568.27/144.28 YES 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 7: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 1 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 | 568.86/144.45 | 0 0 0 0 1 0 1 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 58-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 3 0 3 3 -> 1 5 5 5 0 2 3 0 4 0 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 3 0 1 3 2 -> 1 5 4 5 2 3 4 2 3 0 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 , 568.86/144.45 1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 0 5 5 4 3 -> 3 2 5 0 4 0 4 2 2 1 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 , 568.86/144.45 2 3 3 0 1 3 4 ->= 4 4 3 0 5 0 3 0 4 4 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 10: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 1 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 1 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 1 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 1 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 1 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 55-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 , 568.86/144.45 1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 0 5 5 4 3 -> 3 2 5 0 4 0 4 2 2 1 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 1 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 0 0 0 0 0 0 1 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 54-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 , 568.86/144.45 1 3 3 1 3 5 5 -> 3 4 4 5 4 3 2 2 2 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 14: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 53-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 1 0 0 3 3 -> 1 1 1 1 2 3 0 4 5 0 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 14: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 52-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 1 1 4 5 5 5 -> 3 4 1 5 3 0 1 5 0 5 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 13: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 51-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 1 3 5 1 3 -> 2 1 2 3 2 1 5 4 4 3 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 12: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 568.86/144.45 Remains to prove termination of the 50-rule system 568.86/144.45 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.45 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.45 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.45 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.45 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.45 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.45 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.45 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.45 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.45 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.45 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.45 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.45 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.45 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.45 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.45 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.45 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.45 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.45 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.45 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.45 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.45 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.45 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.45 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.45 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.45 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.45 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.45 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.45 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.45 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.45 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.45 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.45 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.45 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.45 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.45 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.45 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.45 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.45 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.45 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.45 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.45 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.45 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.45 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.45 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.45 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.45 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.45 1 0 0 5 4 1 3 ->= 1 0 0 3 3 2 3 2 2 0 , 568.86/144.45 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.45 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.45 568.86/144.45 568.86/144.45 The system was filtered by the following matrix interpretation 568.86/144.45 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.45 568.86/144.45 0 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 1 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 1 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 1 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 1 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 2 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 5 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 1 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 3 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 0 1 1 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.45 \ / 568.86/144.45 4 is interpreted by 568.86/144.45 / \ 568.86/144.45 | 1 0 0 0 0 0 0 0 | 568.86/144.45 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 49-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.46 1 1 5 5 5 1 3 -> 4 2 1 1 2 3 2 1 5 5 , 568.86/144.46 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 14: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 48-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.46 1 3 3 3 5 1 0 -> 1 3 1 5 5 5 0 2 0 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 1 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 47-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 1 0 1 0 0 1 0 -> 1 5 0 3 0 5 2 3 4 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 1 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 46-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 3 4 1 1 0 -> 1 5 1 5 3 4 1 5 5 3 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 6: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 1 1 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 1 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 1 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 45-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 4 3 5 0 3 2 ->= 4 1 2 3 3 2 3 0 4 2 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 13: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 1 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 44-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 1 5 1 3 4 3 -> 3 1 5 3 1 1 5 3 0 4 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 13: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 43-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 1 2 0 0 4 1 -> 1 0 4 3 2 2 3 2 5 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 42-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 0 1 1 0 3 3 -> 5 3 1 3 3 2 3 0 2 2 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 1 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 41-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 1 0 1 1 2 -> 1 1 4 5 4 5 2 2 4 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 40-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 1 3 1 1 -> 1 1 2 5 1 2 2 3 2 2 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 7: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 1 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 