9.18/2.53 YES 9.43/2.65 9.43/2.65 9.43/2.65 The system was filtered by the following matrix interpretation 9.43/2.65 of type E_J with J = {1,...,2} and dimension 12: 9.43/2.65 9.43/2.65 0 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 1 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 1 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 1 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 1 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 2 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 1 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 3 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 1 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 4 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 1 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 1 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 5 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 1 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 9.43/2.65 Remains to prove termination of the 24-rule system 9.43/2.65 { 0 1 2 3 -> 1 4 3 , 9.43/2.65 1 2 0 4 2 -> 3 4 5 4 , 9.43/2.65 3 3 0 3 2 -> 3 2 4 1 , 9.43/2.65 5 2 1 0 4 -> 5 5 4 5 , 9.43/2.65 0 1 4 5 0 5 -> 3 0 4 0 3 5 , 9.43/2.65 0 2 5 2 1 5 -> 5 2 1 5 4 , 9.43/2.65 0 3 5 1 5 5 -> 0 5 1 5 4 , 9.43/2.65 2 2 5 1 4 5 4 3 -> 2 2 3 3 0 1 0 3 , 9.43/2.65 0 0 0 2 4 1 2 2 4 -> 0 0 0 4 3 3 4 4 , 9.43/2.65 2 4 4 3 4 2 0 3 2 -> 3 4 3 4 1 3 3 1 , 9.43/2.65 0 1 4 3 2 3 2 3 5 3 -> 1 4 3 0 3 4 2 5 3 , 9.43/2.65 4 4 3 3 0 2 4 2 4 4 1 5 -> 4 4 0 4 3 1 5 5 5 2 5 , 9.43/2.65 5 3 0 0 5 5 2 0 2 2 3 3 -> 5 5 4 1 5 2 0 5 2 4 3 , 9.43/2.65 0 2 0 2 5 5 1 5 0 2 5 2 2 -> 5 4 3 1 4 0 1 0 1 5 2 , 9.43/2.65 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.65 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.65 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.65 5 4 2 5 2 5 3 2 3 3 1 5 0 0 5 -> 5 2 3 5 4 1 3 1 4 4 4 4 1 3 5 , 9.43/2.65 0 0 2 4 1 2 2 1 3 2 0 4 5 5 4 2 -> 0 5 1 1 0 2 3 5 4 3 0 2 5 2 3 5 1 , 9.43/2.65 0 1 1 5 3 0 1 4 2 2 4 0 1 0 2 3 4 -> 0 4 2 2 0 1 5 4 4 0 2 2 2 5 5 4 , 9.43/2.65 0 2 3 2 5 2 4 3 2 4 3 0 2 4 5 1 3 -> 3 4 3 5 2 5 3 1 5 0 1 0 5 5 2 3 , 9.43/2.65 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 , 9.43/2.65 3 0 1 0 5 2 4 4 4 5 2 4 1 1 4 5 4 0 3 2 1 -> 3 4 2 0 4 5 2 2 2 3 3 3 5 0 5 5 3 2 1 1 4 , 9.43/2.65 3 3 2 1 0 0 3 1 2 0 2 1 2 3 5 4 0 2 2 1 1 -> 3 4 5 2 4 3 4 3 5 3 4 5 4 2 5 5 1 0 1 } 9.43/2.65 9.43/2.65 9.43/2.65 The system was filtered by the following matrix interpretation 9.43/2.65 of type E_J with J = {1,...,2} and dimension 14: 9.43/2.65 9.43/2.65 0 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 1 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 2 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 3 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 4 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 5 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 9.43/2.65 Remains to prove termination of the 23-rule system 9.43/2.65 { 0 1 2 3 -> 1 4 3 , 9.43/2.65 1 2 0 4 2 -> 3 4 5 4 , 9.43/2.65 3 3 0 3 2 -> 3 2 4 1 , 9.43/2.65 5 2 1 0 4 -> 5 5 4 5 , 9.43/2.65 0 1 4 5 0 5 -> 3 0 4 0 3 5 , 9.43/2.65 0 2 5 2 1 5 -> 5 2 1 5 4 , 9.43/2.65 0 3 5 1 5 5 -> 0 5 1 5 4 , 9.43/2.65 2 2 5 1 4 5 4 3 -> 2 2 3 3 0 1 0 3 , 9.43/2.65 0 0 0 2 4 1 2 2 4 -> 0 0 0 4 3 3 4 4 , 9.43/2.65 2 4 4 3 4 2 0 3 2 -> 3 4 3 4 1 3 3 1 , 9.43/2.65 0 1 4 3 2 3 2 3 5 3 -> 1 4 3 0 3 4 2 5 3 , 9.43/2.65 4 4 3 3 0 2 4 2 4 4 1 5 -> 4 4 0 4 3 1 5 5 5 2 5 , 9.43/2.65 5 3 0 0 5 5 2 0 2 2 3 3 -> 5 5 4 1 5 2 0 5 2 4 3 , 9.43/2.65 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.65 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.65 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.65 5 4 2 5 2 5 3 2 3 3 1 5 0 0 5 -> 5 2 3 5 4 1 3 1 4 4 4 4 1 3 5 , 9.43/2.65 0 0 2 4 1 2 2 1 3 2 0 4 5 5 4 2 -> 0 5 1 1 0 2 3 5 4 3 0 2 5 2 3 5 1 , 9.43/2.65 0 1 1 5 3 