0.00/0.44 YES 0.00/0.46 0.00/0.46 0.00/0.46 The system was filtered by the following matrix interpretation 0.00/0.46 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.46 0.00/0.46 a is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 1 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 2 | 0.00/0.46 \ / 0.00/0.46 b is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 1 1 | 0.00/0.46 \ / 0.00/0.46 c is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 0 | 0.00/0.46 \ / 0.00/0.46 0.00/0.46 Remains to prove termination of the 2-rule system 0.00/0.46 { b c -> c b b , 0.00/0.46 c a -> a c c } 0.00/0.46 0.00/0.46 0.00/0.46 The system was filtered by the following matrix interpretation 0.00/0.46 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.46 0.00/0.46 a is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 0 | 0.00/0.46 \ / 0.00/0.46 b is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 1 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 1 | 0.00/0.46 \ / 0.00/0.46 c is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 1 2 | 0.00/0.46 \ / 0.00/0.46 0.00/0.46 Remains to prove termination of the 1-rule system 0.00/0.46 { c a -> a c c } 0.00/0.46 0.00/0.46 0.00/0.46 The system was filtered by the following matrix interpretation 0.00/0.46 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.46 0.00/0.46 a is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 1 2 | 0.00/0.46 \ / 0.00/0.46 b is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 0 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 0 | 0.00/0.46 \ / 0.00/0.46 c is interpreted by 0.00/0.46 / \ 0.00/0.46 | 1 0 1 | 0.00/0.46 | 0 1 0 | 0.00/0.46 | 0 0 1 | 0.00/0.46 \ / 0.00/0.46 0.00/0.46 Remains to prove termination of the 0-rule system 0.00/0.46 { } 0.00/0.46 0.00/0.46 0.00/0.46 The system is trivially terminating. 2.02/0.75 EOF