0.00/0.42 YES 0.00/0.43 0.00/0.43 0.00/0.43 0.00/0.43 0.00/0.43 The system was filtered by the following matrix interpretation 0.00/0.43 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.43 0.00/0.43 0 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 10 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 1 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 9 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 3 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 4 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 5 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 2 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 37 | 0.00/0.43 | 0 1 | 0.00/0.43 \ / 0.00/0.43 0.00/0.43 Remains to prove termination of the 1-rule system 0.00/0.43 { 3 4 5 -> 4 3 5 } 0.00/0.43 0.00/0.43 0.00/0.43 The system was filtered by the following matrix interpretation 0.00/0.43 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.43 0.00/0.43 0 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 1 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 3 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 1 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 4 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 1 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 5 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 \ / 0.00/0.43 2 is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 0.00/0.43 Remains to prove termination of the 0-rule system 0.00/0.43 { } 0.00/0.43 0.00/0.43 0.00/0.43 The system is trivially terminating. 0.00/0.46 EOF