16.29/4.41 YES 16.45/4.46 16.45/4.46 16.45/4.46 The system was filtered by the following matrix interpretation 16.45/4.46 of type E_J with J = {1,...,2} and dimension 6: 16.45/4.46 16.45/4.46 0 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 1 0 0 0 | 16.45/4.46 | 0 1 0 0 0 1 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 1 0 0 | 16.45/4.46 \ / 16.45/4.46 1 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 2 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 1 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 3 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 1 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 4 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 5 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 1 0 1 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 16.45/4.46 Remains to prove termination of the 40-rule system 16.45/4.46 { 0 0 -> 0 1 0 2 , 16.45/4.46 0 0 -> 1 0 2 0 , 16.45/4.46 0 0 -> 1 0 1 0 1 , 16.45/4.46 0 0 -> 1 0 1 2 0 , 16.45/4.46 0 0 -> 1 0 2 0 3 , 16.45/4.46 0 0 -> 1 0 2 2 0 , 16.45/4.46 0 0 -> 2 1 0 2 0 , 16.45/4.46 0 0 -> 0 1 0 2 1 2 , 16.45/4.46 0 0 -> 1 0 1 0 2 2 , 16.45/4.46 0 0 -> 1 0 1 3 0 1 , 16.45/4.46 0 0 -> 1 0 4 1 0 2 , 16.45/4.46 0 0 -> 1 1 1 0 2 0 , 16.45/4.46 0 0 -> 3 0 4 0 2 2 , 16.45/4.46 0 0 -> 3 1 0 1 0 4 , 16.45/4.46 0 0 0 -> 0 1 0 4 0 4 , 16.45/4.46 0 0 0 -> 3 0 0 1 0 2 , 16.45/4.46 3 0 0 -> 3 0 2 0 3 , 16.45/4.46 3 0 0 -> 3 0 2 4 0 2 , 16.45/4.46 5 2 0 -> 0 2 3 5 , 16.45/4.46 5 2 0 -> 3 5 0 2 , 16.45/4.46 5 2 0 -> 0 2 3 3 5 , 16.45/4.46 5 2 0 -> 1 0 2 3 5 , 16.45/4.46 5 2 0 -> 5 1 0 2 4 , 16.45/4.46 5 2 0 -> 5 0 1 2 2 2 , 16.45/4.46 5 2 0 -> 5 3 5 1 0 2 , 16.45/4.46 3 4 0 0 -> 0 3 3 0 4 5 , 16.45/4.46 3 4 0 0 -> 3 0 4 5 3 0 , 16.45/4.46 5 1 0 0 -> 0 3 1 0 1 5 , 16.45/4.46 5 1 4 0 -> 0 1 5 2 4 , 16.45/4.46 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.46 5 2 2 0 -> 0 2 1 2 4 5 , 16.45/4.46 5 4 0 0 -> 0 4 5 5 0 2 , 16.45/4.46 5 4 2 0 -> 2 4 3 5 0 , 16.45/4.46 5 4 2 0 -> 5 0 2 2 4 , 16.45/4.46 5 4 2 0 -> 5 4 5 0 2 , 16.45/4.46 0 3 5 2 0 -> 3 0 2 5 3 0 , 16.45/4.46 3 3 5 2 0 -> 3 5 2 3 0 2 , 16.45/4.46 3 3 5 2 0 -> 4 3 3 5 0 2 , 16.45/4.46 5 1 4 0 0 -> 0 2 5 0 1 4 , 16.45/4.46 5 4 3 0 0 -> 1 0 4 0 3 5 } 16.45/4.46 16.45/4.46 16.45/4.46 The system was filtered by the following matrix interpretation 16.45/4.46 of type E_J with J = {1,...,2} and dimension 6: 16.45/4.46 16.45/4.46 0 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 1 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 1 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 1 0 0 0 | 16.45/4.46 \ / 16.45/4.46 1 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 2 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 3 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 1 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 1 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 4 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 1 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 5 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 | 0 1 0 0 0 0 | 16.45/4.46 | 0 0 0 0 0 0 | 16.45/4.46 \ / 16.45/4.46 16.45/4.46 Remains to prove termination of the 38-rule system 16.45/4.46 { 0 0 -> 0 1 0 2 , 16.45/4.46 0 0 -> 1 0 2 0 , 16.45/4.46 0 0 -> 1 0 1 0 1 , 16.45/4.46 0 0 -> 1 0 1 2 0 , 16.45/4.46 0 0 -> 1 0 2 0 3 , 16.45/4.46 0 0 -> 1 0 2 2 0 , 16.45/4.46 0 0 -> 2 1 0 2 0 , 16.45/4.46 0 0 -> 0 1 0 2 1 2 , 16.45/4.46 0 0 -> 1 0 1 0 2 2 , 16.45/4.46 