0.00/0.41 YES 0.00/0.42 0.00/0.42 0.00/0.42 0.00/0.42 0.00/0.42 The system was filtered by the following matrix interpretation 0.00/0.42 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.42 0.00/0.42 0 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 5 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 1 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 3 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 4 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 5 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 2 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 3 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 0.00/0.42 Remains to prove termination of the 1-rule system 0.00/0.42 { 3 4 5 -> 4 3 5 } 0.00/0.42 0.00/0.42 0.00/0.42 The system was filtered by the following matrix interpretation 0.00/0.42 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.42 0.00/0.42 0 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 \ / 0.00/0.42 1 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 \ / 0.00/0.42 3 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 1 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 \ / 0.00/0.42 4 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 1 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 \ / 0.00/0.42 5 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 \ / 0.00/0.42 2 is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 0 0 | 0.00/0.42 | 0 1 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 | 0 0 0 0 | 0.00/0.42 \ / 0.00/0.42 0.00/0.42 Remains to prove termination of the 0-rule system 0.00/0.42 { } 0.00/0.42 0.00/0.42 0.00/0.42 The system is trivially terminating. 0.00/0.45 EOF