11.42/3.17 YES 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 45-rule system 12.00/3.32 { 0 0 1 2 -> 0 2 0 1 1 , 12.00/3.32 0 1 2 2 -> 0 2 2 1 0 , 12.00/3.32 0 1 2 2 -> 1 0 2 2 0 , 12.00/3.32 0 1 2 3 -> 0 2 0 1 3 , 12.00/3.32 0 1 2 3 -> 0 2 3 3 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 0 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 1 , 12.00/3.32 0 3 2 2 -> 3 4 0 2 2 , 12.00/3.32 0 3 2 2 -> 0 2 2 2 2 3 , 12.00/3.32 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 2 5 4 2 -> 4 0 2 2 5 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 0 5 4 2 -> 0 4 0 0 2 5 , 12.00/3.32 0 1 0 1 2 -> 0 2 0 1 4 1 , 12.00/3.32 0 1 2 0 3 -> 0 2 0 4 1 3 , 12.00/3.32 0 1 2 2 2 -> 0 2 2 2 1 2 , 12.00/3.32 0 1 2 3 2 -> 1 3 4 0 2 2 , 12.00/3.32 0 1 3 2 3 -> 0 0 2 3 3 1 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 1 2 2 -> 0 2 0 2 2 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 4 5 2 3 -> 0 2 2 3 4 5 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 0 1 2 -> 0 0 2 0 1 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 0 1 2 2 -> 5 1 0 2 0 2 , 12.00/3.32 5 2 0 1 2 -> 1 5 4 0 2 2 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 44-rule system 12.00/3.32 { 0 0 1 2 -> 0 2 0 1 1 , 12.00/3.32 0 1 2 2 -> 0 2 2 1 0 , 12.00/3.32 0 1 2 2 -> 1 0 2 2 0 , 12.00/3.32 0 1 2 3 -> 0 2 0 1 3 , 12.00/3.32 0 1 2 3 -> 0 2 3 3 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 0 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 1 , 12.00/3.32 0 3 2 2 -> 3 4 0 2 2 , 12.00/3.32 0 3 2 2 -> 0 2 2 2 2 3 , 12.00/3.32 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 2 5 4 2 -> 4 0 2 2 5 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 0 5 4 2 -> 0 4 0 0 2 5 , 12.00/3.32 0 1 0 1 2 -> 0 2 0 1 4 1 , 12.00/3.32 0 1 2 0 3 -> 0 2 0 4 1 3 , 12.00/3.32 0 1 2 2 2 -> 0 2 2 2 1 2 , 12.00/3.32 0 1 2 3 2 -> 1 3 4 0 2 2 , 12.00/3.32 0 1 3 2 3 -> 0 0 2 3 3 1 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 1 2 2 -> 0 2 0 2 2 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 0 1 2 -> 0 0 2 0 1 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 0 1 2 2 -> 5 1 0 2 0 2 , 12.00/3.32 5 2 0 1 2 -> 1 5 4 0 2 2 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 1 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 1 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 43-rule system 12.00/3.32 { 0 0 1 2 -> 0 2 0 1 1 , 12.00/3.32 0 1 2 2 -> 0 2 2 1 0 , 12.00/3.32 0 1 2 2 -> 1 0 2 2 0 , 12.00/3.32 0 1 2 3 -> 0 2 0 1 3 , 12.00/3.32 0 1 2 3 -> 0 2 3 3 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 0 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 , 12.00/3.32 0 2 1 2 -> 0 2 2 2 1 1 , 12.00/3.32 0 3 2 2 -> 3 4 0 2 2 , 12.00/3.32 0 3 2 2 -> 0 2 2 2 2 3 , 12.00/3.32 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 0 5 4 2 -> 0 4 0 0 2 5 , 12.00/3.32 0 1 0 1 2 -> 0 2 0 1 4 1 , 12.00/3.32 0 1 2 0 3 -> 0 2 0 4 1 3 , 12.00/3.32 0 1 2 2 2 -> 0 2 2 2 1 2 , 12.00/3.32 0 1 2 3 2 -> 1 3 4 0 2 2 , 12.00/3.32 0 1 3 2 3 -> 0 0 2 3 3 1 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 1 2 2 -> 0 2 0 2 2 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 0 1 2 -> 0 0 2 0 1 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 0 1 2 2 -> 5 1 0 2 0 2 , 12.00/3.32 5 2 0 1 2 -> 1 5 4 0 2 2 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 1 0 1 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 25-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 0 5 4 2 -> 0 4 0 0 2 5 , 12.00/3.32 0 1 3 2 3 -> 0 0 2 3 3 1 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 24-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 1 3 2 3 -> 0 0 2 3 3 1 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 23-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 1 3 4 2 -> 0 2 3 4 1 1 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 22-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 1 3 -> 0 0 4 3 1 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 21-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 0 5 4 2 -> 4 0 2 2 0 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 1 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 20-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 0 0 3 -> 0 2 0 3 0 5 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 19-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 1 4 2 -> 0 2 0 1 4 5 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 18-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 0 5 -> 0 2 0 5 5 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 17-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 0 5 2 5 -> 0 2 2 5 5 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 0 5 2 5 1 -> 0 2 0 5 5 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 15-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 3 -> 4 0 2 2 3 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 14-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 0 0 3 -> 0 2 0 0 5 3 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 13-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 2 3 0 5 -> 0 2 0 0 5 3 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 12-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 0 3 2 0 4 -> 4 0 0 2 3 4 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 11-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 0 1 0 4 -> 0 0 2 0 1 4 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 10-rule system 12.00/3.32 { 0 5 0 1 -> 0 2 0 2 5 1 , 12.00/3.32 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 9-rule