10.31/2.89 YES 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 8: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 24-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 3 0 4 3 4 -> 5 1 0 3 4 , 11.42/3.17 3 1 1 1 4 -> 3 2 0 4 , 11.42/3.17 3 3 1 2 2 1 -> 0 0 0 3 5 1 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 5 5 3 0 0 3 1 -> 5 4 4 1 4 2 3 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 4 1 5 3 4 4 2 4 4 5 2 4 -> 4 3 5 3 1 0 0 4 5 4 4 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 6: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 23-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 3 1 1 1 4 -> 3 2 0 4 , 11.42/3.17 3 3 1 2 2 1 -> 0 0 0 3 5 1 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 5 5 3 0 0 3 1 -> 5 4 4 1 4 2 3 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 4 1 5 3 4 4 2 4 4 5 2 4 -> 4 3 5 3 1 0 0 4 5 4 4 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 17: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 22-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 3 1 1 1 4 -> 3 2 0 4 , 11.42/3.17 3 3 1 2 2 1 -> 0 0 0 3 5 1 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 4 1 5 3 4 4 2 4 4 5 2 4 -> 4 3 5 3 1 0 0 4 5 4 4 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 7: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 21-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 3 1 1 1 4 -> 3 2 0 4 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 4 1 5 3 4 4 2 4 4 5 2 4 -> 4 3 5 3 1 0 0 4 5 4 4 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 21: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 20-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 4 1 5 3 4 4 2 4 4 5 2 4 -> 4 3 5 3 1 0 0 4 5 4 4 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 28: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 2 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 3 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 4 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 5 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 11.42/3.17 Remains to prove termination of the 19-rule system 11.42/3.17 { 0 1 1 2 -> 0 1 0 , 11.42/3.17 0 3 4 4 -> 0 3 2 , 11.42/3.17 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.17 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.17 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.17 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.17 4 3 5 2 1 0 4 0 2 5 -> 1 0 1 1 1 4 3 4 5 5 , 11.42/3.17 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.17 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.17 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.17 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.17 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.17 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.17 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.17 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.17 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.17 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.17 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.17 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.17 11.42/3.17 11.42/3.17 The system was filtered by the following matrix interpretation 11.42/3.17 of type E_J with J = {1,...,2} and dimension 17: 11.42/3.17 11.42/3.17 0 is interpreted by 11.42/3.17 / \ 11.42/3.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.17 \ / 11.42/3.17 1 is interpreted by 11.42/3.17 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 18-rule system 11.42/3.18 { 0 1 1 2 -> 0 1 0 , 11.42/3.18 0 3 4 4 -> 0 3 2 , 11.42/3.18 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.18 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.18 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.18 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.18 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.18 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.18 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.18 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.18 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.18 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.18 0 3 4 4 5 4 4 5 0 1 5 5 5 5 0 3 3 1 -> 0 2 1 1 5 3 5 2 4 4 0 2 3 2 3 0 1 1 , 11.42/3.18 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.18 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.18 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 22: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 17-rule system 11.42/3.18 { 0 1 1 2 -> 0 1 0 , 11.42/3.18 0 3 4 4 -> 0 3 2 , 11.42/3.18 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.18 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.18 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.18 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.18 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.18 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.18 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.18 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.18 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.18 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.18 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.18 0 3 4 1 2 4 5 1 3 2 2 1 3 1 5 5 1 5 0 -> 3 0 4 1 5 1 3 3 4 0 1 0 0 1 0 2 0 , 11.42/3.18 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 8: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 1 0 0 1 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 0 0 0 1 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 1 0 0 1 0 0 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 1 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 1 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 15-rule system 11.42/3.18 { 0 1 1 2 -> 0 1 0 , 11.42/3.18 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.18 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.18 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.18 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.18 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.18 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.18 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.18 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.18 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.18 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.18 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.18 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 5: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 1 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 1 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 1 1 0 0 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 1 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 14-rule system 11.42/3.18 { 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.18 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.18 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.18 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.18 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.18 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.18 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.18 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.18 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.18 5 5 3 2 5 1 3 4 1 0 1 0 3 3 5 4 4 -> 5 3 2 1 4 1 5 0 5 5 5 3 1 2 4 1 2 , 11.42/3.18 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.18 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 18: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 13-rule system 11.42/3.18 { 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 2 4 3 5 4 3 1 -> 5 1 2 0 4 1 , 11.42/3.18 0 5 1 0 3 1 3 3 -> 3 3 4 2 5 3 3 , 11.42/3.18 1 2 2 2 4 5 3 0 3 0 -> 1 0 1 3 0 2 3 4 0 , 11.42/3.18 1 4 3 3 5 1 0 5 4 4 5 -> 4 2 5 5 3 0 3 3 1 5 , 11.42/3.18 2 1 4 3 4 5 4 0 2 0 0 3 -> 3 2 4 1 5 2 5 2 1 1 1 , 11.42/3.18 3 2 3 3 2 4 2 4 2 4 0 1 -> 2 0 3 0 3 0 0 0 2 2 0 1 , 11.42/3.18 0 2 0 4 0 4 2 4 4 3 5 2 5 -> 0 1 5 4 0 1 5 3 4 3 3 5 , 11.42/3.18 3 3 5 3 2 0 4 5 2 4 0 3 2 2 -> 3 3 5 3 5 3 3 5 1 3 3 5 0 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 , 11.42/3.18 5 3 5 1 3 3 2 5 3 5 4 1 5 2 0 3 -> 5 3 5 4 4 5 2 1 4 4 1 3 2 4 3 1 , 11.42/3.18 3 5 0 3 5 4 2 5 3 4 2 3 3 4 2 5 0 0 -> 0 1 2 1 4 0 5 2 0 2 5 3 5 1 3 2 0 , 11.42/3.18 2 4 2 1 1 4 3 2 1 1 4 4 0 3 3 4 1 5 3 4 -> 0 2 5 5 3 2 3 3 5 3 0 0 0 0 3 2 1 3 2 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 2: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 3 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 2 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 3 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 1 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 4 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 7 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 2-rule system 11.42/3.18 { 4 1 4 0 0 3 -> 4 4 0 2 2 , 11.42/3.18 1 4 2 5 5 0 1 3 1 0 1 0 1 2 2 3 -> 2 2 4 1 1 0 1 0 1 4 4 5 2 1 3 1 3 } 11.42/3.18 11.42/3.18 11.42/3.18 The system was filtered by the following matrix interpretation 11.42/3.18 of type E_J with J = {1,...,2} and dimension 2: 11.42/3.18 11.42/3.18 0 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 1 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 1 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 2 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 3 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 4 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 5 is interpreted by 11.42/3.18 / \ 11.42/3.18 | 1 0 | 11.42/3.18 | 0 1 | 11.42/3.18 \ / 11.42/3.18 11.42/3.18 Remains to prove termination of the 0-rule system 11.42/3.18 { } 11.42/3.18 11.42/3.18 11.42/3.18 The system is trivially terminating. 17.21/4.78 EOF