2.46/0.87 YES 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 7: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 15-rule system 2.72/0.95 { 1 3 3 -> 3 5 3 2 5 0 2 4 5 4 , 2.72/0.95 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 2 3 3 3 -> 4 1 1 2 3 5 0 4 0 5 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 1 1 3 3 5 3 1 -> 3 5 0 5 3 2 5 0 0 1 , 2.72/0.95 3 5 2 0 1 3 3 -> 3 4 3 2 3 2 4 4 5 5 , 2.72/0.95 4 1 4 2 4 0 1 -> 5 2 2 1 0 5 5 4 5 1 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 , 2.72/0.95 5 1 4 5 3 3 3 -> 5 1 4 5 3 4 4 2 3 2 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 8: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 1 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 14-rule system 2.72/0.95 { 1 3 3 -> 3 5 3 2 5 0 2 4 5 4 , 2.72/0.95 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 2 3 3 3 -> 4 1 1 2 3 5 0 4 0 5 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 3 5 2 0 1 3 3 -> 3 4 3 2 3 2 4 4 5 5 , 2.72/0.95 4 1 4 2 4 0 1 -> 5 2 2 1 0 5 5 4 5 1 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 , 2.72/0.95 5 1 4 5 3 3 3 -> 5 1 4 5 3 4 4 2 3 2 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 4: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 1 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 | 2.72/0.95 | 0 1 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 | 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 12-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 2 3 3 3 -> 4 1 1 2 3 5 0 4 0 5 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 1 4 2 4 0 1 -> 5 2 2 1 0 5 5 4 5 1 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 , 2.72/0.95 5 1 4 5 3 3 3 -> 5 1 4 5 3 4 4 2 3 2 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 6: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 1 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 11-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 1 4 2 4 0 1 -> 5 2 2 1 0 5 5 4 5 1 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 , 2.72/0.95 5 1 4 5 3 3 3 -> 5 1 4 5 3 4 4 2 3 2 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 8: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 1 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 10-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 , 2.72/0.95 5 1 4 5 3 3 3 -> 5 1 4 5 3 4 4 2 3 2 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 8: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 1 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 9-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 0 1 3 4 0 -> 2 2 3 0 0 0 5 0 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 7: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 1 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 8-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 1 4 4 2 2 -> 1 1 2 0 1 1 1 0 2 2 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 6: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 7-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 4 1 4 4 4 1 -> 4 1 0 3 3 5 5 5 4 1 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 7: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 1 | 2.72/0.95 | 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 6-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 , 2.72/0.95 4 5 1 2 4 4 4 -> 4 1 1 4 5 3 0 1 0 4 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 8: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 1 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 1 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 0 0 0 1 | 2.72/0.95 | 0 1 0 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 5-rule system 2.72/0.95 { 0 3 3 3 -> 5 4 3 5 3 0 5 4 4 0 , 2.72/0.95 0 3 3 3 1 -> 5 4 4 0 3 1 0 5 1 0 , 2.72/0.95 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 5: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 1 0 | 2.72/0.95 | 0 0 0 0 1 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 1 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 0 0 0 | 2.72/0.95 | 0 1 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 | 0 0 0 0 0 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 3-rule system 2.72/0.95 { 0 3 3 1 4 3 -> 4 4 3 0 2 3 0 3 0 0 , 2.72/0.95 0 1 3 5 2 2 3 -> 0 3 0 0 5 0 0 4 4 3 , 2.72/0.95 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 2: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 1 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 1-rule system 2.72/0.95 { 0 2 3 1 3 2 5 -> 0 4 3 1 2 3 2 3 2 0 } 2.72/0.95 2.72/0.95 2.72/0.95 The system was filtered by the following matrix interpretation 2.72/0.95 of type E_J with J = {1,...,2} and dimension 2: 2.72/0.95 2.72/0.95 1 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 3 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 5 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 1 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 2 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 0 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 4 is interpreted by 2.72/0.95 / \ 2.72/0.95 | 1 0 | 2.72/0.95 | 0 1 | 2.72/0.95 \ / 2.72/0.95 2.72/0.95 Remains to prove termination of the 0-rule system 2.72/0.95 { } 2.72/0.95 2.72/0.95 2.72/0.95 The system is trivially terminating. 2.99/0.98 EOF