39-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 1 0 3 2 1 1 -> 1 0 5 5 4 2 3 2 4 0 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 7: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 38-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 3 3 5 5 5 1 1 -> 1 4 3 3 2 5 2 5 0 0 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 8: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 1 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 1 1 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 37-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 4 4 0 2 0 -> 4 4 0 2 2 3 2 4 2 5 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.86/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.86/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.86/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.86/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.86/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.86/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.86/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.86/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.86/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.86/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.86/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.86/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.86/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.86/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.86/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.86/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.86/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.86/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.86/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.86/144.46 568.86/144.46 568.86/144.46 The system was filtered by the following matrix interpretation 568.86/144.46 of type E_J with J = {1,...,2} and dimension 6: 568.86/144.46 568.86/144.46 0 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 1 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 1 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 | 568.86/144.46 \ / 568.86/144.46 2 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 1 | 568.86/144.46 | 0 0 0 0 0 1 | 568.86/144.46 \ / 568.86/144.46 5 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 0 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 1 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 3 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 4 is interpreted by 568.86/144.46 / \ 568.86/144.46 | 1 0 1 0 0 0 | 568.86/144.46 | 0 1 0 0 0 0 | 568.86/144.46 | 0 0 0 1 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 | 0 0 0 0 0 0 | 568.86/144.46 \ / 568.86/144.46 568.86/144.46 Remains to prove termination of the 36-rule system 568.86/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.86/144.46 2 0 1 3 -> 2 0 2 2 1 2 3 2 5 4 , 568.86/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.86/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.86/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.86/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.86/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.86/144.46 2 0 1 3 3 -> 2 5 0 3 0 0 0 5 1 5 , 568.86/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.86/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.86/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.86/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.86/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.86/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.86/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.86/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.86/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.93/144.46 5 2 0 1 3 1 -> 4 2 2 3 2 3 5 5 5 1 , 568.93/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.93/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.93/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.46 568.93/144.46 568.93/144.46 The system was filtered by the following matrix interpretation 568.93/144.46 of type E_J with J = {1,...,2} and dimension 9: 568.93/144.46 568.93/144.46 0 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 1 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 1 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 1 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 2 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 1 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 1 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 1 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 5 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 3 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 1 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 4 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 568.93/144.46 Remains to prove termination of the 33-rule system 568.93/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.46 1 0 1 1 4 -> 4 5 0 0 2 3 0 0 5 4 , 568.93/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.93/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.93/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.93/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.93/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.46 568.93/144.46 568.93/144.46 The system was filtered by the following matrix interpretation 568.93/144.46 of type E_J with J = {1,...,2} and dimension 12: 568.93/144.46 568.93/144.46 0 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 1 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 2 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 5 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 3 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 4 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 568.93/144.46 Remains to prove termination of the 32-rule system 568.93/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.46 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.46 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.46 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.46 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.46 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.46 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.46 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.46 2 1 2 0 3 5 -> 0 0 3 0 5 2 4 2 4 2 , 568.93/144.46 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.46 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.46 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.46 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.46 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.46 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.93/144.46 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.46 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.46 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.46 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.46 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.46 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.46 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.93/144.46 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.46 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.46 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.46 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.46 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.46 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.46 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.46 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.46 2 0 1 1 0 3 5 ->= 2 4 4 1 5 0 5 5 4 2 , 568.93/144.46 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.46 568.93/144.46 568.93/144.46 The system was filtered by the following matrix interpretation 568.93/144.46 of type E_J with J = {1,...,2} and dimension 12: 568.93/144.46 568.93/144.46 0 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 1 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 2 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 1 0 0 0 1 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 5 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 1 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 3 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 1 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 4 is interpreted by 568.93/144.46 / \ 568.93/144.