32.86/8.64 YES 34.00/8.99 34.00/8.99 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 2: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 50-rule system 34.00/8.99 { 0 1 2 0 1 0 1 -> 0 1 0 2 1 0 1 , 34.00/8.99 0 3 0 2 2 0 3 0 -> 0 3 2 0 2 0 3 0 , 34.00/8.99 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 2 1 2 2 3 4 2 1 1 -> 2 1 2 2 4 3 2 1 1 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 0 2 3 4 3 5 0 1 0 4 -> 0 1 0 3 3 2 2 0 4 2 , 34.00/8.99 0 3 0 5 1 3 3 3 2 5 -> 0 1 0 4 0 1 2 2 2 1 , 34.00/8.99 1 1 0 4 3 4 2 0 2 1 -> 1 1 0 4 4 3 2 0 2 1 , 34.00/8.99 3 0 1 4 5 2 5 0 5 4 -> 5 2 4 0 0 4 4 2 5 4 , 34.00/8.99 3 4 5 5 2 3 3 0 0 4 -> 3 3 5 0 4 3 2 0 2 2 , 34.00/8.99 3 5 5 0 5 5 4 0 0 0 -> 5 3 1 0 3 2 3 2 4 5 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 2: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 1 | 34.00/8.99 | 0 1 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 45-rule system 34.00/8.99 { 0 1 2 0 1 0 1 -> 0 1 0 2 1 0 1 , 34.00/8.99 0 3 0 2 2 0 3 0 -> 0 3 2 0 2 0 3 0 , 34.00/8.99 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 2 1 2 2 3 4 2 1 1 -> 2 1 2 2 4 3 2 1 1 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 1 1 0 4 3 4 2 0 2 1 -> 1 1 0 4 4 3 2 0 2 1 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 8: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 44-rule system 34.00/8.99 { 0 3 0 2 2 0 3 0 -> 0 3 2 0 2 0 3 0 , 34.00/8.99 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 2 1 2 2 3 4 2 1 1 -> 2 1 2 2 4 3 2 1 1 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 1 1 0 4 3 4 2 0 2 1 -> 1 1 0 4 4 3 2 0 2 1 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 9: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 43-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 2 1 2 2 3 4 2 1 1 -> 2 1 2 2 4 3 2 1 1 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 1 1 0 4 3 4 2 0 2 1 -> 1 1 0 4 4 3 2 0 2 1 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 10: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 42-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 1 1 0 4 3 4 2 0 2 1 -> 1 1 0 4 4 3 2 0 2 1 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 11: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 41-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 3 1 3 4 1 3 5 4 1 3 5 -> 3 1 3 3 4 4 1 3 1 5 5 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 12: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 40-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 1 5 2 0 3 5 0 5 5 4 3 0 -> 2 1 5 2 0 3 0 5 5 5 3 4 0 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 14: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 39-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 4 0 1 1 1 3 0 2 -> 4 1 3 0 1 1 0 2 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 9: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 5 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 34.00/8.99 Remains to prove termination of the 38-rule system 34.00/8.99 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/8.99 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/8.99 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/8.99 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/8.99 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/8.99 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/8.99 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/8.99 2 2 1 1 5 0 3 1 1 1 2 5 1 -> 2 2 1 5 1 0 3 1 1 1 2 5 1 , 34.00/8.99 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/8.99 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/8.99 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/8.99 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/8.99 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/8.99 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/8.99 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/8.99 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/8.99 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/8.99 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/8.99 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/8.99 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/8.99 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/8.99 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/8.99 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/8.99 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/8.99 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/8.99 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/8.99 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/8.99 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/8.99 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/8.99 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/8.99 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/8.99 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/8.99 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/8.99 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/8.99 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/8.99 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/8.99 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/8.99 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/8.99 34.00/8.99 34.00/8.99 The system was filtered by the following matrix interpretation 34.00/8.99 of type E_J with J = {1,...,2} and dimension 14: 34.00/8.99 34.00/8.99 0 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 1 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 2 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 3 is interpreted by 34.00/8.99 / \ 34.00/8.99 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/8.99 \ / 34.00/8.99 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 37-rule system 34.00/9.00 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/9.00 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/9.00 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/9.00 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 0 5 2 4 1 1 5 0 5 1 4 4 4 2 -> 0 5 2 4 1 5 1 0 5 1 4 4 4 2 , 34.00/9.00 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 15: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 36-rule system 34.00/9.00 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/9.00 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/9.00 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/9.00 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 1 3 0 2 2 1 3 4 5 0 4 0 1 2 -> 3 1 0 2 2 3 1 5 4 0 4 0 1 2 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 15: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 35-rule system 34.00/9.00 { 3 2 0 1 0 3 1 