1.42/0.57 YES 1.69/0.63 1.69/0.63 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 2: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 18-rule system 1.69/0.63 { 0 1 2 3 -> 0 2 2 3 , 1.69/0.63 1 1 4 4 5 -> 5 1 0 0 5 , 1.69/0.63 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 5 1 1 5 3 -> 5 1 4 5 3 , 1.69/0.63 0 2 5 1 1 4 -> 0 3 2 2 4 5 , 1.69/0.63 1 2 1 4 0 3 -> 4 2 5 4 5 3 , 1.69/0.63 2 2 1 5 4 0 -> 2 3 5 4 0 3 , 1.69/0.63 4 0 2 3 1 4 4 -> 4 1 3 0 5 0 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 4 5 3 4 1 1 0 5 2 -> 4 4 3 1 3 2 0 5 2 , 1.69/0.63 3 3 4 1 0 4 5 1 5 2 -> 3 3 4 1 5 0 3 0 2 4 , 1.69/0.63 1 2 2 1 2 3 2 4 4 0 0 3 2 -> 4 4 4 3 2 0 1 3 1 2 2 4 5 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 1 5 1 1 3 0 3 3 3 3 1 1 5 1 5 2 5 2 -> 3 5 4 2 0 5 1 3 4 1 1 2 5 2 4 1 5 2 , 1.69/0.63 2 5 5 1 2 3 5 0 3 0 0 3 3 1 0 1 3 2 -> 2 1 5 0 0 1 5 2 2 2 3 1 0 5 0 4 3 3 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 , 1.69/0.63 3 5 5 2 0 4 4 5 5 0 3 5 2 1 2 1 0 2 2 3 -> 3 1 3 3 0 5 4 2 4 1 2 3 5 0 3 4 5 2 4 3 , 1.69/0.63 4 5 1 4 5 3 1 5 5 3 5 0 2 1 2 4 4 5 1 0 4 -> 4 4 0 2 1 5 2 0 4 5 2 2 3 5 5 2 2 0 3 5 4 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 2: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 8-rule system 1.69/0.63 { 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 4 0 2 3 1 4 4 -> 4 1 3 0 5 0 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 1 2 2 1 2 3 2 4 4 0 0 3 2 -> 4 4 4 3 2 0 1 3 1 2 2 4 5 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 2 5 5 1 2 3 5 0 3 0 0 3 3 1 0 1 3 2 -> 2 1 5 0 0 1 5 2 2 2 3 1 0 5 0 4 3 3 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 , 1.69/0.63 3 5 5 2 0 4 4 5 5 0 3 5 2 1 2 1 0 2 2 3 -> 3 1 3 3 0 5 4 2 4 1 2 3 5 0 3 4 5 2 4 3 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 14: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 7-rule system 1.69/0.63 { 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 4 0 2 3 1 4 4 -> 4 1 3 0 5 0 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 2 5 5 1 2 3 5 0 3 0 0 3 3 1 0 1 3 2 -> 2 1 5 0 0 1 5 2 2 2 3 1 0 5 0 4 3 3 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 , 1.69/0.63 3 5 5 2 0 4 4 5 5 0 3 5 2 1 2 1 0 2 2 3 -> 3 1 3 3 0 5 4 2 4 1 2 3 5 0 3 4 5 2 4 3 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 8: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 1 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 1 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 1 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 1 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 1 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 1 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 6-rule system 1.69/0.63 { 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 2 5 5 1 2 3 5 0 3 0 0 3 3 1 0 1 3 2 -> 2 1 5 0 0 1 5 2 2 2 3 1 0 5 0 4 3 3 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 , 1.69/0.63 3 5 5 2 0 4 4 5 5 0 3 5 2 1 2 1 0 2 2 3 -> 3 1 3 3 0 5 4 2 4 1 2 3 5 0 3 4 5 2 4 3 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 19: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 5-rule system 1.69/0.63 { 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 , 1.69/0.63 3 5 5 2 0 4 4 5 5 0 3 5 2 1 2 1 0 2 2 3 -> 3 1 3 3 0 5 4 2 4 1 2 3 5 0 3 4 5 2 4 3 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 2: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 3 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 2 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 4-rule system 1.69/0.63 { 2 3 3 2 5 -> 3 5 4 5 5 , 1.69/0.63 0 2 2 2 3 4 3 3 3 -> 0 5 4 0 5 3 5 5 3 , 1.69/0.63 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 , 1.69/0.63 3 2 3 4 1 2 5 5 0 1 2 3 4 0 5 1 4 4 5 4 -> 3 2 0 1 5 0 1 5 5 1 2 3 0 2 4 2 5 2 2 4 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 2: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 1-rule system 1.69/0.63 { 2 2 3 3 0 2 0 2 5 0 5 5 5 1 0 3 1 -> 5 5 5 2 0 2 5 0 0 4 3 2 1 4 3 3 1 } 1.69/0.63 1.69/0.63 1.69/0.63 The system was filtered by the following matrix interpretation 1.69/0.63 of type E_J with J = {1,...,2} and dimension 2: 1.69/0.63 1.69/0.63 0 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 1 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 2 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 3 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 4 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 5 is interpreted by 1.69/0.63 / \ 1.69/0.63 | 1 0 | 1.69/0.63 | 0 1 | 1.69/0.63 \ / 1.69/0.63 1.69/0.63 Remains to prove termination of the 0-rule system 1.69/0.63 { } 1.69/0.63 1.69/0.63 1.69/0.63 The system is trivially terminating. 1.71/0.66 EOF