441.37/112.23 YES 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 1 1 0 0 | 441.93/112.41 | 0 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 1 0 0 0 | 441.93/112.41 | 0 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 47-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 0 2 4 -> 0 4 0 2 1 1 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 0 3 2 4 -> 2 1 3 0 4 4 , 441.93/112.41 0 4 3 2 -> 2 3 4 0 1 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 4 5 -> 3 1 4 2 1 5 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 4 1 0 -> 5 1 1 4 0 1 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 0 1 2 4 -> 0 0 2 1 1 4 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 1 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 46-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 0 3 2 4 -> 2 1 3 0 4 4 , 441.93/112.41 0 4 3 2 -> 2 3 4 0 1 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 4 5 -> 3 1 4 2 1 5 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 4 1 0 -> 5 1 1 4 0 1 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 0 1 2 4 -> 0 0 2 1 1 4 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 45-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 0 4 3 2 -> 2 3 4 0 1 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 4 5 -> 3 1 4 2 1 5 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 4 1 0 -> 5 1 1 4 0 1 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 0 1 2 4 -> 0 0 2 1 1 4 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 43-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 4 5 -> 3 1 4 2 1 5 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 0 1 2 4 -> 0 0 2 1 1 4 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 1 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 42-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 0 1 2 4 -> 0 0 2 1 1 4 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 | 441.93/112.41 | 0 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 41-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 4 0 -> 3 1 0 4 2 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 1 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 1 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 1 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 40-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 2 0 -> 0 0 2 1 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 0 -> 0 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 2 1 , 441.93/112.41 3 2 0 -> 0 1 2 1 3 , 441.93/112.41 3 2 0 -> 3 0 1 2 1 4 , 441.93/112.41 3 2 4 -> 1 2 1 3 3 4 , 441.93/112.41 3 2 4 -> 4 1 2 1 1 3 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 2 4 -> 5 2 1 1 3 4 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 2 4 -> 3 0 4 2 1 1 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 4 3 2 0 -> 0 2 1 3 4 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 , 441.93/112.41 5 4 2 0 2 -> 5 0 4 2 1 2 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 1 1 0 0 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 1 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 1 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 29-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 4 0 4 2 -> 4 4 2 1 3 0 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 1 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 28-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 0 4 -> 0 5 4 1 1 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 2 2 0 4 -> 3 2 2 0 1 4 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 1 | 441.93/112.41 | 0 0 0 1 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 3 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 4 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 \ / 441.93/112.41 5 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 | 441.93/112.41 | 0 1 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 | 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 441.93/112.41 Remains to prove termination of the 26-rule system 441.93/112.41 { 0 0 0 -> 0 0 1 0 1 , 441.93/112.41 0 3 2 -> 2 1 3 0 , 441.93/112.41 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.41 3 0 4 -> 0 1 3 4 1 , 441.93/112.41 3 2 5 -> 1 3 5 2 , 441.93/112.41 3 2 5 -> 3 1 4 5 2 , 441.93/112.41 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.41 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.41 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.41 5 0 2 -> 1 1 0 2 5 , 441.93/112.41 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.41 5 5 0 -> 5 1 1 5 0 , 441.93/112.41 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.41 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.41 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.41 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.41 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.41 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.41 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.41 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.41 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.41 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.41 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.41 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.41 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.41 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.41 441.93/112.41 441.93/112.41 The system was filtered by the following matrix interpretation 441.93/112.41 of type E_J with J = {1,...,2} and dimension 8: 441.93/112.41 441.93/112.41 0 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 1 0 1 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 1 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 1 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 1 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 \ / 441.93/112.41 2 is interpreted by 441.93/112.41 / \ 441.93/112.41 | 1 0 0 0 0 0 0 0 | 441.93/112.41 | 0 1 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 