909.89/232.02 YES 910.48/232.17 910.48/232.17 910.48/232.17 The system was filtered by the following matrix interpretation 910.48/232.17 of type E_J with J = {1,...,2} and dimension 10: 910.48/232.17 910.48/232.17 0 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 1 0 0 0 0 1 0 0 | 910.48/232.17 \ / 910.48/232.17 1 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 0 0 0 0 0 1 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 1 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 1 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 \ / 910.48/232.17 2 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 0 0 0 0 0 1 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 1 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 1 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 \ / 910.48/232.17 3 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 0 0 0 0 0 1 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 1 0 0 0 0 0 0 0 | 910.48/232.17 \ / 910.48/232.17 4 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 1 0 0 0 0 0 0 | 910.48/232.17 | 0 0 1 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 1 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 1 1 1 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 \ / 910.48/232.17 5 is interpreted by 910.48/232.17 / \ 910.48/232.17 | 1 0 1 0 0 0 0 0 0 0 | 910.48/232.17 | 0 1 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 1 0 0 | 910.48/232.17 | 0 0 0 0 1 0 0 0 0 1 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 | 0 0 0 0 0 0 0 0 0 0 | 910.48/232.17 \ / 910.48/232.17 910.48/232.17 Remains to prove termination of the 59-rule system 910.48/232.17 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.17 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.17 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.17 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.17 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.17 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.17 4 1 2 1 1 -> 4 5 5 5 1 5 2 3 1 0 , 910.48/232.17 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.17 5 4 1 2 2 -> 3 1 3 3 5 5 1 3 0 2 , 910.48/232.17 5 4 1 2 2 -> 3 3 0 0 0 4 1 0 5 1 , 910.48/232.17 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.17 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.17 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.17 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.17 2 3 3 4 4 1 -> 2 0 0 3 1 2 2 5 5 2 , 910.48/232.17 2 4 1 2 1 1 -> 2 0 0 4 0 5 3 0 1 0 , 910.48/232.17 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.17 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.17 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.17 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.17 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.17 5 2 4 4 4 1 -> 2 0 4 0 3 1 3 5 0 2 , 910.48/232.17 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.17 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.17 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.17 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.17 2 0 1 1 1 5 2 -> 2 5 0 0 1 0 4 3 5 1 , 910.48/232.17 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.17 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.17 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.17 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.17 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.17 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.17 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.17 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.17 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.17 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.17 4 1 0 4 0 1 1 -> 2 4 2 2 3 5 3 2 3 1 , 910.48/232.17 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.17 4 2 4 1 1 1 2 -> 0 3 0 2 5 1 4 2 2 2 , 910.48/232.17 4 4 2 1 1 1 1 -> 4 3 5 0 0 5 0 1 3 4 , 910.48/232.17 4 5 3 5 2 1 1 -> 4 5 3 5 5 1 1 0 5 3 , 910.48/232.17 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.17 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.17 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.17 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.17 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.17 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.17 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.17 5 4 5 5 3 1 2 -> 5 0 3 0 2 2 4 5 0 2 , 910.48/232.17 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.17 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.17 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.17 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 12: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 1 1 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 53-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 1 2 2 -> 3 1 3 3 5 5 1 3 0 2 , 910.48/232.18 5 4 1 2 2 -> 3 3 0 0 0 4 1 0 5 1 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 3 3 4 4 1 -> 2 0 0 3 1 2 2 5 5 2 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 5 2 4 4 4 1 -> 2 0 4 0 3 1 3 5 0 2 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 0 4 0 1 1 -> 2 4 2 2 3 5 3 2 3 1 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 4 5 5 3 1 2 -> 5 0 3 0 2 2 4 5 0 2 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 17: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 52-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 1 2 2 -> 3 1 3 3 5 5 1 3 0 2 , 910.48/232.18 5 4 1 2 2 -> 3 3 0 0 0 4 1 0 5 1 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 3 3 4 4 1 -> 2 0 0 3 1 2 2 5 5 2 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 5 2 4 4 4 1 -> 2 0 4 0 3 1 3 5 0 2 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 0 4 0 1 1 -> 2 4 2 2 3 5 3 2 3 1 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 14: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 51-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 1 2 2 -> 3 1 3 3 5 5 1 3 0 2 , 910.48/232.18 5 4 1 2 2 -> 3 3 0 0 0 4 1 0 5 1 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 3 3 4 4 1 -> 2 0 0 3 1 2 2 5 5 2 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 5 2 4 4 4 1 -> 2 0 4 0 3 1 3 5 0 2 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 9: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 49-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 3 3 4 4 1 -> 2 0 0 3 1 2 2 5 5 2 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 5 2 4 4 4 1 -> 2 0 4 0 3 1 3 5 0 2 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 13: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 47-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 2 0 4 1 1 -> 5 4 5 5 5 5 5 1 4 4 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 14: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 46-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 5 5 4 5 2 1 5 -> 0 0 2 1 3 2 0 2 2 5 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 14: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 45-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 2 4 1 3 -> 4 3 5 5 1 3 1 2 4 5 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 5 2 4 1 5 2 -> 3 0 2 4 2 0 0 3 5 1 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 0 1 5 0 2 1 -> 2 3 0 0 3 4 0 0 4 0 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 4 1 4 1 2 -> 2 3 0 3 1 1 4 2 2 2 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 2 4 1 2 0 -> 2 5 5 5 1 5 3 5 1 0 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 0 4 2 0 1 3 ->= 0 3 0 1 2 5 4 5 1 2 