30.22/8.01 YES 31.46/8.35 31.46/8.35 31.46/8.35 31.46/8.35 31.46/8.35 The system was filtered by the following matrix interpretation 31.46/8.35 of type E_J with J = {1,...,2} and dimension 2: 31.46/8.35 31.46/8.35 0 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 1 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 2 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 3 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 4 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 5 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 31.46/8.35 Remains to prove termination of the 45-rule system 31.46/8.35 { 0 1 2 0 1 3 3 -> 0 1 0 2 1 3 3 , 31.46/8.35 0 3 2 1 1 1 3 -> 0 1 2 1 3 1 3 , 31.46/8.35 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.35 4 1 0 1 1 2 5 -> 4 1 0 1 2 1 5 , 31.46/8.35 0 1 5 4 2 2 2 2 3 5 -> 4 3 3 5 4 4 3 5 4 3 , 31.46/8.35 0 5 2 4 4 2 3 4 0 3 4 3 -> 0 5 2 4 4 2 3 0 4 3 4 3 , 31.46/8.35 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.35 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.35 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.35 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.35 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.35 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.35 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.35 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.35 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.35 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.35 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.35 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.35 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.35 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.35 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.35 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.35 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.35 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.35 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.35 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.35 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.35 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.35 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.35 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.35 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.35 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.35 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.35 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.35 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.35 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.35 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.35 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.35 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.35 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.35 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.35 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.35 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.35 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.35 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.35 31.46/8.35 31.46/8.35 The system was filtered by the following matrix interpretation 31.46/8.35 of type E_J with J = {1,...,2} and dimension 2: 31.46/8.35 31.46/8.35 0 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 1 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 1 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 2 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 3 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 4 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 5 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 | 31.46/8.35 | 0 1 | 31.46/8.35 \ / 31.46/8.35 31.46/8.35 Remains to prove termination of the 44-rule system 31.46/8.35 { 0 1 2 0 1 3 3 -> 0 1 0 2 1 3 3 , 31.46/8.35 0 3 2 1 1 1 3 -> 0 1 2 1 3 1 3 , 31.46/8.35 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.35 4 1 0 1 1 2 5 -> 4 1 0 1 2 1 5 , 31.46/8.35 0 5 2 4 4 2 3 4 0 3 4 3 -> 0 5 2 4 4 2 3 0 4 3 4 3 , 31.46/8.35 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.35 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.35 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.35 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.35 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.35 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.35 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.35 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.35 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.35 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.35 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.35 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.35 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.35 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.35 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.35 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.35 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.35 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.35 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.35 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.35 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.35 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.35 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.35 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.35 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.35 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.35 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.35 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.35 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.35 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.35 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.35 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.35 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.35 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.35 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.35 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.35 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.35 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.35 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.35 31.46/8.35 31.46/8.35 The system was filtered by the following matrix interpretation 31.46/8.35 of type E_J with J = {1,...,2} and dimension 8: 31.46/8.35 31.46/8.35 0 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 1 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 1 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 1 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 1 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 1 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 2 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 1 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 3 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 1 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 4 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 5 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 31.46/8.35 Remains to prove termination of the 43-rule system 31.46/8.35 { 0 3 2 1 1 1 3 -> 0 1 2 1 3 1 3 , 31.46/8.35 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.35 4 1 0 1 1 2 5 -> 4 1 0 1 2 1 5 , 31.46/8.35 0 5 2 4 4 2 3 4 0 3 4 3 -> 0 5 2 4 4 2 3 0 4 3 4 3 , 31.46/8.35 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.35 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.35 