2.33/0.83 YES 2.33/0.85 2.33/0.85 2.33/0.85 The system was filtered by the following matrix interpretation 2.33/0.85 of type E_J with J = {1,...,2} and dimension 9: 2.33/0.85 2.33/0.85 a is interpreted by 2.33/0.85 / \ 2.33/0.85 | 1 0 1 0 0 0 0 0 0 | 2.33/0.85 | 0 1 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 1 0 0 | 2.33/0.85 | 0 0 1 0 0 0 0 1 0 | 2.33/0.85 | 0 0 1 0 0 0 0 0 2 | 2.33/0.85 | 0 1 1 0 0 1 0 0 0 | 2.33/0.85 \ / 2.33/0.85 b is interpreted by 2.33/0.85 / \ 2.33/0.85 | 1 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 1 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 1 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 1 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 1 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 \ / 2.33/0.85 c is interpreted by 2.33/0.85 / \ 2.33/0.85 | 1 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 1 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 1 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 | 0 0 0 0 0 0 0 0 0 | 2.33/0.85 \ / 2.33/0.85 2.33/0.85 Remains to prove termination of the 0-rule system 2.33/0.85 { } 2.33/0.85 2.33/0.85 2.33/0.85 The system is trivially terminating. 2.64/0.87 EOF