23.88/6.45 YES 24.61/6.60 24.61/6.60 24.61/6.60 The system was filtered by the following matrix interpretation 24.61/6.60 of type E_J with J = {1,...,2} and dimension 5: 24.61/6.60 24.61/6.60 0 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 1 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 4 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 1 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 5 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 \ / 24.61/6.60 1 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 1 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 3 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 2 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 24.61/6.60 Remains to prove termination of the 32-rule system 24.61/6.60 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.60 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.60 0 0 1 -> 0 4 1 3 0 2 1 5 0 1 , 24.61/6.60 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.60 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.60 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.60 4 0 0 1 -> 2 2 2 3 3 0 2 3 5 1 , 24.61/6.60 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.60 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.60 1 0 0 0 0 -> 1 2 0 1 0 2 3 2 1 0 , 24.61/6.60 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.60 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.60 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.60 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.60 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.60 1 2 0 0 1 3 -> 0 4 2 5 2 2 3 4 4 3 , 24.61/6.60 2 0 0 1 0 0 -> 2 4 4 1 0 5 5 2 1 1 , 24.61/6.60 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.60 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.60 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.60 3 5 2 5 5 1 -> 2 1 3 4 5 1 4 0 4 1 , 24.61/6.60 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.60 5 0 0 0 0 0 -> 4 5 3 4 0 4 1 4 0 0 , 24.61/6.60 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.60 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.60 0 4 5 2 5 5 5 -> 0 4 1 4 0 1 3 2 2 3 , 24.61/6.60 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.60 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.60 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.60 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.60 4 0 0 4 0 3 4 -> 3 3 3 3 0 1 5 4 0 4 , 24.61/6.60 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.60 24.61/6.60 24.61/6.60 The system was filtered by the following matrix interpretation 24.61/6.60 of type E_J with J = {1,...,2} and dimension 11: 24.61/6.60 24.61/6.60 0 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 0 0 1 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 1 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 4 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 1 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 5 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 1 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 1 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 1 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 1 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 3 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 2 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 24.61/6.60 Remains to prove termination of the 31-rule system 24.61/6.60 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.60 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.60 0 0 1 -> 0 4 1 3 0 2 1 5 0 1 , 24.61/6.60 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.60 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.60 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.60 4 0 0 1 -> 2 2 2 3 3 0 2 3 5 1 , 24.61/6.60 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.60 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.60 1 0 0 0 0 -> 1 2 0 1 0 2 3 2 1 0 , 24.61/6.60 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.60 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.60 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.60 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.60 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.60 1 2 0 0 1 3 -> 0 4 2 5 2 2 3 4 4 3 , 24.61/6.60 2 0 0 1 0 0 -> 2 4 4 1 0 5 5 2 1 1 , 24.61/6.60 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.60 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.60 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.60 3 5 2 5 5 1 -> 2 1 3 4 5 1 4 0 4 1 , 24.61/6.60 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.60 5 0 0 0 0 0 -> 4 5 3 4 0 4 1 4 0 0 , 24.61/6.60 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.60 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.60 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.60 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.60 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.60 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.60 4 0 0 4 0 3 4 -> 3 3 3 3 0 1 5 4 0 4 , 24.61/6.60 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.60 24.61/6.60 24.61/6.60 The system was filtered by the following matrix interpretation 24.61/6.60 of type E_J with J = {1,...,2} and dimension 7: 24.61/6.60 24.61/6.60 0 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 1 0 0 0 | 24.61/6.60 | 0 0 0 0 1 0 0 | 24.61/6.60 | 0 0 0 0 0 1 0 | 24.61/6.60 | 0 0 0 0 0 0 1 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 4 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 1 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 5 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 1 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 3 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 2 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 1 0 | 24.61/6.60 \ / 24.61/6.60 24.61/6.60 Remains to prove termination of the 30-rule system 24.61/6.60 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.60 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.60 0 0 1 -> 0 4 1 3 0 2 1 5 0 1 , 24.61/6.60 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.60 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.60 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.60 4 0 0 1 -> 2 2 2 3 3 0 2 3 5 1 , 24.61/6.60 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.60 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.60 1 0 0 0 0 -> 1 2 0 1 0 2 3 2 1 0 , 24.61/6.60 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.60 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.60 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.60 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.60 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.60 1 2 0 0 1 3 -> 0 4 2 5 2 2 3 4 4 3 , 24.61/6.60 2 0 0 1 0 0 -> 2 4 4 1 0 5 5 2 1 1 , 24.61/6.60 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.60 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.60 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.60 3 5 2 5 5 1 -> 2 1 3 4 5 1 4 0 4 1 , 24.61/6.60 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.60 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.60 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.60 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.60 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.60 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.60 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.60 4 0 0 4 0 3 4 -> 3 3 3 3 0 1 5 4 0 4 , 24.61/6.60 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.60 24.61/6.60 24.61/6.60 The system was filtered by the following matrix interpretation 24.61/6.60 of type E_J with J = {1,...,2} and dimension 6: 24.61/6.60 24.61/6.60 0 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 1 0 0 | 24.61/6.60 | 0 0 0 0 1 0 | 24.61/6.60 | 0 0 0 0 0 1 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 4 