 29 22 0 11 30 10 2 27 11 6 17 12 21 0 2 31 23 3 10 21 23 31 0 11 34 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 35 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 22 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 14 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 31 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 21 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 38 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 14 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 14 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 5 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 5 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 18 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 18 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 19 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 19 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 12 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 12 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 9 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 9 , 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 11 22 23 3 4 5 22 23 31 32 4 37 -> 39 0 13 19 16 7 33 22 35 0 21 36 5 30 29 30 10 13 12 21 15 6 3 4 5 22 23 31 32 4 37 } 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 1 | | 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 1 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 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 1 | | 0 1 | \ / 23 is interpreted by / \ | 1 1 | | 0 1 | \ / 24 is interpreted by / \ | 1 0 | | 0 1 | \ / 25 is interpreted by / \ | 1 0 | | 0 1 | \ / 26 is interpreted by / \ | 1 0 | | 0 1 | \ / 27 is interpreted by / \ | 1 0 | | 0 1 | \ / 28 is interpreted by / \ | 1 0 | | 0 1 | \ / 29 is interpreted by / \ | 1 0 | | 0 1 | \ / 30 is interpreted by / \ | 1 0 | | 0 1 | \ / 31 is interpreted by / \ | 1 0 | | 0 1 | \ / 32 is interpreted by / \ | 1 1 | | 0 1 | \ / 33 is interpreted by / \ | 1 0 | | 0 1 | \ / 34 is interpreted by / \ | 1 0 | | 0 1 | \ / 35 is interpreted by / \ | 1 0 | | 0 1 | \ / 36 is interpreted by / \ | 1 0 | | 0 1 | \ / 37 is interpreted by / \ | 1 0 | | 0 1 | \ / 38 is interpreted by / \ | 1 0 | | 0 1 | \ / 39 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.