0.00/0.52 YES 0.00/0.57 0.00/0.57 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 9 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 10 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 11 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 11 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 9 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 8 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 7-rule system 0.00/0.57 { 0 4 3 3 4 4 1 -> 4 4 2 5 0 2 2 , 0.00/0.57 1 2 2 1 5 2 1 2 1 -> 1 2 2 2 0 2 4 4 3 , 0.00/0.57 4 5 1 3 2 2 5 4 3 5 4 -> 4 0 1 1 5 3 5 4 2 2 4 , 0.00/0.57 5 1 0 5 2 2 2 3 3 2 5 1 5 1 -> 5 4 0 1 4 3 2 2 3 3 3 5 5 1 , 0.00/0.57 3 2 1 2 4 2 1 1 3 3 3 5 2 2 0 4 4 -> 3 2 3 1 0 2 0 2 4 5 5 4 1 0 0 2 5 0 , 0.00/0.57 4 5 2 3 5 4 5 0 5 1 2 3 0 1 1 0 3 5 0 3 0 -> 4 4 3 1 4 4 0 5 3 5 2 1 4 2 4 1 0 2 4 5 0 , 0.00/0.57 5 1 4 0 0 3 4 2 3 0 3 5 4 0 4 2 4 0 0 5 0 -> 5 0 3 2 2 0 4 1 1 5 3 0 1 5 0 1 3 2 2 3 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 3 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 10 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 8 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 11 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 12 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 20 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 5-rule system 0.00/0.57 { 0 4 3 3 4 4 1 -> 4 4 2 5 0 2 2 , 0.00/0.57 5 1 0 5 2 2 2 3 3 2 5 1 5 1 -> 5 4 0 1 4 3 2 2 3 3 3 5 5 1 , 0.00/0.57 3 2 1 2 4 2 1 1 3 3 3 5 2 2 0 4 4 -> 3 2 3 1 0 2 0 2 4 5 5 4 1 0 0 2 5 0 , 0.00/0.57 4 5 2 3 5 4 5 0 5 1 2 3 0 1 1 0 3 5 0 3 0 -> 4 4 3 1 4 4 0 5 3 5 2 1 4 2 4 1 0 2 4 5 0 , 0.00/0.57 5 1 4 0 0 3 4 2 3 0 3 5 4 0 4 2 4 0 0 5 0 -> 5 0 3 2 2 0 4 1 1 5 3 0 1 5 0 1 3 2 2 3 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 15: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0.00/0.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 4-rule system 0.00/0.57 { 0 4 3 3 4 4 1 -> 4 4 2 5 0 2 2 , 0.00/0.57 3 2 1 2 4 2 1 1 3 3 3 5 2 2 0 4 4 -> 3 2 3 1 0 2 0 2 4 5 5 4 1 0 0 2 5 0 , 0.00/0.57 4 5 2 3 5 4 5 0 5 1 2 3 0 1 1 0 3 5 0 3 0 -> 4 4 3 1 4 4 0 5 3 5 2 1 4 2 4 1 0 2 4 5 0 , 0.00/0.57 5 1 4 0 0 3 4 2 3 0 3 5 4 0 4 2 4 0 0 5 0 -> 5 0 3 2 2 0 4 1 1 5 3 0 1 5 0 1 3 2 2 3 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 2 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 4 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 1-rule system 0.00/0.57 { 5 1 4 0 0 3 4 2 3 0 3 5 4 0 4 2 4 0 0 5 0 -> 5 0 3 2 2 0 4 1 1 5 3 0 1 5 0 1 3 2 2 3 } 0.00/0.57 0.00/0.57 0.00/0.57 The system was filtered by the following matrix interpretation 0.00/0.57 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.57 0.00/0.57 0 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 1 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 1 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 2 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 3 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 4 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 5 is interpreted by 0.00/0.57 / \ 0.00/0.57 | 1 0 | 0.00/0.57 | 0 1 | 0.00/0.57 \ / 0.00/0.57 0.00/0.57 Remains to prove termination of the 0-rule system 0.00/0.57 { } 0.00/0.57 0.00/0.57 0.00/0.57 The system is trivially terminating. 1.53/0.60 EOF