0 0 0 0 0 0 | 441.93/112.41 | 0 0 1 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 25-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 0 4 -> 0 1 3 4 1 , 441.93/112.42 3 2 5 -> 1 3 5 2 , 441.93/112.42 3 2 5 -> 3 1 4 5 2 , 441.93/112.42 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.42 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.42 3 5 3 0 4 -> 3 0 1 5 3 4 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 10: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 1 0 0 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 24-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 0 4 -> 0 1 3 4 1 , 441.93/112.42 3 2 5 -> 1 3 5 2 , 441.93/112.42 3 2 5 -> 3 1 4 5 2 , 441.93/112.42 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.42 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 0 5 4 -> 3 4 0 5 1 3 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 7: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 1 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 1 1 0 1 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 23-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 0 4 -> 0 1 3 4 1 , 441.93/112.42 3 2 5 -> 1 3 5 2 , 441.93/112.42 3 2 5 -> 3 1 4 5 2 , 441.93/112.42 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.42 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 3 5 1 4 0 -> 1 3 3 4 5 0 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 10: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 1 0 0 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 22-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 0 4 -> 0 1 3 4 1 , 441.93/112.42 3 2 5 -> 1 3 5 2 , 441.93/112.42 3 2 5 -> 3 1 4 5 2 , 441.93/112.42 3 2 5 -> 1 1 3 3 5 2 , 441.93/112.42 3 2 5 -> 1 3 4 5 4 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 2 5 4 -> 3 4 3 5 2 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 8: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 1 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 17-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 0 4 -> 0 1 3 4 1 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 1 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 16-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 , 441.93/112.42 5 1 3 2 0 -> 2 3 5 0 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 15-rule system 441.93/112.42 { 0 3 2 -> 2 1 3 0 , 441.93/112.42 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 1 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 14-rule system 441.93/112.42 { 0 4 2 -> 4 1 1 1 0 2 , 441.93/112.42 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 13-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 0 3 1 2 -> 1 1 3 0 2 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 , 441.93/112.42 3 0 3 1 2 -> 0 2 1 1 3 3 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 11-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 3 5 3 2 -> 3 3 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 10-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 3 2 -> 1 1 3 5 1 2 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 9-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 3 1 2 -> 5 2 1 3 1 0 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 1 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 8-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 3 1 0 0 -> 0 1 1 3 0 1 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 7-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 0 5 5 1 0 -> 5 0 0 5 1 1 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 6-rule system 441.93/112.42 { 3 5 0 -> 3 1 0 5 1 1 , 441.93/112.42 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 5-rule system 441.93/112.42 { 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 , 441.93/112.42 3 0 1 4 5 -> 3 4 0 5 1 1 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 6: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 1 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 1 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 4-rule system 441.93/112.42 { 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 -> 5 1 1 5 0 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 1 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 3-rule system 441.93/112.42 { 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 , 441.93/112.42 5 5 2 2 -> 5 5 1 1 2 2 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 1 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 2-rule system 441.93/112.42 { 5 0 2 -> 1 1 0 2 5 , 441.93/112.42 5 5 0 0 -> 1 1 0 5 5 0 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 4: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 1 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 | 441.93/112.42 | 0 1 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 | 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 1-rule system 441.93/112.42 { 5 5 0 0 -> 1 1 0 5 5 0 } 441.93/112.42 441.93/112.42 441.93/112.42 The system was filtered by the following matrix interpretation 441.93/112.42 of type E_J with J = {1,...,2} and dimension 5: 441.93/112.42 441.93/112.42 0 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 1 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 1 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 \ / 441.93/112.42 1 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 2 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 3 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 4 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 0 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 5 is interpreted by 441.93/112.42 / \ 441.93/112.42 | 1 0 1 0 0 | 441.93/112.42 | 0 1 0 0 0 | 441.93/112.42 | 0 0 0 1 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 | 0 0 0 0 0 | 441.93/112.42 \ / 441.93/112.42 441.93/112.42 Remains to prove termination of the 0-rule system 441.93/112.42 { } 441.93/112.42 441.93/112.42 441.93/112.42 The system is trivially terminating. 505.76/139.03 EOF