0.00/0.48 YES 0.00/0.52 0.00/0.52 0.00/0.52 0.00/0.52 0.00/0.52 The system was filtered by the following matrix interpretation 0.00/0.52 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.52 0.00/0.52 0 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 5 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 1 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 3 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 2 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 5 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 3 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 4 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 4 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 3 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 5 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 4 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 0.00/0.52 Remains to prove termination of the 4-rule system 0.00/0.52 { 1 4 2 3 1 4 0 2 1 1 -> 1 1 4 1 0 4 2 3 2 1 , 0.00/0.52 0 5 3 2 4 0 2 1 2 3 3 4 3 3 -> 0 5 4 4 5 3 4 0 1 0 1 3 1 2 3 , 0.00/0.52 4 0 2 2 4 4 1 1 1 1 0 4 1 5 1 2 0 1 -> 4 5 5 2 5 0 2 1 5 2 4 1 1 1 5 3 2 , 0.00/0.52 4 4 4 4 3 1 1 3 3 4 2 2 4 0 3 5 4 2 5 2 3 -> 2 5 5 4 0 1 5 3 3 5 0 1 5 1 5 4 2 4 2 2 } 0.00/0.52 0.00/0.52 0.00/0.52 The system was filtered by the following matrix interpretation 0.00/0.52 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.52 0.00/0.52 0 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 1 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 2 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 1 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 3 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 4 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 1 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 5 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 | 0.00/0.52 | 0 1 | 0.00/0.52 \ / 0.00/0.52 0.00/0.52 Remains to prove termination of the 1-rule system 0.00/0.52 { 1 4 2 3 1 4 0 2 1 1 -> 1 1 4 1 0 4 2 3 2 1 } 0.00/0.52 0.00/0.52 0.00/0.52 The system was filtered by the following matrix interpretation 0.00/0.52 of type E_J with J = {1,...,2} and dimension 11: 0.00/0.52 0.00/0.52 0 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 1 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 1 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 1 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 1 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 1 0 0 0 0 0 0 0 1 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 2 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 1 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 1 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 3 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 1 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 4 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 1 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 1 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 5 is interpreted by 0.00/0.52 / \ 0.00/0.52 | 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 | 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.52 \ / 0.00/0.52 0.00/0.52 Remains to prove termination of the 0-rule system 0.00/0.52 { } 0.00/0.52 0.00/0.52 0.00/0.52 The system is trivially terminating. 0.00/0.55 EOF