0 0 -> 1 0 1 3 0 1 , 16.45/4.46 0 0 -> 1 0 4 1 0 2 , 16.45/4.46 0 0 -> 1 1 1 0 2 0 , 16.45/4.46 0 0 -> 3 0 4 0 2 2 , 16.45/4.46 0 0 -> 3 1 0 1 0 4 , 16.45/4.46 0 0 0 -> 0 1 0 4 0 4 , 16.45/4.46 0 0 0 -> 3 0 0 1 0 2 , 16.45/4.46 3 0 0 -> 3 0 2 0 3 , 16.45/4.46 3 0 0 -> 3 0 2 4 0 2 , 16.45/4.46 5 2 0 -> 0 2 3 5 , 16.45/4.46 5 2 0 -> 3 5 0 2 , 16.45/4.46 5 2 0 -> 0 2 3 3 5 , 16.45/4.46 5 2 0 -> 1 0 2 3 5 , 16.45/4.46 5 2 0 -> 5 1 0 2 4 , 16.45/4.46 5 2 0 -> 5 0 1 2 2 2 , 16.45/4.46 5 2 0 -> 5 3 5 1 0 2 , 16.45/4.46 5 1 0 0 -> 0 3 1 0 1 5 , 16.45/4.46 5 1 4 0 -> 0 1 5 2 4 , 16.45/4.46 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.46 5 2 2 0 -> 0 2 1 2 4 5 , 16.45/4.46 5 4 0 0 -> 0 4 5 5 0 2 , 16.45/4.46 5 4 2 0 -> 2 4 3 5 0 , 16.45/4.46 5 4 2 0 -> 5 0 2 2 4 , 16.45/4.46 5 4 2 0 -> 5 4 5 0 2 , 16.45/4.46 0 3 5 2 0 -> 3 0 2 5 3 0 , 16.45/4.46 3 3 5 2 0 -> 3 5 2 3 0 2 , 16.45/4.46 3 3 5 2 0 -> 4 3 3 5 0 2 , 16.45/4.46 5 1 4 0 0 -> 0 2 5 0 1 4 , 16.45/4.46 5 4 3 0 0 -> 1 0 4 0 3 5 } 16.45/4.46 16.45/4.46 16.45/4.46 The system was filtered by the following matrix interpretation 16.45/4.46 of type E_J with J = {1,...,2} and dimension 3: 16.45/4.46 16.45/4.46 0 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 1 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 \ / 16.45/4.46 1 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 0 0 | 16.45/4.46 \ / 16.45/4.46 2 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 0 0 | 16.45/4.46 \ / 16.45/4.46 3 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 0 0 | 16.45/4.46 \ / 16.45/4.46 4 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 0 0 | 16.45/4.46 \ / 16.45/4.46 5 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 | 0 1 0 | 16.45/4.46 \ / 16.45/4.46 16.45/4.46 Remains to prove termination of the 16-rule system 16.45/4.46 { 5 2 0 -> 0 2 3 5 , 16.45/4.46 5 2 0 -> 3 5 0 2 , 16.45/4.46 5 2 0 -> 0 2 3 3 5 , 16.45/4.46 5 2 0 -> 1 0 2 3 5 , 16.45/4.46 5 2 0 -> 5 1 0 2 4 , 16.45/4.46 5 2 0 -> 5 0 1 2 2 2 , 16.45/4.46 5 2 0 -> 5 3 5 1 0 2 , 16.45/4.46 5 1 4 0 -> 0 1 5 2 4 , 16.45/4.46 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.46 5 2 2 0 -> 0 2 1 2 4 5 , 16.45/4.46 5 4 2 0 -> 2 4 3 5 0 , 16.45/4.46 5 4 2 0 -> 5 0 2 2 4 , 16.45/4.46 5 4 2 0 -> 5 4 5 0 2 , 16.45/4.46 0 3 5 2 0 -> 3 0 2 5 3 0 , 16.45/4.46 3 3 5 2 0 -> 3 5 2 3 0 2 , 16.45/4.46 3 3 5 2 0 -> 4 3 3 5 0 2 } 16.45/4.46 16.45/4.46 16.45/4.46 The system was filtered by the following matrix interpretation 16.45/4.46 of type E_J with J = {1,...,2} and dimension 4: 16.45/4.46 16.45/4.46 0 is interpreted by 16.45/4.46 / \ 16.45/4.46 | 1 0 1 1 | 16.45/4.46 | 0 1 0 0 | 16.45/4.46 | 0 0 0 0 | 16.45/4.47 | 0 1 1 0 | 16.45/4.47 \ / 16.45/4.47 1 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 2 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 | 0 0 0 1 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 3 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 4 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 5 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 | 0 0 0 0 | 16.45/4.47 | 0 1 0 0 | 16.45/4.47 \ / 16.45/4.47 16.45/4.47 Remains to prove termination of the 6-rule system 16.45/4.47 { 5 1 4 0 -> 0 1 5 2 4 , 16.45/4.47 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.47 5 4 2 0 -> 2 4 3 5 0 , 16.45/4.47 5 4 2 0 -> 5 0 2 2 4 , 16.45/4.47 5 4 2 0 -> 5 4 5 0 2 , 16.45/4.47 0 3 5 2 0 -> 3 0 2 5 3 0 } 16.45/4.47 16.45/4.47 16.45/4.47 The system was filtered by the