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.35 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.35 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.35 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.35 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.35 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.35 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.35 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.35 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.35 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.35 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.35 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.35 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.35 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.35 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.35 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.35 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.35 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.35 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.35 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.35 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.35 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.35 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.35 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.35 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.35 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.35 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.35 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.35 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.35 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.35 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.35 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.35 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.35 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.35 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.35 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.35 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.35 31.46/8.35 31.46/8.35 The system was filtered by the following matrix interpretation 31.46/8.35 of type E_J with J = {1,...,2} and dimension 8: 31.46/8.35 31.46/8.35 0 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 1 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 1 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 1 0 0 | 31.46/8.35 | 0 0 0 0 0 0 1 0 | 31.46/8.35 | 0 0 0 0 0 0 0 1 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 2 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 1 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 3 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 1 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 4 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 5 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 31.46/8.35 Remains to prove termination of the 42-rule system 31.46/8.35 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.35 4 1 0 1 1 2 5 -> 4 1 0 1 2 1 5 , 31.46/8.35 0 5 2 4 4 2 3 4 0 3 4 3 -> 0 5 2 4 4 2 3 0 4 3 4 3 , 31.46/8.35 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.35 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.35 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.35 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.35 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.35 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.35 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.35 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.35 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.35 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.35 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.35 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.35 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.35 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.35 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.35 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.35 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.35 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.35 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.35 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.35 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.35 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.35 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.35 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.35 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.35 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.35 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.35 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.35 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.35 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.35 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.35 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.35 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.35 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.35 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.35 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.35 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.35 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.35 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.35 31.46/8.35 31.46/8.35 The system was filtered by the following matrix interpretation 31.46/8.35 of type E_J with J = {1,...,2} and dimension 8: 31.46/8.35 31.46/8.35 0 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 1 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 1 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 1 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 1 0 0 | 31.46/8.35 | 0 0 0 0 0 0 1 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 2 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 1 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 3 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 4 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 1 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 5 is interpreted by 31.46/8.35 / \ 31.46/8.35 | 1 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 0 0 0 0 0 0 0 | 31.46/8.35 | 0 1 0 0 0 0 0 0 | 31.46/8.35 \ / 31.46/8.35 31.46/8.35 Remains to prove termination of the 41-rule system 31.46/8.35 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.35 0 5 2 4 4 2 3 4 0 3 4 3 -> 0 5 2 4 4 2 3 0 4 3 4 3 , 31.46/8.35 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.35 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.35 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.35 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.35 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.35 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.35 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.35 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.35 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.35 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.35 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.35 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.35 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.35 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.35 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.35 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.35 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.35 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.35 