0.00/0.28 YES 0.00/0.30 0.00/0.30 0.00/0.30 The system was filtered by the following matrix interpretation 0.00/0.30 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.30 0.00/0.30 0 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 1 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 1 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 4 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 5 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 2 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 0.00/0.30 Remains to prove termination of the 2-rule system 0.00/0.30 { 4 5 4 5 -> 4 4 5 5 , 0.00/0.30 5 5 5 5 5 5 4 4 4 4 4 4 -> 2 } 0.00/0.30 0.00/0.30 0.00/0.30 The system was filtered by the following matrix interpretation 0.00/0.30 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.30 0.00/0.30 0 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 1 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 4 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 1 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 5 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 2 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 | 0.00/0.30 | 0 1 | 0.00/0.30 \ / 0.00/0.30 0.00/0.30 Remains to prove termination of the 1-rule system 0.00/0.30 { 4 5 4 5 -> 4 4 5 5 } 0.00/0.30 0.00/0.30 0.00/0.30 The system was filtered by the following matrix interpretation 0.00/0.30 of type E_J with J = {1,...,2} and dimension 5: 0.00/0.30 0.00/0.30 0 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 0 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 \ / 0.00/0.30 1 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 0 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 \ / 0.00/0.30 4 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 1 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 1 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 \ / 0.00/0.30 5 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 0 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 | 0 0 0 1 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 \ / 0.00/0.30 2 is interpreted by 0.00/0.30 / \ 0.00/0.30 | 1 0 0 0 0 | 0.00/0.30 | 0 1 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 | 0 0 0 0 0 | 0.00/0.30 \ / 0.00/0.30 0.00/0.30 Remains to prove termination of the 0-rule system 0.00/0.30 { } 0.00/0.30 0.00/0.30 0.00/0.30 The system is trivially terminating. 0.00/0.32 EOF