11.40/3.18 YES 12.63/3.46 12.63/3.46 12.63/3.46 The system was filtered by the following matrix interpretation 12.63/3.46 of type E_J with J = {1,...,2} and dimension 4: 12.63/3.46 12.63/3.46 5 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 \ / 12.63/3.46 1 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 1 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 2 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 0 1 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 3 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 0 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 4 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 | 12.63/3.46 | 0 1 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 | 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 12.63/3.46 Remains to prove termination of the 40-rule system 12.63/3.46 { 5 5 -> 1 1 2 3 3 2 3 0 4 4 , 12.63/3.46 0 5 5 -> 1 0 1 3 3 0 1 2 4 4 , 12.63/3.46 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.46 0 5 5 1 -> 2 2 3 2 4 1 1 3 3 2 , 12.63/3.46 0 5 5 4 -> 1 0 4 4 5 2 4 4 4 1 , 12.63/3.46 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.46 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.46 5 5 3 4 -> 1 3 2 3 3 0 0 3 2 4 , 12.63/3.46 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.46 2 2 5 3 5 -> 0 1 1 5 3 0 3 3 1 4 , 12.63/3.46 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.46 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.46 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.46 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.46 0 5 5 0 5 5 -> 2 0 2 2 1 1 0 4 0 5 , 12.63/3.46 0 5 5 1 1 2 -> 2 4 3 1 2 1 2 0 4 2 , 12.63/3.46 1 5 4 0 5 5 -> 3 0 3 0 4 5 1 5 1 5 , 12.63/3.46 1 5 5 5 0 5 -> 0 2 0 3 2 0 3 2 4 5 , 12.63/3.46 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.46 2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 , 12.63/3.46 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.46 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.46 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.46 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.46 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.46 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.46 5 1 5 0 2 5 -> 5 2 2 5 3 1 4 1 4 4 , 12.63/3.46 5 3 5 5 3 2 -> 3 0 4 5 4 1 5 0 3 2 , 12.63/3.46 5 5 3 4 5 1 -> 2 1 2 0 3 3 1 0 0 5 , 12.63/3.46 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.46 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.46 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.46 2 4 1 0 5 5 5 -> 3 3 3 2 2 1 4 4 5 5 , 12.63/3.46 2 4 3 1 5 5 3 -> 0 1 0 4 2 2 2 0 0 3 , 12.63/3.46 4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 , 12.63/3.46 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.46 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.46 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.46 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.46 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.46 12.63/3.46 12.63/3.46 The system was filtered by the following matrix interpretation 12.63/3.46 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.46 12.63/3.46 5 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 1 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 1 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 1 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 1 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 1 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 2 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 3 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 1 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 0 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 4 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 1 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 12.63/3.46 Remains to prove termination of the 27-rule system 12.63/3.46 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.46 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.46 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.46 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.46 2 2 5 3 5 -> 0 1 1 5 3 0 3 3 1 4 , 12.63/3.46 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.46 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.46 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.46 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.46 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.46 2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 , 12.63/3.46 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.46 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.46 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.46 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.46 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.46 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.46 5 1 5 0 2 5 -> 5 2 2 5 3 1 4 1 4 4 , 12.63/3.46 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.46 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.46 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.46 4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 , 12.63/3.46 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.46 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.46 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.46 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.46 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.46 12.63/3.46 12.63/3.46 The system was filtered by the following matrix interpretation 12.63/3.46 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.46 12.63/3.46 5 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 1 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 1 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 1 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 2 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 1 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 3 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 0 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 1 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 4 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 12.63/3.46 Remains to prove termination of the 26-rule system 12.63/3.46 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.46 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.46 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.46 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.46 2 2 5 3 5 -> 0 1 1 5 3 0 3 3 1 4 , 12.63/3.46 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.46 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.46 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.46 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.46 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.46 2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 , 12.63/3.46 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.46 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.46 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.46 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.46 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.46 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.46 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.46 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.46 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.46 4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 , 12.63/3.46 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.46 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.46 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.46 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.46 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.46 12.63/3.46 12.63/3.46 The system was filtered by the following matrix interpretation 12.63/3.46 of type E_J with J = {1,...,2} and dimension 6: 12.63/3.46 12.63/3.46 5 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 1 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 1 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 2 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 1 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 