39.13/10.25 YES 40.68/10.68 40.68/10.68 40.68/10.68 The system was filtered by the following matrix interpretation 40.68/10.68 of type E_J with J = {1,...,2} and dimension 2: 40.68/10.68 40.68/10.68 0 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 1 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 2 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 3 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 4 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 5 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 40.68/10.68 Remains to prove termination of the 50-rule system 40.68/10.68 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.68 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.68 2 1 0 4 5 2 4 -> 2 1 4 2 5 0 4 , 40.68/10.68 4 5 2 4 2 1 5 -> 4 5 2 2 4 1 5 , 40.68/10.68 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.68 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.68 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.68 4 1 2 3 0 0 0 4 0 -> 4 1 3 2 0 0 0 4 0 , 40.68/10.68 1 2 3 3 4 3 2 1 5 2 -> 0 5 0 2 5 2 0 2 1 3 , 40.68/10.68 5 2 3 0 1 1 2 3 3 3 -> 5 3 4 5 0 5 4 2 2 3 , 40.68/10.68 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.68 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.68 1 2 2 2 0 1 4 2 3 1 3 5 1 -> 1 2 2 2 0 1 4 3 2 1 3 5 1 , 40.68/10.68 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.68 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.68 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.68 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.68 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.68 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.68 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.68 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.68 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.68 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.68 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.68 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.68 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.68 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.68 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.68 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.68 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.68 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.68 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.68 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.68 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.68 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.68 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.68 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.68 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.68 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.68 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.68 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.68 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.68 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.68 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.68 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.68 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.68 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.68 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.68 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.68 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.68 40.68/10.68 40.68/10.68 The system was filtered by the following matrix interpretation 40.68/10.68 of type E_J with J = {1,...,2} and dimension 2: 40.68/10.68 40.68/10.68 0 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 1 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 1 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 2 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 3 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 4 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 5 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 | 40.68/10.68 | 0 1 | 40.68/10.68 \ / 40.68/10.68 40.68/10.68 Remains to prove termination of the 48-rule system 40.68/10.68 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.68 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.68 2 1 0 4 5 2 4 -> 2 1 4 2 5 0 4 , 40.68/10.68 4 5 2 4 2 1 5 -> 4 5 2 2 4 1 5 , 40.68/10.68 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.68 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.68 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.68 4 1 2 3 0 0 0 4 0 -> 4 1 3 2 0 0 0 4 0 , 40.68/10.68 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.68 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.68 1 2 2 2 0 1 4 2 3 1 3 5 1 -> 1 2 2 2 0 1 4 3 2 1 3 5 1 , 40.68/10.68 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.68 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.68 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.68 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.68 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.68 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.68 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.68 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.68 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.68 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.68 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.68 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.68 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.68 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.68 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.68 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.68 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.68 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.68 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.68 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.68 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.68 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.68 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.68 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.68 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.68 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.68 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.68 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.68 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.68 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.68 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.68 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.68 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.68 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.68 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.68 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.68 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.68 40.68/10.68 40.68/10.68 The system was filtered by the following matrix interpretation 40.68/10.68 of type E_J with J = {1,...,2} and dimension 8: 40.68/10.68 40.68/10.68 0 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 1 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 1 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 1 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 2 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 1 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 1 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 3 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 4 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 1 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 5 is interpreted by 40.68/10.68 / \ 40.68/10.68 | 1 0 0 0 0 0 0 0 | 40.68/10.68 | 0 1 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 1 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 | 0 0 0 0 0 0 0 0 | 40.68/10.68 \ / 40.68/10.68 40.68/10.68 Remains to prove termination of the 47-rule system 40.68/10.68 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.68 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.68 4 5 2 4 2 1 5 -> 4 5 2 2 4 1 5 , 40.68/10.68 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.68 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.68 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.68 4 1 2 3 0 0 0 4 0 -> 4 1 3 2 0 0 0 4 0 , 40.68/10.68 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.68 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.68 1 2 2 2 0 1 4 2 3 1 3 5 1 -> 1 2 2 2 0 1 4 3 2 1 3 5 1 , 40.68/10.68 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.68 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.68 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.68 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.68 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.68 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.68 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.68 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.68 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.68 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.68 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.68 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.68 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.68 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.68 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.68 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.68 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.68 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.68 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.68 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.68 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.68 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.68 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 8: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 46-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 4 1 2 3 0 0 0 4 0 -> 4 1 3 2 0 0 0 4 0 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 1 2 2 2 0 1 4 2 3 1 3 5 1 -> 1 2 2 2 0 1 4 3 2 1 3 5 1 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.69 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.69 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 10: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 45-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 1 2 2 2 0 1 4 2 3 1 3 5 1 -> 1 2 2 2 0 1 4 3 2 1 3 5 1 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.69 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.69 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 14: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 44-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 4 2 3 1 3 4 4 1 5 5 0 1 4 -> 4 2 3 5 4 0 4 1 1 3 5 1 4 , 40.68/10.69 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.69 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 14: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 43-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 5 0 4 5 1 4 2 2 4 3 0 0 2 -> 5 0 4 5 1 4 2 2 3 4 0 0 2 , 40.68/10.69 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 14: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 42-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 4 2 0 1 2 4 2 1 0 1 0 2 1 1 -> 4 2 0 1 2 2 4 1 0 1 0 2 1 1 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 15: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 41-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 1 4 1 1 2 4 3 3 1 4 4 3 4 5 5 4 3 -> 1 4 1 1 2 3 4 3 1 4 4 3 4 5 5 4 3 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 18: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 40-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 5 4 3 4 1 0 3 1 0 4 2 0 1 4 0 4 0 -> 5 4 3 4 1 0 3 0 1 4 2 0 1 4 0 4 0 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 18: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 39-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 4 3 3 2 5 4 2 0 5 2 1 2 0 1 5 2 2 5 -> 4 3 3 2 5 4 2 5 0 2 1 2 0 1 5 2 2 5 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 19: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 38-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 5 1 1 3 3 1 0 2 5 0 3 0 0 1 5 4 3 0 -> 5 1 1 3 3 1 0 2 5 0 3 0 0 5 4 1 3 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 19: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 37-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 5 2 3 0 1 4 0 4 5 3 4 5 3 5 2 1 1 4 4 5 4 -> 5 2 3 0 1 4 0 4 5 3 4 5 3 2 5 1 1 4 4 5 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 22: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 36-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 3 2 0 4 2 4 0 4 2 5 5 0 2 5 0 1 1 4 5 0 3 5 -> 4 3 2 4 4 0 0 4 2 2 0 5 0 5 5 2 4 1 1 0 5 3 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 24: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 4 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 5 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 40.68/10.69 Remains to prove termination of the 35-rule system 40.68/10.69 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.69 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.69 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.69 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.69 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.69 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.69 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.69 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.69 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.69 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.69 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.69 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.69 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.69 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.69 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.69 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.69 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.69 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.69 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.69 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.69 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.69 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.69 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 5 2 3 1 1 3 5 -> 4 5 4 4 5 2 0 0 4 4 0 4 0 1 5 2 2 5 3 1 1 3 5 , 40.68/10.69 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.69 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.69 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.69 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.69 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.69 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.69 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.69 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.69 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.69 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.69 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.69 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.69 40.68/10.69 40.68/10.69 The system was filtered by the following matrix interpretation 40.68/10.69 of type E_J with J = {1,...,2} and dimension 24: 40.68/10.69 40.68/10.69 0 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 1 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 2 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 \ / 40.68/10.69 3 is interpreted by 40.68/10.69 / \ 40.68/10.