0 -> 3 2 1 0 0 3 1 0 , 34.00/9.00 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/9.00 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/9.00 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 9: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 34-rule system 34.00/9.00 { 5 4 4 3 1 2 3 0 3 -> 5 4 4 1 3 3 2 0 3 , 34.00/9.00 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/9.00 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 10: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 33-rule system 34.00/9.00 { 4 1 2 0 4 1 2 0 1 3 -> 4 1 2 2 0 4 1 0 1 3 , 34.00/9.00 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 11: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 32-rule system 34.00/9.00 { 4 5 1 1 2 1 5 5 3 1 -> 4 5 1 5 1 3 2 1 5 1 , 34.00/9.00 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 11: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 31-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 3 4 1 0 3 3 5 3 2 2 3 -> 1 3 4 0 1 3 5 3 3 2 2 3 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 13: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 30-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 1 4 2 2 1 2 3 4 3 1 2 1 3 -> 1 4 2 2 2 1 3 4 3 1 2 1 3 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 14: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 29-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 5 5 4 4 1 5 1 4 5 1 2 1 1 5 -> 5 5 4 4 1 5 1 4 1 2 5 1 1 5 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 15: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 28-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 2 0 0 5 0 5 2 5 5 1 2 5 1 1 3 -> 2 0 0 5 0 5 2 5 1 5 2 5 1 1 3 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 16: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 27-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 4 5 4 2 1 0 0 3 3 5 2 5 2 3 3 4 -> 4 5 4 2 1 0 0 3 3 5 2 5 3 2 3 4 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 17: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 26-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 5 0 0 2 3 4 2 3 0 2 1 1 5 4 2 0 -> 5 0 0 2 3 2 4 3 0 2 1 1 5 4 2 0 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 17: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 25-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 5 2 5 3 2 4 1 0 2 0 2 5 0 5 4 1 -> 5 2 5 3 2 4 1 0 0 2 2 5 0 5 4 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 17: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 24-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 5 0 5 2 1 2 2 0 4 4 0 3 5 2 1 0 0 -> 5 0 5 2 1 2 2 4 0 3 4 5 0 2 0 1 0 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 18: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 1 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 2 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 3 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 4 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 5 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 \ / 34.00/9.00 34.00/9.00 Remains to prove termination of the 23-rule system 34.00/9.00 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.00 0 3 2 3 0 4 5 1 4 5 4 5 0 5 1 4 0 2 -> 0 3 2 3 0 4 5 1 4 5 5 4 0 5 1 4 0 2 , 34.00/9.00 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.00 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.00 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.00 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.00 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.00 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.00 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.00 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.00 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.00 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.00 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.00 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.00 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.00 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.00 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.00 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.00 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.00 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.00 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.00 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.00 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.00 34.00/9.00 34.00/9.00 The system was filtered by the following matrix interpretation 34.00/9.00 of type E_J with J = {1,...,2} and dimension 19: 34.00/9.00 34.00/9.00 0 is interpreted by 34.00/9.00 / \ 34.00/9.00 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.00 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 22-rule system 34.00/9.01 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.01 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.01 4 0 0 3 1 5 4 2 4 0 3 4 5 3 5 1 5 0 -> 4 0 0 3 1 4 5 2 4 0 3 4 5 3 5 1 5 0 , 34.00/9.01 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.01 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.01 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 19: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 21-rule system 34.00/9.01 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.01 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.01 0 3 5 5 4 1 4 0 2 2 3 0 1 5 1 1 2 0 4 -> 0 3 5 5 4 1 0 4 2 3 2 0 1 5 1 1 0 2 4 , 34.00/9.01 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.01 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 20: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 20-rule system 34.00/9.01 { 0 2 4 2 4 2 5 0 3 3 1 -> 0 2 4 2 4 2 0 5 3 3 1 , 34.00/9.01 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.01 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.01 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 12: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 19-rule system 34.00/9.01 { 2 4 3 5 4 1 2 3 5 4 3 2 5 1 1 0 0 2 -> 2 4 4 3 1 5 5 2 3 1 3 2 0 4 5 1 0 2 , 34.00/9.01 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.01 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 19: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 18-rule system 34.00/9.01 { 2 2 2 5 4 4 4 4 1 2 0 3 5 2 0 4 1 0 2 -> 2 2 2 4 5 4 4 4 1 2 0 5 3 2 0 4 1 0 2 , 34.00/9.01 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 20: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 17-rule system 34.00/9.01 { 0 4 4 2 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 -> 0 4 2 4 4 4 4 2 0 0 4 3 5 1 5 3 4 3 2 1 , 34.00/9.01 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 