29.70/7.90 YES 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 7: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 31-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 2 1 -> 2 4 1 5 4 3 2 3 1 2 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 4 2 4 1 3 5 -> 4 4 3 3 5 0 0 0 2 5 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 4 2 5 0 1 4 2 -> 4 2 5 3 0 1 2 3 2 1 , 31.14/8.25 5 2 2 0 4 4 2 -> 2 0 1 1 2 4 5 5 0 2 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 , 31.14/8.25 5 5 1 4 4 2 5 -> 3 5 0 5 4 0 1 5 2 5 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 8: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 1 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 30-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 2 1 -> 2 4 1 5 4 3 2 3 1 2 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 4 2 4 1 3 5 -> 4 4 3 3 5 0 0 0 2 5 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 4 4 2 -> 2 0 1 1 2 4 5 5 0 2 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 , 31.14/8.25 5 5 1 4 4 2 5 -> 3 5 0 5 4 0 1 5 2 5 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 8: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 29-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 2 1 -> 2 4 1 5 4 3 2 3 1 2 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 4 2 4 1 3 5 -> 4 4 3 3 5 0 0 0 2 5 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 4 4 2 -> 2 0 1 1 2 4 5 5 0 2 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 25: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 28-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 2 1 -> 2 4 1 5 4 3 2 3 1 2 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 4 4 2 -> 2 0 1 1 2 4 5 5 0 2 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 19: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 27-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 2 1 -> 2 4 1 5 4 3 2 3 1 2 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 17: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 26-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 2 4 1 -> 0 2 2 0 3 0 2 5 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 11: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 25-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 1 5 5 3 2 2 -> 0 1 2 4 0 5 0 1 2 3 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 1 5 5 4 0 2 5 -> 1 1 4 3 2 1 4 1 1 5 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 22: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 23-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 1 2 4 2 4 -> 4 3 2 0 1 2 3 0 5 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 12: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 0 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 5 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 1 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 1 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 3 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 1 0 0 0 0 1 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 31.14/8.25 Remains to prove termination of the 22-rule system 31.14/8.25 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.25 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.25 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.25 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.25 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.25 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.25 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.25 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.25 1 5 4 2 1 -> 3 4 1 3 3 3 3 3 0 1 , 31.14/8.25 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.25 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.25 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.25 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.25 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.25 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.25 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.25 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.25 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.25 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.25 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.25 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.25 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.25 31.14/8.25 31.14/8.25 The system was filtered by the following matrix interpretation 31.14/8.25 of type E_J with J = {1,...,2} and dimension 6: 31.14/8.25 31.14/8.25 2 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 1 | 31.14/8.25 | 0 0 0 0 0 0 | 31.14/8.25 \ / 31.14/8.25 4 is interpreted by 31.14/8.25 / \ 31.14/8.25 | 1 0 0 0 0 0 | 31.14/8.25 | 0 1 0 0 0 0 | 31.14/8.25 | 0 0 0 0 0 0 | 31.14/8.25 | 0 0 0 0 1 0 | 31.14/8.25 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 21-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 0 1 4 0 0 4 2 -> 0 1 0 1 5 2 1 0 1 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 8: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 20-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 3 2 4 4 2 -> 3 3 3 0 2 3 1 4 0 4 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 11: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 19-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 1 4 4 1 4 -> 3 3 2 1 0 5 0 5 2 4 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 18: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 18-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 4 4 2 -> 3 4 0 3 0 2 5 5 1 2 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 17: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 17-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 1 3 0 5 4 1 4 -> 1 0 3 0 1 3 1 3 2 4 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 20: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 16-rule system 31.14/8.26 { 2 4 2 -> 0 2 0 0 5 1 0 2 0 4 , 31.14/8.26 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 2 4 2 1 -> 0 1 0 3 5 3 2 3 2 1 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 1 0 4 4 2 5 5 -> 1 0 4 1 0 5 3 5 2 5 , 31.14/8.26 2 4 2 1 5 4 1 -> 0 1 0 4 0 3 0 5 4 1 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 8: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 1 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 1 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 12-rule system 31.14/8.26 { 1 5 3 1 -> 1 1 5 4 3 0 2 1 1 1 , 31.14/8.26 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 5: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 11-rule system 31.14/8.26 { 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 3 4 2 2 0 5 -> 0 1 3 1 2 0 2 0 4 3 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 7: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 10-rule system 31.14/8.26 { 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 , 31.14/8.26 5 3 1 4 2 4 0 -> 5 5 3 1 1 3 0 1 5 2 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 8: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 1 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 3 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 31.14/8.26 Remains to prove termination of the 9-rule system 31.14/8.26 { 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.14/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.14/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.14/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.14/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.14/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.14/8.26 2 5 3 0 4 4 -> 2 2 5 0 4 4 5 0 4 4 , 31.14/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.14/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 } 31.14/8.26 31.14/8.26 31.14/8.26 The system was filtered by the following matrix interpretation 31.14/8.26 of type E_J with J = {1,...,2} and dimension 11: 31.14/8.26 31.14/8.26 2 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 1 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 4 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 1 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 0 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 1 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 5 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 0 0 0 0 0 1 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 1 0 0 0 0 0 0 0 | 31.14/8.26 \ / 31.14/8.26 1 is interpreted by 31.14/8.26 / \ 31.14/8.26 | 1 0 1 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.14/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 1 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 1 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 8-rule system 31.19/8.26 { 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.19/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.19/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.19/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 , 31.19/8.26 5 2 2 0 5 4 0 -> 1 5 1 3 0 0 1 3 2 1 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 13: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 7-rule system 31.19/8.26 { 1 5 4 0 -> 3 3 1 1 1 4 0 1 0 0 , 31.19/8.26 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.19/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.19/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 5: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 1 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 6-rule system 31.19/8.26 { 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 1 4 2 4 0 -> 5 1 4 3 5 0 0 0 3 0 , 31.19/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.19/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 6: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 1 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 1 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 5-rule system 31.19/8.26 { 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 2 1 4 4 1 -> 2 5 0 2 2 1 2 0 0 0 , 31.19/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 10: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 1 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 1 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 1 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 1 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 1 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 1 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 4-rule system 31.19/8.26 { 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 5 3 2 1 5 -> 0 4 0 4 3 4 3 2 2 5 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 6: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 1 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 1 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 1 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 0 0 0 0 | 31.19/8.26 | 0 1 0 0 0 0 | 31.19/8.26 | 0 0 0 1 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 | 0 0 0 0 0 0 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 3-rule system 31.19/8.26 { 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 , 31.19/8.26 1 4 0 4 0 5 -> 5 1 1 2 4 0 2 1 3 5 , 31.19/8.26 4 1 1 4 0 4 -> 4 0 2 3 5 0 4 1 5 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 2: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 1 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 1-rule system 31.19/8.26 { 1 4 1 2 0 -> 5 2 0 4 0 5 0 5 1 2 } 31.19/8.26 31.19/8.26 31.19/8.26 The system was filtered by the following matrix interpretation 31.19/8.26 of type E_J with J = {1,...,2} and dimension 2: 31.19/8.26 31.19/8.26 2 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 4 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 0 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 5 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 1 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 1 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 3 is interpreted by 31.19/8.26 / \ 31.19/8.26 | 1 0 | 31.19/8.26 | 0 1 | 31.19/8.26 \ / 31.19/8.26 31.19/8.26 Remains to prove termination of the 0-rule system 31.19/8.26 { } 31.19/8.26 31.19/8.26 31.19/8.26 The system is trivially terminating. 32.59/8.70 EOF