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 34-rule system 40.68/10.70 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.70 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 1 1 5 3 1 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 -> 1 1 1 5 3 2 2 5 3 1 5 4 5 0 5 5 1 1 4 2 0 4 1 4 4 2 0 , 40.68/10.70 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.70 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 28: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 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 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 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 | 40.68/10.70 | 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 33-rule system 40.68/10.70 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.70 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 4 3 3 3 0 4 2 2 4 2 5 2 4 3 3 5 2 2 0 0 2 0 5 2 0 2 2 -> 4 3 3 3 0 4 2 2 4 2 5 4 2 3 3 5 2 2 0 0 2 0 5 2 0 2 2 , 40.68/10.70 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 28: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 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 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 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 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 32-rule system 40.68/10.70 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.70 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 1 0 4 5 -> 4 4 5 2 3 4 1 2 5 5 3 5 3 4 4 5 4 1 5 2 5 4 4 0 1 4 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 28: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 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 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 31-rule system 40.68/10.70 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.70 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 1 4 5 0 1 5 4 4 2 1 0 4 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 -> 1 4 5 0 1 5 4 4 2 1 4 0 1 2 1 5 4 5 5 0 4 0 1 0 2 4 5 5 2 4 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 31: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 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 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 30-rule system 40.68/10.70 { 0 1 0 2 2 0 3 -> 0 1 3 2 0 2 0 , 40.68/10.70 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 8: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 29-rule system 40.68/10.70 { 0 4 5 4 3 3 5 -> 0 4 3 4 5 3 5 , 40.68/10.70 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 8: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 28-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 0 5 5 4 3 3 5 1 3 4 4 2 -> 0 5 4 5 3 3 5 1 3 4 4 2 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 13: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 27-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 2 3 1 0 1 4 4 2 2 2 3 -> 2 0 2 3 1 4 0 1 4 2 2 2 3 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 14: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 26-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 0 1 4 0 1 1 2 3 2 2 5 5 3 5 1 -> 0 1 0 1 4 2 1 2 2 5 3 3 5 5 1 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 16: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 25-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 2 0 1 4 0 2 0 0 4 3 3 0 2 4 2 -> 2 0 1 4 0 2 0 0 4 3 0 3 2 4 2 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 16: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 24-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 0 5 3 4 2 5 4 1 0 4 0 3 1 0 2 1 4 1 -> 0 5 3 4 2 5 4 0 1 4 0 3 1 0 2 1 4 1 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 19: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 5 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 40.68/10.70 Remains to prove termination of the 23-rule system 40.68/10.70 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.70 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.70 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.70 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.70 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.70 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.70 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.70 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.70 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.70 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.70 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.70 0 2 1 0 1 2 2 5 4 3 3 2 4 0 1 5 2 5 2 0 4 -> 0 2 0 1 1 2 4 4 1 2 2 3 3 2 5 0 5 5 2 0 4 , 40.68/10.70 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.70 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.70 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.70 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.70 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.70 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.70 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.70 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.70 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.70 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.70 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.70 40.68/10.70 40.68/10.70 The system was filtered by the following matrix interpretation 40.68/10.70 of type E_J with J = {1,...,2} and dimension 22: 40.68/10.70 40.68/10.70 0 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 1 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 2 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 3 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 \ / 40.68/10.70 4 is interpreted by 40.68/10.70 / \ 40.68/10.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 22-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 5 4 0 3 0 5 1 4 0 4 4 1 2 1 0 5 4 0 4 2 5 -> 0 5 4 3 0 0 5 4 1 4 4 0 1 2 1 0 5 4 0 4 2 5 , 40.68/10.71 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.71 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.71 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 23: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 21-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 4 5 3 5 0 3 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 -> 4 5 3 5 3 0 1 4 5 0 4 4 2 0 4 2 3 3 5 3 5 0 2 , 40.68/10.71 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.71 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 24: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 20-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 1 3 1 5 1 2 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 -> 0 1 3 1 5 2 1 3 0 3 2 1 2 0 2 2 1 0 3 5 1 3 4 4 0 , 40.68/10.71 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 26: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 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 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 19-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 2 2 5 4 4 4 5 2 2 4 1 0 5 1 1 5 4 3 4 2 2 2 0 2 0 -> 2 2 5 4 4 4 5 2 2 4 0 1 5 1 1 5 4 3 4 2 2 2 0 2 0 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 26: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 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 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 18-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 2 4 4 5 3 3 5 -> 0 5 4 3 1 5 5 1 5 0 2 2 3 5 5 2 4 2 1 1 4 2 4 5 3 3 5 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 28: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 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 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 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 | 40.68/10.71 | 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 17-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 0 2 0 4 3 3 4 5 0 0 4 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 -> 0 2 0 4 3 3 4 5 0 4 0 4 1 5 2 4 0 5 2 2 0 3 2 1 3 5 4 1 