11.87/3.26 YES 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 8: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 1 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 1 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 1 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 1 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 1 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 24-rule system 12.20/3.34 { 0 1 2 -> 0 3 3 , 12.20/3.34 0 4 2 5 3 2 -> 0 1 2 4 0 , 12.20/3.34 4 4 1 4 2 1 1 -> 5 0 1 1 1 5 , 12.20/3.34 0 0 1 0 0 3 5 3 -> 0 0 0 2 3 2 2 3 , 12.20/3.34 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 1 0 0 5 2 5 2 2 -> 1 3 1 1 5 3 3 5 1 , 12.20/3.34 4 3 2 4 0 0 2 2 3 5 0 -> 1 0 5 2 2 5 2 1 5 5 , 12.20/3.34 5 1 2 5 5 2 4 1 1 5 2 -> 5 1 5 2 0 3 5 0 1 4 1 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 5 2 0 5 0 1 1 1 2 4 4 2 -> 5 2 0 2 0 3 3 0 0 4 2 4 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 1 1 5 5 0 3 1 4 0 0 3 5 5 4 -> 0 1 3 1 3 0 3 4 5 0 4 1 5 4 , 12.20/3.34 3 1 3 0 1 4 5 2 5 0 2 2 4 3 -> 3 0 5 2 2 0 4 5 2 1 5 5 5 , 12.20/3.34 5 3 1 5 4 5 4 5 1 1 1 2 2 1 5 2 -> 5 0 0 5 2 3 2 4 4 1 1 1 5 5 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 0 1 5 4 1 3 5 5 0 0 5 4 5 4 0 5 4 -> 2 1 2 5 0 0 4 1 0 1 5 5 4 5 2 4 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 , 12.20/3.34 4 3 3 3 5 5 1 2 5 0 4 1 4 4 2 3 0 4 2 -> 4 3 4 5 5 0 2 5 5 0 2 2 5 2 0 0 3 3 , 12.20/3.34 0 3 2 2 5 4 0 2 4 0 1 3 3 1 0 3 4 3 1 5 -> 0 3 1 0 5 4 3 2 0 3 3 4 1 0 4 3 3 3 1 1 , 12.20/3.34 1 0 5 2 2 3 2 0 5 5 3 4 4 3 1 0 0 2 1 2 -> 1 3 1 4 5 3 3 3 3 0 2 5 1 4 5 4 3 1 5 1 , 12.20/3.34 5 4 4 2 2 2 3 0 1 5 3 5 1 0 2 3 1 5 4 1 -> 5 1 0 5 1 1 3 0 5 0 3 5 5 2 4 0 1 5 5 , 12.20/3.34 3 0 2 2 2 0 0 4 3 2 2 5 5 0 3 2 1 2 2 2 0 -> 5 2 2 5 1 3 5 0 3 2 1 1 1 0 4 5 3 4 0 5 , 12.20/3.34 4 4 1 2 0 1 2 3 1 0 1 0 0 3 3 4 4 1 1 1 2 -> 4 1 0 1 0 3 1 4 1 5 3 3 3 0 1 2 3 1 2 5 1 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 9: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 1 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 1 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 1 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 1 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 1 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 1 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 23-rule system 12.20/3.34 { 0 1 2 -> 0 3 3 , 12.20/3.34 0 4 2 5 3 2 -> 0 1 2 4 0 , 12.20/3.34 4 4 1 4 2 1 1 -> 5 0 1 1 1 5 , 12.20/3.34 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 1 0 0 5 2 5 2 2 -> 1 3 1 1 5 3 3 5 1 , 12.20/3.34 4 3 2 4 0 0 2 2 3 5 0 -> 1 0 5 2 2 5 2 1 5 5 , 12.20/3.34 5 1 2 5 5 2 4 1 1 5 2 -> 5 1 5 2 0 3 5 0 1 4 1 