0 1 4 2 2 4 0 1 0 2 3 4 -> 0 4 2 2 0 1 5 4 4 0 2 2 2 5 5 4 , 9.43/2.65 0 2 3 2 5 2 4 3 2 4 3 0 2 4 5 1 3 -> 3 4 3 5 2 5 3 1 5 0 1 0 5 5 2 3 , 9.43/2.65 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 , 9.43/2.65 3 0 1 0 5 2 4 4 4 5 2 4 1 1 4 5 4 0 3 2 1 -> 3 4 2 0 4 5 2 2 2 3 3 3 5 0 5 5 3 2 1 1 4 , 9.43/2.65 3 3 2 1 0 0 3 1 2 0 2 1 2 3 5 4 0 2 2 1 1 -> 3 4 5 2 4 3 4 3 5 3 4 5 4 2 5 5 1 0 1 } 9.43/2.65 9.43/2.65 9.43/2.65 The system was filtered by the following matrix interpretation 9.43/2.65 of type E_J with J = {1,...,2} and dimension 10: 9.43/2.65 9.43/2.65 0 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 1 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 1 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 1 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 1 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 2 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 1 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 1 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 1 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 1 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 3 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 4 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 1 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 5 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 9.43/2.65 Remains to prove termination of the 22-rule system 9.43/2.65 { 0 1 2 3 -> 1 4 3 , 9.43/2.65 1 2 0 4 2 -> 3 4 5 4 , 9.43/2.65 3 3 0 3 2 -> 3 2 4 1 , 9.43/2.65 5 2 1 0 4 -> 5 5 4 5 , 9.43/2.65 0 1 4 5 0 5 -> 3 0 4 0 3 5 , 9.43/2.65 0 2 5 2 1 5 -> 5 2 1 5 4 , 9.43/2.65 0 3 5 1 5 5 -> 0 5 1 5 4 , 9.43/2.65 2 2 5 1 4 5 4 3 -> 2 2 3 3 0 1 0 3 , 9.43/2.65 2 4 4 3 4 2 0 3 2 -> 3 4 3 4 1 3 3 1 , 9.43/2.65 0 1 4 3 2 3 2 3 5 3 -> 1 4 3 0 3 4 2 5 3 , 9.43/2.65 4 4 3 3 0 2 4 2 4 4 1 5 -> 4 4 0 4 3 1 5 5 5 2 5 , 9.43/2.65 5 3 0 0 5 5 2 0 2 2 3 3 -> 5 5 4 1 5 2 0 5 2 4 3 , 9.43/2.65 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.65 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.65 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.65 5 4 2 5 2 5 3 2 3 3 1 5 0 0 5 -> 5 2 3 5 4 1 3 1 4 4 4 4 1 3 5 , 9.43/2.65 0 0 2 4 1 2 2 1 3 2 0 4 5 5 4 2 -> 0 5 1 1 0 2 3 5 4 3 0 2 5 2 3 5 1 , 9.43/2.65 0 1 1 5 3 0 1 4 2 2 4 0 1 0 2 3 4 -> 0 4 2 2 0 1 5 4 4 0 2 2 2 5 5 4 , 9.43/2.65 0 2 3 2 5 2 4 3 2 4 3 0 2 4 5 1 3 -> 3 4 3 5 2 5 3 1 5 0 1 0 5 5 2 3 , 9.43/2.65 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 , 9.43/2.65 3 0 1 0 5 2 4 4 4 5 2 4 1 1 4 5 4 0 3 2 1 -> 3 4 2 0 4 5 2 2 2 3 3 3 5 0 5 5 3 2 1 1 4 , 9.43/2.65 3 3 2 1 0 0 3 1 2 0 2 1 2 3 5 4 0 2 2 1 1 -> 3 4 5 2 4 3 4 3 5 3 4 5 4 2 5 5 1 0 1 } 9.43/2.65 9.43/2.65 9.43/2.65 The system was filtered by the following matrix interpretation 9.43/2.65 of type E_J with J = {1,...,2} and dimension 17: 9.43/2.65 9.43/2.65 0 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 1 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 2 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 3 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 4 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 5 is interpreted by 9.43/2.65 / \ 9.43/2.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 9.43/2.65 \ / 9.43/2.65 9.43/2.65 Remains to prove termination of the 21-rule system 9.43/2.65 { 0 1 2 3 -> 1 4 3 , 9.43/2.65 1 2 0 4 2 -> 3 4 5 4 , 9.43/2.65 3 3 0 3 2 -> 3 2 4 1 , 9.43/2.65 5 2 1 0 4 -> 5 5 4 5 , 9.43/2.65 0 1 4 5 0 5 -> 3 0 4 0 3 5 , 9.43/2.65 0 2 5 2 1 5 -> 5 2 1 5 4 , 9.43/2.65 0 3 5 1 5 5 -> 0 5 1 5 4 , 9.43/2.66 2 2 5 1 4 5 4 3 -> 2 2 3 3 0 1 0 3 , 9.43/2.66 2 4 4 3 4 2 0 3 2 -> 3 4 3 4 1 3 3 1 , 9.43/2.66 0 1 4 3 2 3 2 3 5 3 -> 1 4 3 0 3 4 2 5 3 , 9.43/2.66 4 4 3 3 0 2 4 2 4 4 1 5 -> 4 4 0 4 3 1 5 5 5 2 5 , 9.43/2.66 5 3 0 0 5 5 2 0 2 2 3 3 -> 5 5 4 1 5 2 0 5 2 4 3 , 9.43/2.66 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.66 