8.33/2.37 YES 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 1 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 1 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 1 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 1 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 47-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 0 4 1 -> 0 4 2 2 1 , 9.24/2.61 0 4 1 -> 0 2 3 1 4 2 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 1 4 1 -> 4 2 1 1 , 9.24/2.61 1 4 1 -> 4 2 1 1 2 1 , 9.24/2.61 4 0 1 -> 4 0 2 1 , 9.24/2.61 5 0 1 -> 5 0 2 1 , 9.24/2.61 5 0 1 -> 0 2 1 5 3 , 9.24/2.61 5 0 1 -> 0 3 2 1 5 5 , 9.24/2.61 5 0 1 -> 3 0 2 3 5 1 , 9.24/2.61 5 0 5 -> 0 3 2 5 3 5 , 9.24/2.61 5 4 1 -> 2 4 2 5 1 3 , 9.24/2.61 5 4 1 -> 4 5 2 1 3 3 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 4 0 5 1 -> 0 2 4 2 1 5 , 9.24/2.61 4 1 0 0 -> 3 2 1 4 0 0 , 9.24/2.61 4 1 0 4 -> 4 4 0 2 1 , 9.24/2.61 5 0 0 1 -> 0 3 2 5 1 0 , 9.24/2.61 5 0 3 1 -> 0 5 3 2 1 , 9.24/2.61 5 0 3 1 -> 0 3 5 2 2 1 , 9.24/2.61 5 0 5 1 -> 5 2 5 3 1 0 , 9.24/2.61 5 2 4 1 -> 2 1 4 2 5 , 9.24/2.61 5 4 3 1 -> 5 4 2 1 3 , 9.24/2.61 5 4 3 1 -> 3 5 2 4 2 1 , 9.24/2.61 5 4 3 1 -> 5 2 4 3 2 1 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 0 2 4 3 1 -> 0 2 3 1 4 2 , 9.24/2.61 0 5 4 1 1 -> 4 0 2 5 1 1 , 9.24/2.61 1 2 4 3 1 -> 1 2 3 3 1 4 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 1 0 0 | 9.24/2.61 | 0 0 1 0 0 | 9.24/2.61 | 0 1 0 1 1 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 1 1 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 28-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 5 0 1 -> 5 0 2 1 , 9.24/2.61 5 0 1 -> 0 2 1 5 3 , 9.24/2.61 5 0 1 -> 0 3 2 1 5 5 , 9.24/2.61 5 0 1 -> 3 0 2 3 5 1 , 9.24/2.61 5 0 5 -> 0 3 2 5 3 5 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 4 0 5 1 -> 0 2 4 2 1 5 , 9.24/2.61 5 0 5 1 -> 5 2 5 3 1 0 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 1 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 27-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 5 0 1 -> 5 0 2 1 , 9.24/2.61 5 0 1 -> 0 2 1 5 3 , 9.24/2.61 5 0 1 -> 0 3 2 1 5 5 , 9.24/2.61 5 0 1 -> 3 0 2 3 5 1 , 9.24/2.61 5 0 5 -> 0 3 2 5 3 5 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 0 5 1 -> 5 2 5 3 1 0 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 4: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 1 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 1 1 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 23-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 5 0 5 -> 0 3 2 5 3 5 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 0 5 1 -> 5 2 5 3 1 0 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 22-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 5 0 5 -> 0 3 2 5 3 5 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 7: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 1 1 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 21-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 1 0 0 5 -> 5 0 0 2 1 5 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 9: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 1 1 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 20-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 , 9.24/2.61 5 4 2 0 1 -> 2 5 4 0 2 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 9: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 1 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 19-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 5 5 0 4 -> 5 0 2 5 4 2 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 18-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 , 9.24/2.61 4 0 0 3 1 -> 4 0 3 2 1 0 , 9.24/2.61 4 0 0 3 1 -> 4 3 2 0 0 1 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 6: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 1 0 1 | 9.24/2.61 | 0 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 1 1 1 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 16-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 0 3 1 -> 4 2 3 1 1 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 1 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 1 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 15-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 , 9.24/2.61 1 0 1 -> 0 2 1 1 2 , 9.24/2.61 1 0 1 -> 1 0 3 2 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 0 1 4 -> 2 3 1 1 4 0 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 4: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 1 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 1 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 11-rule system 9.24/2.61 { 0 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 0 1 -> 0 0 2 2 3 1 , 9.24/2.61 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 4: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 1 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 9-rule system 9.24/2.61 { 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 0 4 5 -> 0 5 0 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 8-rule system 9.24/2.61 { 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 