following matrix interpretation 16.45/4.47 of type E_J with J = {1,...,2} and dimension 5: 16.45/4.47 16.45/4.47 0 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 \ / 16.45/4.47 1 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 1 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 2 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 3 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 4 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 1 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 5 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 \ / 16.45/4.47 16.45/4.47 Remains to prove termination of the 5-rule system 16.45/4.47 { 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.47 5 4 2 0 -> 2 4 3 5 0 , 16.45/4.47 5 4 2 0 -> 5 0 2 2 4 , 16.45/4.47 5 4 2 0 -> 5 4 5 0 2 , 16.45/4.47 0 3 5 2 0 -> 3 0 2 5 3 0 } 16.45/4.47 16.45/4.47 16.45/4.47 The system was filtered by the following matrix interpretation 16.45/4.47 of type E_J with J = {1,...,2} and dimension 5: 16.45/4.47 16.45/4.47 0 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 \ / 16.45/4.47 1 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 2 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 1 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 3 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 4 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 1 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 5 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 16.45/4.47 Remains to prove termination of the 2-rule system 16.45/4.47 { 5 1 5 0 -> 5 1 0 3 5 , 16.45/4.47 0 3 5 2 0 -> 3 0 2 5 3 0 } 16.45/4.47 16.45/4.47 16.45/4.47 The system was filtered by the following matrix interpretation 16.45/4.47 of type E_J with J = {1,...,2} and dimension 5: 16.45/4.47 16.45/4.47 0 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 \ / 16.45/4.47 1 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 1 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 2 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 3 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 4 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 5 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 | 16.45/4.47 | 0 1 0 0 0 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 1 | 16.45/4.47 | 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 16.45/4.47 Remains to prove termination of the 1-rule system 16.45/4.47 { 0 3 5 2 0 -> 3 0 2 5 3 0 } 16.45/4.47 16.45/4.47 16.45/4.47 The system was filtered by the following matrix interpretation 16.45/4.47 of type E_J with J = {1,...,2} and dimension 6: 16.45/4.47 16.45/4.47 0 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 1 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 1 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 2 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 1 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 3 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 1 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 4 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 5 is interpreted by 16.45/4.47 / \ 16.45/4.47 | 1 0 0 0 0 0 | 16.45/4.47 | 0 1 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 1 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 | 0 0 0 0 0 0 | 16.45/4.47 \ / 16.45/4.47 16.45/4.47 Remains to prove termination of the 0-rule system 16.45/4.47 { } 16.45/4.47 16.45/4.47 16.45/4.47 The system is trivially terminating. 16.45/4.52 EOF