8.05/2.33 YES 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 4: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 1 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 | 0 0 1 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 | 0 1 1 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 | 9.20/2.58 | 0 1 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 | 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 28-rule system 9.20/2.58 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 9.20/2.58 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 2 5 4 2 4 -> 2 3 2 0 5 0 4 2 0 4 , 9.20/2.58 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 9.20/2.58 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 2 2 4 -> 5 5 0 2 5 1 0 5 2 4 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 9.20/2.58 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 7: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 1 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 27-rule system 9.20/2.58 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 9.20/2.58 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 2 5 4 2 4 -> 2 3 2 0 5 0 4 2 0 4 , 9.20/2.58 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 9.20/2.58 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 9.20/2.58 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 10: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 21-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 7: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 20-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 6: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 19-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 18-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 7: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 17-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 9.20/2.58 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 16-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 7: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 15-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 14-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 13-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 12-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 11-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 10-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 6: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 1 1 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 1 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 0 | 9.20/2.58 | 0 1 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 9-rule system 9.20/2.58 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 9.20/2.58 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.58 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.58 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.58 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.58 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.58 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.58 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.58 9.20/2.58 9.20/2.58 The system was filtered by the following matrix interpretation 9.20/2.58 of type E_J with J = {1,...,2} and dimension 5: 9.20/2.58 9.20/2.58 5 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 4 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 1 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 2 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 1 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 3 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 0 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 \ / 9.20/2.58 1 is interpreted by 9.20/2.58 / \ 9.20/2.58 | 1 0 1 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 0 0 0 0 | 9.20/2.58 | 0 1 0 0 0 | 9.20/2.58 \ / 9.20/2.58 9.20/2.58 Remains to prove termination of the 8-rule system 9.20/2.58 { 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.58 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 9.20/2.59 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.59 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.59 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 7: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 1 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 1 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 1 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 7-rule system 9.20/2.59 { 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.59 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.59 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 9.20/2.59 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 1 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 1 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 1 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 1 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 6-rule system 9.20/2.59 { 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 9.20/2.59 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.59 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 5: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 1 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 1 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 5-rule system 9.20/2.59 { 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 9.20/2.59 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 8: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 1 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 1 0 | 9.20/2.59 | 0 0 0 0 0 0 0 1 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 1 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 4-rule system 9.20/2.59 { 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 2: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 1 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 1 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 3-rule system 9.20/2.59 { 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 9.20/2.59 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 5: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 1 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 1 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 1 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 0 0 0 | 9.20/2.59 | 0 1 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 | 0 0 0 0 0 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 2-rule system 9.20/2.59 { 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 9.20/2.59 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 } 9.20/2.59 9.20/2.59 9.20/2.59 The system was filtered by the following matrix interpretation 9.20/2.59 of type E_J with J = {1,...,2} and dimension 2: 9.20/2.59 9.20/2.59 5 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 4 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 2 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 1 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 3 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 0 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 1 is interpreted by 9.20/2.59 / \ 9.20/2.59 | 1 0 | 9.20/2.59 | 0 1 | 9.20/2.59 \ / 9.20/2.59 9.20/2.59 Remains to prove termination of the 0-rule system 9.20/2.59 { } 9.20/2.59 9.20/2.59 9.20/2.59 The system is trivially terminating. 10.94/3.25 EOF