28.19/7.38 YES 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 2: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 43-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 1 1 2 4 4 5 1 -> 1 1 1 5 1 4 4 2 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 1 0 0 2 2 2 5 2 3 3 -> 0 1 2 3 0 0 5 5 4 3 , 30.24/8.02 1 2 2 5 1 1 2 4 2 0 -> 2 4 1 5 4 3 4 1 3 0 , 30.24/8.02 3 5 2 1 2 0 5 4 2 4 -> 3 5 2 1 2 5 0 4 2 4 , 30.24/8.02 4 2 2 2 2 4 4 4 1 3 -> 4 5 5 0 3 5 0 2 5 1 , 30.24/8.02 5 0 1 5 1 2 2 1 4 1 -> 5 0 1 1 5 2 2 1 4 1 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 2: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 42-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 1 1 2 4 4 5 1 -> 1 1 1 5 1 4 4 2 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 1 0 0 2 2 2 5 2 3 3 -> 0 1 2 3 0 0 5 5 4 3 , 30.24/8.02 3 5 2 1 2 0 5 4 2 4 -> 3 5 2 1 2 5 0 4 2 4 , 30.24/8.02 4 2 2 2 2 4 4 4 1 3 -> 4 5 5 0 3 5 0 2 5 1 , 30.24/8.02 5 0 1 5 1 2 2 1 4 1 -> 5 0 1 1 5 2 2 1 4 1 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 2: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 1 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 | 30.24/8.02 | 0 1 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 40-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 1 1 2 4 4 5 1 -> 1 1 1 5 1 4 4 2 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 3 5 2 1 2 0 5 4 2 4 -> 3 5 2 1 2 5 0 4 2 4 , 30.24/8.02 5 0 1 5 1 2 2 1 4 1 -> 5 0 1 1 5 2 2 1 4 1 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 9: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 39-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 3 5 2 1 2 0 5 4 2 4 -> 3 5 2 1 2 5 0 4 2 4 , 30.24/8.02 5 0 1 5 1 2 2 1 4 1 -> 5 0 1 1 5 2 2 1 4 1 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 11: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 38-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 5 0 1 5 1 2 2 1 4 1 -> 5 0 1 1 5 2 2 1 4 1 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 11: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 37-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 2 5 1 2 0 0 5 1 5 0 4 2 5 4 -> 2 5 2 1 0 5 5 1 0 4 0 2 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 15: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 36-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 3 1 4 0 4 1 0 2 0 0 3 0 4 5 -> 3 1 4 0 1 4 0 2 0 0 3 0 4 5 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 15: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 4 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 5 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 30.24/8.02 Remains to prove termination of the 35-rule system 30.24/8.02 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.02 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.02 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.02 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.02 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.02 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.02 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.02 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.02 3 5 3 3 2 5 0 0 2 2 0 4 1 4 5 -> 3 5 3 3 2 5 0 0 2 2 4 0 1 4 5 , 30.24/8.02 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.02 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.02 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.02 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.02 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.02 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.02 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.02 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.02 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.02 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.02 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.02 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.02 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.02 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.02 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.02 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.02 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.02 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.02 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.02 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.02 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.02 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.02 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.02 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.02 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.02 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.02 30.24/8.02 30.24/8.02 The system was filtered by the following matrix interpretation 30.24/8.02 of type E_J with J = {1,...,2} and dimension 16: 30.24/8.02 30.24/8.02 0 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 1 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 2 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 \ / 30.24/8.02 3 is interpreted by 30.24/8.02 / \ 30.24/8.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 34-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 5 0 3 4 1 5 5 0 0 0 3 4 4 1 1 -> 3 4 0 0 1 4 3 5 5 5 1 0 0 4 1 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.03 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 16: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 33-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 3 1 2 4 5 3 3 -> 3 1 5 4 2 3 3 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.03 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 8: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 32-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 1 3 3 2 4 2 2 2 1 5 2 0 5 5 4 5 -> 1 3 3 2 4 2 2 2 1 5 2 5 0 5 4 5 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.03 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 17: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 31-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 1 2 2 0 3 2 3 2 3 0 1 5 0 0 5 5 3 0 5 3 -> 1 2 2 0 3 2 3 2 3 0 1 5 0 5 0 5 3 0 5 3 , 30.24/8.03 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 21: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 30-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 2 5 5 2 0 3 1 2 3 4 5 3 4 2 3 3 1 4 1 1 4 -> 2 5 5 2 0 3 1 2 4 3 5 3 4 2 3 3 1 4 1 1 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 22: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 29-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 3 4 4 5 1 2 1 0 4 4 0 1 3 4 4 3 5 2 1 1 1 -> 3 4 4 5 2 1 0 1 4 4 4 0 1 4 3 3 1 1 5 2 1 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 22: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 28-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 4 2 1 0 2 0 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 -> 4 2 1 0 0 2 1 3 3 1 4 0 1 4 4 4 3 5 5 0 4 5 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 