6.69/1.98 YES 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 4: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 1 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 40-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 3 2 -> 0 2 1 3 , 7.27/2.10 0 3 2 -> 0 2 3 4 , 7.27/2.10 0 3 2 -> 0 0 2 4 3 , 7.27/2.10 0 3 2 -> 0 2 1 4 3 , 7.27/2.10 0 3 2 -> 0 2 4 3 3 , 7.27/2.10 0 3 2 -> 0 2 1 3 3 4 , 7.27/2.10 0 3 2 -> 0 2 3 4 5 5 , 7.27/2.10 0 3 2 -> 2 4 4 3 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 3 2 1 -> 0 0 3 4 2 1 , 7.27/2.10 0 3 2 2 -> 1 3 4 0 2 2 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 4 3 2 -> 2 3 4 4 0 0 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 0 5 3 2 -> 0 2 4 5 3 , 7.27/2.10 0 5 3 2 -> 0 2 5 3 3 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 5 3 2 -> 2 5 2 3 3 , 7.27/2.10 2 5 4 2 -> 0 2 5 2 4 , 7.27/2.10 0 0 3 2 1 -> 0 0 1 3 5 2 , 7.27/2.10 0 1 0 3 2 -> 0 1 4 3 2 0 , 7.27/2.10 0 1 0 3 2 -> 2 3 1 0 0 5 , 7.27/2.10 0 3 2 5 1 -> 0 2 5 1 3 3 , 7.27/2.10 0 5 3 2 1 -> 0 1 3 4 2 5 , 7.27/2.10 0 5 5 3 2 -> 0 2 5 1 3 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 1 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 1 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 1 1 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 25-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 4 3 2 -> 2 3 4 4 0 0 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 0 5 3 2 -> 0 2 4 5 3 , 7.27/2.10 0 5 3 2 -> 0 2 5 3 3 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 5 4 2 -> 0 2 5 2 4 , 7.27/2.10 0 5 3 2 1 -> 0 1 3 4 2 5 , 7.27/2.10 0 5 5 3 2 -> 0 2 5 1 3 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 22-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 4 3 2 -> 2 3 4 4 0 0 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 5 4 2 -> 0 2 5 2 4 , 7.27/2.10 0 5 5 3 2 -> 0 2 5 1 3 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 21-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 4 3 2 -> 2 3 4 4 0 0 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 0 5 5 3 2 -> 0 2 5 1 3 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 1 1 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 1 0 0 | 7.27/2.10 | 0 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 20-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 4 3 2 -> 2 3 4 4 0 0 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 1 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 19-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 1 4 , 7.27/2.10 0 4 2 -> 0 2 3 4 , 7.27/2.10 0 4 2 -> 0 2 4 3 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 4 1 2 -> 1 4 0 2 5 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 4: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 1 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 15-rule system 7.27/2.10 { 0 3 1 -> 0 1 3 4 0 , 7.27/2.10 0 3 1 -> 0 1 3 4 4 , 7.27/2.10 0 3 1 -> 1 3 4 4 4 0 , 7.27/2.10 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 3 1 1 -> 0 1 4 1 3 4 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 3 1 -> 2 0 1 3 5 2 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 0 3 1 1 -> 2 1 0 1 3 4 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 4: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 9-rule system 7.27/2.10 { 0 4 1 -> 0 1 4 4 , 7.27/2.10 0 4 1 -> 0 2 1 4 , 7.27/2.10 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 0 4 1 -> 2 0 1 4 5 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 4: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 1 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 6-rule system 7.27/2.10 { 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 0 5 3 1 -> 0 1 4 3 5 4 , 7.27/2.10 0 5 3 1 -> 0 1 5 3 4 0 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 5: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 | 7.27/2.10 | 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 4-rule system 7.27/2.10 { 2 3 1 -> 1 3 5 2 , 7.27/2.10 2 3 1 -> 0 2 1 3 5 , 7.27/2.10 2 3 1 -> 1 4 3 5 2 , 7.27/2.10 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 4: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 1 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 | 7.27/2.10 | 0 1 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 | 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 1-rule system 7.27/2.10 { 2 5 5 4 1 -> 5 5 2 1 3 4 } 7.27/2.10 7.27/2.10 7.27/2.10 The system was filtered by the following matrix interpretation 7.27/2.10 of type E_J with J = {1,...,2} and dimension 6: 7.27/2.10 7.27/2.10 0 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 1 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 2 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 1 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 3 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 4 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 1 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 5 is interpreted by 7.27/2.10 / \ 7.27/2.10 | 1 0 0 0 0 0 | 7.27/2.10 | 0 1 0 0 0 0 | 7.27/2.10 | 0 0 0 1 0 0 | 7.27/2.10 | 0 0 0 0 1 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 | 0 0 0 0 0 0 | 7.27/2.10 \ / 7.27/2.10 7.27/2.10 Remains to prove termination of the 0-rule system 7.27/2.10 { } 7.27/2.10 7.27/2.10 7.27/2.10 The system is trivially terminating. 7.56/2.21 EOF