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.35 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.35 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.35 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.35 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.35 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.35 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.35 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.35 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.35 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.35 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.35 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.35 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.35 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.35 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.35 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 13: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 40-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 3 0 5 2 5 0 0 0 3 1 5 5 -> 3 0 5 2 5 0 0 0 1 5 3 5 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.36 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 13: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 39-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 5 4 1 3 3 2 3 0 3 2 4 1 -> 5 4 3 4 3 2 1 3 0 2 3 1 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.36 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 13: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 38-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 0 4 0 1 2 4 5 5 5 3 0 3 5 1 -> 0 4 0 2 1 4 5 5 5 3 0 3 5 1 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.36 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 15: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 37-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 3 5 3 5 0 5 5 3 0 4 1 4 5 3 5 -> 3 5 3 5 0 5 5 3 0 1 4 4 5 3 5 , 31.46/8.36 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 16: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 36-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 4 3 3 1 2 0 3 0 4 4 1 0 5 0 2 -> 4 3 3 1 2 0 3 4 0 4 1 0 5 0 2 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 16: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 35-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 5 2 2 4 2 2 5 2 5 0 3 4 3 5 2 -> 5 2 2 4 2 2 2 5 5 0 3 4 3 5 2 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 16: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 34-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 0 3 5 5 1 0 2 5 1 4 5 0 0 5 2 -> 3 0 3 5 5 1 2 0 5 1 4 5 0 0 5 2 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 17: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 33-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 5 0 2 1 5 2 2 1 1 1 4 0 5 5 3 3 -> 5 0 2 1 5 2 1 2 1 1 4 0 5 5 3 3 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 17: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 32-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 5 4 1 3 1 2 3 5 5 4 1 1 0 1 0 1 0 2 -> 5 4 1 3 2 1 5 3 5 4 1 1 0 1 1 0 0 2 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 19: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 31-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 1 3 2 3 0 4 4 0 1 5 0 3 1 3 2 0 5 3 3 -> 1 3 2 3 4 0 4 0 1 5 0 3 1 3 2 0 5 3 3 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 20: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 30-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 0 0 2 0 3 0 4 3 3 2 2 5 3 3 3 0 4 1 5 1 -> 0 0 2 0 3 0 4 3 2 3 2 5 3 3 3 0 4 1 5 1 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 21: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 31.46/8.36 Remains to prove termination of the 29-rule system 31.46/8.36 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.36 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.36 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.36 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.36 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.36 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.36 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.36 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.36 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.36 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.36 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.36 5 1 1 1 0 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 -> 5 1 1 0 1 5 1 2 4 1 4 2 2 1 2 3 0 4 5 1 , 31.46/8.36 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.36 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.36 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.36 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.36 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.36 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.36 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.36 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.36 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.36 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.36 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.36 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.36 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.36 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.36 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.36 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.36 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.36 31.46/8.36 31.46/8.36 The system was filtered by the following matrix interpretation 31.46/8.36 of type E_J with J = {1,...,2} and dimension 21: 31.46/8.36 31.46/8.36 0 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 1 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 2 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 3 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 4 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 \ / 31.46/8.36 5 is interpreted by 31.46/8.36 / \ 31.46/8.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 28-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 5 3 2 2 3 3 3 3 3 2 3 4 4 3 2 3 2 1 4 3 5 3 -> 5 3 2 2 3 3 3 3 2 3 3 4 4 3 3 2 4 2 1 5 3 3 , 31.46/8.37 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.37 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.37 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 23: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 27-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 3 3 5 0 5 5 4 0 0 1 4 5 4 -> 3 3 5 0 5 5 4 0 0 1 5 4 4 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.37 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.37 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 14: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 26-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 1 3 2 3 5 5 5 4 3 4 1 0 0 5 5 2 3 2 1 2 3 3 5 3 -> 1 3 2 5 3 5 5 3 4 1 0 4 0 5 3 5 2 2 1 3 2 3 5 3 , 31.46/8.37 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.37 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 25: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 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 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 25-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 2 5 2 1 0 2 2 0 4 4 5 2 1 4 3 3 3 1 0 5 1 2 3 5 -> 2 5 2 1 0 2 2 0 4 5 4 2 1 4 3 3 3 1 0 5 1 2 3 5 , 31.46/8.37 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 25: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 