23: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 27-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 5 0 4 1 0 1 0 3 1 1 0 3 3 4 5 5 2 5 0 3 1 0 2 -> 5 0 1 4 0 1 0 3 1 1 0 3 3 5 4 5 2 5 0 3 1 0 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 24: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 26-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 3 0 1 2 2 1 2 1 5 4 1 3 5 4 2 4 0 3 3 3 1 3 5 1 -> 3 0 1 2 2 1 2 1 5 4 1 3 4 5 2 4 0 3 3 3 1 3 5 1 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 25: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 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 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 25-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 3 3 0 4 4 3 3 1 3 0 3 5 4 1 0 1 0 5 2 3 4 1 3 4 1 -> 3 3 0 4 4 3 3 1 3 3 0 5 4 1 0 1 0 5 2 3 4 1 3 4 1 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 26: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 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 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 5 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 30.24/8.03 Remains to prove termination of the 24-rule system 30.24/8.03 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.03 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.03 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.03 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.03 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.03 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.03 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.03 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.03 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.03 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.03 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.03 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.03 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.03 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.03 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 3 4 5 1 -> 4 5 5 5 4 2 1 4 2 1 2 1 5 1 0 0 0 0 5 4 1 4 3 5 1 , 30.24/8.03 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.03 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.03 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.03 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.03 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.03 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.03 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.03 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.03 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.03 30.24/8.03 30.24/8.03 The system was filtered by the following matrix interpretation 30.24/8.03 of type E_J with J = {1,...,2} and dimension 26: 30.24/8.03 30.24/8.03 0 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 1 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 2 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 3 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 \ / 30.24/8.03 4 is interpreted by 30.24/8.03 / \ 30.24/8.03 | 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 | 30.24/8.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 \ / 30.24/8.04 5 is interpreted by 30.24/8.04 / \ 30.24/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 \ / 30.24/8.04 30.24/8.04 Remains to prove termination of the 23-rule system 30.24/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.24/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.24/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.24/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.24/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.24/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.24/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.24/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.24/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.24/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.24/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.24/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.24/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.24/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.24/8.04 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 4 2 4 2 1 1 1 1 3 -> 4 2 4 0 2 0 0 1 4 4 4 2 1 0 0 4 5 2 4 4 2 1 1 1 1 3 , 30.24/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.24/8.04 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.24/8.04 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.24/8.04 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.24/8.04 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.24/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.24/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.24/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.24/8.04 30.24/8.04 30.24/8.04 The system was filtered by the following matrix interpretation 30.24/8.04 of type E_J with J = {1,...,2} and dimension 27: 30.24/8.04 30.24/8.04 0 is interpreted by 30.24/8.04 / \ 30.24/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.24/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 22-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 5 2 0 0 1 3 0 5 3 1 4 4 0 5 3 5 5 2 3 4 3 5 0 0 4 3 3 -> 5 2 0 0 1 3 0 5 3 1 4 4 0 5 5 3 5 2 3 4 3 5 0 0 4 3 3 , 30.47/8.04 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.47/8.04 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.47/8.04 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.47/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 28: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 21-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 2 5 2 0 0 3 1 1 4 1 0 3 4 4 4 3 5 0 5 4 0 3 5 3 4 4 2 3 -> 2 5 2 0 0 3 1 1 3 4 1 0 4 4 4 3 5 0 5 4 3 0 3 5 4 4 2 3 , 30.47/8.04 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.47/8.04 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.47/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 29: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 20-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 2 5 4 2 5 3 2 3 3 4 5 5 2 1 5 1 3 1 0 2 3 5 4 0 2 5 1 5 -> 2 5 5 4 3 2 3 5 4 5 2 3 2 5 1 5 1 4 2 1 1 2 5 3 3 0 0 5 , 30.47/8.04 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.47/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 29: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 19-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 5 3 4 4 3 4 0 4 5 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 -> 5 3 4 4 3 4 0 5 4 3 3 4 2 4 5 2 2 2 2 0 2 0 1 2 1 3 2 0 , 30.47/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 29: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 18-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 4 2 4 1 1 1 3 1 0 5 4 1 3 0 3 0 2 0 2 2 5 0 2 1 2 1 2 0 3 -> 4 2 4 1 1 3 1 2 1 4 0 3 1 3 5 2 0 0 0 0 5 0 2 2 2 1 1 2 3 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 30: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 