29.88/7.92 YES 31.33/8.28 31.33/8.28 31.33/8.28 The system was filtered by the following matrix interpretation 31.33/8.28 of type E_J with J = {1,...,2} and dimension 2: 31.33/8.28 31.33/8.28 0 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 1 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 2 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 3 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 4 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 5 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 31.33/8.28 Remains to prove termination of the 48-rule system 31.33/8.28 { 0 0 1 2 0 1 -> 0 0 2 1 0 1 , 31.33/8.28 2 2 0 3 2 2 3 -> 2 0 2 3 2 2 3 , 31.33/8.28 4 3 0 1 0 1 2 5 5 -> 4 3 0 1 2 0 1 5 5 , 31.33/8.28 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.28 0 1 2 0 3 1 3 0 4 3 -> 0 2 1 2 0 4 4 2 4 4 , 31.33/8.28 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.28 1 3 1 1 1 1 1 5 2 5 -> 1 3 5 2 0 2 2 3 4 4 , 31.33/8.28 1 3 4 1 1 3 5 0 2 1 -> 1 1 4 0 0 0 4 0 3 1 , 31.33/8.28 4 4 2 4 4 3 3 4 5 1 -> 4 4 2 2 2 4 4 2 0 2 , 31.33/8.28 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.28 5 2 3 5 5 5 5 4 2 2 -> 3 4 3 3 0 2 5 4 4 2 , 31.33/8.28 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.28 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.28 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.28 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.28 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.28 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.28 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.28 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.28 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.28 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.28 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.28 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.28 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.28 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.28 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.28 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.28 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.28 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.28 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.28 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.28 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.28 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.28 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.28 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.28 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.28 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.28 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.28 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.28 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.28 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.28 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.28 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.28 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.28 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.28 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.28 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.28 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.28 31.33/8.28 31.33/8.28 The system was filtered by the following matrix interpretation 31.33/8.28 of type E_J with J = {1,...,2} and dimension 2: 31.33/8.28 31.33/8.28 0 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 1 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 2 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 3 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 4 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 5 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 31.33/8.28 Remains to prove termination of the 44-rule system 31.33/8.28 { 0 0 1 2 0 1 -> 0 0 2 1 0 1 , 31.33/8.28 2 2 0 3 2 2 3 -> 2 0 2 3 2 2 3 , 31.33/8.28 4 3 0 1 0 1 2 5 5 -> 4 3 0 1 2 0 1 5 5 , 31.33/8.28 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.28 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.28 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.28 5 2 3 5 5 5 5 4 2 2 -> 3 4 3 3 0 2 5 4 4 2 , 31.33/8.28 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.28 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.28 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.28 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.28 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.28 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.28 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.28 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.28 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.28 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.28 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.28 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.28 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.28 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.28 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.28 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.28 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.28 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.28 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.28 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.28 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.28 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.28 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.28 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.28 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.28 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.28 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.28 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.28 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.28 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.28 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.28 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.28 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.28 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.28 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.28 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.28 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.28 31.33/8.28 31.33/8.28 The system was filtered by the following matrix interpretation 31.33/8.28 of type E_J with J = {1,...,2} and dimension 2: 31.33/8.28 31.33/8.28 0 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 1 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 2 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 1 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 3 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 4 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 5 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 | 31.33/8.28 | 0 1 | 31.33/8.28 \ / 31.33/8.28 31.33/8.28 Remains to prove termination of the 43-rule system 31.33/8.28 { 0 0 1 2 0 1 -> 0 0 2 1 0 1 , 31.33/8.28 2 2 0 3 2 2 3 -> 2 0 2 3 2 2 3 , 31.33/8.28 4 3 0 1 0 1 2 5 5 -> 4 3 0 1 2 0 1 5 5 , 31.33/8.28 