140.36/35.94 YES 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 4: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 0 1 | 141.27/36.17 | 0 0 0 1 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 1 0 | 141.27/36.17 | 0 1 1 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 0 0 | 141.27/36.17 | 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 0 0 | 141.27/36.17 | 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 0 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 | 141.27/36.17 | 0 1 0 0 | 141.27/36.17 | 0 0 1 0 | 141.27/36.17 | 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 33-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 0 3 -> 3 0 0 1 1 0 4 5 1 3 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 5 1 3 0 5 -> 0 4 0 3 2 5 4 5 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 0 5 3 2 0 -> 0 3 0 4 3 3 0 1 3 0 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 1 0 2 2 1 2 -> 1 5 0 2 4 0 4 4 1 2 , 141.27/36.17 1 3 2 2 2 1 -> 0 1 2 5 0 4 2 5 5 0 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 2 0 5 0 -> 4 3 4 5 4 0 5 2 3 0 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 11: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 32-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 0 3 -> 3 0 0 1 1 0 4 5 1 3 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 5 1 3 0 5 -> 0 4 0 3 2 5 4 5 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 1 0 2 2 1 2 -> 1 5 0 2 4 0 4 4 1 2 , 141.27/36.17 1 3 2 2 2 1 -> 0 1 2 5 0 4 2 5 5 0 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 2 0 5 0 -> 4 3 4 5 4 0 5 2 3 0 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 8: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 1 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 1 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 1 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 31-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 0 3 -> 3 0 0 1 1 0 4 5 1 3 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 1 0 2 2 1 2 -> 1 5 0 2 4 0 4 4 1 2 , 141.27/36.17 1 3 2 2 2 1 -> 0 1 2 5 0 4 2 5 5 0 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 2 0 5 0 -> 4 3 4 5 4 0 5 2 3 0 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 12: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 30-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 0 3 -> 3 0 0 1 1 0 4 5 1 3 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 1 3 2 2 2 1 -> 0 1 2 5 0 4 2 5 5 0 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 2 0 5 0 -> 4 3 4 5 4 0 5 2 3 0 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 6: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 1 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 28-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 1 3 2 2 2 1 -> 0 1 2 5 0 4 2 5 5 0 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 7: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 1 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 27-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 2 1 2 1 2 -> 2 3 2 4 2 2 5 3 4 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 0 5 1 2 1 2 4 -> 0 3 5 0 5 4 2 2 3 5 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 6: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 25-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 5 5 0 5 5 1 -> 5 5 5 2 1 2 3 5 4 0 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 7: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 24-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 3 3 0 1 2 0 3 -> 5 4 4 2 3 5 2 4 0 3 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 8: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 23-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 0 5 3 -> 5 4 4 3 3 3 4 3 3 3 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 0 5 0 0 0 5 -> 5 5 0 2 4 4 1 1 3 5 , 141.27/36.17 2 0 0 5 0 5 -> 4 4 1 5 5 2 5 5 3 5 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 0 0 0 5 4 2 1 -> 5 3 0 2 5 2 1 4 3 2 , 141.27/36.17 0 0 0 5 5 1 5 -> 0 4 4 5 3 2 1 2 0 1 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 0 0 5 2 1 -> 2 2 5 4 1 3 1 4 3 1 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 5: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 1 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 17-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 0 5 5 0 5 -> 5 3 5 1 4 0 2 5 4 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 , 141.27/36.17 4 0 5 5 5 0 5 -> 1 3 0 2 3 1 2 0 2 2 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 6: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 15-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 0 5 -> 3 3 4 2 4 4 3 5 0 2 , 141.27/36.17 0 5 -> 5 1 3 2 4 0 4 1 4 5 , 141.27/36.17 1 5 2 -> 1 1 2 3 3 3 4 4 4 4 , 141.27/36.17 0 5 0 5 -> 4 4 1 3 0 4 3 4 2 4 , 141.27/36.17 0 5 1 4 -> 5 3 1 4 4 4 3 4 5 4 , 141.27/36.17 2 0 5 5 -> 3 5 4 3 3 4 3 3 4 2 , 141.27/36.17 0 5 2 1 5 -> 5 4 0 3 5 4 4 2 2 4 , 141.27/36.17 2 0 5 1 4 -> 4 5 5 4 4 5 3 2 2 3 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 , 141.27/36.17 2 0 3 0 4 1 5 -> 2 0 1 2 4 3 5 5 3 0 , 141.27/36.17 3 2 0 5 4 1 5 -> 3 5 1 4 2 0 4 3 2 4 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 3: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 1 1 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 5-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 0 0 3 5 0 5 -> 0 4 1 5 2 0 4 2 4 3 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 7: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 4-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 , 141.27/36.17 1 0 4 5 5 1 5 -> 1 5 0 4 1 4 4 4 0 4 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 13: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 1 0 0 0 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 3-rule system 141.27/36.17 { 0 5 -> 2 4 5 0 4 2 5 2 3 2 , 141.27/36.17 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 3: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 | 141.27/36.17 | 0 1 0 | 141.27/36.17 | 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 2-rule system 141.27/36.17 { 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 , 141.27/36.17 2 0 3 0 1 2 -> 1 5 1 4 0 3 2 4 0 4 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 7: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 1 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 1 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 1 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 0 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 1 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 0 0 0 1 0 | 141.27/36.17 | 0 1 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 | 0 0 0 0 0 0 1 | 141.27/36.17 | 0 0 0 0 0 0 0 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 1-rule system 141.27/36.17 { 4 0 0 5 1 -> 1 0 2 4 0 4 2 0 3 0 } 141.27/36.17 141.27/36.17 141.27/36.17 The system was filtered by the following matrix interpretation 141.27/36.17 of type E_J with J = {1,...,2} and dimension 2: 141.27/36.17 141.27/36.17 0 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 5 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 1 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 2 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 4 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 3 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 1 is interpreted by 141.27/36.17 / \ 141.27/36.17 | 1 0 | 141.27/36.17 | 0 1 | 141.27/36.17 \ / 141.27/36.17 141.27/36.17 Remains to prove termination of the 0-rule system 141.27/36.17 { } 141.27/36.17 141.27/36.17 141.27/36.17 The system is trivially terminating. 167.65/44.88 EOF