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 0 2 0 1 2 0 ->= 3 0 2 4 5 1 2 2 5 0 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 5: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 | 910.48/232.18 | 0 1 0 2 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 1 1 0 1 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 1 1 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 2 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 1 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 38-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 0 4 0 1 4 -> 3 5 5 1 4 3 1 5 4 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 18: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 37-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 0 3 4 4 4 -> 3 5 3 0 0 3 1 2 0 4 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 7: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 1 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 36-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 2 4 4 3 5 ->= 2 5 0 0 2 3 5 1 0 5 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 12: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 35-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 2 0 4 4 2 1 -> 3 1 0 3 3 0 1 4 0 0 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 34-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 2 5 5 4 5 3 4 -> 2 4 5 0 0 3 5 1 1 1 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 33-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 0 1 4 1 3 -> 0 2 5 0 5 0 0 2 4 5 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 6: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 1 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 32-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 2 5 5 4 2 0 4 -> 2 1 2 2 4 5 5 2 3 0 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 31-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 1 3 0 4 3 4 4 -> 1 3 0 0 2 5 5 5 1 1 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 1 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 1 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 1 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 1 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 4 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 1 1 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 5 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 910.48/232.18 Remains to prove termination of the 30-rule system 910.48/232.18 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.18 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.18 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.18 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.18 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.18 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.18 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.18 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.18 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.18 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.18 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.18 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.18 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.18 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.18 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.18 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.18 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.18 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.18 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.18 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.18 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.18 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.18 5 2 5 2 4 1 3 -> 0 0 1 2 1 2 2 4 1 3 , 910.48/232.18 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.18 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.18 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.18 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.18 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.18 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.18 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.18 910.48/232.18 910.48/232.18 The system was filtered by the following matrix interpretation 910.48/232.18 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.18 910.48/232.18 0 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 0 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 1 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 1 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 2 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 1 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 1 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 | 0 0 0 0 0 0 0 0 | 910.48/232.18 \ / 910.48/232.18 3 is interpreted by 910.48/232.18 / \ 910.48/232.18 | 1 0 1 0 0 0 0 0 | 910.48/232.18 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 29-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.19 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.19 2 5 3 4 1 3 4 -> 0 0 0 4 3 1 0 0 3 4 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 1 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 1 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 28-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 1 1 5 0 1 5 2 -> 5 5 1 0 5 5 5 5 5 2 , 910.48/232.19 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 27-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 1 2 2 3 1 0 1 -> 1 4 0 0 2 2 2 5 0 4 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 13: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 26-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 2 4 5 4 5 3 -> 0 2 5 3 3 0 5 0 0 5 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 25-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 5 4 2 0 5 -> 5 5 5 1 0 0 2 1 4 5 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 2 3 2 0 5 -> 3 0 4 0 1 0 3 3 1 5 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 6: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 23-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 0 5 5 3 -> 2 0 0 2 3 5 1 1 5 3 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 22-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 3 1 1 0 2 3 ->= 3 2 5 5 5 0 0 4 2 3 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 21-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 4 2 4 5 2 3 -> 2 4 4 0 0 2 3 1 4 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 13: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 20-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 1 4 5 0 4 1 4 ->= 0 0 2 2 4 4 1 2 3 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 19-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 1 0 4 2 -> 0 0 3 5 3 0 0 2 0 2 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 11: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 18-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 2 5 -> 4 0 0 2 2 4 3 1 3 5 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 11: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 17-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 , 910.48/232.19 3 5 3 3 0 1 4 ->= 3 0 0 5 5 1 3 0 1 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 16-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 3 5 5 4 1 1 4 -> 3 4 2 2 5 0 0 3 1 4 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 15-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 4 0 5 2 3 1 -> 0 2 1 5 0 0 0 2 5 3 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 