10.85/3.00 YES 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 8: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 31-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 4 5 3 -> 4 0 3 2 3 1 1 5 0 5 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 3 5 0 5 -> 3 2 1 4 3 3 2 0 1 5 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 3 4 5 0 0 -> 4 3 3 1 2 5 0 4 3 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 0 4 5 3 3 -> 4 2 0 5 4 2 1 0 0 3 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 4 3 5 0 5 5 -> 4 3 2 5 2 5 2 1 3 5 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 6: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 30-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 4 5 3 -> 4 0 3 2 3 1 1 5 0 5 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 3 5 0 5 -> 3 2 1 4 3 3 2 0 1 5 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 0 4 5 3 3 -> 4 2 0 5 4 2 1 0 0 3 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 4 3 5 0 5 5 -> 4 3 2 5 2 5 2 1 3 5 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 7: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 29-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 4 5 3 -> 4 0 3 2 3 1 1 5 0 5 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 3 5 0 5 -> 3 2 1 4 3 3 2 0 1 5 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 0 4 5 3 3 -> 4 2 0 5 4 2 1 0 0 3 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 5: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 28-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 4 5 3 -> 4 0 3 2 3 1 1 5 0 5 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 0 4 5 3 3 -> 4 2 0 5 4 2 1 0 0 3 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 10: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 27-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 4 5 3 -> 4 0 3 2 3 1 1 5 0 5 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 8: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 26-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 4 5 2 0 -> 0 2 2 5 3 3 2 2 2 0 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 7: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 25-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 5 1 0 5 -> 1 2 0 2 5 4 3 1 1 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 7: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 24-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 , 12.32/3.36 5 4 5 5 3 3 4 -> 1 5 0 2 3 4 1 3 0 0 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 8: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 23-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 0 5 3 5 3 0 -> 0 2 5 0 2 4 3 1 0 0 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 8: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 22-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 0 5 0 5 5 -> 1 1 3 4 3 0 2 4 5 2 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 7: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 21-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 0 5 5 1 1 3 -> 0 5 0 3 2 1 4 1 4 2 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 10: 12.32/3.36 12.32/3.36 3 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 4 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 1 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 5 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 1 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 1 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 1 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 2 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 1 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 1 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 1 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 0 is interpreted by 12.32/3.36 / \ 12.32/3.36 | 1 0 1 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 1 0 | 12.32/3.36 | 0 0 0 0 0 0 0 0 0 0 | 12.32/3.36 | 0 1 0 0 0 0 0 0 0 0 | 12.32/3.36 \ / 12.32/3.36 12.32/3.36 Remains to prove termination of the 20-rule system 12.32/3.36 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.36 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.36 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.36 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.36 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.36 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.36 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.36 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.36 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.36 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.36 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.36 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.36 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.36 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.36 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.36 0 5 5 5 2 3 3 -> 1 0 1 3 0 5 4 2 4 2 , 12.32/3.36 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.36 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.36 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.36 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.36 12.32/3.36 12.32/3.36 The system was filtered by the following matrix interpretation 12.32/3.36 of type E_J with J = {1,...,2} and dimension 11: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 1 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 1 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 19-rule system 12.32/3.37 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.37 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 0 0 5 2 3 4 -> 2 4 1 4 5 3 2 1 0 4 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 14: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 18-rule system 12.32/3.37 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.37 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 2 3 5 2 -> 5 2 2 1 2 0 5 2 2 2 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 6: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 17-rule system 12.32/3.37 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.37 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 0 5 5 1 0 -> 0 2 4 5 3 1 5 1 4 0 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 6: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 1 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 | 12.32/3.37 | 0 1 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 16-rule system 12.32/3.37 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.37 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 4 0 5 5 -> 3 3 2 2 2 0 3 5 3 5 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 3 4 0 5 0 1 -> 3 2 1 3 1 0 0 4 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 0 5 0 4 0 1 -> 5 1 4 4 2 0 3 3 4 1 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 4 0 5 0 5 4 5 -> 1 2 1 3 2 2 5 3 5 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 5: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 12-rule system 12.32/3.37 { 3 4 5 -> 3 2 3 2 1 5 3 5 2 2 , 12.32/3.37 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 0 5 4 3 4 5 -> 1 5 0 2 2 3 4 3 2 5 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 4: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 1 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 | 12.32/3.37 | 0 1 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 | 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 10-rule system 12.32/3.37 { 0 5 4 1 -> 0 1 4 1 5 1 2 2 0 1 , 12.32/3.37 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 5: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 | 12.32/3.37 | 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 9-rule system 12.32/3.37 { 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 0 1 2 5 2 3 5 -> 4 4 3 1 4 0 5 1 5 5 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 8: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 1 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 8-rule system 12.32/3.37 { 5 5 3 4 -> 1 1 4 4 1 4 3 4 2 2 , 12.32/3.37 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 1 2 3 5 4 4 -> 4 0 2 0 4 0 3 2 2 4 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 5 5 0 1 0 0 -> 5 0 4 2 4 4 2 2 4 0 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 , 12.32/3.37 5 3 5 5 5 4 1 -> 0 1 2 0 4 3 2 5 4 1 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 2: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 1 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 1 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 4-rule system 12.32/3.37 { 2 3 5 1 0 -> 2 1 2 5 1 1 5 4 2 0 , 12.32/3.37 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 12: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 1 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 1 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 1 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 1 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 1 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 1 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 1 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 1 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 1 1 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 3-rule system 12.32/3.37 { 5 4 5 4 1 -> 1 5 3 4 1 0 4 2 0 1 , 12.32/3.37 4 0 4 5 4 1 -> 4 4 3 1 1 1 4 0 1 1 , 12.32/3.37 1 5 5 2 2 5 5 -> 1 0 4 2 5 3 1 5 1 5 } 12.32/3.37 12.32/3.37 12.32/3.37 The system was filtered by the following matrix interpretation 12.32/3.37 of type E_J with J = {1,...,2} and dimension 2: 12.32/3.37 12.32/3.37 3 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 4 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 5 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 1 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 2 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 1 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 0 is interpreted by 12.32/3.37 / \ 12.32/3.37 | 1 0 | 12.32/3.37 | 0 1 | 12.32/3.37 \ / 12.32/3.37 12.32/3.37 Remains to prove termination of the 0-rule system 12.32/3.37 { } 12.32/3.37 12.32/3.37 12.32/3.37 The system is trivially terminating. 13.86/3.84 EOF