51.85/13.67 YES 53.34/13.89 53.34/13.89 53.34/13.89 The system was filtered by the following matrix interpretation 53.34/13.89 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.89 53.34/13.89 0 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 1 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 1 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 1 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 1 | 53.34/13.89 | 0 0 0 0 0 0 0 1 | 53.34/13.89 \ / 53.34/13.89 4 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 5 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 1 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 1 0 | 53.34/13.89 \ / 53.34/13.89 2 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 3 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 1 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 53.34/13.89 Remains to prove termination of the 46-rule system 53.34/13.89 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.89 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.89 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.89 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.89 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.89 4 1 1 3 -> 4 5 2 0 5 2 3 5 4 2 , 53.34/13.89 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.89 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.89 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.89 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.89 1 1 4 3 1 -> 1 4 2 0 5 4 4 5 5 3 , 53.34/13.89 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.89 0 1 1 1 1 3 -> 3 1 2 3 2 3 4 1 3 3 , 53.34/13.89 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.89 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.89 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.89 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.89 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.89 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.89 1 0 5 1 3 0 -> 3 2 3 0 1 0 2 0 0 3 , 53.34/13.89 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.89 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.89 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.89 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.89 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.89 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.89 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.89 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.89 0 0 4 1 1 0 3 -> 2 1 2 0 3 5 0 1 0 3 , 53.34/13.89 0 3 4 1 1 0 0 -> 3 3 3 0 1 1 4 3 5 0 , 53.34/13.89 1 0 3 2 1 3 1 -> 2 1 3 5 5 3 5 5 1 4 , 53.34/13.89 1 1 3 1 1 3 0 -> 2 3 1 2 4 5 2 0 0 0 , 53.34/13.89 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.89 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.89 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.89 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.89 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.89 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.89 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.89 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.89 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.89 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.89 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.89 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.89 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.89 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.89 53.34/13.89 53.34/13.89 The system was filtered by the following matrix interpretation 53.34/13.89 of type E_J with J = {1,...,2} and dimension 5: 53.34/13.89 53.34/13.89 0 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 \ / 53.34/13.89 1 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 1 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 1 0 | 53.34/13.89 | 0 0 0 0 1 | 53.34/13.89 | 0 0 0 0 1 | 53.34/13.89 \ / 53.34/13.89 4 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 1 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 5 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 1 0 | 53.34/13.89 \ / 53.34/13.89 2 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 3 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 | 53.34/13.89 \ / 53.34/13.89 53.34/13.89 Remains to prove termination of the 42-rule system 53.34/13.89 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.89 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.89 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.89 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.89 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.89 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.89 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.89 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.89 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.89 1 1 4 3 1 -> 1 4 2 0 5 4 4 5 5 3 , 53.34/13.89 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.89 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.89 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.89 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.89 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.89 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.89 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.89 1 0 5 1 3 0 -> 3 2 3 0 1 0 2 0 0 3 , 53.34/13.89 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.89 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.89 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.89 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.89 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.89 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.89 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.89 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.89 1 0 3 2 1 3 1 -> 2 1 3 5 5 3 5 5 1 4 , 53.34/13.89 1 1 3 1 1 3 0 -> 2 3 1 2 4 5 2 0 0 0 , 53.34/13.89 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.89 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.89 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.89 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.89 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.89 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.89 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.89 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.89 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.89 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.89 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.89 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.89 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.89 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.89 53.34/13.89 53.34/13.89 The system was filtered by the following matrix interpretation 53.34/13.89 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.89 53.34/13.89 0 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 1 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 1 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 1 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 1 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 4 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 1 | 53.34/13.89 \ / 53.34/13.89 5 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 1 0 0 | 53.34/13.89 \ / 53.34/13.89 2 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 1 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 3 is interpreted by 53.34/13.89 / \ 53.34/13.89 | 1 0 0 0 0 0 0 0 | 53.34/13.89 | 0 1 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 1 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 | 0 0 0 0 0 0 0 1 | 53.34/13.89 | 0 0 0 0 0 0 0 0 | 53.34/13.89 \ / 53.34/13.89 53.34/13.89 Remains to prove termination of the 41-rule system 53.34/13.89 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.89 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.89 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.89 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.89 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.89 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.89 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.89 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.89 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.89 1 1 4 3 1 -> 1 4 2 0 5 4 4 5 5 3 , 53.34/13.89 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.89 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.89 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.89 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.89 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.89 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.89 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.89 1 0 5 1 3 0 -> 3 2 3 0 1 0 2 0 0 3 , 53.34/13.89 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.89 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.89 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.89 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.89 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.89 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.89 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.89 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 1 1 3 0 -> 2 3 1 2 4 5 2 0 0 0 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 40-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.91 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.91 1 1 4 3 1 -> 1 4 2 0 5 4 4 5 5 3 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.91 1 0 5 1 3 0 -> 3 2 3 0 1 0 2 0 0 3 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 39-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.91 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.91 1 1 4 3 1 -> 1 4 2 0 5 4 4 5 5 3 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 