40.54/10.71 YES 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 14: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 1 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 51-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.54/10.88 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 5 3 1 2 4 -> 5 5 4 1 3 0 0 3 0 4 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 1 4 1 2 1 4 -> 1 2 5 2 0 0 3 1 5 5 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 2 5 1 2 4 0 5 -> 0 0 5 5 5 0 0 0 3 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 1 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 1 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 50-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.54/10.88 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 5 3 1 2 4 -> 5 5 4 1 3 0 0 3 0 4 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 2 5 1 2 4 0 5 -> 0 0 5 5 5 0 0 0 3 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 6: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 1 1 0 1 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 1 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 48-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.54/10.88 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 47-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.54/10.88 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 43-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 42-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 13: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 41-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 1 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 1 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 38-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 13: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 37-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.88 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.88 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.54/10.88 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.88 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.88 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.88 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.88 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.88 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.88 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.88 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.88 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.88 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.88 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.88 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.88 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.88 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.88 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.88 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.88 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.88 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.88 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.88 41.54/10.88 41.54/10.88 The system was filtered by the following matrix interpretation 41.54/10.88 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.88 41.54/10.88 0 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 1 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 1 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 1 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 1 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 2 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 1 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 3 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 5 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 1 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 4 is interpreted by 41.54/10.88 / \ 41.54/10.88 | 1 0 0 0 0 0 0 | 41.54/10.88 | 0 1 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 1 1 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 | 0 0 0 0 0 0 0 | 41.54/10.88 \ / 41.54/10.88 41.54/10.88 Remains to prove termination of the 36-rule system 41.54/10.88 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.88 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.88 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.88 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.88 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.88 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.88 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.88 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.88 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.88 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.88 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.88 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.88 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.88 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.88 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.88 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 13: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 35-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 34-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 6: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 33-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 32-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 31-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 30-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 1 0 1 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 28-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 27-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 26-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 6: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 1 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 1 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 25-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 13: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 24-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 6: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 23-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 14: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 22-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 21-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 20-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.54/10.89 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 19-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 18-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 17-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 16-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 2 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 1 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 1 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 3 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 5 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 1 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 1 0 0 | 41.54/10.89 | 0 0 0 0 0 1 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 1 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 4 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 | 41.54/10.89 \ / 41.54/10.89 41.54/10.89 Remains to prove termination of the 15-rule system 41.54/10.89 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.89 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.89 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.89 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.89 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.89 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.89 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.89 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.89 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.89 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.89 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.89 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.89 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.89 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.54/10.89 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.89 41.54/10.89 41.54/10.89 The system was filtered by the following matrix interpretation 41.54/10.89 of type E_J with J = {1,...,2} and dimension 8: 41.54/10.89 41.54/10.89 0 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 1 | 41.54/10.89 \ / 41.54/10.89 1 is interpreted by 41.54/10.89 / \ 41.54/10.89 | 1 0 0 0 0 0 0 0 | 41.54/10.89 | 0 1 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.89 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 1 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 14-rule system 41.54/10.90 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.90 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.90 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.90 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 13: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 13-rule system 41.54/10.90 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.90 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.90 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 7: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 0 0 | 41.54/10.90 | 0 0 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 1 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 1 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 1 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 0 | 41.54/10.90 | 0 0 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 12-rule system 41.54/10.90 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.54/10.90 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.90 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 11-rule system 41.54/10.90 { 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.54/10.90 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 10-rule system 41.54/10.90 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 5: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 8-rule system 41.54/10.90 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 6: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 1 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 1 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 1 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 1 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 0 0 0 0 | 41.54/10.90 | 0 1 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 | 0 0 0 0 0 1 | 41.54/10.90 | 0 0 0 0 0 0 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 7-rule system 41.54/10.90 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.54/10.90 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.54/10.90 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.54/10.90 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.54/10.90 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 2: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 1 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 2-rule system 41.54/10.90 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.54/10.90 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 2: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 1 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 1-rule system 41.54/10.90 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 } 41.54/10.90 41.54/10.90 41.54/10.90 The system was filtered by the following matrix interpretation 41.54/10.90 of type E_J with J = {1,...,2} and dimension 2: 41.54/10.90 41.54/10.90 0 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 1 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 1 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 2 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 3 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 5 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 4 is interpreted by 41.54/10.90 / \ 41.54/10.90 | 1 0 | 41.54/10.90 | 0 1 | 41.54/10.90 \ / 41.54/10.90 41.54/10.90 Remains to prove termination of the 0-rule system 41.54/10.90 { } 41.54/10.90 41.54/10.90 41.54/10.90 The system is trivially terminating. 43.84/12.55 EOF