42.15/10.98 YES 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 47-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 4 0 5 2 -> 4 1 3 2 3 1 2 4 3 1 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 1 5 0 5 2 0 -> 0 0 2 1 0 2 2 4 4 1 , 42.90/11.16 2 5 0 5 2 5 -> 3 3 3 4 0 2 3 3 3 4 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 3 5 2 0 5 2 -> 3 4 2 3 2 0 3 3 3 4 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 0 5 2 2 5 -> 4 2 0 0 5 4 3 0 3 4 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 2 2 2 4 2 -> 0 3 5 3 1 3 1 3 4 2 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 46-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 4 0 5 2 -> 4 1 3 2 3 1 2 4 3 1 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 1 5 0 5 2 0 -> 0 0 2 1 0 2 2 4 4 1 , 42.90/11.16 2 5 0 5 2 5 -> 3 3 3 4 0 2 3 3 3 4 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 3 5 2 0 5 2 -> 3 4 2 3 2 0 3 3 3 4 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 0 5 2 2 5 -> 4 2 0 0 5 4 3 0 3 4 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 6: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 45-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 4 0 5 2 -> 4 1 3 2 3 1 2 4 3 1 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 1 5 0 5 2 0 -> 0 0 2 1 0 2 2 4 4 1 , 42.90/11.16 2 5 0 5 2 5 -> 3 3 3 4 0 2 3 3 3 4 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 3 5 2 0 5 2 -> 3 4 2 3 2 0 3 3 3 4 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 0 5 2 2 5 -> 4 2 0 0 5 4 3 0 3 4 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 5: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 | 42.90/11.16 | 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 40-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 39-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 38-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 7: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 37-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 14: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 36-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 35-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 14: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 34-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 7: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 5 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 42.90/11.16 Remains to prove termination of the 33-rule system 42.90/11.16 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.16 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.16 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.16 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.16 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.16 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.16 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.16 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.16 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.16 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.16 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.16 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.16 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.16 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.16 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.16 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.16 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.16 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 42.90/11.16 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.16 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.16 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.16 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.16 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.16 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.16 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.16 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.16 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.16 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.16 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.16 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.16 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.16 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.16 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.16 42.90/11.16 42.90/11.16 The system was filtered by the following matrix interpretation 42.90/11.16 of type E_J with J = {1,...,2} and dimension 14: 42.90/11.16 42.90/11.16 0 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 4 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 2 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 1 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 \ / 42.90/11.16 3 is interpreted by 42.90/11.16 / \ 42.90/11.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 32-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 6: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 1 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 31-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 6: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 1 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 29-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 28-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 7: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 27-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 13: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 26-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 13: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 25-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 12: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 24-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 7: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 23-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 20: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 22-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 6: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 21-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 12: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 20-rule system 42.90/11.17 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 42.90/11.17 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 11: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 18-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 14: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 17-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 14: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 16-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 15-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 14-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 7: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 1 1 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 13-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 12-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 12: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 1 0 0 0 0 0 1 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 11-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 42.90/11.17 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 4 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 1 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 2 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 1 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 1 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 3 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 5 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 1 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 1 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 1 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 \ / 42.90/11.17 42.90/11.17 Remains to prove termination of the 10-rule system 42.90/11.17 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.17 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.17 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.17 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.17 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.17 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.17 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.17 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.17 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 42.90/11.17 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 } 42.90/11.17 42.90/11.17 42.90/11.17 The system was filtered by the following matrix interpretation 42.90/11.17 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.17 42.90/11.17 0 is interpreted by 42.90/11.17 / \ 42.90/11.17 | 1 0 0 0 0 0 0 0 | 42.90/11.17 | 0 1 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 1 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.17 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 1 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 1 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 1 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 9-rule system 42.90/11.18 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.18 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 42.90/11.18 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.18 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.18 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.18 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.18 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.18 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.18 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 6: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 1 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 1 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 1 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 1 0 0 0 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 8-rule system 42.90/11.18 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.18 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 42.90/11.18 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 42.90/11.18 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.18 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.18 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 42.90/11.18 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 42.90/11.18 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 2: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 1 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 1 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 4-rule system 42.90/11.18 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.18 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 42.90/11.18 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.18 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 8: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 1 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 1 0 0 | 42.90/11.18 | 0 0 0 0 0 0 1 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 1 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 3-rule system 42.90/11.18 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 42.90/11.18 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.18 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 5: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 1 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 1 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 0 0 0 | 42.90/11.18 | 0 1 0 0 0 | 42.90/11.18 | 0 0 0 1 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 | 0 0 0 0 0 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 2-rule system 42.90/11.18 { 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 42.90/11.18 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 2: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 1 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 1-rule system 42.90/11.18 { 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 } 42.90/11.18 42.90/11.18 42.90/11.18 The system was filtered by the following matrix interpretation 42.90/11.18 of type E_J with J = {1,...,2} and dimension 2: 42.90/11.18 42.90/11.18 0 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 4 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 2 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 1 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 1 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 3 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 5 is interpreted by 42.90/11.18 / \ 42.90/11.18 | 1 0 | 42.90/11.18 | 0 1 | 42.90/11.18 \ / 42.90/11.18 42.90/11.18 Remains to prove termination of the 0-rule system 42.90/11.18 { } 42.90/11.18 42.90/11.18 42.90/11.18 The system is trivially terminating. 42.90/11.20 EOF