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.66 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.66 5 4 2 5 2 5 3 2 3 3 1 5 0 0 5 -> 5 2 3 5 4 1 3 1 4 4 4 4 1 3 5 , 9.43/2.66 0 1 1 5 3 0 1 4 2 2 4 0 1 0 2 3 4 -> 0 4 2 2 0 1 5 4 4 0 2 2 2 5 5 4 , 9.43/2.66 0 2 3 2 5 2 4 3 2 4 3 0 2 4 5 1 3 -> 3 4 3 5 2 5 3 1 5 0 1 0 5 5 2 3 , 9.43/2.66 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 , 9.43/2.66 3 0 1 0 5 2 4 4 4 5 2 4 1 1 4 5 4 0 3 2 1 -> 3 4 2 0 4 5 2 2 2 3 3 3 5 0 5 5 3 2 1 1 4 , 9.43/2.66 3 3 2 1 0 0 3 1 2 0 2 1 2 3 5 4 0 2 2 1 1 -> 3 4 5 2 4 3 4 3 5 3 4 5 4 2 5 5 1 0 1 } 9.43/2.66 9.43/2.66 9.43/2.66 The system was filtered by the following matrix interpretation 9.43/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.43/2.66 9.43/2.66 0 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 1 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 2 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 3 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 4 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 5 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 9.43/2.66 Remains to prove termination of the 8-rule system 9.43/2.66 { 0 1 4 5 0 5 -> 3 0 4 0 3 5 , 9.43/2.66 2 2 5 1 4 5 4 3 -> 2 2 3 3 0 1 0 3 , 9.43/2.66 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.66 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.66 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.66 5 4 2 5 2 5 3 2 3 3 1 5 0 0 5 -> 5 2 3 5 4 1 3 1 4 4 4 4 1 3 5 , 9.43/2.66 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 , 9.43/2.66 3 0 1 0 5 2 4 4 4 5 2 4 1 1 4 5 4 0 3 2 1 -> 3 4 2 0 4 5 2 2 2 3 3 3 5 0 5 5 3 2 1 1 4 } 9.43/2.66 9.43/2.66 9.43/2.66 The system was filtered by the following matrix interpretation 9.43/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.43/2.66 9.43/2.66 0 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1000 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 1 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1000 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 2 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 999 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 3 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 998 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 4 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 999 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 5 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1000 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 9.43/2.66 Remains to prove termination of the 4-rule system 9.43/2.66 { 0 3 1 4 4 2 0 5 4 0 1 0 4 -> 0 0 4 4 1 0 4 0 0 2 2 4 4 , 9.43/2.66 1 2 4 1 1 0 2 5 3 4 0 1 4 0 3 -> 1 1 0 4 5 0 3 2 0 5 2 0 0 3 3 , 9.43/2.66 2 3 5 2 4 4 5 1 4 4 4 1 3 2 3 -> 2 3 3 1 1 1 5 3 3 5 1 3 5 2 3 , 9.43/2.66 4 5 4 5 4 2 1 4 5 0 2 0 4 3 0 0 1 0 0 2 -> 4 4 2 2 5 2 0 0 0 5 3 4 1 2 2 1 1 5 0 0 } 9.43/2.66 9.43/2.66 9.43/2.66 The system was filtered by the following matrix interpretation 9.43/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.43/2.66 9.43/2.66 0 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 0 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 1 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 0 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 2 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 1 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 3 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 5 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 4 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 3 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 5 is interpreted by 9.43/2.66 / \ 9.43/2.66 | 1 0 | 9.43/2.66 | 0 1 | 9.43/2.66 \ / 9.43/2.66 9.43/2.66 Remains to prove termination of the 0-rule system 9.43/2.66 { } 9.43/2.66 9.43/2.66 9.43/2.66 The system is trivially terminating. 13.37/4.62 EOF