4.50/1.38 YES 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 4: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 0 1 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 1 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 31-rule system 4.86/1.47 { 0 3 2 -> 0 2 1 3 , 4.86/1.47 0 3 2 -> 0 2 1 1 3 , 4.86/1.47 0 3 2 -> 0 0 2 1 1 3 , 4.86/1.47 0 1 1 2 -> 0 2 1 1 3 , 4.86/1.47 0 1 3 2 -> 0 2 1 4 3 , 4.86/1.47 0 1 3 2 -> 3 3 0 2 1 , 4.86/1.47 0 1 3 2 -> 3 0 2 4 1 1 , 4.86/1.47 0 3 2 2 -> 0 0 2 3 2 , 4.86/1.47 0 3 2 2 -> 0 0 4 2 3 2 , 4.86/1.47 2 0 3 2 -> 1 3 0 2 2 , 4.86/1.47 3 0 3 2 -> 3 0 0 0 2 3 , 4.86/1.47 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 4 5 2 2 -> 2 5 0 2 4 1 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 0 3 2 -> 3 0 2 1 4 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 0 5 0 3 2 -> 0 5 0 0 2 3 , 4.86/1.47 0 5 5 2 2 -> 0 2 1 5 5 2 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 3 0 3 4 2 -> 1 3 4 0 2 3 , 4.86/1.47 4 5 1 4 2 -> 2 4 4 4 1 5 , 4.86/1.47 5 0 1 3 2 -> 3 5 0 2 1 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 0 3 2 -> 0 4 3 5 1 2 , 4.86/1.47 5 1 0 3 2 -> 5 3 1 1 0 2 , 4.86/1.47 5 1 0 5 2 -> 3 5 5 0 2 1 , 4.86/1.47 5 1 0 5 2 -> 5 0 2 1 5 5 , 4.86/1.47 5 2 0 3 2 -> 0 2 5 2 3 1 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 4: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 1 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 | 0 1 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 15-rule system 4.86/1.47 { 0 1 1 2 -> 0 2 1 1 3 , 4.86/1.47 0 1 3 2 -> 0 2 1 4 3 , 4.86/1.47 0 1 3 2 -> 3 3 0 2 1 , 4.86/1.47 0 1 3 2 -> 3 0 2 4 1 1 , 4.86/1.47 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 4 5 2 2 -> 2 5 0 2 4 1 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 4 5 1 4 2 -> 2 4 4 4 1 5 , 4.86/1.47 5 0 1 3 2 -> 3 5 0 2 1 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 14-rule system 4.86/1.47 { 0 1 3 2 -> 0 2 1 4 3 , 4.86/1.47 0 1 3 2 -> 3 3 0 2 1 , 4.86/1.47 0 1 3 2 -> 3 0 2 4 1 1 , 4.86/1.47 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 4 5 2 2 -> 2 5 0 2 4 1 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 4 5 1 4 2 -> 2 4 4 4 1 5 , 4.86/1.47 5 0 1 3 2 -> 3 5 0 2 1 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 10-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 4 5 2 2 -> 2 5 0 2 4 1 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 4 5 1 4 2 -> 2 4 4 4 1 5 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 9-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 4 5 1 4 2 -> 2 4 4 4 1 5 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 6: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 1 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 1 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 8-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 , 4.86/1.47 5 0 4 2 2 -> 2 0 2 4 1 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 6: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 1 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 1 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 7-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 5 0 2 2 -> 2 0 2 4 1 5 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 6-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 , 4.86/1.47 5 0 3 1 2 -> 0 2 1 4 3 5 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 6: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 1 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 5-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 5 1 2 2 -> 0 2 1 5 2 1 , 4.86/1.47 5 1 2 2 -> 2 1 5 2 1 1 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 3-rule system 4.86/1.47 { 3 1 5 2 -> 0 2 1 5 3 , 4.86/1.47 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 2-rule system 4.86/1.47 { 3 3 5 2 -> 3 0 2 1 5 3 , 4.86/1.47 3 0 3 1 2 -> 1 3 3 0 2 3 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 5: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 1 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 1-rule system 4.86/1.47 { 3 0 3 1 2 -> 1 3 3 0 2 3 } 4.86/1.47 4.86/1.47 4.86/1.47 The system was filtered by the following matrix interpretation 4.86/1.47 of type E_J with J = {1,...,2} and dimension 6: 4.86/1.47 4.86/1.47 0 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 1 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 1 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 1 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 2 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 3 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 1 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 1 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 5 is interpreted by 4.86/1.47 / \ 4.86/1.47 | 1 0 0 0 0 0 | 4.86/1.47 | 0 1 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 | 0 0 0 0 0 0 | 4.86/1.47 \ / 4.86/1.47 4.86/1.47 Remains to prove termination of the 0-rule system 4.86/1.47 { } 4.86/1.47 4.86/1.47 4.86/1.47 The system is trivially terminating. 5.03/1.50 EOF