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 1 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 5 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 1 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 1 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 3 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 \ / 24.61/6.60 2 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 | 24.61/6.60 | 0 1 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 1 0 | 24.61/6.60 \ / 24.61/6.60 24.61/6.60 Remains to prove termination of the 28-rule system 24.61/6.60 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.60 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.60 0 0 1 -> 0 4 1 3 0 2 1 5 0 1 , 24.61/6.60 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.60 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.60 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.60 4 0 0 1 -> 2 2 2 3 3 0 2 3 5 1 , 24.61/6.60 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.60 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.60 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.60 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.60 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.60 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.60 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.60 1 2 0 0 1 3 -> 0 4 2 5 2 2 3 4 4 3 , 24.61/6.60 2 0 0 1 0 0 -> 2 4 4 1 0 5 5 2 1 1 , 24.61/6.60 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.60 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.60 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.60 3 5 2 5 5 1 -> 2 1 3 4 5 1 4 0 4 1 , 24.61/6.60 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.60 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.60 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.60 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.60 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.60 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.60 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.60 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.60 24.61/6.60 24.61/6.60 The system was filtered by the following matrix interpretation 24.61/6.60 of type E_J with J = {1,...,2} and dimension 10: 24.61/6.60 24.61/6.60 0 is interpreted by 24.61/6.60 / \ 24.61/6.60 | 1 0 0 0 0 0 0 1 0 0 | 24.61/6.60 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.60 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 1 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 27-rule system 24.61/6.61 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.61 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 0 0 1 -> 0 4 1 3 0 2 1 5 0 1 , 24.61/6.61 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.61 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.61 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.61 4 0 0 1 -> 2 2 2 3 3 0 2 3 5 1 , 24.61/6.61 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.61 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.61 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.61 1 2 0 0 1 3 -> 0 4 2 5 2 2 3 4 4 3 , 24.61/6.61 2 0 0 1 0 0 -> 2 4 4 1 0 5 5 2 1 1 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.61 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.61 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.61 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.61 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 9: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 1 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 23-rule system 24.61/6.61 { 0 0 -> 0 4 4 5 1 1 3 1 2 1 , 24.61/6.61 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.61 0 0 5 2 -> 2 3 4 3 0 2 3 0 5 3 , 24.61/6.61 1 1 0 0 -> 1 3 3 3 4 4 3 2 5 0 , 24.61/6.61 5 0 0 4 -> 2 5 4 5 2 1 2 3 0 4 , 24.61/6.61 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 3 0 0 3 5 -> 3 3 3 4 5 2 3 3 2 4 , 24.61/6.61 3 0 0 4 0 -> 3 3 0 5 5 3 2 2 5 0 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 5 0 0 0 3 -> 5 1 4 2 3 0 0 2 1 3 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 0 0 0 0 5 1 0 -> 3 0 5 0 5 5 0 4 0 2 , 24.61/6.61 0 3 5 0 0 5 2 -> 2 1 4 4 3 2 5 1 4 3 , 24.61/6.61 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.61 1 5 1 0 0 4 3 -> 4 4 1 1 4 0 4 3 0 3 , 24.61/6.61 2 0 0 4 5 1 3 -> 1 0 2 1 4 3 0 4 4 2 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 3: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 12-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 0 -> 2 2 2 3 0 0 4 4 2 1 , 24.61/6.61 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 4: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 1 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 | 24.61/6.61 | 0 1 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 | 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 11-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 1 0 1 4 3 5 5 -> 3 3 0 3 5 4 3 4 0 1 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 8: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 10-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 0 3 3 5 4 -> 0 3 3 2 4 3 3 0 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 6: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 9-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 1 0 1 0 1 -> 3 5 5 4 4 1 3 1 3 2 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 11: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 8-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 4 1 5 1 0 -> 1 0 3 1 4 5 0 5 4 4 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 7: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 7-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 0 5 5 0 1 -> 2 3 1 4 3 1 3 3 5 1 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 2: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 1 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 6-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 2 5 5 4 1 0 -> 2 5 5 1 1 1 4 2 3 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 7: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 5-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 3 0 0 5 5 1 3 -> 2 4 5 2 4 4 2 0 0 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 8: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 1 0 0 0 0 | 24.61/6.61 | 0 0 0 0 1 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 1 0 0 | 24.61/6.61 | 0 0 0 0 0 0 1 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 1 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 0 0 0 0 0 | 24.61/6.61 | 0 1 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 | 0 0 0 0 0 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 4-rule system 24.61/6.61 { 4 0 -> 4 4 2 3 0 2 4 2 3 4 , 24.61/6.61 4 0 3 4 0 -> 2 3 0 3 2 3 5 5 4 0 , 24.61/6.61 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 3: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 1 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 0 | 24.61/6.61 | 0 1 0 | 24.61/6.61 | 0 0 0 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 2-rule system 24.61/6.61 { 4 1 0 3 4 3 -> 4 1 4 5 4 1 2 0 1 3 , 24.61/6.61 4 3 0 4 0 3 4 -> 4 2 4 2 4 4 0 3 0 4 } 24.61/6.61 24.61/6.61 24.61/6.61 The system was filtered by the following matrix interpretation 24.61/6.61 of type E_J with J = {1,...,2} and dimension 2: 24.61/6.61 24.61/6.61 0 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 4 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 5 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 1 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 3 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 1 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 2 is interpreted by 24.61/6.61 / \ 24.61/6.61 | 1 0 | 24.61/6.61 | 0 1 | 24.61/6.61 \ / 24.61/6.61 24.61/6.61 Remains to prove termination of the 0-rule system 24.61/6.61 { } 24.61/6.61 24.61/6.61 24.61/6.61 The system is trivially terminating. 25.16/6.76 EOF