0.00/0.55 YES 0.00/0.56 0.00/0.56 0.00/0.56 0.00/0.56 0.00/0.56 The system was filtered by the following matrix interpretation 0.00/0.56 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.56 0.00/0.56 0 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 1 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 2 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 3 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 4 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 5 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 0.00/0.56 Remains to prove termination of the 10-rule system 0.00/0.56 { 0 1 2 3 -> 4 4 2 3 , 0.00/0.56 2 3 1 5 0 5 -> 2 1 3 5 0 5 , 0.00/0.56 5 1 4 5 1 1 5 -> 1 4 0 2 3 2 5 , 0.00/0.56 3 3 4 3 1 3 0 5 -> 3 5 2 4 5 0 5 2 , 0.00/0.56 3 4 2 0 5 2 3 5 3 -> 3 5 4 4 2 2 0 5 1 , 0.00/0.56 0 1 2 4 3 1 1 4 1 5 0 2 5 3 2 4 3 -> 4 2 2 1 3 1 3 0 4 5 1 2 2 5 5 4 1 , 0.00/0.56 5 3 2 2 5 2 1 3 0 2 4 3 2 5 3 3 0 5 4 -> 1 3 0 3 3 4 5 5 0 5 5 4 0 2 1 1 0 0 2 , 0.00/0.56 4 0 4 0 5 1 0 3 2 5 3 1 3 0 2 5 3 5 0 0 -> 1 5 3 5 2 0 5 4 4 5 0 1 4 4 3 1 3 2 5 1 , 0.00/0.56 5 4 2 1 3 2 5 4 2 2 0 0 5 5 1 0 5 1 3 0 -> 4 4 2 4 0 1 3 2 5 1 3 4 4 0 0 1 1 1 2 0 , 0.00/0.56 3 0 4 5 4 1 4 3 5 5 3 5 4 0 1 4 3 5 0 3 2 -> 1 2 4 1 1 2 5 4 2 4 0 4 2 5 1 4 2 1 3 1 2 } 0.00/0.56 0.00/0.56 0.00/0.56 The system was filtered by the following matrix interpretation 0.00/0.56 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.56 0.00/0.56 0 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 1 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 2 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 3 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 4 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 5 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 0.00/0.56 Remains to prove termination of the 4-rule system 0.00/0.56 { 0 1 2 3 -> 4 4 2 3 , 0.00/0.56 2 3 1 5 0 5 -> 2 1 3 5 0 5 , 0.00/0.56 0 1 2 4 3 1 1 4 1 5 0 2 5 3 2 4 3 -> 4 2 2 1 3 1 3 0 4 5 1 2 2 5 5 4 1 , 0.00/0.56 4 0 4 0 5 1 0 3 2 5 3 1 3 0 2 5 3 5 0 0 -> 1 5 3 5 2 0 5 4 4 5 0 1 4 4 3 1 3 2 5 1 } 0.00/0.56 0.00/0.56 0.00/0.56 The system was filtered by the following matrix interpretation 0.00/0.56 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.56 0.00/0.56 0 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 1 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 1 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 2 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 3 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 4 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 5 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 | 0.00/0.56 | 0 1 | 0.00/0.56 \ / 0.00/0.56 0.00/0.56 Remains to prove termination of the 1-rule system 0.00/0.56 { 2 3 1 5 0 5 -> 2 1 3 5 0 5 } 0.00/0.56 0.00/0.56 0.00/0.56 The system was filtered by the following matrix interpretation 0.00/0.56 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.56 0.00/0.56 0 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 1 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 1 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 1 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 2 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 1 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 3 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 1 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 4 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 5 is interpreted by 0.00/0.56 / \ 0.00/0.56 | 1 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 0 0 0 0 1 0 | 0.00/0.56 | 0 0 0 0 0 0 0 | 0.00/0.56 | 0 1 0 0 0 0 0 | 0.00/0.56 \ / 0.00/0.56 0.00/0.56 Remains to prove termination of the 0-rule system 0.00/0.56 { } 0.00/0.56 0.00/0.56 0.00/0.56 The system is trivially terminating. 1.47/0.60 EOF