0.00/0.49 YES 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 9 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 7 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 8 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 14 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 10 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 7 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 5-rule system 0.00/0.51 { 0 1 1 1 -> 3 1 0 , 0.00/0.51 4 5 1 4 -> 1 5 4 4 , 0.00/0.51 1 3 5 1 0 4 -> 4 0 0 0 1 4 , 0.00/0.51 4 1 4 1 3 0 0 2 1 5 4 1 0 0 -> 2 3 0 2 5 4 4 3 0 4 1 2 0 , 0.00/0.51 1 0 4 2 3 3 5 4 3 5 0 2 0 4 5 0 2 0 2 4 -> 4 5 4 5 4 1 1 2 5 0 4 3 1 5 4 3 1 5 4 0 4 } 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 1 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 1 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 2-rule system 0.00/0.51 { 4 5 1 4 -> 1 5 4 4 , 0.00/0.51 1 0 4 2 3 3 5 4 3 5 0 2 0 4 5 0 2 0 2 4 -> 4 5 4 5 4 1 1 2 5 0 4 3 1 5 4 3 1 5 4 0 4 } 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 1 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 | 0.00/0.51 | 0 1 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 1-rule system 0.00/0.51 { 4 5 1 4 -> 1 5 4 4 } 0.00/0.51 0.00/0.51 0.00/0.51 The system was filtered by the following matrix interpretation 0.00/0.51 of type E_J with J = {1,...,2} and dimension 5: 0.00/0.51 0.00/0.51 0 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 1 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 1 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 2 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 3 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 4 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 1 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 \ / 0.00/0.51 5 is interpreted by 0.00/0.51 / \ 0.00/0.51 | 1 0 0 0 0 | 0.00/0.51 | 0 1 0 0 0 | 0.00/0.51 | 0 0 0 1 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 | 0 0 0 0 0 | 0.00/0.51 \ / 0.00/0.51 0.00/0.51 Remains to prove termination of the 0-rule system 0.00/0.51 { } 0.00/0.51 0.00/0.51 0.00/0.51 The system is trivially terminating. 0.00/0.54 EOF