system 12.00/3.32 { 0 5 2 1 -> 0 2 2 5 1 , 12.00/3.32 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 8-rule system 12.00/3.32 { 2 1 0 4 -> 1 4 0 2 2 2 , 12.00/3.32 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 5: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 7-rule system 12.00/3.32 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 0 3 0 4 1 -> 0 0 1 4 4 3 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 6-rule system 12.00/3.32 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 2 3 0 1 -> 1 5 0 2 2 3 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 4 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 5 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 1 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 12.00/3.32 Remains to prove termination of the 5-rule system 12.00/3.32 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.32 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.32 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.32 5 2 1 0 1 -> 0 2 3 1 5 1 , 12.00/3.32 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.32 12.00/3.32 12.00/3.32 The system was filtered by the following matrix interpretation 12.00/3.32 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.32 12.00/3.32 0 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 1 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 1 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 \ / 12.00/3.32 2 is interpreted by 12.00/3.32 / \ 12.00/3.32 | 1 0 0 0 0 0 | 12.00/3.32 | 0 1 0 0 0 0 | 12.00/3.32 | 0 0 0 1 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 0 | 12.00/3.32 | 0 0 0 0 0 1 | 12.00/3.32 \ / 12.00/3.32 3 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 4 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 5 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 12.00/3.33 Remains to prove termination of the 4-rule system 12.00/3.33 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.33 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.33 2 5 3 0 1 -> 5 0 2 2 3 1 , 12.00/3.33 5 3 0 4 1 -> 4 5 0 2 3 1 } 12.00/3.33 12.00/3.33 12.00/3.33 The system was filtered by the following matrix interpretation 12.00/3.33 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.33 12.00/3.33 0 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 1 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 1 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 2 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 3 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 1 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 4 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 1 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 5 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 12.00/3.33 Remains to prove termination of the 3-rule system 12.00/3.33 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.33 2 1 0 0 4 -> 1 4 4 0 0 2 , 12.00/3.33 2 5 3 0 1 -> 5 0 2 2 3 1 } 12.00/3.33 12.00/3.33 12.00/3.33 The system was filtered by the following matrix interpretation 12.00/3.33 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.33 12.00/3.33 0 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 1 0 | 12.00/3.33 | 0 0 0 0 0 1 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 1 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 1 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 2 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 3 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 4 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 5 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 12.00/3.33 Remains to prove termination of the 2-rule system 12.00/3.33 { 0 2 1 0 1 -> 0 0 2 0 1 1 , 12.00/3.33 2 5 3 0 1 -> 5 0 2 2 3 1 } 12.00/3.33 12.00/3.33 12.00/3.33 The system was filtered by the following matrix interpretation 12.00/3.33 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.33 12.00/3.33 0 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 1 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 1 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 1 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 2 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 1 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 3 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 4 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 5 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 12.00/3.33 Remains to prove termination of the 1-rule system 12.00/3.33 { 2 5 3 0 1 -> 5 0 2 2 3 1 } 12.00/3.33 12.00/3.33 12.00/3.33 The system was filtered by the following matrix interpretation 12.00/3.33 of type E_J with J = {1,...,2} and dimension 6: 12.00/3.33 12.00/3.33 0 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 1 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 1 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 2 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 1 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 3 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 1 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 4 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 5 is interpreted by 12.00/3.33 / \ 12.00/3.33 | 1 0 0 0 0 0 | 12.00/3.33 | 0 1 0 0 0 0 | 12.00/3.33 | 0 0 0 1 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 | 0 0 0 0 0 0 | 12.00/3.33 \ / 12.00/3.33 12.00/3.33 Remains to prove termination of the 0-rule system 12.00/3.33 { } 12.00/3.33 12.00/3.33 12.00/3.33 The system is trivially terminating. 12.33/3.47 EOF