2 0 1 -> 0 0 2 1 3 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 1 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 7-rule system 9.24/2.61 { 1 4 0 -> 1 0 3 2 4 2 , 9.24/2.61 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 4: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 3 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 4 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 1 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 5 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 | 9.24/2.61 | 0 1 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 | 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 9.24/2.61 Remains to prove termination of the 6-rule system 9.24/2.61 { 0 1 2 0 -> 2 0 2 1 0 , 9.24/2.61 0 3 4 0 -> 3 2 4 0 0 3 , 9.24/2.61 0 4 0 4 -> 0 0 3 2 4 4 , 9.24/2.61 1 2 0 4 -> 1 4 2 0 3 2 , 9.24/2.61 1 3 0 4 -> 4 0 3 2 1 3 , 9.24/2.61 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.24/2.61 9.24/2.61 9.24/2.61 The system was filtered by the following matrix interpretation 9.24/2.61 of type E_J with J = {1,...,2} and dimension 5: 9.24/2.61 9.24/2.61 0 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 1 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 \ / 9.24/2.61 1 is interpreted by 9.24/2.61 / \ 9.24/2.61 | 1 0 0 0 0 | 9.24/2.61 | 0 1 0 0 0 | 9.24/2.61 | 0 0 0 1 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 | 0 0 0 0 0 | 9.24/2.61 \ / 9.24/2.61 2 is interpreted by 9.24/2.61 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 5-rule system 9.36/2.63 { 0 3 4 0 -> 3 2 4 0 0 3 , 9.36/2.63 0 4 0 4 -> 0 0 3 2 4 4 , 9.36/2.63 1 2 0 4 -> 1 4 2 0 3 2 , 9.36/2.63 1 3 0 4 -> 4 0 3 2 1 3 , 9.36/2.63 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.36/2.63 9.36/2.63 9.36/2.63 The system was filtered by the following matrix interpretation 9.36/2.63 of type E_J with J = {1,...,2} and dimension 5: 9.36/2.63 9.36/2.63 0 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 1 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 1 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 2 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 1 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 4-rule system 9.36/2.63 { 0 3 4 0 -> 3 2 4 0 0 3 , 9.36/2.63 1 2 0 4 -> 1 4 2 0 3 2 , 9.36/2.63 1 3 0 4 -> 4 0 3 2 1 3 , 9.36/2.63 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.36/2.63 9.36/2.63 9.36/2.63 The system was filtered by the following matrix interpretation 9.36/2.63 of type E_J with J = {1,...,2} and dimension 5: 9.36/2.63 9.36/2.63 0 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 1 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 1 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 2 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 1 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 3-rule system 9.36/2.63 { 0 3 4 0 -> 3 2 4 0 0 3 , 9.36/2.63 1 3 0 4 -> 4 0 3 2 1 3 , 9.36/2.63 0 0 3 3 1 -> 0 3 0 1 2 3 } 9.36/2.63 9.36/2.63 9.36/2.63 The system was filtered by the following matrix interpretation 9.36/2.63 of type E_J with J = {1,...,2} and dimension 9: 9.36/2.63 9.36/2.63 0 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 1 0 0 0 1 1 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 1 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 1 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 2 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 1 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 2-rule system 9.36/2.63 { 0 3 4 0 -> 3 2 4 0 0 3 , 9.36/2.63 1 3 0 4 -> 4 0 3 2 1 3 } 9.36/2.63 9.36/2.63 9.36/2.63 The system was filtered by the following matrix interpretation 9.36/2.63 of type E_J with J = {1,...,2} and dimension 5: 9.36/2.63 9.36/2.63 0 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 1 1 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 1 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 2 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 1 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 1-rule system 9.36/2.63 { 1 3 0 4 -> 4 0 3 2 1 3 } 9.36/2.63 9.36/2.63 9.36/2.63 The system was filtered by the following matrix interpretation 9.36/2.63 of type E_J with J = {1,...,2} and dimension 5: 9.36/2.63 9.36/2.63 0 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 1 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 1 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 1 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 2 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 3 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 1 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 4 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 1 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 \ / 9.36/2.63 5 is interpreted by 9.36/2.63 / \ 9.36/2.63 | 1 0 0 0 0 | 9.36/2.63 | 0 1 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 | 0 0 0 0 0 | 9.36/2.63 \ / 9.36/2.63 9.36/2.63 Remains to prove termination of the 0-rule system 9.36/2.63 { } 9.36/2.63 9.36/2.63 9.36/2.63 The system is trivially terminating. 9.42/2.67 EOF