3 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 1 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 0 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 1 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 4 is interpreted by 12.63/3.46 / \ 12.63/3.46 | 1 0 0 0 0 0 | 12.63/3.46 | 0 1 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 | 0 0 0 0 0 0 | 12.63/3.46 \ / 12.63/3.46 12.63/3.46 Remains to prove termination of the 25-rule system 12.63/3.46 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.46 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.46 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.46 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.47 2 5 4 0 2 5 -> 3 2 0 4 0 2 3 0 4 5 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.47 4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 24-rule system 12.63/3.47 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.47 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.47 4 0 5 2 4 2 5 -> 4 4 4 2 4 2 0 2 1 5 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 14: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 23-rule system 12.63/3.47 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.47 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 2 3 2 5 1 0 5 -> 2 0 3 3 3 1 0 5 4 5 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 11: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 22-rule system 12.63/3.47 { 0 2 2 4 -> 1 1 3 0 1 2 2 2 1 4 , 12.63/3.47 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 5: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 21-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 2 2 0 2 3 4 -> 3 3 2 3 2 1 2 3 2 4 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 10: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 20-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 2 2 5 3 0 2 -> 1 4 2 1 0 2 3 2 4 4 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 19-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 0 0 5 1 1 5 -> 3 1 0 3 3 0 3 2 1 5 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 18-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 3 4 0 1 5 3 -> 4 4 4 2 3 0 4 3 5 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 17-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 0 5 3 4 -> 4 0 3 1 1 1 0 0 0 4 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 13: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 16-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 2 4 0 5 4 -> 2 4 3 1 4 4 0 5 4 4 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 6: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 15-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 4 1 2 4 5 1 4 -> 4 4 3 3 4 0 4 4 5 4 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 14-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 5 4 0 0 -> 0 4 3 0 4 3 3 5 0 0 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 5: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 | 12.63/3.47 | 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 13-rule system 12.63/3.47 { 1 5 4 0 -> 0 4 4 2 3 3 0 3 3 2 , 12.63/3.47 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 11: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 1 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 12-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 2 4 0 5 0 -> 1 1 2 4 4 1 2 2 5 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 6: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 11-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 4 3 0 2 5 0 -> 4 1 3 4 1 1 0 1 5 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 10-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 1 1 5 2 0 0 -> 2 3 0 1 1 1 2 3 1 0 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 9-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 , 12.63/3.47 5 4 2 3 1 5 0 -> 1 2 2 3 3 0 0 2 4 1 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 8: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 8-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 4 0 5 2 4 0 -> 2 1 3 3 0 4 2 2 0 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 7-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 5 1 4 0 5 2 -> 5 4 5 1 5 1 2 0 3 3 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 1 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 6-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 5 3 4 0 -> 3 0 3 3 5 2 3 3 4 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 6: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 1 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 3 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 0 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 4 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 | 12.63/3.47 | 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 12.63/3.47 Remains to prove termination of the 5-rule system 12.63/3.47 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.47 3 4 2 5 0 0 -> 0 4 0 0 3 0 3 3 0 0 , 12.63/3.47 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.47 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.47 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.47 12.63/3.47 12.63/3.47 The system was filtered by the following matrix interpretation 12.63/3.47 of type E_J with J = {1,...,2} and dimension 7: 12.63/3.47 12.63/3.47 5 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 1 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 1 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 1 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 | 0 0 0 0 0 0 0 | 12.63/3.47 \ / 12.63/3.47 2 is interpreted by 12.63/3.47 / \ 12.63/3.47 | 1 0 0 0 0 0 0 | 12.63/3.47 | 0 1 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 1 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 \ / 12.63/3.48 3 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 1 0 0 0 0 | 12.63/3.48 | 0 1 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 1 0 0 0 0 0 | 12.63/3.48 \ / 12.63/3.48 0 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 0 0 0 0 0 | 12.63/3.48 | 0 1 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 1 | 12.63/3.48 | 0 1 0 0 0 0 0 | 12.63/3.48 \ / 12.63/3.48 4 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 0 0 0 0 0 | 12.63/3.48 | 0 1 0 0 0 0 0 | 12.63/3.48 | 0 0 0 1 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 | 0 0 0 0 0 0 0 | 12.63/3.48 \ / 12.63/3.48 12.63/3.48 Remains to prove termination of the 4-rule system 12.63/3.48 { 0 5 0 2 1 -> 1 2 1 2 2 3 0 1 2 0 , 12.63/3.48 4 0 0 0 4 0 -> 1 4 3 2 4 3 5 0 2 0 , 12.63/3.48 0 5 3 2 5 1 0 -> 3 3 0 1 3 4 5 1 4 0 , 12.63/3.48 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.48 12.63/3.48 12.63/3.48 The system was filtered by the following matrix interpretation 12.63/3.48 of type E_J with J = {1,...,2} and dimension 2: 12.63/3.48 12.63/3.48 5 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 1 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 1 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 2 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 3 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 0 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 1 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 4 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 12.63/3.48 Remains to prove termination of the 1-rule system 12.63/3.48 { 2 2 5 3 4 0 1 -> 2 1 2 2 4 0 2 0 1 3 } 12.63/3.48 12.63/3.48 12.63/3.48 The system was filtered by the following matrix interpretation 12.63/3.48 of type E_J with J = {1,...,2} and dimension 2: 12.63/3.48 12.63/3.48 5 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 1 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 1 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 2 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 3 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 0 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 4 is interpreted by 12.63/3.48 / \ 12.63/3.48 | 1 0 | 12.63/3.48 | 0 1 | 12.63/3.48 \ / 12.63/3.48 12.63/3.48 Remains to prove termination of the 0-rule system 12.63/3.48 { } 12.63/3.48 12.63/3.48 12.63/3.48 The system is trivially terminating. 15.49/4.44 EOF