12.09/3.32 YES 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 8: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 1 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 1 0 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 38-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 1 4 -> 0 1 3 4 , 12.46/3.42 0 1 4 -> 1 3 4 2 0 , 12.46/3.42 0 1 4 -> 1 5 3 4 0 , 12.46/3.42 0 1 4 -> 3 1 3 4 0 , 12.46/3.42 0 1 4 -> 1 1 5 3 4 0 , 12.46/3.42 0 1 4 -> 1 2 3 4 3 0 , 12.46/3.42 0 1 4 -> 1 3 3 4 4 0 , 12.46/3.42 0 1 4 -> 1 3 4 5 0 5 , 12.46/3.42 0 1 4 -> 3 4 5 5 0 1 , 12.46/3.42 1 2 4 -> 1 2 3 4 1 , 12.46/3.42 1 2 4 -> 5 3 4 1 2 , 12.46/3.42 1 2 4 -> 1 5 2 3 4 3 , 12.46/3.42 1 2 4 -> 2 3 3 4 5 1 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 0 2 4 -> 0 4 3 0 2 , 12.46/3.42 0 1 1 5 -> 0 1 3 5 1 2 , 12.46/3.42 0 1 2 4 -> 0 1 2 3 3 4 , 12.46/3.42 0 1 4 5 -> 3 4 0 5 1 , 12.46/3.42 0 1 4 5 -> 3 4 5 3 0 1 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 0 5 1 4 -> 0 0 3 5 4 1 , 12.46/3.42 1 0 1 4 -> 3 4 0 1 2 1 , 12.46/3.42 1 1 2 4 -> 1 3 4 1 2 , 12.46/3.42 1 2 2 4 -> 2 2 2 3 4 1 , 12.46/3.42 1 2 4 2 -> 1 2 3 4 2 3 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 0 1 4 -> 3 4 0 5 3 1 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 0 1 1 5 4 -> 0 0 5 4 1 1 , 12.46/3.42 1 0 0 2 4 -> 0 2 0 4 4 1 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 , 12.46/3.42 1 5 3 0 4 -> 5 1 3 4 0 4 , 12.46/3.42 5 3 2 4 2 -> 2 1 5 3 4 2 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 5: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 1 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 1 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 1 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 1 1 1 1 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 14-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 1 4 -> 1 3 3 4 4 0 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 1 1 5 -> 0 1 3 5 1 2 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 0 2 4 -> 0 2 0 4 4 1 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 , 12.46/3.42 1 5 3 0 4 -> 5 1 3 4 0 4 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 6: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 13-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 1 4 -> 1 3 3 4 4 0 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 1 1 5 -> 0 1 3 5 1 2 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 0 2 4 -> 0 2 0 4 4 1 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 10: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 1 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 1 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 1 0 0 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 12-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 1 4 -> 1 3 3 4 4 0 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 1 1 5 -> 0 1 3 5 1 2 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 4: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 1 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 11-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 1 1 5 -> 0 1 3 5 1 2 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 5: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 10-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 5 2 1 -> 1 2 2 3 5 4 , 12.46/3.42 5 2 1 -> 1 3 2 5 3 4 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 1 5 2 1 -> 1 0 3 5 1 2 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 4: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 1 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 1 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 1 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 7-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 , 12.46/3.42 1 2 5 0 1 -> 2 3 5 1 0 1 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 6: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 1 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 6-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 , 12.46/3.42 1 0 4 2 1 -> 1 2 3 4 1 0 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 6: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 1 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 1 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 5-rule system 12.46/3.42 { 0 1 1 -> 0 1 2 3 4 1 , 12.46/3.42 0 1 1 -> 1 3 1 3 4 0 , 12.46/3.42 0 1 1 -> 5 1 3 0 3 1 , 12.46/3.42 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 4: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 1 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 | 12.46/3.42 | 0 1 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 | 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 2-rule system 12.46/3.42 { 0 4 2 1 -> 0 4 1 2 3 4 , 12.46/3.42 5 2 5 1 -> 3 5 1 5 2 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 5: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 1-rule system 12.46/3.42 { 5 2 5 1 -> 3 5 1 5 2 } 12.46/3.42 12.46/3.42 12.46/3.42 The system was filtered by the following matrix interpretation 12.46/3.42 of type E_J with J = {1,...,2} and dimension 5: 12.46/3.42 12.46/3.42 0 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 1 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 1 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 \ / 12.46/3.42 2 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 1 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 3 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 4 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 0 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 5 is interpreted by 12.46/3.42 / \ 12.46/3.42 | 1 0 1 0 0 | 12.46/3.42 | 0 1 0 0 0 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 | 0 0 0 0 1 | 12.46/3.42 | 0 0 0 0 0 | 12.46/3.42 \ / 12.46/3.42 12.46/3.42 Remains to prove termination of the 0-rule system 12.46/3.42 { } 12.46/3.42 12.46/3.42 12.46/3.42 The system is trivially terminating. 12.46/3.47 EOF