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 5 2 0 5 0 1 1 1 2 4 4 2 -> 5 2 0 2 0 3 3 0 0 4 2 4 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 1 1 5 5 0 3 1 4 0 0 3 5 5 4 -> 0 1 3 1 3 0 3 4 5 0 4 1 5 4 , 12.20/3.34 3 1 3 0 1 4 5 2 5 0 2 2 4 3 -> 3 0 5 2 2 0 4 5 2 1 5 5 5 , 12.20/3.34 5 3 1 5 4 5 4 5 1 1 1 2 2 1 5 2 -> 5 0 0 5 2 3 2 4 4 1 1 1 5 5 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 0 1 5 4 1 3 5 5 0 0 5 4 5 4 0 5 4 -> 2 1 2 5 0 0 4 1 0 1 5 5 4 5 2 4 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 , 12.20/3.34 4 3 3 3 5 5 1 2 5 0 4 1 4 4 2 3 0 4 2 -> 4 3 4 5 5 0 2 5 5 0 2 2 5 2 0 0 3 3 , 12.20/3.34 0 3 2 2 5 4 0 2 4 0 1 3 3 1 0 3 4 3 1 5 -> 0 3 1 0 5 4 3 2 0 3 3 4 1 0 4 3 3 3 1 1 , 12.20/3.34 1 0 5 2 2 3 2 0 5 5 3 4 4 3 1 0 0 2 1 2 -> 1 3 1 4 5 3 3 3 3 0 2 5 1 4 5 4 3 1 5 1 , 12.20/3.34 5 4 4 2 2 2 3 0 1 5 3 5 1 0 2 3 1 5 4 1 -> 5 1 0 5 1 1 3 0 5 0 3 5 5 2 4 0 1 5 5 , 12.20/3.34 3 0 2 2 2 0 0 4 3 2 2 5 5 0 3 2 1 2 2 2 0 -> 5 2 2 5 1 3 5 0 3 2 1 1 1 0 4 5 3 4 0 5 , 12.20/3.34 4 4 1 2 0 1 2 3 1 0 1 0 0 3 3 4 4 1 1 1 2 -> 4 1 0 1 0 3 1 4 1 5 3 3 3 0 1 2 3 1 2 5 1 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 8: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 1 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 1 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 1 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 1 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 1 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 1 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 22-rule system 12.20/3.34 { 0 1 2 -> 0 3 3 , 12.20/3.34 0 4 2 5 3 2 -> 0 1 2 4 0 , 12.20/3.34 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 1 0 0 5 2 5 2 2 -> 1 3 1 1 5 3 3 5 1 , 12.20/3.34 4 3 2 4 0 0 2 2 3 5 0 -> 1 0 5 2 2 5 2 1 5 5 , 12.20/3.34 5 1 2 5 5 2 4 1 1 5 2 -> 5 1 5 2 0 3 5 0 1 4 1 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 5 2 0 5 0 1 1 1 2 4 4 2 -> 5 2 0 2 0 3 3 0 0 4 2 4 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 1 1 5 5 0 3 1 4 0 0 3 5 5 4 -> 0 1 3 1 3 0 3 4 5 0 4 1 5 4 , 12.20/3.34 3 1 3 0 1 4 5 2 5 0 2 2 4 3 -> 3 0 5 2 2 0 4 5 2 1 5 5 5 , 12.20/3.34 5 3 1 5 4 5 4 5 1 1 1 2 2 1 5 2 -> 5 0 0 5 2 3 2 4 4 1 1 1 5 5 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 0 1 5 4 1 3 5 5 0 0 5 4 5 4 0 5 4 -> 2 1 2 5 0 0 4 1 0 1 5 5 4 5 2 4 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 , 12.20/3.34 4 3 3 3 5 5 1 2 5 0 4 1 4 4 2 3 0 4 2 -> 4 3 4 5 5 0 2 5 5 0 2 2 5 2 0 0 3 3 , 12.20/3.34 0 3 2 2 5 4 0 2 4 0 1 3 3 1 0 3 4 3 1 5 -> 0 3 1 0 5 4 3 2 0 3 3 4 1 0 4 3 3 3 1 1 , 12.20/3.34 1 0 5 2 2 3 2 0 5 5 3 4 4 3 1 0 0 2 1 2 -> 1 3 1 4 5 3 3 3 3 0 2 5 1 4 5 4 3 1 5 1 , 12.20/3.34 5 4 4 2 2 2 3 0 1 5 3 5 1 0 2 3 1 5 4 1 -> 5 1 0 5 1 1 3 0 5 0 3 5 5 2 4 0 1 5 5 , 12.20/3.34 3 0 2 2 2 0 0 4 3 2 2 5 5 0 3 2 1 2 2 2 0 -> 5 2 2 5 1 3 5 0 3 2 1 1 1 0 4 5 3 4 0 5 , 12.20/3.34 4 4 1 2 0 1 2 3 1 0 1 0 0 3 3 4 4 1 1 1 2 -> 4 1 0 1 0 3 1 4 1 5 3 3 3 0 1 2 3 1 2 5 1 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 15: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 21-rule system 12.20/3.34 { 0 1 2 -> 0 3 3 , 12.20/3.34 0 4 2 5 3 2 -> 0 1 2 4 0 , 12.20/3.34 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 1 0 0 5 2 5 2 2 -> 1 3 1 1 5 3 3 5 1 , 12.20/3.34 4 3 2 4 0 0 2 2 3 5 0 -> 1 0 5 2 2 5 2 1 5 5 , 12.20/3.34 5 1 2 5 5 2 4 1 1 5 2 -> 5 1 5 2 0 3 5 0 1 4 1 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 5 2 0 5 0 1 1 1 2 4 4 2 -> 5 2 0 2 0 3 3 0 0 4 2 4 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 1 1 5 5 0 3 1 4 0 0 3 5 5 4 -> 0 1 3 1 3 0 3 4 5 0 4 1 5 4 , 12.20/3.34 5 3 1 5 4 5 4 5 1 1 1 2 2 1 5 2 -> 5 0 0 5 2 3 2 4 4 1 1 1 5 5 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 0 1 5 4 1 3 5 5 0 0 5 4 5 4 0 5 4 -> 2 1 2 5 0 0 4 1 0 1 5 5 4 5 2 4 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 , 12.20/3.34 4 3 3 3 5 5 1 2 5 0 4 1 4 4 2 3 0 4 2 -> 4 3 4 5 5 0 2 5 5 0 2 2 5 2 0 0 3 3 , 12.20/3.34 0 3 2 2 5 4 0 2 4 0 1 3 3 1 0 3 4 3 1 5 -> 0 3 1 0 5 4 3 2 0 3 3 4 1 0 4 3 3 3 1 1 , 12.20/3.34 1 0 5 2 2 3 2 0 5 5 3 4 4 3 1 0 0 2 1 2 -> 1 3 1 4 5 3 3 3 3 0 2 5 1 4 5 4 3 1 5 1 , 12.20/3.34 5 4 4 2 2 2 3 0 1 5 3 5 1 0 2 3 1 5 4 1 -> 5 1 0 5 1 1 3 0 5 0 3 5 5 2 4 0 1 5 5 , 12.20/3.34 3 0 2 2 2 0 0 4 3 2 2 5 5 0 3 2 1 2 2 2 0 -> 5 2 2 5 1 3 5 0 3 2 1 1 1 0 4 5 3 4 0 5 , 12.20/3.34 4 4 1 2 0 1 2 3 1 0 1 0 0 3 3 4 4 1 1 1 2 -> 4 1 0 1 0 3 1 4 1 5 3 3 3 0 1 2 3 1 2 5 1 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 19: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 12.20/3.34 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 20-rule system 12.20/3.34 { 0 1 2 -> 0 3 3 , 12.20/3.34 0 4 2 5 3 2 -> 0 1 2 4 0 , 12.20/3.34 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 1 0 0 5 2 5 2 2 -> 1 3 1 1 5 3 3 5 1 , 12.20/3.34 4 3 2 4 0 0 2 2 3 5 0 -> 1 0 5 2 2 5 2 1 5 5 , 12.20/3.34 5 1 2 5 5 2 4 1 1 5 2 -> 5 1 5 2 0 3 5 0 1 4 1 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 5 2 0 5 0 1 1 1 2 4 4 2 -> 5 2 0 2 0 3 3 0 0 4 2 4 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 1 1 5 5 0 3 1 4 0 0 3 5 5 4 -> 0 1 3 1 3 0 3 4 5 0 4 1 5 4 , 12.20/3.34 5 3 1 5 4 5 4 5 1 1 1 2 2 1 5 2 -> 5 0 0 5 2 3 2 4 4 1 1 1 5 5 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 , 12.20/3.34 4 3 3 3 5 5 1 2 5 0 4 1 4 4 2 3 0 4 2 -> 4 3 4 5 5 0 2 5 5 0 2 2 5 2 0 0 3 3 , 12.20/3.34 0 3 2 2 5 4 0 2 4 0 1 3 3 1 0 3 4 3 1 5 -> 0 3 1 0 5 4 3 2 0 3 3 4 1 0 4 3 3 3 1 1 , 12.20/3.34 