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.28 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.28 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.28 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.28 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.28 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.28 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.28 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.28 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.28 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.28 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.28 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.28 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.28 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.28 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.28 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.28 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.28 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.28 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.28 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.28 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.28 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.28 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.28 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.28 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.28 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.28 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.28 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.28 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.28 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.28 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.28 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.28 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.28 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.28 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.28 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.28 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.28 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.28 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.28 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.28 31.33/8.28 31.33/8.28 The system was filtered by the following matrix interpretation 31.33/8.28 of type E_J with J = {1,...,2} and dimension 7: 31.33/8.28 31.33/8.28 0 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 1 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 1 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 1 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 1 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 1 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 2 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 1 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 3 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 4 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 5 is interpreted by 31.33/8.28 / \ 31.33/8.28 | 1 0 0 0 0 0 0 | 31.33/8.28 | 0 1 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 | 0 0 0 0 0 0 0 | 31.33/8.28 \ / 31.33/8.28 31.33/8.28 Remains to prove termination of the 42-rule system 31.33/8.28 { 2 2 0 3 2 2 3 -> 2 0 2 3 2 2 3 , 31.33/8.28 4 3 0 1 0 1 2 5 5 -> 4 3 0 1 2 0 1 5 5 , 31.33/8.28 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.28 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.28 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.28 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.28 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.28 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.28 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 8: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 41-rule system 31.33/8.29 { 4 3 0 1 0 1 2 5 5 -> 4 3 0 1 2 0 1 5 5 , 31.33/8.29 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.29 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.29 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.29 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 10: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 40-rule system 31.33/8.29 { 4 3 4 0 2 2 2 4 2 -> 4 3 4 2 2 0 2 4 2 , 31.33/8.29 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.29 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.29 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 10: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 39-rule system 31.33/8.29 { 0 5 4 4 1 1 5 1 1 2 -> 0 5 5 4 1 1 1 4 1 2 , 31.33/8.29 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.29 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 11: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 38-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 1 1 0 0 4 1 5 0 3 3 0 -> 1 1 0 0 1 4 5 0 3 3 0 , 31.33/8.29 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 12: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 37-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 2 0 0 2 4 0 3 5 0 0 1 -> 2 0 0 0 0 4 2 5 3 0 1 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 12: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 36-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 4 3 5 1 0 3 5 2 4 2 4 -> 4 3 5 1 0 3 2 5 4 2 4 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 12: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 35-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 0 0 1 3 1 0 1 2 3 1 2 4 2 -> 4 0 0 1 3 1 1 0 2 3 1 2 4 2 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 15: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 34-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 1 5 2 4 1 5 5 2 1 2 3 5 1 2 3 2 -> 1 5 2 4 1 5 5 2 1 3 2 5 1 2 3 2 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 17: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 33-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 4 2 2 2 4 5 1 5 0 4 2 1 2 4 4 1 -> 4 2 2 2 4 5 1 5 0 4 2 2 1 4 4 1 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 17: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 32-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 5 4 2 1 5 5 4 4 5 0 2 0 0 1 3 4 -> 5 4 2 1 5 5 4 5 4 0 2 0 0 1 3 4 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 17: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 31-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 2 0 3 0 3 5 3 4 3 0 1 2 3 2 2 0 0 -> 2 0 3 0 3 5 3 4 3 0 1 2 2 3 2 0 0 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 18: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 30-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 2 2 4 3 0 4 2 3 5 2 2 4 4 1 2 0 5 -> 2 2 4 3 0 4 2 5 3 2 2 4 4 1 2 0 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 18: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 29-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 0 0 0 0 2 5 1 2 2 3 3 1 0 0 4 2 3 5 -> 0 0 0 0 2 5 1 2 3 2 3 1 0 0 4 2 3 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.29 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.29 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.29 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.29 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.29 