21: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 16-rule system 34.00/9.01 { 1 2 1 0 2 4 1 1 5 0 1 3 4 4 2 5 1 5 3 0 -> 1 2 1 0 2 4 1 1 5 0 1 3 4 2 4 5 1 5 3 0 , 34.00/9.01 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 21: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 15-rule system 34.00/9.01 { 1 2 4 1 4 0 2 5 5 1 1 4 3 2 3 0 3 0 2 1 4 -> 1 2 4 1 4 0 2 5 1 5 1 4 3 2 3 0 3 0 2 1 4 , 34.00/9.01 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 22: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 14-rule system 34.00/9.01 { 2 5 0 5 1 4 1 3 3 0 1 0 1 5 1 3 5 0 4 5 0 -> 2 5 0 5 1 4 1 3 3 0 1 0 5 1 1 5 3 4 0 5 0 , 34.00/9.01 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 22: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 13-rule system 34.00/9.01 { 4 3 0 3 0 2 0 1 1 5 3 1 2 0 1 3 0 3 4 0 4 -> 4 3 0 3 0 2 0 1 1 5 1 3 2 0 1 3 0 3 4 0 4 , 34.00/9.01 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 22: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 12-rule system 34.00/9.01 { 0 0 5 1 4 1 0 0 5 1 5 3 3 1 0 3 0 1 0 0 5 2 -> 0 0 5 1 4 1 0 0 5 1 5 3 1 3 0 3 0 1 0 0 5 2 , 34.00/9.01 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 23: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 5 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 34.00/9.01 Remains to prove termination of the 11-rule system 34.00/9.01 { 4 2 1 1 0 0 4 1 2 4 2 2 0 5 0 0 5 2 2 3 5 0 -> 4 2 1 1 0 0 4 1 2 2 4 2 0 5 0 0 5 2 2 3 5 0 , 34.00/9.01 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.01 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.01 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.01 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.01 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.01 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.01 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.01 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.01 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.01 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.01 34.00/9.01 34.00/9.01 The system was filtered by the following matrix interpretation 34.00/9.01 of type E_J with J = {1,...,2} and dimension 23: 34.00/9.01 34.00/9.01 0 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 1 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 2 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 3 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.01 \ / 34.00/9.01 4 is interpreted by 34.00/9.01 / \ 34.00/9.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 10-rule system 34.00/9.02 { 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 5 1 1 1 2 4 -> 1 1 4 2 4 3 1 4 2 2 1 5 1 2 5 1 2 1 5 1 1 2 4 , 34.00/9.02 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.02 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.02 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.02 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.02 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 24: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 9-rule system 34.00/9.02 { 2 2 0 5 2 1 5 5 5 3 1 2 5 1 3 1 3 3 3 1 0 0 4 -> 2 2 0 5 2 1 5 5 5 3 2 1 5 1 3 1 3 3 3 1 0 0 4 , 34.00/9.02 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.02 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.02 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.02 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 24: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 8-rule system 34.00/9.02 { 1 1 3 1 1 4 0 2 4 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 -> 1 1 3 1 1 4 0 4 2 5 5 2 3 1 2 0 4 4 2 4 1 2 3 3 , 34.00/9.02 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.02 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.02 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 25: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 7-rule system 34.00/9.02 { 1 2 1 1 3 2 3 2 3 1 1 0 2 3 1 1 1 4 2 0 0 5 3 5 -> 1 2 1 1 3 2 3 2 3 1 1 0 3 2 1 1 1 4 2 0 0 5 3 5 , 34.00/9.02 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.02 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 25: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 6-rule system 34.00/9.02 { 1 4 4 2 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 -> 1 4 2 4 4 5 3 0 3 5 1 2 2 1 1 5 5 2 0 5 0 1 4 0 , 34.00/9.02 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 25: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 5-rule system 34.00/9.02 { 2 3 2 0 1 2 1 4 3 5 4 3 1 5 4 1 5 4 2 1 1 1 3 0 1 -> 2 3 2 0 1 2 1 4 3 4 5 3 1 5 4 1 5 4 2 1 1 1 3 0 1 , 34.00/9.02 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 26: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 4-rule system 34.00/9.02 { 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 3 4 0 1 1 4 4 -> 1 4 4 4 4 4 1 1 0 5 5 1 4 4 2 5 2 2 3 0 0 2 4 3 0 1 1 4 4 , 34.00/9.02 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 30: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 3-rule system 34.00/9.02 { 3 2 3 0 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 -> 3 2 0 3 3 0 1 4 4 3 4 4 0 2 3 0 5 1 3 0 4 4 2 3 2 4 2 2 0 , 34.00/9.02 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 30: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 2-rule system 34.00/9.02 { 3 0 2 1 0 1 2 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 -> 3 0 2 1 0 2 1 3 1 1 2 4 2 0 5 1 5 0 1 3 4 3 5 1 1 5 3 2 1 0 , 34.00/9.02 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 31: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 34.00/9.02 Remains to prove termination of the 1-rule system 34.00/9.02 { 5 4 5 4 3 1 1 0 0 2 4 2 1 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 -> 5 4 5 4 3 1 1 0 0 2 4 1 2 5 5 5 0 0 4 3 2 2 2 2 3 1 0 5 5 5 } 34.00/9.02 34.00/9.02 34.00/9.02 The system was filtered by the following matrix interpretation 34.00/9.02 of type E_J with J = {1,...,2} and dimension 31: 34.00/9.02 34.00/9.02 0 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 1 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 2 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 3 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 4 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 \ / 34.00/9.02 5 is interpreted by 34.00/9.02 / \ 34.00/9.02 | 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 | 34.00/9.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.00/9.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.00/9.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.00/9.03 \ / 34.00/9.03 34.00/9.03 Remains to prove termination of the 0-rule system 34.00/9.03 { } 34.00/9.03 34.00/9.03 34.00/9.03 The system is trivially terminating. 34.16/9.08 EOF