7.64/2.20 YES 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 4: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 1 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 40-rule system 8.54/2.41 { 2 3 1 -> 3 4 2 1 , 8.54/2.41 0 1 3 1 -> 0 0 3 1 1 , 8.54/2.41 0 1 3 1 -> 3 0 2 1 1 1 , 8.54/2.41 0 1 4 1 -> 4 0 1 1 1 , 8.54/2.41 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 2 0 1 -> 0 0 2 4 1 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 2 3 1 3 -> 0 3 4 2 1 3 , 8.54/2.41 0 4 1 5 2 -> 0 4 2 5 1 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 1 -> 1 1 4 3 0 2 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 1 0 1 -> 0 3 2 1 1 5 , 8.54/2.41 2 3 1 4 1 -> 3 4 2 5 1 1 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 3 1 -> 5 3 4 3 2 1 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 39-rule system 8.54/2.41 { 2 3 1 -> 3 4 2 1 , 8.54/2.41 0 1 3 1 -> 0 0 3 1 1 , 8.54/2.41 0 1 3 1 -> 3 0 2 1 1 1 , 8.54/2.41 0 1 4 1 -> 4 0 1 1 1 , 8.54/2.41 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 2 0 1 -> 0 0 2 4 1 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 2 3 1 3 -> 0 3 4 2 1 3 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 1 -> 1 1 4 3 0 2 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 1 0 1 -> 0 3 2 1 1 5 , 8.54/2.41 2 3 1 4 1 -> 3 4 2 5 1 1 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 3 1 -> 5 3 4 3 2 1 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 36-rule system 8.54/2.41 { 2 3 1 -> 3 4 2 1 , 8.54/2.41 0 1 4 1 -> 4 0 1 1 1 , 8.54/2.41 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 2 0 1 -> 0 0 2 4 1 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 2 3 1 3 -> 0 3 4 2 1 3 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 1 0 1 -> 0 3 2 1 1 5 , 8.54/2.41 2 3 1 4 1 -> 3 4 2 5 1 1 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 3 1 -> 5 3 4 3 2 1 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 4: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 1 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 | 8.54/2.41 | 0 1 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 | 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 31-rule system 8.54/2.41 { 0 1 4 1 -> 4 0 1 1 1 , 8.54/2.41 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 2 0 1 -> 0 0 2 4 1 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 30-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 2 0 1 -> 0 0 2 4 1 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 29-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 2 4 5 2 -> 2 1 4 2 5 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 28-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 0 3 1 -> 0 3 4 0 1 1 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 27-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 4 5 1 -> 4 0 2 5 1 1 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 26-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 1 5 0 1 -> 0 0 1 5 5 1 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 25-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 2 3 5 1 2 -> 2 3 2 1 5 1 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 24-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 1 -> 5 0 3 1 1 1 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 1 5 -> 5 0 3 4 1 5 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 9: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 22-rule system 8.54/2.41 { 0 1 4 5 -> 0 4 1 1 5 , 8.54/2.41 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 21-rule system 8.54/2.41 { 0 5 3 2 -> 0 3 4 2 5 , 8.54/2.41 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 0 5 3 2 5 -> 0 4 3 5 2 5 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 9: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 19-rule system 8.54/2.41 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 4 3 2 -> 4 3 4 2 1 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 4 3 2 5 -> 3 4 2 4 1 5 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 17-rule system 8.54/2.41 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 5 3 1 -> 3 5 4 4 1 , 8.54/2.41 4 5 3 1 -> 4 3 1 5 1 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 15-rule system 8.54/2.41 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 4 5 3 2 -> 3 4 2 5 4 , 8.54/2.41 4 5 3 2 -> 3 5 4 2 1 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 \ / 8.54/2.41 3 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 4 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 5 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 | 8.54/2.41 | 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 8.54/2.41 Remains to prove termination of the 13-rule system 8.54/2.41 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.41 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.41 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.41 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.41 2 0 1 3 5 -> 2 5 1 1 0 3 , 8.54/2.41 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.41 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.41 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.41 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.41 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.41 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.41 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.41 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.41 8.54/2.41 8.54/2.41 The system was filtered by the following matrix interpretation 8.54/2.41 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.41 8.54/2.41 0 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 1 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 1 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 0 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 1 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 \ / 8.54/2.41 2 is interpreted by 8.54/2.41 / \ 8.54/2.41 | 1 0 1 0 0 0 | 8.54/2.41 | 0 1 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.41 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 1 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 12-rule system 8.54/2.42 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.42 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.42 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 2 3 5 1 -> 3 3 4 2 1 5 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.42 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.42 8.54/2.42 8.54/2.42 The system was filtered by the following matrix interpretation 