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.29 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.29 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.29 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.29 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.29 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.29 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.29 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.29 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.29 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.29 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.29 31.33/8.29 31.33/8.29 The system was filtered by the following matrix interpretation 31.33/8.29 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.29 31.33/8.29 0 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 1 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 2 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 3 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 4 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 5 is interpreted by 31.33/8.29 / \ 31.33/8.29 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.29 \ / 31.33/8.29 31.33/8.29 Remains to prove termination of the 28-rule system 31.33/8.29 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.29 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.29 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.29 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.29 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.29 0 3 2 1 0 4 2 2 2 4 3 4 0 3 2 4 4 3 -> 0 3 2 1 0 4 2 2 2 4 3 0 4 3 2 4 4 3 , 31.33/8.29 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.29 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.29 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.29 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.29 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.29 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.29 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 27-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 2 2 0 3 2 0 0 4 3 1 2 0 1 1 2 4 2 3 -> 2 2 0 3 2 0 0 4 3 1 2 0 1 2 1 4 2 3 , 31.33/8.30 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.30 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.30 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 26-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 2 3 1 4 5 0 4 2 1 4 5 1 5 4 5 5 0 2 -> 2 3 1 4 5 0 2 4 1 4 5 1 5 4 5 5 0 2 , 31.33/8.30 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.30 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 25-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 4 2 0 5 0 4 3 1 4 5 4 2 4 2 4 5 2 5 -> 4 2 0 5 4 0 3 1 4 5 4 2 4 2 4 5 2 5 , 31.33/8.30 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 24-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 4 4 3 5 3 1 5 0 1 0 4 2 0 2 2 3 0 5 -> 4 4 5 3 1 5 3 0 1 0 2 4 0 2 3 0 2 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 23-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 5 1 1 5 2 5 0 5 4 4 5 3 -> 5 1 1 5 2 0 5 5 4 4 5 3 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 13: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 22-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 5 1 2 2 4 1 1 1 4 4 1 3 1 5 0 1 1 5 -> 5 1 2 4 2 1 1 1 4 4 1 5 3 1 0 1 1 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 19: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 21-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 5 1 2 2 2 5 1 3 5 4 2 2 5 5 0 5 2 3 5 -> 5 1 2 2 2 5 3 1 5 4 2 2 5 5 0 5 2 3 5 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 20: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 20-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 0 4 1 3 0 1 0 1 3 4 0 3 5 5 4 2 2 2 0 0 -> 0 4 1 3 1 0 0 1 3 4 0 3 5 5 4 2 2 2 0 0 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 21: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 19-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 1 0 5 5 1 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 -> 1 0 5 1 5 1 5 0 0 4 1 0 2 0 0 1 3 1 4 1 2 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 22: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 18-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 0 0 1 3 0 4 3 1 5 4 5 2 1 4 5 1 2 3 4 2 0 2 -> 0 0 1 3 0 4 3 5 1 4 5 2 1 4 5 1 2 3 4 2 0 2 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.30 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.30 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.30 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.30 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.30 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.30 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.30 31.33/8.30 31.33/8.30 The system was filtered by the following matrix interpretation 31.33/8.30 of type E_J with J = {1,...,2} and dimension 23: 31.33/8.30 31.33/8.30 0 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 1 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 2 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 3 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 4 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 5 is interpreted by 31.33/8.30 / \ 31.33/8.30 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.30 \ / 31.33/8.30 31.33/8.30 Remains to prove termination of the 17-rule system 31.33/8.30 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.30 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.30 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.30 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.30 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.30 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.30 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.30 2 1 3 1 3 2 5 5 3 4 4 2 4 4 2 2 4 5 2 5 1 4 4 2 -> 2 1 3 1 3 2 5 5 3 4 4 2 4 2 4 2 4 5 2 5 1 4 4 2 , 31.33/8.30 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.30 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.30 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.31 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.31 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 25: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 16-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 1 3 3 3 0 -> 2 3 0 0 0 1 2 3 0 5 3 3 5 0 4 4 2 2 5 3 1 3 3 0 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.31 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.31 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 25: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 15-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 2 2 5 5 4 0 0 5 0 1 4 2 2 5 4 0 3 0 1 4 0 5 1 -> 4 2 2 5 5 4 0 0 5 0 1 4 2 2 4 5 0 3 0 1 4 0 5 1 , 31.33/8.31 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.31 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 25: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 14-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 5 3 5 5 4 5 2 3 5 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 -> 5 3 5 5 4 5 2 5 3 2 3 4 0 1 5 0 3 0 3 2 5 2 2 4 , 31.33/8.31 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 