31.16/8.27 YES 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 1 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 1 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 45-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 0 4 1 -> 0 4 0 0 3 4 5 1 5 3 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 , 31.70/8.46 0 4 1 0 -> 5 3 4 2 2 2 0 2 4 3 , 31.70/8.46 1 0 4 1 -> 4 5 1 5 3 3 3 3 0 3 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 0 4 1 1 0 4 3 -> 5 5 2 0 2 5 2 4 2 5 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 1 2 5 0 -> 3 1 0 2 0 4 0 0 2 3 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 4: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 1 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 40-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 0 3 3 1 0 1 -> 5 3 2 0 2 4 3 2 4 1 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 7: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 39-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 0 4 2 2 -> 5 5 3 3 5 4 4 1 0 2 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 38-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 3 1 2 0 2 1 -> 3 3 1 2 0 5 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 12: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 37-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 0 1 3 3 -> 4 0 0 2 1 5 3 4 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 5: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 36-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 1 3 3 1 3 -> 5 4 2 0 5 3 3 4 3 3 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 35-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 0 5 2 2 -> 1 0 5 3 1 5 3 3 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 12: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 34-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 3 0 3 1 0 1 -> 0 2 4 5 2 2 5 3 4 2 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 7: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 33-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 3 0 4 3 3 0 1 -> 0 3 2 0 5 2 2 1 5 1 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 32-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 0 1 1 0 -> 5 3 4 2 3 3 5 1 3 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 0 1 1 1 4 0 0 -> 4 0 1 2 3 5 4 5 0 2 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 5: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 30-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 1 1 5 0 4 0 -> 1 2 0 2 0 5 5 4 5 3 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 1 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 29-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 3 5 3 4 3 5 -> 4 4 2 5 5 2 2 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 28-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 0 1 -> 5 4 2 1 2 5 2 5 2 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 0 1 1 -> 2 2 5 2 2 5 0 0 2 1 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 1 2 0 1 4 -> 4 0 4 2 1 2 2 5 2 4 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 3 0 1 0 1 4 0 -> 3 4 5 5 0 5 5 1 3 0 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 , 31.70/8.46 5 2 0 1 1 3 1 -> 5 3 0 5 3 2 1 4 1 1 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 1 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 23-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 1 2 0 -> 1 4 4 5 1 1 4 1 4 3 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 22-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 0 1 0 1 0 -> 3 2 5 2 0 2 0 0 1 2 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 12: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 21-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 2 1 1 -> 2 5 3 1 5 3 3 3 4 4 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 1 1 1 3 0 -> 1 5 3 0 5 1 5 3 1 0 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 1 1 1 0 3 0 -> 3 0 2 5 1 4 4 0 0 2 , 31.70/8.46 1 2 1 1 3 0 0 -> 1 5 2 4 2 3 4 2 4 4 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 4: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 1 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 | 31.70/8.46 | 0 1 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 | 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 17-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 1 0 4 4 3 -> 4 0 5 5 3 2 2 5 2 2 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 16-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 1 3 1 3 -> 5 1 0 0 2 5 5 4 2 3 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 11: 31.70/8.46 31.70/8.46 0 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 1 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 2 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 1 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 3 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 4 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 5 is interpreted by 31.70/8.46 / \ 31.70/8.46 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.46 \ / 31.70/8.46 31.70/8.46 Remains to prove termination of the 15-rule system 31.70/8.46 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.46 1 0 5 2 -> 1 0 2 3 4 5 1 0 2 2 , 31.70/8.46 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.46 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.46 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.46 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.46 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.46 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.46 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.46 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.46 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.46 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.46 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.46 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.46 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.46 31.70/8.46 31.70/8.46 The system was filtered by the following matrix interpretation 31.70/8.46 of type E_J with J = {1,...,2} and dimension 11: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 14-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 1 4 2 1 -> 4 3 2 5 1 5 4 5 5 2 , 31.70/8.47 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.47 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.47 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.47 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.47 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.47 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 10: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 1 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 13-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.47 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.47 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.47 1 4 0 4 3 1 -> 3 0 2 1 2 0 2 1 5 4 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.47 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.47 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 12: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 12-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.47 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 1 2 1 0 -> 2 3 0 5 1 5 4 5 3 0 , 31.70/8.47 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.47 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.47 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 12: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 11-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.47 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 2 4 4 3 -> 5 5 3 1 5 4 5 2 5 3 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.47 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.47 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 1 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 1 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 10-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 2 1 0 0 -> 4 4 5 3 3 5 0 2 5 5 , 31.70/8.47 0 5 1 0 0 -> 0 2 3 0 2 2 2 2 2 2 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 1 3 1 3 1 0 4 -> 4 4 5 1 2 1 5 0 0 5 , 31.70/8.47 1 4 2 5 1 0 2 -> 4 4 0 1 5 4 3 5 3 2 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 , 31.70/8.47 5 1 3 4 1 0 0 -> 2 4 5 3 5 1 2 2 4 0 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 2: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 1 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 | 31.70/8.47 | 0 1 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 5-rule system 31.70/8.47 { 0 1 -> 0 2 3 4 5 1 4 3 4 5 , 31.70/8.47 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 , 31.70/8.47 4 0 3 3 0 1 3 -> 0 3 3 2 3 4 5 5 1 3 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 3: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 | 31.70/8.47 | 0 1 0 | 31.70/8.47 | 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 3-rule system 31.70/8.47 { 0 5 5 2 4 -> 0 0 4 0 0 5 5 3 5 4 , 31.70/8.47 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 6: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 2-rule system 31.70/8.47 { 2 0 3 1 5 5 -> 2 3 4 2 4 5 0 5 1 4 , 31.70/8.47 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 7: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 | 31.70/8.47 | 0 1 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 1-rule system 31.70/8.47 { 1 0 4 3 3 5 5 -> 5 5 3 4 5 0 3 1 5 5 } 31.70/8.47 31.70/8.47 31.70/8.47 The system was filtered by the following matrix interpretation 31.70/8.47 of type E_J with J = {1,...,2} and dimension 8: 31.70/8.47 31.70/8.47 0 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 1 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 1 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 1 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 2 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 3 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 1 0 0 | 31.70/8.47 | 0 0 0 0 0 0 1 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 4 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 1 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 5 is interpreted by 31.70/8.47 / \ 31.70/8.47 | 1 0 0 0 0 0 0 0 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 0 | 31.70/8.47 | 0 0 0 0 0 0 0 1 | 31.70/8.47 | 0 1 0 0 0 0 0 0 | 31.70/8.47 \ / 31.70/8.47 31.70/8.47 Remains to prove termination of the 0-rule system 31.70/8.47 { } 31.70/8.47 31.70/8.47 31.70/8.47 The system is trivially terminating. 32.85/8.78 EOF