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 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 24-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 5 1 2 4 -> 4 0 1 3 2 2 0 4 5 1 1 0 0 4 1 5 5 2 2 4 1 5 2 4 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 25: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 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 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 23-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 4 1 4 3 1 5 5 4 0 2 0 0 0 1 1 2 0 1 3 5 3 0 4 3 3 4 -> 4 1 4 3 1 5 5 4 0 2 0 0 1 0 1 2 0 1 3 5 3 0 4 3 3 4 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 27: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 3 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 4 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 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 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 5 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 31.46/8.37 Remains to prove termination of the 22-rule system 31.46/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.46/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.46/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.46/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.46/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.46/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.46/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.46/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.46/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.46/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.46/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.46/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.46/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.46/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.46/8.37 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 4 1 4 1 3 5 2 3 0 5 5 -> 5 2 4 1 4 4 5 4 0 0 1 2 5 2 0 3 1 4 4 1 3 5 2 3 0 5 5 , 31.46/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.46/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.46/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.46/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.46/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.46/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.46/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.46/8.37 31.46/8.37 31.46/8.37 The system was filtered by the following matrix interpretation 31.46/8.37 of type E_J with J = {1,...,2} and dimension 28: 31.46/8.37 31.46/8.37 0 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 1 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 \ / 31.46/8.37 2 is interpreted by 31.46/8.37 / \ 31.46/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.46/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 3 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 4 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 5 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 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 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 31.61/8.37 Remains to prove termination of the 21-rule system 31.61/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.37 1 4 1 2 3 3 3 3 5 5 4 2 3 1 5 4 1 3 1 1 0 5 1 3 3 1 0 5 -> 1 1 2 4 3 3 5 3 3 5 4 2 3 1 1 5 3 4 1 0 1 3 5 1 3 0 1 5 , 31.61/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.61/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.61/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.61/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.61/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.37 31.61/8.37 31.61/8.37 The system was filtered by the following matrix interpretation 31.61/8.37 of type E_J with J = {1,...,2} and dimension 29: 31.61/8.37 31.61/8.37 0 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 1 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 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 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 2 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 3 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 4 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 5 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 31.61/8.37 Remains to prove termination of the 20-rule system 31.61/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.37 4 3 2 1 3 5 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 -> 4 3 2 1 5 3 0 4 3 3 2 2 3 0 4 4 3 1 5 4 2 3 3 5 4 4 5 1 , 31.61/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.61/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.61/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.61/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.37 31.61/8.37 31.61/8.37 The system was filtered by the following matrix interpretation 31.61/8.37 of type E_J with J = {1,...,2} and dimension 29: 31.61/8.37 31.61/8.37 0 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 1 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 2 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 3 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 4 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 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 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 5 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 31.61/8.37 Remains to prove termination of the 19-rule system 31.61/8.37 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.37 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.37 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.37 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.37 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.37 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.37 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.37 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.37 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.37 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.37 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.37 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.37 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.37 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.37 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.37 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 1 2 2 4 5 3 4 -> 4 4 4 5 1 5 5 4 2 4 0 3 1 1 5 4 1 4 4 1 4 0 2 1 2 4 5 3 4 , 31.61/8.37 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.61/8.37 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.61/8.37 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.37 31.61/8.37 31.61/8.37 The system was filtered by the following matrix interpretation 31.61/8.37 of type E_J with J = {1,...,2} and dimension 30: 31.61/8.37 31.61/8.37 0 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 1 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 2 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 3 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 \ / 31.61/8.37 4 is interpreted by 31.61/8.37 / \ 31.61/8.37 | 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 | 31.61/8.