0.00/0.32 YES 0.00/0.35 0.00/0.35 0.00/0.35 The system was filtered by the following matrix interpretation 0.00/0.35 of type E_J with J = {1,...,2} and dimension 6: 0.00/0.35 0.00/0.35 0 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 1 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 1 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 2 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 1 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 3 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 1 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 4 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 5 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 0.00/0.35 Remains to prove termination of the 4-rule system 0.00/0.35 { 0 5 1 2 3 4 -> 0 1 2 5 3 4 , 0.00/0.35 0 5 1 2 3 4 -> 0 5 2 1 3 4 , 0.00/0.35 0 5 1 2 3 4 -> 5 0 2 3 1 4 , 0.00/0.35 0 5 2 3 1 4 -> 0 1 5 2 3 4 } 0.00/0.35 0.00/0.35 0.00/0.35 The system was filtered by the following matrix interpretation 0.00/0.35 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.35 0.00/0.35 0 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 1 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 1 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 2 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 1 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 3 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 1 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 4 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 5 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 1 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 0.00/0.35 Remains to prove termination of the 1-rule system 0.00/0.35 { 0 5 2 3 1 4 -> 0 1 5 2 3 4 } 0.00/0.35 0.00/0.35 0.00/0.35 The system was filtered by the following matrix interpretation 0.00/0.35 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.35 0.00/0.35 0 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 1 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 1 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 2 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 1 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 3 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 1 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 4 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 5 is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 0 | 0.00/0.35 | 0 0 0 1 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 0.00/0.35 Remains to prove termination of the 0-rule system 0.00/0.35 { } 0.00/0.35 0.00/0.35 0.00/0.35 The system is trivially terminating. 0.00/0.38 EOF