13: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 0 0 0 0 0 1 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 14-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 3 4 0 2 0 4 4 -> 0 5 0 3 0 0 1 4 4 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 13-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 5 4 5 2 2 3 0 -> 2 1 2 5 0 3 3 0 4 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 12-rule system 910.48/232.19 { 0 1 2 -> 0 3 0 0 2 4 2 2 5 1 , 910.48/232.19 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 4: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 0 1 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 | 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 | 910.48/232.19 | 0 1 0 0 | 910.48/232.19 | 0 0 1 0 | 910.48/232.19 | 0 0 0 1 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 11-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 5 2 4 2 0 -> 4 0 0 0 1 0 0 2 2 0 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 6: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 | 910.48/232.19 | 0 0 1 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 10-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 , 910.48/232.19 3 5 2 1 0 3 4 ->= 0 5 5 5 5 0 3 1 3 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 9-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 3 0 1 1 4 0 5 -> 4 0 2 3 5 3 0 0 2 3 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 8-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 3 1 5 4 2 0 -> 0 3 3 0 0 3 1 1 3 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 7: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 1 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 1 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 1 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 1 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 0 0 0 0 0 | 910.48/232.19 | 0 1 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 1 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 | 0 0 0 0 0 0 0 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 7-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 0 4 3 5 4 2 0 -> 0 0 3 0 0 1 5 0 0 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 2: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 5 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 4 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 2 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 3 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 6-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 5 2 2 3 4 4 0 -> 2 5 5 0 4 0 4 0 1 0 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 2: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 2 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 5-rule system 910.48/232.19 { 4 1 3 0 -> 4 3 0 5 0 0 5 0 0 4 , 910.48/232.19 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 2: 910.48/232.19 910.48/232.19 0 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 1 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 2 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 2 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 3 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 4 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 1 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 5 is interpreted by 910.48/232.19 / \ 910.48/232.19 | 1 0 | 910.48/232.19 | 0 1 | 910.48/232.19 \ / 910.48/232.19 910.48/232.19 Remains to prove termination of the 4-rule system 910.48/232.19 { 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.19 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.19 4 1 3 4 2 5 4 -> 4 1 3 0 4 0 0 2 5 4 , 910.48/232.19 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.19 910.48/232.19 910.48/232.19 The system was filtered by the following matrix interpretation 910.48/232.19 of type E_J with J = {1,...,2} and dimension 8: 910.48/232.20 910.48/232.20 0 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 1 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 1 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 1 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 2 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 1 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 3 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 1 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 1 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 4 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 1 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 1 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 5 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 1 | 910.48/232.20 | 0 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 910.48/232.20 Remains to prove termination of the 3-rule system 910.48/232.20 { 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.20 2 5 2 0 1 0 -> 2 1 0 0 3 0 4 0 0 0 , 910.48/232.20 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.20 910.48/232.20 910.48/232.20 The system was filtered by the following matrix interpretation 910.48/232.20 of type E_J with J = {1,...,2} and dimension 7: 910.48/232.20 910.48/232.20 0 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 1 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 1 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 1 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 2 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 1 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 1 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 3 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 4 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 5 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 0 0 0 0 0 | 910.48/232.20 | 0 1 0 0 0 0 0 | 910.48/232.20 | 0 0 0 1 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 | 0 0 0 0 0 0 0 | 910.48/232.20 \ / 910.48/232.20 910.48/232.20 Remains to prove termination of the 2-rule system 910.48/232.20 { 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 , 910.48/232.20 4 1 3 3 0 ->= 0 0 4 4 3 5 0 0 0 4 } 910.48/232.20 910.48/232.20 910.48/232.20 The system was filtered by the following matrix interpretation 910.48/232.20 of type E_J with J = {1,...,2} and dimension 2: 910.48/232.20 910.48/232.20 0 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 1 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 2 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 3 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 1 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 4 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 5 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 910.48/232.20 Remains to prove termination of the 1-rule system 910.48/232.20 { 0 4 4 4 5 3 -> 0 1 0 3 0 0 2 5 0 0 } 910.48/232.20 910.48/232.20 910.48/232.20 The system was filtered by the following matrix interpretation 910.48/232.20 of type E_J with J = {1,...,2} and dimension 2: 910.48/232.20 910.48/232.20 0 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 1 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 2 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 3 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 4 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 1 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 5 is interpreted by 910.48/232.20 / \ 910.48/232.20 | 1 0 | 910.48/232.20 | 0 1 | 910.48/232.20 \ / 910.48/232.20 910.48/232.20 Remains to prove termination of the 0-rule system 910.48/232.20 { } 910.48/232.20 910.48/232.20 910.48/232.20 The system is trivially terminating. 910.62/232.29 EOF