2.30/0.82 YES 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 2: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 16-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 0 1 0 0 5 5 5 0 -> 0 2 2 1 0 4 0 0 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 0 2 4 0 1 5 4 2 3 -> 2 2 0 3 4 0 0 3 3 , 2.77/0.92 1 5 1 3 0 5 2 0 0 -> 1 1 3 2 5 0 2 2 5 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 1 3 3 2 3 1 1 5 1 4 1 2 0 -> 1 3 5 5 4 4 4 5 5 3 2 4 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 0 5 0 0 4 2 0 0 3 4 4 0 5 0 4 1 2 0 -> 0 3 5 5 3 0 4 2 2 3 2 5 1 2 4 0 2 4 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 9: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 15-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 0 2 4 0 1 5 4 2 3 -> 2 2 0 3 4 0 0 3 3 , 2.77/0.92 1 5 1 3 0 5 2 0 0 -> 1 1 3 2 5 0 2 2 5 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 1 3 3 2 3 1 1 5 1 4 1 2 0 -> 1 3 5 5 4 4 4 5 5 3 2 4 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 0 5 0 0 4 2 0 0 3 4 4 0 5 0 4 1 2 0 -> 0 3 5 5 3 0 4 2 2 3 2 5 1 2 4 0 2 4 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 10: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 14-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 0 2 4 0 1 5 4 2 3 -> 2 2 0 3 4 0 0 3 3 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 1 3 3 2 3 1 1 5 1 4 1 2 0 -> 1 3 5 5 4 4 4 5 5 3 2 4 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 0 5 0 0 4 2 0 0 3 4 4 0 5 0 4 1 2 0 -> 0 3 5 5 3 0 4 2 2 3 2 5 1 2 4 0 2 4 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 14: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 13-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 0 2 4 0 1 5 4 2 3 -> 2 2 0 3 4 0 0 3 3 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 0 5 0 0 4 2 0 0 3 4 4 0 5 0 4 1 2 0 -> 0 3 5 5 3 0 4 2 2 3 2 5 1 2 4 0 2 4 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 19: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 12-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 0 2 4 0 1 5 4 2 3 -> 2 2 0 3 4 0 0 3 3 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 10: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 11-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 5 1 0 2 4 1 4 2 1 0 -> 1 3 5 1 2 4 0 3 2 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 11: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 10-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 3 1 2 0 2 4 1 4 4 4 2 3 3 2 4 0 0 -> 2 5 1 2 1 4 4 0 2 1 5 4 1 3 2 0 0 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 18: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 9-rule system 2.77/0.92 { 0 0 1 0 0 2 -> 0 0 2 3 4 4 , 2.77/0.92 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 1 5 1 0 2 1 1 -> 1 3 2 1 1 0 4 , 2.77/0.92 1 2 5 1 2 0 1 3 -> 1 4 2 5 4 3 5 3 , 2.77/0.92 2 2 1 0 0 0 5 2 2 4 1 1 1 -> 1 1 4 0 2 5 2 0 2 2 4 2 5 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 , 2.77/0.92 4 1 5 4 3 2 5 4 5 2 0 2 2 2 4 1 0 2 1 0 -> 4 5 5 2 3 2 0 4 2 0 1 4 0 4 3 1 3 2 0 0 , 2.77/0.92 2 0 4 1 2 2 3 5 3 5 3 4 4 1 5 3 0 5 1 0 2 -> 2 2 2 4 4 2 0 0 1 4 5 3 3 3 5 3 0 4 0 3 2 , 2.77/0.92 5 1 0 1 1 5 2 1 5 5 4 3 5 2 5 2 4 3 1 5 3 -> 1 1 0 3 4 5 4 3 2 2 5 4 0 1 4 3 0 2 5 0 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 2: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 2-rule system 2.77/0.92 { 3 2 4 4 1 3 -> 5 5 3 2 1 3 , 2.77/0.92 0 3 5 5 5 3 1 0 0 5 1 4 2 1 1 -> 0 3 5 2 1 0 1 2 1 3 2 4 5 2 1 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 2: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 1-rule system 2.77/0.92 { 3 2 4 4 1 3 -> 5 5 3 2 1 3 } 2.77/0.92 2.77/0.92 2.77/0.92 The system was filtered by the following matrix interpretation 2.77/0.92 of type E_J with J = {1,...,2} and dimension 2: 2.77/0.92 2.77/0.92 0 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 1 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 3 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 4 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 1 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 5 is interpreted by 2.77/0.92 / \ 2.77/0.92 | 1 0 | 2.77/0.92 | 0 1 | 2.77/0.92 \ / 2.77/0.92 2.77/0.92 Remains to prove termination of the 0-rule system 2.77/0.92 { } 2.77/0.92 2.77/0.92 2.77/0.92 The system is trivially terminating. 2.77/0.94 EOF