5.03/1.47 YES 5.63/1.65 5.63/1.65 5.63/1.65 The system was filtered by the following matrix interpretation 5.63/1.65 of type E_J with J = {1,...,2} and dimension 2: 5.63/1.65 5.63/1.65 0 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 1 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 2 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 3 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 4 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 5 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 1 | 5.63/1.65 | 0 1 | 5.63/1.65 \ / 5.63/1.65 5.63/1.65 Remains to prove termination of the 24-rule system 5.63/1.65 { 0 1 2 2 3 -> 0 4 1 4 3 , 5.63/1.65 1 2 3 5 3 0 -> 1 1 4 3 5 1 , 5.63/1.65 2 1 3 5 0 0 -> 4 4 2 4 5 0 , 5.63/1.65 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.65 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.65 1 2 5 5 5 2 5 3 5 -> 4 5 3 2 5 1 3 2 5 , 5.63/1.65 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.65 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.65 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.65 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.65 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.65 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.65 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.65 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.65 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.65 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.65 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.65 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.65 5 4 5 3 0 3 3 3 1 2 0 0 2 3 3 2 0 -> 5 2 0 1 4 2 4 1 2 0 0 4 2 3 1 2 2 , 5.63/1.65 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.65 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.65 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.65 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.65 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.65 5.63/1.65 5.63/1.65 The system was filtered by the following matrix interpretation 5.63/1.65 of type E_J with J = {1,...,2} and dimension 6: 5.63/1.65 5.63/1.65 0 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 1 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 1 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 1 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 2 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 1 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 1 0 | 5.63/1.65 | 0 0 0 0 0 1 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 3 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 4 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5.63/1.65 Remains to prove termination of the 23-rule system 5.63/1.65 { 1 2 3 5 3 0 -> 1 1 4 3 5 1 , 5.63/1.65 2 1 3 5 0 0 -> 4 4 2 4 5 0 , 5.63/1.65 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.65 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.65 1 2 5 5 5 2 5 3 5 -> 4 5 3 2 5 1 3 2 5 , 5.63/1.65 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.65 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.65 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.65 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.65 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.65 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.65 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.65 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.65 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.65 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.65 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.65 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.65 5 4 5 3 0 3 3 3 1 2 0 0 2 3 3 2 0 -> 5 2 0 1 4 2 4 1 2 0 0 4 2 3 1 2 2 , 5.63/1.65 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.65 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.65 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.65 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.65 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.65 5.63/1.65 5.63/1.65 The system was filtered by the following matrix interpretation 5.63/1.65 of type E_J with J = {1,...,2} and dimension 7: 5.63/1.65 5.63/1.65 0 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 1 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 1 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 1 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 2 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 1 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 3 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 1 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 1 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 4 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 1 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5.63/1.65 Remains to prove termination of the 22-rule system 5.63/1.65 { 2 1 3 5 0 0 -> 4 4 2 4 5 0 , 5.63/1.65 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.65 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.65 1 2 5 5 5 2 5 3 5 -> 4 5 3 2 5 1 3 2 5 , 5.63/1.65 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.65 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.65 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.65 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.65 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.65 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.65 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.65 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.65 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.65 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.65 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.65 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.65 5 4 5 3 0 3 3 3 1 2 0 0 2 3 3 2 0 -> 5 2 0 1 4 2 4 1 2 0 0 4 2 3 1 2 2 , 5.63/1.65 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.65 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.65 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.65 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.65 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.65 5.63/1.65 5.63/1.65 The system was filtered by the following matrix interpretation 5.63/1.65 of type E_J with J = {1,...,2} and dimension 10: 5.63/1.65 5.63/1.65 0 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 1 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 1 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 2 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 1 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 1 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 3 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 1 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 4 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 1 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 1 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 5.63/1.65 Remains to prove termination of the 21-rule system 5.63/1.65 { 2 1 3 5 0 0 -> 4 4 2 4 5 0 , 5.63/1.65 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.65 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.65 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.65 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.65 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.65 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.65 