16.84/4.60 YES 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 8: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 42-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 3 4 2 0 -> 3 3 2 4 0 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 3 2 0 -> 3 1 3 0 5 2 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 4 2 0 -> 2 1 3 3 0 4 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 0 2 0 -> 3 0 0 2 1 4 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 4 5 5 5 0 -> 5 5 1 5 0 4 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 8: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 41-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 3 2 0 -> 3 1 3 0 5 2 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 4 2 0 -> 2 1 3 3 0 4 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 0 2 0 -> 3 0 0 2 1 4 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 4 5 5 5 0 -> 5 5 1 5 0 4 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 9: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 40-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 4 2 0 -> 2 1 3 3 0 4 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 0 2 0 -> 3 0 0 2 1 4 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 4 5 5 5 0 -> 5 5 1 5 0 4 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 9: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 39-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 0 2 0 -> 3 0 0 2 1 4 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 4 5 5 5 0 -> 5 5 1 5 0 4 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 9: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 38-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 4 5 5 5 0 -> 5 5 1 5 0 4 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 9: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 37-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 4 0 1 0 -> 1 3 0 4 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 8: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 1 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 36-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 0 5 2 -> 2 4 1 3 5 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 10: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 1 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 35-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 3 1 2 2 -> 3 5 2 2 1 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 9: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 34-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 3 1 0 -> 0 1 3 5 0 , 17.48/4.75 3 1 0 2 -> 1 3 5 0 2 , 17.48/4.75 3 1 0 2 -> 3 2 1 3 0 , 17.48/4.75 3 1 0 5 -> 1 3 5 3 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 5 3 1 0 -> 0 1 3 5 5 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 3 1 0 0 -> 5 1 3 3 0 0 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 3 1 0 2 -> 4 2 1 3 0 1 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 8: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 27-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 3 4 2 3 2 -> 3 3 2 5 4 2 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 26-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 4 1 2 -> 1 4 3 2 2 1 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 25-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 4 5 5 1 2 -> 5 4 5 2 1 1 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 24-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 1 0 5 -> 1 3 3 5 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 , 17.48/4.75 5 4 1 0 5 -> 4 1 3 5 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 22-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 3 1 5 0 2 -> 2 5 1 3 0 5 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 21-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 2 5 5 0 -> 0 0 2 5 1 5 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 0 5 3 2 0 -> 0 0 2 1 3 5 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 , 17.48/4.75 5 1 5 2 0 -> 2 1 3 5 0 5 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 1 0 1 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 1 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 18-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 5 2 5 0 -> 5 2 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 1 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 17-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 , 17.48/4.75 5 1 1 0 4 -> 5 1 1 4 3 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 10: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 16-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 3 1 3 0 2 -> 2 1 3 3 3 0 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 15-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 , 17.48/4.75 5 1 0 1 2 -> 2 1 1 3 5 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 14-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 0 5 -> 0 1 3 5 0 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 1 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 3 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 4 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 5 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 17.48/4.75 Remains to prove termination of the 13-rule system 17.48/4.75 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.75 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.75 0 1 5 0 -> 0 1 3 5 0 , 17.48/4.75 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.75 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.75 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.75 0 1 5 0 4 -> 0 4 1 3 5 0 , 17.48/4.75 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.75 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.75 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.75 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.75 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.75 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.75 17.48/4.75 17.48/4.75 The system was filtered by the following matrix interpretation 17.48/4.75 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.75 17.48/4.75 0 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 1 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 \ / 17.48/4.75 1 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 1 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 \ / 17.48/4.75 2 is interpreted by 17.48/4.75 / \ 17.48/4.75 | 1 0 0 0 0 | 17.48/4.75 | 0 1 0 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.75 | 0 0 1 0 0 | 17.48/4.75 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 11-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 1 2 0 5 -> 0 3 0 5 1 2 , 17.48/4.76 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.76 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.76 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.76 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 1 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 10-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 1 3 1 2 -> 3 0 2 2 1 1 , 17.48/4.76 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.76 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.76 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 9-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 1 5 3 5 -> 0 1 3 5 3 5 , 17.48/4.76 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.76 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 8-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 , 17.48/4.76 0 3 1 5 0 -> 1 3 0 5 3 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 7-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 0 3 4 -> 0 4 5 2 3 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 1 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 1 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 6-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 3 1 5 -> 0 1 3 5 5 2 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 1 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 5-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 4 1 2 -> 0 2 1 1 4 2 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 4-rule system 17.48/4.76 { 0 0 1 2 -> 0 2 1 3 3 0 , 17.48/4.76 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 3-rule system 17.48/4.76 { 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 , 17.48/4.76 0 2 5 0 2 -> 0 0 3 5 2 2 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 2-rule system 17.48/4.76 { 0 1 0 4 -> 0 1 3 0 4 , 17.48/4.76 0 0 4 1 0 -> 0 4 1 3 0 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 5: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 1 1 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 1-rule system 17.48/4.76 { 0 0 4 1 0 -> 0 4 1 3 0 0 } 17.48/4.76 17.48/4.76 17.48/4.76 The system was filtered by the following matrix interpretation 17.48/4.76 of type E_J with J = {1,...,2} and dimension 6: 17.48/4.76 17.48/4.76 0 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 1 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 1 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 1 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 1 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 2 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 3 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 4 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 1 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 5 is interpreted by 17.48/4.76 / \ 17.48/4.76 | 1 0 0 0 0 0 | 17.48/4.76 | 0 1 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 | 0 0 0 0 0 0 | 17.48/4.76 \ / 17.48/4.76 17.48/4.76 Remains to prove termination of the 0-rule system 17.48/4.76 { } 17.48/4.76 17.48/4.76 17.48/4.76 The system is trivially terminating. 17.48/4.79 EOF