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.46 \ / 568.93/144.46 568.93/144.46 Remains to prove termination of the 30-rule system 568.93/144.46 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.47 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 2 1 0 3 5 3 -> 4 0 2 5 2 5 0 5 0 3 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 8: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 29-rule system 568.93/144.47 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.47 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 4 2 0 2 3 1 -> 4 0 5 3 2 5 0 2 3 0 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 7: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 28-rule system 568.93/144.47 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.47 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 2 4 3 3 4 1 3 -> 2 3 2 4 2 3 4 3 2 5 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 12: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 27-rule system 568.93/144.47 { 0 0 1 0 -> 0 2 2 5 0 5 0 3 2 0 , 568.93/144.47 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 9: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 1 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 26-rule system 568.93/144.47 { 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 0 0 3 3 2 0 -> 0 3 0 0 5 3 1 2 3 0 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 8: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 25-rule system 568.93/144.47 { 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 1 2 0 2 0 -> 1 0 2 5 0 2 1 5 3 2 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 12: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 24-rule system 568.93/144.47 { 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 3 3 0 3 4 -> 5 2 4 1 2 3 2 0 4 4 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 13: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 23-rule system 568.93/144.47 { 2 3 3 5 -> 2 3 2 2 5 4 2 3 4 3 , 568.93/144.47 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 5: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 1 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 22-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 2 5 4 1 4 3 -> 2 5 0 4 2 4 0 3 1 3 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 7: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 21-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 0 3 1 1 3 -> 0 5 1 5 3 2 0 2 1 0 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 6: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 | 568.93/144.47 | 0 1 1 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 20-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 0 2 1 3 1 4 5 -> 0 2 1 1 5 2 5 0 2 5 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 10: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 19-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 0 1 3 4 5 3 -> 0 5 3 0 0 0 2 3 2 5 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 7: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 18-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 1 1 3 4 4 3 -> 0 5 0 2 4 5 1 5 4 3 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 10: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 17-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 3 1 1 3 4 2 0 -> 1 5 0 1 5 3 3 5 0 5 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 14: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 16-rule system 568.93/144.47 { 0 1 0 0 3 -> 0 2 5 0 5 0 2 3 5 5 , 568.93/144.47 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 5 5 4 2 0 3 3 -> 4 0 5 3 0 3 0 4 2 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 6: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 1 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 14-rule system 568.93/144.47 { 2 2 1 1 0 -> 0 2 5 2 0 2 2 5 4 0 , 568.93/144.47 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 6: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 1 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 1 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 13-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 1 3 1 0 2 -> 1 3 1 5 2 5 0 0 2 2 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 1 0 2 ->= 1 0 1 5 4 2 3 0 3 0 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 10: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 11-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 2 2 3 3 1 0 1 -> 2 3 2 4 4 2 4 0 1 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 8: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 10-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 5 1 1 1 5 2 0 -> 2 1 2 1 4 5 1 5 2 0 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 8: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 9-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 4 3 3 3 3 2 1 -> 4 4 5 1 5 0 0 2 3 5 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 8: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 1 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 8-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 3 1 3 1 -> 3 0 4 5 1 2 3 0 3 5 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 7: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 7-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 3 5 1 3 4 ->= 3 5 1 4 2 3 0 2 2 1 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 6: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 1 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 1 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 1 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 0 0 0 0 0 | 568.93/144.47 | 0 1 0 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 6-rule system 568.93/144.47 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.47 3 4 4 0 0 1 -> 1 2 4 2 3 2 0 4 3 1 , 568.93/144.47 0 0 ->= 0 1 2 3 0 4 0 5 5 0 , 568.93/144.47 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.47 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.47 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.47 568.93/144.47 568.93/144.47 The system was filtered by the following matrix interpretation 568.93/144.47 of type E_J with J = {1,...,2} and dimension 3: 568.93/144.47 568.93/144.47 0 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 1 0 | 568.93/144.47 \ / 568.93/144.47 1 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 1 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 0 0 | 568.93/144.47 \ / 568.93/144.47 2 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 0 0 | 568.93/144.47 \ / 568.93/144.47 5 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 0 0 | 568.93/144.47 \ / 568.93/144.47 3 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 0 0 | 568.93/144.47 \ / 568.93/144.47 4 is interpreted by 568.93/144.47 / \ 568.93/144.47 | 1 0 0 | 568.93/144.47 | 0 1 0 | 568.93/144.47 | 0 0 0 | 568.93/144.47 \ / 568.93/144.47 568.93/144.47 Remains to prove termination of the 4-rule system 568.93/144.48 { 3 1 0 5 1 -> 4 2 3 0 0 5 3 3 2 4 , 568.93/144.48 2 1 ->= 2 3 0 3 2 3 2 3 0 1 , 568.93/144.48 2 1 ->= 2 3 2 3 0 3 2 4 2 3 , 568.93/144.48 2 2 1 2 5 2 3 ->= 2 4 3 3 2 3 0 5 2 3 } 568.93/144.48 568.93/144.48 568.93/144.48 The system was filtered by the following matrix interpretation 568.93/144.48 of type E_J with J = {1,...,2} and dimension 2: 568.93/144.48 568.93/144.48 0 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 0 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 1 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 1 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 2 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 0 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 5 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 0 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 3 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 0 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 4 is interpreted by 568.93/144.48 / \ 568.93/144.48 | 1 0 | 568.93/144.48 | 0 1 | 568.93/144.48 \ / 568.93/144.48 568.93/144.48 Remains to prove termination of the 1-rule system 568.93/144.48 { 2 1 ->= 2 3 0 3 2 3 2 3 0 1 } 568.93/144.48 568.93/144.48 568.93/144.48 The system is trivially terminating. 568.99/144.55 EOF