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 29: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 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 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 16-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 1 4 1 3 1 3 3 3 4 3 -> 2 0 0 0 5 1 1 3 3 3 4 1 2 1 1 2 5 0 3 5 4 1 1 3 1 3 3 3 4 3 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 31: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 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 | 40.68/10.71 | 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 15-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 2 3 0 1 2 0 5 2 0 2 1 0 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 -> 2 3 0 1 2 0 5 2 0 2 0 1 2 5 1 4 5 4 0 4 4 5 0 5 2 3 2 0 1 3 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 31: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 14-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 , 40.68/10.71 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 1 5 5 5 2 5 1 2 3 2 5 0 4 -> 3 4 1 3 2 0 2 4 4 1 3 3 5 2 3 3 1 5 1 5 5 2 5 1 2 3 2 5 0 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 31: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 3 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 4 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 5 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 40.68/10.71 Remains to prove termination of the 13-rule system 40.68/10.71 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.71 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.71 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.71 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.71 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.71 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.71 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.71 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.71 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.71 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.71 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.71 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 , 40.68/10.71 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 1 2 4 3 1 1 2 5 5 5 4 -> 0 0 2 2 4 4 2 5 4 5 0 3 4 3 5 2 2 1 4 3 1 1 2 5 5 5 4 } 40.68/10.71 40.68/10.71 40.68/10.71 The system was filtered by the following matrix interpretation 40.68/10.71 of type E_J with J = {1,...,2} and dimension 28: 40.68/10.71 40.68/10.71 0 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 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 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 1 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 \ / 40.68/10.71 2 is interpreted by 40.68/10.71 / \ 40.68/10.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 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 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 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 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 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 | 40.68/10.72 | 0 0 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 | 40.68/10.72 | 0 0 0 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 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 12-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.72 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.72 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.72 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 , 40.68/10.72 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 1 0 1 3 -> 0 3 5 2 0 1 5 2 2 2 0 3 4 3 4 4 3 3 0 1 1 3 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 23: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 11-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 1 1 3 4 3 1 4 3 5 -> 1 1 3 4 1 3 4 3 5 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.72 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.72 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.72 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 10: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 10-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.72 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.72 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 , 40.68/10.72 3 5 5 4 0 4 4 3 4 3 0 1 1 2 5 4 2 2 2 3 -> 3 5 5 4 0 4 4 3 3 4 0 1 1 2 5 4 2 2 2 3 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 21: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 9-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.72 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 , 40.68/10.72 3 4 1 5 3 3 0 5 4 1 5 5 5 0 3 3 3 4 5 -> 3 4 1 5 3 3 0 5 4 5 1 5 5 0 3 3 3 4 5 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 20: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 8-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 , 40.68/10.72 3 4 5 5 0 3 4 3 2 5 1 0 4 0 4 1 1 0 -> 3 4 5 0 5 3 4 3 2 5 1 0 4 0 4 1 1 0 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 19: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 7-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 , 40.68/10.72 3 5 1 4 5 5 5 2 3 1 2 5 0 0 1 4 -> 3 5 5 1 3 5 5 0 5 1 2 4 0 2 1 4 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 17: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 6-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 , 40.68/10.72 3 1 1 2 4 2 5 0 4 4 5 4 1 3 4 1 -> 3 1 1 2 4 2 5 0 4 5 4 4 1 3 4 1 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 17: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 5-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 , 40.68/10.72 3 5 5 5 2 4 0 3 0 3 4 4 2 2 0 -> 3 5 2 5 4 5 3 4 0 2 2 4 0 0 3 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 16: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 4-rule system 40.68/10.72 { 3 3 3 0 0 2 4 4 -> 3 3 2 3 0 0 4 4 , 40.68/10.72 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 9: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 3-rule system 40.68/10.72 { 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 1 2 2 1 0 2 0 4 3 2 0 -> 3 1 2 2 1 0 0 2 4 3 2 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 13: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 2-rule system 40.68/10.72 { 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 , 40.68/10.72 3 0 1 5 1 1 3 1 0 3 1 5 0 0 5 -> 3 0 1 5 1 1 3 1 0 1 3 5 0 0 5 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 16: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 1-rule system 40.68/10.72 { 4 0 0 5 4 3 3 0 -> 4 0 3 5 3 4 0 0 } 40.68/10.72 40.68/10.72 40.68/10.72 The system was filtered by the following matrix interpretation 40.68/10.72 of type E_J with J = {1,...,2} and dimension 9: 40.68/10.72 40.68/10.72 0 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 1 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 1 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 2 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 3 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 1 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 1 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 1 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 4 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 1 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 1 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 5 is interpreted by 40.68/10.72 / \ 40.68/10.72 | 1 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 1 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 1 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 | 0 0 0 0 0 0 0 0 0 | 40.68/10.72 \ / 40.68/10.72 40.68/10.72 Remains to prove termination of the 0-rule system 40.68/10.72 { } 40.68/10.72 40.68/10.72 40.68/10.72 The system is trivially terminating. 40.92/10.75 EOF