17.56/4.78 YES 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 45-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 1 1 1 1 1 -> 1 5 1 1 4 4 2 3 4 1 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 1 5 1 3 0 -> 1 5 0 2 3 2 2 3 3 2 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 44-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 1 1 1 1 1 -> 1 5 1 1 4 4 2 3 4 1 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 43-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 1 1 1 1 1 -> 1 5 1 1 4 4 2 3 4 1 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 42-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 41-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 40-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 39-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 1 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 38-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 1 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 37-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 36-rule system 18.31/4.95 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 18.31/4.95 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 18.31/4.95 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 4: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 1 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 | 18.31/4.95 | 0 1 0 0 | 18.31/4.95 | 0 0 0 0 | 18.31/4.95 | 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 27-rule system 18.31/4.95 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 11: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 26-rule system 18.31/4.95 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 12: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 25-rule system 18.31/4.95 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.95 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.95 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.95 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.95 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.95 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 18.31/4.95 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.95 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.95 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.95 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.95 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.95 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.95 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.95 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.95 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.95 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.95 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.95 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.95 18.31/4.95 18.31/4.95 The system was filtered by the following matrix interpretation 18.31/4.95 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.95 18.31/4.95 0 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 1 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 1 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 1 0 0 | 18.31/4.95 | 0 0 0 0 0 0 1 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 1 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 2 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 3 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 4 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 \ / 18.31/4.95 5 is interpreted by 18.31/4.95 / \ 18.31/4.95 | 1 0 0 0 0 0 0 0 | 18.31/4.95 | 0 1 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 1 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 0 | 18.31/4.95 | 0 0 0 0 0 0 0 1 | 18.31/4.95 \ / 18.31/4.95 18.31/4.95 Remains to prove termination of the 24-rule system 18.31/4.95 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.95 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.95 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.95 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.95 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.95 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.95 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.95 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.96 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.96 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 1 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 1 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 1 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 23-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.96 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 22-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 21-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 20-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 9: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 19-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 14: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 18-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 17-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 14: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 16-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 15-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 18.31/4.96 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 18.31/4.96 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 4: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 1 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 | 18.31/4.96 | 0 1 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 | 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 8-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 1 0 | 18.31/4.96 | 0 0 0 0 0 1 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 0 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 1 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 1 0 0 0 | 18.31/4.96 | 0 1 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 | 0 0 0 0 0 0 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 7-rule system 18.31/4.96 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 18.31/4.96 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 18.31/4.96 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 18.31/4.96 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 18.31/4.96 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 1 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 1 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 2-rule system 18.31/4.96 { 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 18.31/4.96 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 } 18.31/4.96 18.31/4.96 18.31/4.96 The system was filtered by the following matrix interpretation 18.31/4.96 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.96 18.31/4.96 0 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 1 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 2 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 3 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 4 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 1 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 5 is interpreted by 18.31/4.96 / \ 18.31/4.96 | 1 0 | 18.31/4.96 | 0 1 | 18.31/4.96 \ / 18.31/4.96 18.31/4.96 Remains to prove termination of the 0-rule system 18.31/4.96 { } 18.31/4.96 18.31/4.96 18.31/4.96 The system is trivially terminating. 19.90/5.62 EOF