8.54/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.42 8.54/2.42 0 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 1 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 2 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 1 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 1 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 1 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 1 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 11-rule system 8.54/2.42 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.42 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.42 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 0 3 3 1 -> 0 3 4 3 1 1 , 8.54/2.42 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.42 8.54/2.42 8.54/2.42 The system was filtered by the following matrix interpretation 8.54/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.42 8.54/2.42 0 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 1 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 1 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 2 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 1 0 | 8.54/2.42 | 0 0 0 0 0 1 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 1 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 10-rule system 8.54/2.42 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.42 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.42 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 5 0 5 2 -> 0 4 2 1 5 5 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.42 8.54/2.42 8.54/2.42 The system was filtered by the following matrix interpretation 8.54/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.42 8.54/2.42 0 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 1 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 1 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 2 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 1 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 1 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 1 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 9-rule system 8.54/2.42 { 2 3 2 0 -> 2 2 1 3 0 , 8.54/2.42 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.42 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.42 8.54/2.42 8.54/2.42 The system was filtered by the following matrix interpretation 8.54/2.42 of type E_J with J = {1,...,2} and dimension 5: 8.54/2.42 8.54/2.42 0 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 \ / 8.54/2.42 1 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 2 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 1 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 1 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 1 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 8-rule system 8.54/2.42 { 0 1 0 2 2 -> 0 0 2 1 4 2 , 8.54/2.42 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.54/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.54/2.42 8.54/2.42 8.54/2.42 The system was filtered by the following matrix interpretation 8.54/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.54/2.42 8.54/2.42 0 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 1 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 1 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 1 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 1 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 2 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 1 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 3 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 4 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 5 is interpreted by 8.54/2.42 / \ 8.54/2.42 | 1 0 0 0 0 0 | 8.54/2.42 | 0 1 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 | 0 0 0 0 0 0 | 8.54/2.42 \ / 8.54/2.42 8.54/2.42 Remains to prove termination of the 7-rule system 8.54/2.42 { 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.54/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.54/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.54/2.42 3 2 0 1 0 -> 3 2 1 5 0 0 , 8.54/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.54/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.70/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 6-rule system 8.70/2.42 { 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.70/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.70/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.70/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.70/2.42 4 5 2 5 2 -> 4 2 5 5 2 1 , 8.70/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 5-rule system 8.70/2.42 { 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.70/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.70/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.70/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 , 8.70/2.42 4 5 3 5 1 -> 4 5 5 4 3 1 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 4-rule system 8.70/2.42 { 0 5 1 3 2 -> 3 0 2 1 1 5 , 8.70/2.42 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.70/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.70/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 1 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 3-rule system 8.70/2.42 { 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.70/2.42 2 0 1 5 3 -> 2 1 1 3 0 5 , 8.70/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 2-rule system 8.70/2.42 { 0 5 2 0 4 -> 0 4 2 5 0 4 , 8.70/2.42 3 5 3 1 3 -> 3 5 4 3 1 3 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 1-rule system 8.70/2.42 { 0 5 2 0 4 -> 0 4 2 5 0 4 } 8.70/2.42 8.70/2.42 8.70/2.42 The system was filtered by the following matrix interpretation 8.70/2.42 of type E_J with J = {1,...,2} and dimension 6: 8.70/2.42 8.70/2.42 0 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 1 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 1 0 0 1 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 1 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 2 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 1 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 3 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 4 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 5 is interpreted by 8.70/2.42 / \ 8.70/2.42 | 1 0 0 0 0 0 | 8.70/2.42 | 0 1 0 0 0 0 | 8.70/2.42 | 0 0 0 1 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 | 0 0 0 0 0 0 | 8.70/2.42 \ / 8.70/2.42 8.70/2.42 Remains to prove termination of the 0-rule system 8.70/2.42 { } 8.70/2.42 8.70/2.42 8.70/2.42 The system is trivially terminating. 8.81/2.58 EOF