0.00/0.47 YES 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.49 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 5 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 2 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 9 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 1-rule system 0.00/0.49 { 3 4 5 -> 4 3 5 } 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.49 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 1 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 0-rule system 0.00/0.49 { } 0.00/0.49 0.00/0.49 0.00/0.49 The system is trivially terminating. 0.00/0.51 EOF