40.65/10.61 YES 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 48-rule system 41.04/10.77 { 0 0 1 -> 0 1 2 0 3 , 41.04/10.77 0 0 1 -> 0 1 2 0 3 2 , 41.04/10.77 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 1 0 -> 2 0 3 1 2 0 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 0 2 1 -> 2 2 0 3 0 1 , 41.04/10.77 0 0 4 1 -> 1 4 0 3 0 3 , 41.04/10.77 0 0 5 1 -> 0 0 3 1 2 5 , 41.04/10.77 0 1 1 0 -> 1 2 0 0 1 2 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 1 0 -> 0 4 0 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 0 5 0 1 -> 0 2 0 3 5 1 , 41.04/10.77 0 5 0 1 -> 5 2 0 3 0 1 , 41.04/10.77 0 5 1 0 -> 0 1 2 0 3 5 , 41.04/10.77 0 5 1 0 -> 2 0 1 3 5 0 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 0 -> 0 4 1 2 0 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 1 5 0 -> 1 2 0 5 4 , 41.04/10.77 4 1 5 0 -> 1 4 0 3 5 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 0 1 0 -> 0 3 5 1 2 0 , 41.04/10.77 5 0 1 0 -> 1 5 2 0 3 0 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 0 5 5 1 -> 1 0 0 3 5 5 , 41.04/10.77 0 1 0 5 0 -> 0 1 5 2 0 0 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 1 5 0 0 -> 1 2 0 4 5 0 , 41.04/10.77 4 1 5 5 0 -> 5 1 3 0 5 4 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 1 0 -> 1 2 0 1 4 3 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 6: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 1 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 47-rule system 41.04/10.77 { 0 0 1 -> 0 1 2 0 3 , 41.04/10.77 0 0 1 -> 0 1 2 0 3 2 , 41.04/10.77 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 1 0 -> 2 0 3 1 2 0 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 0 2 1 -> 2 2 0 3 0 1 , 41.04/10.77 0 0 4 1 -> 1 4 0 3 0 3 , 41.04/10.77 0 0 5 1 -> 0 0 3 1 2 5 , 41.04/10.77 0 1 1 0 -> 1 2 0 0 1 2 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 1 0 -> 0 4 0 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 0 5 0 1 -> 0 2 0 3 5 1 , 41.04/10.77 0 5 0 1 -> 5 2 0 3 0 1 , 41.04/10.77 0 5 1 0 -> 0 1 2 0 3 5 , 41.04/10.77 0 5 1 0 -> 2 0 1 3 5 0 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 0 -> 0 4 1 2 0 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 1 5 0 -> 1 2 0 5 4 , 41.04/10.77 4 1 5 0 -> 1 4 0 3 5 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 0 1 0 -> 0 3 5 1 2 0 , 41.04/10.77 5 0 1 0 -> 1 5 2 0 3 0 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 0 5 5 1 -> 1 0 0 3 5 5 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 1 5 0 0 -> 1 2 0 4 5 0 , 41.04/10.77 4 1 5 5 0 -> 5 1 3 0 5 4 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 1 0 -> 1 2 0 1 4 3 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 8: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 1 0 | 41.04/10.77 | 0 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 45-rule system 41.04/10.77 { 0 0 1 -> 0 1 2 0 3 , 41.04/10.77 0 0 1 -> 0 1 2 0 3 2 , 41.04/10.77 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 1 0 -> 2 0 3 1 2 0 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 0 2 1 -> 2 2 0 3 0 1 , 41.04/10.77 0 0 4 1 -> 1 4 0 3 0 3 , 41.04/10.77 0 0 5 1 -> 0 0 3 1 2 5 , 41.04/10.77 0 1 1 0 -> 1 2 0 0 1 2 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 1 0 -> 0 4 0 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 0 5 0 1 -> 0 2 0 3 5 1 , 41.04/10.77 0 5 0 1 -> 5 2 0 3 0 1 , 41.04/10.77 0 5 1 0 -> 0 1 2 0 3 5 , 41.04/10.77 0 5 1 0 -> 2 0 1 3 5 0 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 0 -> 0 4 1 2 0 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 1 5 0 -> 1 2 0 5 4 , 41.04/10.77 4 1 5 0 -> 1 4 0 3 5 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 0 5 5 1 -> 1 0 0 3 5 5 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 1 5 0 0 -> 1 2 0 4 5 0 , 41.04/10.77 4 1 5 5 0 -> 5 1 3 0 5 4 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 1 0 -> 1 2 0 1 4 3 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 7: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 1 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 42-rule system 41.04/10.77 { 0 0 1 -> 0 1 2 0 3 , 41.04/10.77 0 0 1 -> 0 1 2 0 3 2 , 41.04/10.77 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 0 2 1 -> 2 2 0 3 0 1 , 41.04/10.77 0 0 4 1 -> 1 4 0 3 0 3 , 41.04/10.77 0 1 1 0 -> 1 2 0 0 1 2 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 1 0 -> 0 4 0 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 0 5 0 1 -> 0 2 0 3 5 1 , 41.04/10.77 0 5 0 1 -> 5 2 0 3 0 1 , 41.04/10.77 0 5 1 0 -> 0 1 2 0 3 5 , 41.04/10.77 0 5 1 0 -> 2 0 1 3 5 0 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 0 -> 0 4 1 2 0 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 1 5 0 -> 1 2 0 5 4 , 41.04/10.77 4 1 5 0 -> 1 4 0 3 5 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 1 5 0 0 -> 1 2 0 4 5 0 , 41.04/10.77 4 1 5 5 0 -> 5 1 3 0 5 4 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 1 0 -> 1 2 0 1 4 3 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 41-rule system 41.04/10.77 { 0 0 1 -> 0 1 2 0 3 , 41.04/10.77 0 0 1 -> 0 1 2 0 3 2 , 41.04/10.77 