9.54/2.64 YES 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 5: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 28-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 5 5 1 0 -> 3 2 2 0 5 1 3 4 0 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 4 0 2 3 4 2 -> 4 0 0 3 1 4 3 0 2 2 , 10.43/2.87 5 2 5 5 1 0 -> 5 5 4 4 0 4 2 0 1 4 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 1 1 1 5 -> 5 0 1 0 1 1 0 1 4 1 , 10.43/2.87 5 5 2 5 5 0 -> 3 4 5 2 5 3 4 4 1 0 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 5 5 5 5 2 5 -> 2 2 3 1 1 4 3 2 4 5 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 , 10.43/2.87 4 5 5 4 2 3 2 -> 4 1 1 5 3 5 1 2 4 2 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 5: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 25-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 4 0 2 3 4 2 -> 4 0 0 3 1 4 3 0 2 2 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 2 5 5 0 -> 3 4 5 2 5 3 4 4 1 0 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 5 5 5 5 2 5 -> 2 2 3 1 1 4 3 2 4 5 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 , 10.43/2.87 4 5 5 4 2 3 2 -> 4 1 1 5 3 5 1 2 4 2 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 24-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 4 0 2 3 4 2 -> 4 0 0 3 1 4 3 0 2 2 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 5 5 5 5 2 5 -> 2 2 3 1 1 4 3 2 4 5 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 , 10.43/2.87 4 5 5 4 2 3 2 -> 4 1 1 5 3 5 1 2 4 2 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 23-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 4 0 2 3 4 2 -> 4 0 0 3 1 4 3 0 2 2 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 , 10.43/2.87 4 5 5 4 2 3 2 -> 4 1 1 5 3 5 1 2 4 2 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 13: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 22-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 4 0 2 3 4 2 -> 4 0 0 3 1 4 3 0 2 2 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 12: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 1 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 21-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 5 4 2 3 0 5 -> 5 5 4 5 4 3 4 1 3 1 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 20-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 5 5 4 5 5 4 -> 2 2 2 5 5 4 3 4 0 4 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 19-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 4 5 4 -> 4 1 1 1 2 1 4 5 2 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 , 10.43/2.87 4 2 5 5 4 2 4 -> 5 5 3 2 0 2 1 0 3 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 4: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 1 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 | 10.43/2.87 | 0 1 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 | 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 17-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 0 2 5 4 3 2 -> 0 2 1 5 2 0 1 2 1 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 1 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 16-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 1 0 0 3 2 -> 2 1 4 3 0 0 3 0 3 2 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 1 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 15-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 2 5 3 0 2 1 -> 2 1 4 5 2 1 2 5 2 1 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 1 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 14-rule system 10.43/2.87 { 2 5 -> 2 4 0 0 4 1 0 0 1 3 , 10.43/2.87 2 5 -> 2 4 3 0 2 2 2 1 4 3 , 10.43/2.87 1 5 0 -> 1 4 4 4 4 0 4 0 1 1 , 10.43/2.87 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 2 5 5 -> 2 0 3 0 4 0 3 3 3 4 , 10.43/2.87 3 1 5 2 5 -> 3 0 2 4 1 2 0 0 5 2 , 10.43/2.87 1 0 5 2 3 4 -> 1 0 0 1 3 0 4 1 0 3 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 2 5 0 5 5 5 -> 2 0 1 2 4 0 5 3 5 5 , 10.43/2.87 3 5 0 4 5 5 -> 3 4 0 3 4 5 2 0 3 3 , 10.43/2.87 1 4 0 5 5 0 5 -> 1 4 3 3 0 4 1 5 3 3 , 10.43/2.87 2 2 3 5 1 2 5 -> 2 2 1 2 4 0 3 3 2 5 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 2: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 1 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 4-rule system 10.43/2.87 { 2 3 5 -> 2 4 0 0 1 5 1 2 2 1 , 10.43/2.87 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 , 10.43/2.87 3 4 2 3 3 5 5 -> 5 3 2 4 0 2 4 4 0 5 , 10.43/2.87 4 2 5 3 4 5 5 -> 5 1 5 2 5 0 4 1 1 0 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 2: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 1 | 10.43/2.87 | 0 1 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 1-rule system 10.43/2.87 { 1 1 5 0 2 3 -> 0 0 4 5 1 1 1 2 2 3 } 10.43/2.87 10.43/2.87 10.43/2.87 The system was filtered by the following matrix interpretation 10.43/2.87 of type E_J with J = {1,...,2} and dimension 7: 10.43/2.87 10.43/2.87 2 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 1 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 5 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 1 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 4 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 0 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 1 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 1 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 1 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 1 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 3 is interpreted by 10.43/2.87 / \ 10.43/2.87 | 1 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 0 0 0 0 0 0 | 10.43/2.87 | 0 1 0 0 0 0 0 | 10.43/2.87 \ / 10.43/2.87 10.43/2.87 Remains to prove termination of the 0-rule system 10.43/2.87 { } 10.43/2.87 10.43/2.87 10.43/2.87 The system is trivially terminating. 11.18/3.11 EOF