0.00/0.45 YES 0.00/0.49 0.00/0.49 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.49 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 1 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 1 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 1 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 1 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 1 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 9-rule system 0.00/0.49 { 4 2 4 -> 2 0 0 5 3 3 5 2 0 4 , 0.00/0.49 4 4 2 4 2 -> 2 0 5 2 1 4 0 2 0 1 , 0.00/0.49 0 5 4 2 4 3 -> 5 1 5 5 3 5 3 0 0 0 , 0.00/0.49 1 1 4 5 3 3 -> 1 3 1 1 3 0 1 2 2 1 , 0.00/0.49 3 1 4 3 1 2 -> 0 0 1 1 4 2 3 0 0 3 , 0.00/0.49 3 2 4 2 4 1 -> 0 2 1 1 1 5 3 1 3 3 , 0.00/0.49 3 3 0 4 1 2 -> 3 5 1 2 0 2 0 5 3 1 , 0.00/0.49 4 1 4 5 0 5 4 -> 4 1 5 3 1 0 5 3 1 0 , 0.00/0.49 4 4 0 5 4 2 2 -> 4 0 4 3 4 4 4 5 4 1 } 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.49 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 1 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 | 0.00/0.49 | 0 1 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 | 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 5-rule system 0.00/0.49 { 1 1 4 5 3 3 -> 1 3 1 1 3 0 1 2 2 1 , 0.00/0.49 3 1 4 3 1 2 -> 0 0 1 1 4 2 3 0 0 3 , 0.00/0.49 3 3 0 4 1 2 -> 3 5 1 2 0 2 0 5 3 1 , 0.00/0.49 4 1 4 5 0 5 4 -> 4 1 5 3 1 0 5 3 1 0 , 0.00/0.49 4 4 0 5 4 2 2 -> 4 0 4 3 4 4 4 5 4 1 } 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.49 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 1 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 1 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 1 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 1 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 1 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 4-rule system 0.00/0.49 { 1 1 4 5 3 3 -> 1 3 1 1 3 0 1 2 2 1 , 0.00/0.49 3 1 4 3 1 2 -> 0 0 1 1 4 2 3 0 0 3 , 0.00/0.49 3 3 0 4 1 2 -> 3 5 1 2 0 2 0 5 3 1 , 0.00/0.49 4 1 4 5 0 5 4 -> 4 1 5 3 1 0 5 3 1 0 } 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.49 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 1 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 1-rule system 0.00/0.49 { 3 1 4 3 1 2 -> 0 0 1 1 4 2 3 0 0 3 } 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.49 0.00/0.49 4 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 1 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 2 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 5 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 3 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 1 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 1 is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 | 0.00/0.49 | 0 0 0 1 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 1 | 0.00/0.49 | 0 0 0 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 0-rule system 0.00/0.49 { } 0.00/0.49 0.00/0.49 0.00/0.49 The system is trivially terminating. 0.00/0.52 EOF