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.65 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.65 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.65 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.65 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.65 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.65 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.65 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.65 5 4 5 3 0 3 3 3 1 2 0 0 2 3 3 2 0 -> 5 2 0 1 4 2 4 1 2 0 0 4 2 3 1 2 2 , 5.63/1.65 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.65 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.65 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.65 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.65 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.65 5.63/1.65 5.63/1.65 The system was filtered by the following matrix interpretation 5.63/1.65 of type E_J with J = {1,...,2} and dimension 18: 5.63/1.65 5.63/1.65 0 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 1 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 2 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 \ / 5.63/1.65 3 is interpreted by 5.63/1.65 / \ 5.63/1.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 5.63/1.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 20-rule system 5.63/1.66 { 2 1 3 5 0 0 -> 4 4 2 4 5 0 , 5.63/1.66 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.66 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.66 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.66 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.66 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.66 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.66 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.66 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.66 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.66 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.66 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.66 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.66 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.66 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.66 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.66 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.66 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 7: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 1 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 1 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 1 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 1 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 1 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 19-rule system 5.63/1.66 { 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.66 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.66 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.66 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.66 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.66 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.66 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.66 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.66 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.66 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.66 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.66 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.66 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.66 0 4 4 1 2 0 2 2 0 3 3 5 2 2 3 2 3 1 -> 4 4 0 4 0 0 0 1 3 0 3 3 4 4 4 0 2 4 , 5.63/1.66 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.66 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.66 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 19: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 18-rule system 5.63/1.66 { 4 3 5 1 5 1 -> 4 0 2 4 5 4 , 5.63/1.66 0 0 1 2 2 0 4 2 -> 2 4 0 0 4 4 3 0 , 5.63/1.66 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 1 3 1 5 0 4 2 2 0 5 5 -> 4 4 1 2 2 5 2 2 2 0 5 , 5.63/1.66 2 0 1 3 1 2 5 4 3 4 4 -> 2 1 2 4 4 2 3 4 2 4 4 , 5.63/1.66 4 1 0 5 3 4 3 5 4 1 1 -> 4 4 4 3 3 2 0 2 4 5 3 , 5.63/1.66 5 3 3 5 3 4 0 5 0 2 4 0 -> 5 5 3 2 5 4 4 2 1 1 1 3 , 5.63/1.66 0 1 3 1 5 2 2 4 4 5 5 2 4 -> 0 3 4 0 0 4 0 2 1 3 4 3 4 , 5.63/1.66 1 3 5 3 2 3 4 1 5 1 4 1 0 3 -> 1 1 1 0 0 2 0 3 4 2 1 3 0 3 , 5.63/1.66 0 1 4 2 0 5 1 5 2 4 0 0 3 4 4 2 -> 4 1 5 4 1 0 2 0 3 4 4 1 1 3 4 2 , 5.63/1.66 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.66 4 3 0 3 2 4 5 0 2 5 0 0 4 2 3 1 -> 4 4 4 2 3 3 4 5 0 5 2 2 1 2 0 3 , 5.63/1.66 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.66 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.66 0 4 2 5 2 1 0 1 0 1 3 3 5 1 1 2 5 0 2 -> 2 4 1 3 3 5 0 2 0 3 3 5 3 0 1 4 5 0 2 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 , 5.63/1.66 3 4 4 4 2 1 5 3 1 4 1 5 3 5 3 3 0 2 1 3 1 -> 3 4 3 0 3 3 4 4 3 4 0 1 4 0 1 5 1 5 4 2 3 , 5.63/1.66 5 2 1 2 2 4 5 2 2 3 3 3 1 0 3 4 1 0 0 3 2 -> 5 2 3 2 4 0 2 2 3 1 4 3 2 1 2 1 2 5 5 2 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 2: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 9 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 5 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 2 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 4 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 2 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 12 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 5-rule system 5.63/1.66 { 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 2 2 5 1 3 4 5 3 1 4 1 2 3 4 2 2 -> 2 5 2 0 4 2 4 4 2 3 4 0 0 4 3 2 , 5.63/1.66 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.66 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 17: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 4-rule system 5.63/1.66 { 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 1 3 0 4 0 4 2 3 0 2 3 5 0 5 3 5 3 -> 1 0 3 0 1 4 5 1 5 3 5 2 3 2 0 1 3 , 5.63/1.66 3 5 1 3 0 0 3 3 3 3 1 0 3 0 5 2 0 -> 3 5 3 4 3 5 0 5 1 2 0 4 1 5 3 2 0 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 2: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 2 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 1 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 2-rule system 5.63/1.66 { 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 , 5.63/1.66 1 0 0 4 4 4 1 3 2 4 5 1 2 5 3 2 3 2 2 5 2 -> 1 4 5 1 3 5 4 2 4 4 4 5 0 2 2 1 1 1 1 3 4 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 2: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 1 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 1-rule system 5.63/1.66 { 4 1 5 1 2 4 1 4 1 -> 4 2 3 1 3 0 1 3 1 } 5.63/1.66 5.63/1.66 5.63/1.66 The system was filtered by the following matrix interpretation 5.63/1.66 of type E_J with J = {1,...,2} and dimension 2: 5.63/1.66 5.63/1.66 0 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 1 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 1 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 2 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 3 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 4 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5 is interpreted by 5.63/1.66 / \ 5.63/1.66 | 1 0 | 5.63/1.66 | 0 1 | 5.63/1.66 \ / 5.63/1.66 5.63/1.66 Remains to prove termination of the 0-rule system 5.63/1.66 { } 5.63/1.66 5.63/1.66 5.63/1.66 The system is trivially terminating. 7.40/2.12 EOF