25: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 13-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 3 5 1 0 0 5 5 0 0 5 -> 5 5 5 5 4 2 4 5 3 2 2 1 1 3 4 0 5 3 1 0 0 5 5 0 0 5 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 27: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 12-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 1 5 1 0 0 0 5 0 5 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 -> 1 5 1 0 0 0 5 5 0 2 3 3 0 4 2 2 0 4 1 5 2 0 2 0 1 3 5 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 28: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 11-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 5 1 1 5 4 0 3 1 1 5 0 1 1 3 4 3 5 3 2 1 2 5 1 0 1 2 5 0 -> 5 1 1 5 4 0 3 1 1 5 0 1 3 1 4 3 5 3 2 1 2 5 1 0 1 2 5 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 29: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 10-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 , 31.33/8.31 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 4 2 0 3 3 1 0 4 3 -> 3 0 1 0 2 3 2 3 0 2 0 1 4 3 4 5 2 5 1 1 0 2 4 0 3 3 1 0 4 3 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 31: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 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 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 9-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 3 1 2 4 1 2 3 5 0 3 1 5 1 -> 3 1 0 2 3 1 1 2 4 5 5 1 3 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 14: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 8-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 2 4 2 4 2 3 1 0 4 2 2 3 5 -> 3 2 4 2 3 2 4 2 3 1 2 0 4 5 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 15: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 7-rule system 31.33/8.31 { 4 5 4 5 2 5 4 1 2 2 -> 4 5 4 5 5 2 4 1 2 2 , 31.33/8.31 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 11: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 31.33/8.31 Remains to prove termination of the 6-rule system 31.33/8.31 { 4 5 3 0 0 3 4 0 0 0 0 4 1 -> 4 5 3 0 0 3 0 4 0 0 0 4 1 , 31.33/8.31 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.31 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.31 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.31 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.31 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.31 31.33/8.31 31.33/8.31 The system was filtered by the following matrix interpretation 31.33/8.31 of type E_J with J = {1,...,2} and dimension 14: 31.33/8.31 31.33/8.31 0 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 1 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 2 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 3 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 4 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 \ / 31.33/8.31 5 is interpreted by 31.33/8.31 / \ 31.33/8.31 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.31 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 5-rule system 31.33/8.32 { 3 3 5 5 5 0 2 2 5 3 3 2 3 2 5 0 3 2 4 -> 3 3 5 5 5 0 2 2 5 3 2 3 3 2 5 0 3 2 4 , 31.33/8.32 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.32 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.32 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.32 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.32 31.33/8.32 31.33/8.32 The system was filtered by the following matrix interpretation 31.33/8.32 of type E_J with J = {1,...,2} and dimension 20: 31.33/8.32 31.33/8.32 0 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 1 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 2 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 3 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 4 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 5 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 4-rule system 31.33/8.32 { 3 3 0 2 2 3 4 2 1 1 3 2 1 1 4 1 4 2 0 3 -> 3 3 0 2 3 2 4 2 1 1 3 2 1 1 4 1 4 2 0 3 , 31.33/8.32 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.32 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.32 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.32 31.33/8.32 31.33/8.32 The system was filtered by the following matrix interpretation 31.33/8.32 of type E_J with J = {1,...,2} and dimension 21: 31.33/8.32 31.33/8.32 0 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 1 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 2 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 3 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 4 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 5 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 3-rule system 31.33/8.32 { 3 1 2 3 1 1 4 4 3 4 4 4 4 4 5 3 4 1 0 1 1 -> 3 1 2 1 3 4 1 4 3 4 4 4 4 4 5 3 4 1 0 1 1 , 31.33/8.32 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.32 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.32 31.33/8.32 31.33/8.32 The system was filtered by the following matrix interpretation 31.33/8.32 of type E_J with J = {1,...,2} and dimension 22: 31.33/8.32 31.33/8.32 0 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 1 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 2 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 3 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 4 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 5 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 2-rule system 31.33/8.32 { 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 5 3 5 5 4 3 4 4 -> 3 0 0 5 0 5 5 1 2 3 0 3 5 4 5 2 3 5 5 5 4 3 4 4 , 31.33/8.32 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.32 31.33/8.32 31.33/8.32 The system was filtered by the following matrix interpretation 31.33/8.32 of type E_J with J = {1,...,2} and dimension 25: 31.33/8.32 31.33/8.32 0 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 1 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 2 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 3 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 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 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 4 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 5 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 1-rule system 31.33/8.32 { 4 5 1 1 1 5 3 5 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 -> 4 5 1 1 1 5 5 3 3 2 2 4 1 2 2 1 0 2 0 4 0 0 3 1 1 3 1 0 } 31.33/8.32 31.33/8.32 31.33/8.32 The system was filtered by the following matrix interpretation 31.33/8.32 of type E_J with J = {1,...,2} and dimension 29: 31.33/8.32 31.33/8.32 0 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 1 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 2 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 3 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 4 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 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 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 5 is interpreted by 31.33/8.32 / \ 31.33/8.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.33/8.32 \ / 31.33/8.32 31.33/8.32 Remains to prove termination of the 0-rule system 31.33/8.32 { } 31.33/8.32 31.33/8.32 31.33/8.32 The system is trivially terminating. 31.49/8.37 EOF