17-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 4 5 2 5 5 0 5 5 4 1 2 1 0 5 3 1 2 3 0 2 5 0 0 1 1 3 4 0 1 -> 4 5 2 5 5 0 5 5 4 1 2 1 0 5 1 3 2 3 0 2 5 0 0 1 1 3 4 0 1 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 30: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 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 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 5 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 30.47/8.04 Remains to prove termination of the 16-rule system 30.47/8.04 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.04 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.04 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.04 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.04 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.04 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.04 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.04 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.04 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.04 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.04 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.04 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.04 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.04 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.04 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 , 30.47/8.04 5 0 0 0 3 5 5 5 4 0 0 5 5 2 0 2 4 0 0 0 4 1 5 0 4 1 5 5 4 -> 5 0 0 0 3 5 5 5 4 0 0 5 5 2 2 0 4 0 0 0 4 1 5 4 0 1 5 5 4 } 30.47/8.04 30.47/8.04 30.47/8.04 The system was filtered by the following matrix interpretation 30.47/8.04 of type E_J with J = {1,...,2} and dimension 30: 30.47/8.04 30.47/8.04 0 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 1 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 2 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 3 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 \ / 30.47/8.04 4 is interpreted by 30.47/8.04 / \ 30.47/8.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 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 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 15-rule system 30.47/8.05 { 0 0 1 2 3 3 1 -> 0 0 1 3 2 3 1 , 30.47/8.05 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.05 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.05 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.05 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.05 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 8: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 14-rule system 30.47/8.05 { 0 3 3 2 0 2 2 -> 0 3 2 3 2 0 2 , 30.47/8.05 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.05 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.05 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.05 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 8: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 13-rule system 30.47/8.05 { 4 3 4 1 2 4 4 -> 4 4 1 4 3 2 4 , 30.47/8.05 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.05 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.05 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 8: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 1 0 0 0 0 1 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 12-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.05 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 , 30.47/8.05 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 2 4 2 3 0 4 5 3 0 -> 0 1 0 0 0 5 4 5 4 5 2 2 4 0 5 5 2 2 4 2 2 3 0 4 5 3 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 28: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 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 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 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 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 11-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 , 30.47/8.05 2 4 4 3 3 3 0 3 1 3 2 5 3 2 0 3 1 3 3 3 1 3 2 -> 2 4 3 4 3 3 0 3 3 5 2 1 2 3 0 3 1 3 3 3 1 3 2 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 24: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 10-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 0 1 0 5 5 2 2 5 1 0 0 5 4 -> 1 0 1 0 5 5 2 2 1 5 0 0 5 4 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 15: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 9-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 1 1 4 0 3 4 1 0 1 1 2 0 3 2 0 4 -> 1 1 0 1 4 4 0 1 3 1 0 0 3 2 2 4 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 17: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 8-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 5 0 4 2 4 0 1 1 3 2 1 0 5 0 3 1 -> 0 5 0 4 2 4 0 1 1 3 2 1 0 0 5 3 1 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 18: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 7-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 0 5 1 5 3 4 2 5 5 1 5 1 0 2 0 4 1 -> 0 0 5 1 5 3 4 2 5 5 1 5 1 0 0 2 4 1 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 19: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 6-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 1 2 0 0 0 0 0 2 3 4 4 4 5 1 5 5 5 5 -> 0 4 0 1 5 2 4 3 0 0 0 4 5 5 5 5 2 1 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 20: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 5-rule system 30.47/8.05 { 0 3 1 2 1 2 0 4 -> 0 3 0 1 2 2 1 4 , 30.47/8.05 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 9: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 4-rule system 30.47/8.05 { 1 4 4 3 4 2 3 0 0 -> 1 4 3 0 4 3 2 4 0 , 30.47/8.05 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 10: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 3-rule system 30.47/8.05 { 2 1 4 5 0 4 0 1 0 1 2 0 -> 2 1 4 5 0 4 0 0 1 1 2 0 , 30.47/8.05 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 13: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 2-rule system 30.47/8.05 { 0 3 5 4 5 5 3 4 4 1 2 1 2 2 0 1 2 4 2 4 -> 0 3 5 4 5 3 5 4 4 1 1 2 2 1 2 0 2 4 2 4 , 30.47/8.05 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 21: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 1-rule system 30.47/8.05 { 0 1 1 4 3 2 3 3 5 5 4 5 3 3 4 1 2 0 3 0 4 0 -> 0 1 1 4 3 2 3 3 5 5 4 5 3 3 1 4 2 0 3 0 4 0 } 30.47/8.05 30.47/8.05 30.47/8.05 The system was filtered by the following matrix interpretation 30.47/8.05 of type E_J with J = {1,...,2} and dimension 23: 30.47/8.05 30.47/8.05 0 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 1 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 2 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 3 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 4 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 5 is interpreted by 30.47/8.05 / \ 30.47/8.05 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.47/8.05 \ / 30.47/8.05 30.47/8.05 Remains to prove termination of the 0-rule system 30.47/8.05 { } 30.47/8.05 30.47/8.05 30.47/8.05 The system is trivially terminating. 30.53/8.09 EOF