0.00/0.46 YES 0.00/0.47 0.00/0.47 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.47 0.00/0.47 0 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 12 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 1 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 11 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 3 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 4 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 5 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 2 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 12 | 0.00/0.47 | 0 1 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 1-rule system 0.00/0.47 { 3 4 5 -> 4 3 5 } 0.00/0.47 0.00/0.47 0.00/0.47 The system was filtered by the following matrix interpretation 0.00/0.47 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.47 0.00/0.47 0 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 1 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 3 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 1 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 4 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 1 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 5 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 \ / 0.00/0.47 2 is interpreted by 0.00/0.47 / \ 0.00/0.47 | 1 0 0 0 | 0.00/0.47 | 0 1 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 | 0 0 0 0 | 0.00/0.47 \ / 0.00/0.47 0.00/0.47 Remains to prove termination of the 0-rule system 0.00/0.47 { } 0.00/0.47 0.00/0.47 0.00/0.47 The system is trivially terminating. 0.00/0.48 EOF