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 0 2 1 -> 2 2 0 3 0 1 , 41.04/10.77 0 0 4 1 -> 1 4 0 3 0 3 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 1 0 -> 0 4 0 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 0 5 0 1 -> 0 2 0 3 5 1 , 41.04/10.77 0 5 0 1 -> 5 2 0 3 0 1 , 41.04/10.77 0 5 1 0 -> 0 1 2 0 3 5 , 41.04/10.77 0 5 1 0 -> 2 0 1 3 5 0 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 0 -> 0 4 1 2 0 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 1 5 0 -> 1 2 0 5 4 , 41.04/10.77 4 1 5 0 -> 1 4 0 3 5 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 1 5 0 0 -> 1 2 0 4 5 0 , 41.04/10.77 4 1 5 5 0 -> 5 1 3 0 5 4 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 1 0 -> 1 2 0 1 4 3 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 1 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 1 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 26-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 5 4 1 0 -> 0 1 2 4 5 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 3 1 5 0 -> 5 1 0 3 2 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 24-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 , 41.04/10.77 4 4 1 0 5 -> 4 0 5 3 4 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 6: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 | 41.04/10.77 | 0 2 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 1 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 23-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 4 1 -> 4 0 3 1 , 41.04/10.77 0 4 1 -> 2 4 0 3 2 1 , 41.04/10.77 0 4 1 -> 2 4 0 5 3 1 , 41.04/10.77 0 4 1 -> 4 2 1 2 0 3 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 0 2 4 1 -> 4 0 5 3 1 2 , 41.04/10.77 0 4 2 1 -> 4 0 3 2 2 1 , 41.04/10.77 0 4 2 1 -> 4 0 3 5 1 2 , 41.04/10.77 0 4 4 1 -> 2 4 0 3 4 1 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 3 1 0 -> 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 4 3 1 0 -> 2 1 4 2 0 3 , 41.04/10.77 4 3 1 0 -> 2 2 4 0 1 3 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 4 1 4 1 -> 4 4 0 1 2 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 1 0 1 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 2 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 11-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 3 1 0 0 -> 0 0 3 0 1 2 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 6: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 1 0 0 1 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 10-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 4 3 1 0 -> 2 0 2 1 3 4 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 , 41.04/10.77 4 3 1 0 1 -> 1 1 2 3 0 4 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 8-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 4 1 0 -> 1 2 0 4 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 4 1 0 1 -> 1 1 2 0 4 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 , 41.04/10.77 0 5 5 4 1 -> 4 1 0 5 5 3 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 4: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 1 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 1 1 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 2 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 5-rule system 41.04/10.77 { 0 0 1 -> 1 2 0 0 3 2 , 41.04/10.77 0 0 1 1 -> 1 2 0 0 3 1 , 41.04/10.77 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 4: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 1 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 | 41.04/10.77 | 0 1 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 | 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 3-rule system 41.04/10.77 { 0 1 4 1 -> 0 1 2 4 1 2 , 41.04/10.77 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 2-rule system 41.04/10.77 { 4 0 5 1 -> 1 4 0 5 3 2 , 41.04/10.77 0 2 5 0 1 -> 2 0 3 5 0 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 5: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 1-rule system 41.04/10.77 { 0 2 5 0 1 -> 2 0 3 5 0 1 } 41.04/10.77 41.04/10.77 41.04/10.77 The system was filtered by the following matrix interpretation 41.04/10.77 of type E_J with J = {1,...,2} and dimension 6: 41.04/10.77 41.04/10.77 0 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 1 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 1 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 1 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 2 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 1 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 3 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 4 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 5 is interpreted by 41.04/10.77 / \ 41.04/10.77 | 1 0 0 0 0 0 | 41.04/10.77 | 0 1 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 1 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 | 0 0 0 0 0 0 | 41.04/10.77 \ / 41.04/10.77 41.04/10.77 Remains to prove termination of the 0-rule system 41.04/10.77 { } 41.04/10.77 41.04/10.77 41.04/10.77 The system is trivially terminating. 43.67/11.61 EOF