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 18-rule system 31.61/8.38 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.38 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.38 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.38 1 0 0 1 0 1 3 2 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 -> 1 0 0 1 0 1 2 3 5 1 2 0 2 4 5 2 0 5 5 2 0 3 4 5 2 1 0 4 2 1 , 31.61/8.38 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.61/8.38 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 31: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 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 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 17-rule system 31.61/8.38 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.38 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.38 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.38 2 5 3 0 1 5 0 3 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 -> 2 5 3 0 1 5 3 0 2 3 3 2 2 2 1 4 5 5 5 5 0 4 4 3 3 1 1 2 5 1 , 31.61/8.38 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 31: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 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 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 16-rule system 31.61/8.38 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.38 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.38 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 , 31.61/8.38 3 5 1 1 3 4 5 3 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 -> 3 5 1 1 3 4 3 5 4 5 0 1 1 5 3 5 5 3 1 2 2 2 4 2 2 2 5 3 4 1 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 31: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 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 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 15-rule system 31.61/8.38 { 4 0 3 3 3 0 4 -> 0 4 3 3 3 0 4 , 31.61/8.38 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.38 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 8: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 14-rule system 31.61/8.38 { 5 0 5 0 3 5 3 0 5 2 3 0 -> 5 0 5 0 3 5 3 5 0 2 3 0 , 31.61/8.38 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 13: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 13-rule system 31.61/8.38 { 4 3 1 0 0 0 1 4 5 4 4 4 0 -> 4 3 1 0 0 0 1 5 4 4 4 4 0 , 31.61/8.38 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 14: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 12-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 1 2 4 2 5 1 3 3 0 0 2 1 0 -> 3 1 2 4 5 2 1 3 3 0 0 2 1 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 15: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 11-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 3 2 2 3 5 5 5 2 1 2 1 4 5 4 0 -> 3 2 3 5 5 2 1 2 1 5 2 5 4 4 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 16: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 10-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 1 2 4 5 0 3 2 5 1 0 5 4 2 1 0 0 -> 1 2 4 5 0 3 2 5 0 1 5 4 1 2 0 0 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 17: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 9-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 3 5 0 4 1 3 0 1 1 4 2 0 4 0 4 3 1 2 0 -> 5 5 3 5 0 4 1 3 0 1 1 4 2 4 0 0 4 3 1 2 0 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 22: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 8-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 5 5 4 2 2 5 4 1 5 5 1 2 3 5 5 5 3 4 4 1 4 4 3 0 -> 5 5 4 5 1 2 2 5 4 1 5 5 5 2 3 4 4 3 5 1 4 4 3 0 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 25: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 5 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 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 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 31.61/8.38 Remains to prove termination of the 7-rule system 31.61/8.38 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.38 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.38 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.38 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.38 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.38 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 , 31.61/8.38 3 5 2 4 2 1 2 3 0 2 2 2 4 3 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 -> 3 5 2 4 2 1 2 3 0 2 2 2 3 4 2 2 4 0 2 3 3 0 0 1 3 0 3 5 0 } 31.61/8.38 31.61/8.38 31.61/8.38 The system was filtered by the following matrix interpretation 31.61/8.38 of type E_J with J = {1,...,2} and dimension 30: 31.61/8.38 31.61/8.38 0 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 1 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 2 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 3 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 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 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 \ / 31.61/8.38 4 is interpreted by 31.61/8.38 / \ 31.61/8.38 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.38 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 6-rule system 31.61/8.39 { 1 0 2 4 1 0 3 1 1 5 1 1 5 0 -> 1 0 2 4 0 1 3 1 1 5 1 1 5 0 , 31.61/8.39 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.39 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.39 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.39 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.39 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 15: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 5-rule system 31.61/8.39 { 1 0 5 1 3 2 0 4 5 1 5 1 5 5 0 1 -> 1 5 0 1 3 2 0 4 5 1 5 1 5 5 0 1 , 31.61/8.39 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.39 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.39 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.39 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 17: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 4-rule system 31.61/8.39 { 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.39 3 2 0 3 5 4 2 2 1 2 3 3 0 1 2 2 5 1 1 5 -> 3 2 3 3 1 4 0 2 2 1 5 0 5 2 3 2 1 2 1 5 , 31.61/8.39 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.39 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 21: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 3-rule system 31.61/8.39 { 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.39 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 , 31.61/8.39 2 3 5 3 4 2 1 5 3 5 0 3 5 3 1 0 3 5 1 1 1 4 0 1 5 -> 2 3 5 4 3 2 1 5 3 5 0 3 5 3 1 0 5 3 1 1 1 4 0 1 5 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 26: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 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 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 2-rule system 31.61/8.39 { 1 2 0 5 2 2 0 3 5 1 3 5 5 2 0 1 -> 1 2 0 5 2 2 0 3 5 1 5 3 5 2 0 1 , 31.61/8.39 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 17: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 1-rule system 31.61/8.39 { 0 4 1 5 2 1 2 1 0 1 1 1 1 2 5 3 0 5 0 2 1 1 2 0 1 -> 0 1 2 2 4 5 1 5 1 1 0 2 1 0 5 1 3 1 1 0 2 1 2 0 1 } 31.61/8.39 31.61/8.39 31.61/8.39 The system was filtered by the following matrix interpretation 31.61/8.39 of type E_J with J = {1,...,2} and dimension 26: 31.61/8.39 31.61/8.39 0 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 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 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 1 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 2 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 3 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 4 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 5 is interpreted by 31.61/8.39 / \ 31.61/8.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.61/8.39 \ / 31.61/8.39 31.61/8.39 Remains to prove termination of the 0-rule system 31.61/8.39 { } 31.61/8.39 31.61/8.39 31.61/8.39 The system is trivially terminating. 31.61/8.45 EOF