0.00/0.35 YES 0.00/0.36 0.00/0.36 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.36 0.00/0.36 0 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 2 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 1 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 1 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 3 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 4 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 5 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 2 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 17 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 1-rule system 0.00/0.36 { 3 4 5 -> 4 3 5 } 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.36 0.00/0.36 0 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 1 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 3 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 1 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 4 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 1 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 5 is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.37 | 0 1 0 0 | 0.00/0.37 \ / 0.00/0.37 2 is interpreted by 0.00/0.37 / \ 0.00/0.37 | 1 0 0 0 | 0.00/0.37 | 0 1 0 0 | 0.00/0.37 | 0 0 0 0 | 0.00/0.37 | 0 0 0 0 | 0.00/0.37 \ / 0.00/0.37 0.00/0.37 Remains to prove termination of the 0-rule system 0.00/0.37 { } 0.00/0.37 0.00/0.37 0.00/0.37 The system is trivially terminating. 0.00/0.40 EOF