11: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 38-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.91 1 0 4 1 0 -> 2 3 0 2 3 4 2 0 4 0 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 11: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 37-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 4 4 1 3 -> 4 5 4 5 0 5 4 5 5 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 6: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 36-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 0 0 1 1 1 -> 1 1 5 5 3 3 3 0 0 2 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 12: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 35-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 1 3 4 1 3 5 -> 2 5 5 2 1 2 1 5 2 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 34-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 1 3 1 1 4 1 -> 2 5 0 3 2 5 4 5 4 4 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 1 3 4 1 2 -> 0 4 4 2 0 0 5 5 2 2 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 3 4 0 4 3 2 -> 2 3 1 1 5 4 0 3 5 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 3 4 1 3 1 -> 1 5 4 4 3 4 3 0 1 2 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 30-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 3 4 0 0 1 3 0 -> 4 4 3 0 3 2 4 2 2 0 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 29-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 4 5 1 3 -> 2 0 5 3 2 3 1 5 0 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 13: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 28-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 4 0 4 3 2 1 0 -> 1 4 2 3 5 5 3 2 3 5 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 1 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 27-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 1 1 2 0 -> 3 2 3 2 3 5 4 5 2 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 10: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 26-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 0 0 0 0 4 4 3 -> 1 5 4 4 4 3 1 5 0 5 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 1 0 0 | 53.34/13.91 | 0 0 1 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 25-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 5 2 4 4 1 3 -> 5 5 5 0 5 2 2 2 1 2 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 24-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 3 4 3 1 -> 1 5 4 5 2 2 0 3 5 1 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 2 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 3 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 0 0 | 53.34/13.91 | 0 0 1 0 0 0 0 | 53.34/13.91 | 0 0 0 0 1 0 0 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 0 1 | 53.34/13.91 | 0 0 0 0 0 0 0 | 53.34/13.91 \ / 53.34/13.91 53.34/13.91 Remains to prove termination of the 23-rule system 53.34/13.91 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.91 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.91 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.91 0 1 1 1 -> 0 3 5 1 2 0 3 2 4 5 , 53.34/13.91 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.91 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.91 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.91 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.91 0 3 1 1 1 1 -> 0 3 3 1 3 0 3 2 3 3 , 53.34/13.91 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.91 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.91 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.91 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.91 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.91 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.91 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.91 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.91 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.91 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.91 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.91 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.91 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.91 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.91 53.34/13.91 53.34/13.91 The system was filtered by the following matrix interpretation 53.34/13.91 of type E_J with J = {1,...,2} and dimension 5: 53.34/13.91 53.34/13.91 0 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 | 53.34/13.91 | 0 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 \ / 53.34/13.91 1 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 1 0 0 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 | 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 1 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 \ / 53.34/13.91 4 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 | 53.34/13.91 | 0 0 0 1 0 | 53.34/13.91 | 0 0 0 0 1 | 53.34/13.91 \ / 53.34/13.91 5 is interpreted by 53.34/13.91 / \ 53.34/13.91 | 1 0 0 0 0 | 53.34/13.91 | 0 1 0 0 0 | 53.34/13.91 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 21-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.92 2 1 3 4 3 1 1 -> 5 4 4 1 4 1 4 4 1 5 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 20-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 3 0 1 3 -> 2 0 3 5 5 0 1 2 1 2 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 6: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 1 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 1 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 1 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 | 0 0 1 1 1 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 19-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 2 5 3 4 3 2 -> 2 5 2 0 5 4 3 3 3 2 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 18-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 1 5 3 1 3 4 4 -> 2 5 4 5 1 1 5 4 1 4 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 17-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 1 4 3 2 0 -> 4 5 0 2 0 3 3 3 3 0 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 16-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 0 4 1 0 3 -> 5 2 3 3 0 2 1 0 3 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 15-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 1 5 1 1 3 5 2 -> 0 1 0 3 3 2 4 3 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 14-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 4 1 0 0 -> 1 4 0 5 4 2 5 5 3 0 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 5: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 13-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 1 5 0 0 0 -> 5 2 1 0 1 0 5 4 0 0 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 12-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 0 3 4 0 1 0 -> 1 2 3 5 3 5 2 5 4 0 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 11-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 1 4 4 3 0 0 -> 5 0 2 5 4 2 5 2 2 0 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 10-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 4 1 -> 5 2 2 3 5 3 2 2 5 4 , 53.34/13.92 1 4 1 -> 1 4 4 2 0 3 5 4 4 5 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 , 53.34/13.92 5 5 0 0 4 1 5 -> 5 4 3 2 0 2 5 5 5 5 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 4: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 1 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 7-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 5 1 1 3 1 -> 4 4 5 5 2 2 4 5 4 0 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 6-rule system 53.34/13.92 { 0 1 4 -> 5 5 4 0 2 2 0 2 5 4 , 53.34/13.92 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 4: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 1 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 | 53.34/13.92 | 0 1 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 | 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 5-rule system 53.34/13.92 { 0 0 0 4 3 1 -> 2 3 2 0 0 4 2 4 3 3 , 53.34/13.92 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 4-rule system 53.34/13.92 { 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 1 3 3 4 0 5 2 -> 4 5 4 3 4 2 5 5 2 2 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 3-rule system 53.34/13.92 { 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 3 0 4 5 0 0 4 -> 3 0 5 0 0 2 0 0 0 4 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 8: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 1 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 2-rule system 53.34/13.92 { 3 1 0 1 5 5 -> 5 4 2 0 0 0 3 3 5 5 , 53.34/13.92 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 7: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 1 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 1 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 1 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 1 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 1 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 0 0 0 0 0 0 | 53.34/13.92 | 0 1 0 0 0 0 0 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 1-rule system 53.34/13.92 { 4 0 4 0 3 4 4 -> 4 4 4 3 5 1 4 1 4 4 } 53.34/13.92 53.34/13.92 53.34/13.92 The system was filtered by the following matrix interpretation 53.34/13.92 of type E_J with J = {1,...,2} and dimension 2: 53.34/13.92 53.34/13.92 0 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 1 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 1 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 4 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 5 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 2 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 3 is interpreted by 53.34/13.92 / \ 53.34/13.92 | 1 0 | 53.34/13.92 | 0 1 | 53.34/13.92 \ / 53.34/13.92 53.34/13.92 Remains to prove termination of the 0-rule system 53.34/13.92 { } 53.34/13.92 53.34/13.92 53.34/13.92 The system is trivially terminating. 65.75/18.15 EOF