37.75/9.85 YES 38.29/10.01 38.29/10.01 38.29/10.01 The system was filtered by the following matrix interpretation 38.29/10.01 of type E_J with J = {1,...,2} and dimension 5: 38.29/10.01 38.29/10.01 3 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 1 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 5 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 0 1 0 | 38.29/10.01 | 0 0 0 0 1 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 \ / 38.29/10.01 1 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 1 | 38.29/10.01 \ / 38.29/10.01 0 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 4 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 2 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 38.29/10.01 Remains to prove termination of the 44-rule system 38.29/10.01 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.01 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.01 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.01 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.01 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.01 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.01 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.01 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.01 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.01 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.01 5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 , 38.29/10.01 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.01 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.01 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.01 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.01 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.01 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.01 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.01 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.01 3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 , 38.29/10.01 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.01 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.01 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.01 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.01 5 5 3 2 3 5 -> 1 4 2 4 1 2 2 4 1 5 , 38.29/10.01 5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 , 38.29/10.01 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.01 1 5 1 3 5 5 5 -> 5 1 2 3 0 2 2 0 5 5 , 38.29/10.01 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.01 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.01 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.01 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.01 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.01 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.01 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.01 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.01 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.01 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.01 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.01 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.01 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.01 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.01 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.01 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.01 38.29/10.01 38.29/10.01 The system was filtered by the following matrix interpretation 38.29/10.01 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.01 38.29/10.01 3 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 1 0 0 0 0 | 38.29/10.01 | 0 0 0 0 1 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 1 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 5 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 1 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 1 | 38.29/10.01 \ / 38.29/10.01 0 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 4 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 2 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 1 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 38.29/10.01 Remains to prove termination of the 43-rule system 38.29/10.01 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.01 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.01 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.01 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.01 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.01 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.01 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.01 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.01 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.01 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.01 5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 , 38.29/10.01 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.01 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.01 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.01 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.01 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.01 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.01 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.01 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.01 3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 , 38.29/10.01 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.01 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.01 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.01 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.01 5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 , 38.29/10.01 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.01 1 5 1 3 5 5 5 -> 5 1 2 3 0 2 2 0 5 5 , 38.29/10.01 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.01 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.01 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.01 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.01 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.01 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.01 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.01 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.01 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.01 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.01 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.01 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.01 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.01 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.01 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.01 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.01 38.29/10.01 38.29/10.01 The system was filtered by the following matrix interpretation 38.29/10.01 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.01 38.29/10.01 3 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 1 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 5 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 1 1 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 1 0 | 38.29/10.01 | 0 0 0 0 0 0 0 1 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 1 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 1 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 0 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 4 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 2 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 38.29/10.01 Remains to prove termination of the 42-rule system 38.29/10.01 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.01 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.01 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.01 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.01 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.01 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.01 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.01 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.01 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.01 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.01 5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 , 38.29/10.01 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.01 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.01 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.01 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.01 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.01 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.01 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.01 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.01 3 5 3 1 5 5 -> 3 2 4 4 1 1 4 0 2 4 , 38.29/10.01 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.01 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.01 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.01 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.01 5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 , 38.29/10.01 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.01 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.01 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.01 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.01 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.01 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.01 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.01 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.01 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.01 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.01 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.01 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.01 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.01 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.01 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.01 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.01 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.01 38.29/10.01 38.29/10.01 The system was filtered by the following matrix interpretation 38.29/10.01 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.01 38.29/10.01 3 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 1 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 5 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 1 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 1 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 1 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 0 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 4 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 2 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 38.29/10.01 Remains to prove termination of the 41-rule system 38.29/10.01 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.01 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.01 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.01 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.01 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.01 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.01 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.01 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.01 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.01 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.01 5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 , 38.29/10.01 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.01 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.01 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.01 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.01 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.01 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.01 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.01 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.01 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.01 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.01 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.01 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.01 5 5 