0.00/0.50 YES 0.00/0.51 0.00/0.51 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 5 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 4 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 7 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 1-rule system 0.00/0.51 { 3 4 5 -> 4 3 5 } 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 1 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 1 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 | 0.00/0.51 | 0 1 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 | 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 0-rule system 0.00/0.51 { } 0.00/0.51 0.00/0.51 0.00/0.51 The system is trivially terminating. 1.31/0.54 EOF