5.17/1.57 YES 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 5: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 51-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 1 4 1 0 -> 0 1 1 4 0 2 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 1 3 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 3 1 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 5 1 0 , 5.74/1.68 0 3 0 1 0 -> 2 0 0 3 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.68 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.68 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.68 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.68 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.68 3 2 0 1 0 -> 0 2 3 1 5 0 , 5.74/1.68 3 2 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 0 3 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 3 0 0 , 5.74/1.68 3 4 0 1 0 -> 0 2 4 1 3 0 , 5.74/1.68 3 4 0 1 0 -> 3 1 4 0 0 2 , 5.74/1.68 3 4 0 1 0 -> 3 2 0 4 1 0 , 5.74/1.68 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 1 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 50-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 1 3 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 3 1 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 5 1 0 , 5.74/1.68 0 3 0 1 0 -> 2 0 0 3 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.68 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.68 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.68 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.68 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.68 3 2 0 1 0 -> 0 2 3 1 5 0 , 5.74/1.68 3 2 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 0 3 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 3 0 0 , 5.74/1.68 3 4 0 1 0 -> 0 2 4 1 3 0 , 5.74/1.68 3 4 0 1 0 -> 3 1 4 0 0 2 , 5.74/1.68 3 4 0 1 0 -> 3 2 0 4 1 0 , 5.74/1.68 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 1 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 48-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 1 3 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 3 1 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 5 1 0 , 5.74/1.68 0 3 0 1 0 -> 2 0 0 3 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.68 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.68 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.68 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.68 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 0 3 0 , 5.74/1.68 3 3 0 1 0 -> 3 1 2 3 0 0 , 5.74/1.68 3 4 0 1 0 -> 0 2 4 1 3 0 , 5.74/1.68 3 4 0 1 0 -> 3 1 4 0 0 2 , 5.74/1.68 3 4 0 1 0 -> 3 2 0 4 1 0 , 5.74/1.68 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 1 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 46-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 1 3 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 3 1 0 , 5.74/1.68 0 3 0 1 0 -> 0 0 3 5 1 0 , 5.74/1.68 0 3 0 1 0 -> 2 0 0 3 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.68 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.68 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.68 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.68 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.68 3 4 0 1 0 -> 0 2 4 1 3 0 , 5.74/1.68 3 4 0 1 0 -> 3 1 4 0 0 2 , 5.74/1.68 3 4 0 1 0 -> 3 2 0 4 1 0 , 5.74/1.68 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 1 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 42-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.68 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.68 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.68 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.68 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.68 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.68 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.68 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.68 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.68 3 4 0 1 0 -> 0 2 4 1 3 0 , 5.74/1.68 3 4 0 1 0 -> 3 1 4 0 0 2 , 5.74/1.68 3 4 0 1 0 -> 3 2 0 4 1 0 , 5.74/1.68 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.68 5.74/1.68 5.74/1.68 The system was filtered by the following matrix interpretation 5.74/1.68 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.68 5.74/1.68 0 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 1 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 1 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 1 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 2 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 3 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 1 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 4 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 1 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5 is interpreted by 5.74/1.68 / \ 5.74/1.68 | 1 0 0 0 0 0 | 5.74/1.68 | 0 1 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 | 0 0 0 0 0 0 | 5.74/1.68 \ / 5.74/1.68 5.74/1.68 Remains to prove termination of the 39-rule system 5.74/1.68 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.68 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.68 3 0 1 0 -> 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 1 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 5 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 0 2 3 1 0 , 5.74/1.68 3 0 1 0 -> 2 2 0 3 1 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 0 2 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 2 0 0 , 5.74/1.68 3 0 1 0 -> 3 1 5 5 0 0 , 5.74/1.68 3 0 1 0 -> 3 2 2 1 0 0 , 5.74/1.68 3 0 1 0 -> 3 5 1 0 0 2 , 5.74/1.68 3 0 1 0 -> 3 5 1 5 0 0 , 5.74/1.68 3 0 1 0 -> 5 1 1 3 0 0 , 5.74/1.68 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.68 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.68 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.68 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.69 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.69 3 0 1 0 0 -> 3 1 3 0 0 0 , 5.74/1.69 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.69 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 5: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 20-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 0 2 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 2 0 1 0 -> 2 0 0 0 3 1 , 5.74/1.69 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.69 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.69 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.69 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.69 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 18-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.69 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.69 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.69 3 0 1 1 0 -> 3 1 0 1 2 0 , 5.74/1.69 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 17-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.69 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.69 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.69 3 0 2 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 0 2 1 0 -> 2 3 1 5 0 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 1 0 , 5.74/1.69 3 0 2 1 0 -> 3 1 2 0 5 0 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 13-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 0 5 0 1 0 -> 0 0 0 1 5 2 , 5.74/1.69 0 5 0 1 0 -> 0 0 1 5 1 0 , 5.74/1.69 0 5 0 1 0 -> 0 2 0 0 1 5 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 10-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 3 0 5 1 0 -> 3 1 5 2 0 0 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 9-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 , 5.74/1.69 3 4 4 1 0 -> 3 1 1 4 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 8-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 0 3 1 , 5.74/1.69 0 0 1 0 -> 0 2 0 4 1 0 , 5.74/1.69 0 0 1 0 -> 2 0 0 0 2 1 , 5.74/1.69 3 1 0 1 0 -> 2 0 3 1 1 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 1 1 0 0 , 5.74/1.69 3 1 0 1 0 -> 3 1 2 1 0 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 2 1 4 0 , 5.74/1.69 3 1 4 1 0 -> 3 1 5 1 4 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 6: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 1 1 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 1 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 1-rule system 5.74/1.69 { 0 0 1 0 -> 0 2 0 4 1 0 } 5.74/1.69 5.74/1.69 5.74/1.69 The system was filtered by the following matrix interpretation 5.74/1.69 of type E_J with J = {1,...,2} and dimension 5: 5.74/1.69 5.74/1.69 0 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 1 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 1 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 \ / 5.74/1.69 1 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 1 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 2 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 3 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 4 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5 is interpreted by 5.74/1.69 / \ 5.74/1.69 | 1 0 0 0 0 | 5.74/1.69 | 0 1 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 | 0 0 0 0 0 | 5.74/1.69 \ / 5.74/1.69 5.74/1.69 Remains to prove termination of the 0-rule system 5.74/1.69 { } 5.74/1.69 5.74/1.69 5.74/1.69 The system is trivially terminating. 5.74/1.71 EOF