1 0 5 2 2 3 2 0 5 5 3 4 4 3 1 0 0 2 1 2 -> 1 3 1 4 5 3 3 3 3 0 2 5 1 4 5 4 3 1 5 1 , 12.20/3.34 5 4 4 2 2 2 3 0 1 5 3 5 1 0 2 3 1 5 4 1 -> 5 1 0 5 1 1 3 0 5 0 3 5 5 2 4 0 1 5 5 , 12.20/3.34 3 0 2 2 2 0 0 4 3 2 2 5 5 0 3 2 1 2 2 2 0 -> 5 2 2 5 1 3 5 0 3 2 1 1 1 0 4 5 3 4 0 5 , 12.20/3.34 4 4 1 2 0 1 2 3 1 0 1 0 0 3 3 4 4 1 1 1 2 -> 4 1 0 1 0 3 1 4 1 5 3 3 3 0 1 2 3 1 2 5 1 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 2: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 3 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 6-rule system 12.20/3.34 { 5 1 1 3 1 5 4 2 -> 5 5 3 4 4 2 0 2 , 12.20/3.34 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 0 3 0 2 1 3 4 2 1 5 2 4 3 0 1 0 2 -> 2 0 4 5 5 2 0 0 1 0 3 2 5 4 1 3 3 , 12.20/3.34 1 2 0 4 4 0 3 0 5 2 4 0 3 3 1 1 4 -> 4 5 4 0 4 3 5 0 2 5 0 5 3 0 3 1 4 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 2: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 8 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 4 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 9 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 8 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 3-rule system 12.20/3.34 { 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 , 12.20/3.34 4 4 4 4 4 1 3 4 1 5 1 4 0 1 4 0 4 5 -> 4 2 2 3 1 2 3 5 4 3 3 4 2 1 2 0 3 4 5 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 2: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 1 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 2-rule system 12.20/3.34 { 1 0 4 3 2 1 4 1 5 1 1 2 -> 4 2 0 3 3 5 3 1 4 5 3 3 5 , 12.20/3.34 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 2: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 1 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 1 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 1 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 1-rule system 12.20/3.34 { 4 1 5 5 5 3 3 1 3 3 3 4 5 -> 4 1 4 3 4 5 1 1 1 1 2 5 } 12.20/3.34 12.20/3.34 12.20/3.34 The system was filtered by the following matrix interpretation 12.20/3.34 of type E_J with J = {1,...,2} and dimension 2: 12.20/3.34 12.20/3.34 0 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 1 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 2 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 3 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 1 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 4 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 5 is interpreted by 12.20/3.34 / \ 12.20/3.34 | 1 0 | 12.20/3.34 | 0 1 | 12.20/3.34 \ / 12.20/3.34 12.20/3.34 Remains to prove termination of the 0-rule system 12.20/3.34 { } 12.20/3.34 12.20/3.34 12.20/3.34 The system is trivially terminating. 12.40/3.38 EOF