5 1 3 1 -> 5 1 2 4 4 4 1 3 3 4 , 38.29/10.01 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.01 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.01 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.01 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.01 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.01 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.01 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.01 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.01 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.01 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.01 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.01 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.01 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.01 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.01 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.01 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.01 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.01 38.29/10.01 38.29/10.01 The system was filtered by the following matrix interpretation 38.29/10.01 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.01 38.29/10.01 3 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 1 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 1 | 38.29/10.01 | 0 0 0 0 0 0 1 | 38.29/10.01 \ / 38.29/10.01 5 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 1 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 1 0 0 0 | 38.29/10.01 | 0 0 0 0 1 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 1 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 1 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.01 0 is interpreted by 38.29/10.01 / \ 38.29/10.01 | 1 0 0 0 0 0 0 | 38.29/10.01 | 0 1 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 | 0 0 0 0 0 0 0 | 38.29/10.01 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 40-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 3 1 5 1 -> 3 2 1 1 0 3 0 1 5 1 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 6: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 39-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 1 5 3 1 3 -> 1 3 4 4 2 0 2 3 1 2 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 6: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 1 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 38-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 2 5 4 5 5 5 -> 2 4 2 1 2 4 4 4 0 5 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 37-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 0 5 5 5 3 -> 5 0 4 4 0 1 2 3 3 3 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 36-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 2 4 1 5 5 1 -> 0 5 0 3 4 1 0 3 5 1 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 14: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 35-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 0 3 1 3 0 5 -> 4 4 3 3 4 4 0 5 2 3 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 34-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 2 4 0 1 3 5 -> 2 3 2 0 2 0 3 1 4 3 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 13: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 33-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 3 5 5 5 1 4 1 -> 1 4 4 0 0 1 0 1 3 1 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 14: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 32-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 0 5 5 0 1 -> 2 3 4 5 4 2 1 2 5 1 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 31-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 2 5 3 5 0 -> 5 2 0 4 0 3 2 3 3 0 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 30-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 1 0 4 5 3 5 0 -> 1 0 2 1 2 5 2 0 5 2 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 29-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 2 5 5 0 0 3 -> 1 4 4 3 1 0 1 3 0 3 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 14: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 28-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 4 3 1 5 5 -> 4 0 3 1 2 3 2 1 1 5 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 11: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 27-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 4 5 3 2 5 3 -> 5 4 3 1 1 4 2 0 3 5 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 1 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 26-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 0 5 5 3 5 4 -> 5 3 5 5 0 1 1 2 3 4 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 1 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 25-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 1 5 0 0 1 5 -> 4 3 0 5 3 5 2 1 4 5 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 24-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 2 0 5 3 4 1 -> 2 3 4 0 3 3 0 1 2 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 13: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 23-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 1 5 0 -> 4 4 4 2 5 5 0 1 4 0 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 1 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 0 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 4 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 2 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 38.29/10.02 Remains to prove termination of the 22-rule system 38.29/10.02 { 3 5 3 -> 1 0 3 4 4 3 1 4 5 4 , 38.29/10.02 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.02 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.02 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.02 2 3 5 5 0 -> 4 0 1 4 2 1 2 0 1 0 , 38.29/10.02 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.02 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.02 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.02 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.02 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.02 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.02 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.02 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.02 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.02 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.02 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.02 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.02 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.02 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.02 4 5 5 3 5 5 3 -> 0 1 4 0 1 3 2 4 1 4 , 38.29/10.02 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.02 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.02 38.29/10.02 38.29/10.02 The system was filtered by the following matrix interpretation 38.29/10.02 of type E_J with J = {1,...,2} and dimension 9: 38.29/10.02 38.29/10.02 3 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 1 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 5 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 1 0 0 0 0 0 | 38.29/10.02 | 0 1 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 1 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 | 0 0 0 0 0 0 0 0 0 | 38.29/10.02 \ / 38.29/10.02 1 is interpreted by 38.29/10.02 / \ 38.29/10.02 | 1 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 1 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 1 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 19-rule system 38.29/10.03 { 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.03 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.03 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.03 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 0 1 5 3 0 1 -> 4 4 5 1 1 1 4 0 3 1 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.03 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.03 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.03 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.03 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 1 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 18-rule system 38.29/10.03 { 5 0 0 -> 5 0 3 2 1 2 3 4 0 0 , 38.29/10.03 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.03 4 5 0 4 -> 4 0 4 0 4 0 3 4 4 4 , 38.29/10.03 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 4 3 5 0 4 2 -> 4 3 4 3 4 1 3 1 4 2 , 38.29/10.03 5 0 5 0 4 2 -> 5 4 4 4 4 0 4 4 3 0 , 38.29/10.03 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.03 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.03 4 1 5 0 0 1 3 -> 0 2 1 1 1 1 4 5 1 3 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 4 5 5 5 0 4 3 -> 0 3 3 3 2 0 2 3 2 3 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 4: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 1 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 | 38.29/10.03 | 0 1 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 | 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 12-rule system 38.29/10.03 { 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.03 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 5 5 1 5 3 0 -> 2 2 0 1 4 3 0 3 3 4 , 38.29/10.03 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 7: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 1 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 11-rule system 38.29/10.03 { 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.03 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 3 0 1 5 1 3 0 -> 3 0 0 3 1 2 1 5 4 2 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 8: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 1 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 1 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 10-rule system 38.29/10.03 { 0 1 0 4 -> 4 2 1 2 3 4 4 3 0 4 , 38.29/10.03 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 5: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 | 38.29/10.03 | 0 0 1 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 9-rule system 38.29/10.03 { 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 0 2 4 2 -> 5 2 1 2 3 0 0 3 4 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 6: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 1 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 1 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 1 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 0 0 0 1 0 | 38.29/10.03 | 0 0 0 0 0 0 | 38.29/10.03 | 0 1 0 0 0 0 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 8-rule system 38.29/10.03 { 4 1 0 0 0 -> 4 1 4 1 0 5 1 2 4 2 , 38.29/10.03 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 1 3 1 5 0 -> 0 2 2 2 1 1 2 3 1 4 , 38.29/10.03 4 2 3 5 0 5 0 -> 4 4 4 0 0 1 5 2 3 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 , 38.29/10.03 5 5 5 3 0 4 2 -> 5 5 2 1 5 4 3 4 4 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 2: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 1 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 1 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 4-rule system 38.29/10.03 { 4 1 5 5 3 -> 2 1 2 3 0 3 2 5 1 2 , 38.29/10.03 5 5 3 0 2 -> 3 2 3 4 5 2 1 2 0 0 , 38.29/10.03 0 1 5 1 0 4 -> 3 2 0 4 0 1 4 3 0 4 , 38.29/10.03 4 2 5 5 0 2 2 -> 4 2 1 0 0 1 4 5 1 2 } 38.29/10.03 38.29/10.03 38.29/10.03 The system was filtered by the following matrix interpretation 38.29/10.03 of type E_J with J = {1,...,2} and dimension 2: 38.29/10.03 38.29/10.03 3 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 5 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 1 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 1 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 0 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 4 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 2 is interpreted by 38.29/10.03 / \ 38.29/10.03 | 1 0 | 38.29/10.03 | 0 1 | 38.29/10.03 \ / 38.29/10.03 38.29/10.03 Remains to prove termination of the 0-rule system 38.29/10.03 { } 38.29/10.03 38.29/10.03 38.29/10.03 The system is trivially terminating. 38.46/10.08 EOF